Density Transition Based Self-Focusing of cosh-gaussian Laser Beam in Plasma with Linear Absorption

Size: px
Start display at page:

Download "Density Transition Based Self-Focusing of cosh-gaussian Laser Beam in Plasma with Linear Absorption"

Transcription

1 Commun. Theor. Phys. 64 ( Vol. 64, No. 1, July 1, 2015 Density Transition Based Self-Focusing of cosh-gaussian Laser Beam in Plasma with Linear Absorption Niti Kant and Manzoor Ahmad Wani Department of Physics, Lovely Professional University, Phagwara , Punjab (Received February 27, 2015; revised manuscript received April 20, 2015 Abstract Density transition based self-focusing of cosh-gaussian laser beam in plasma with linear absorption has been studied. The field distribution in the plasma is expressed in terms of beam width parameter, decentered parameter, and linear absorption coefficient. The differential equation for the beam width parameter is solved by following Wentzel Kramers Brillouin (WKB and paraxial approximation through parabolic wave equation approach. The behaviour of beam width parameter with dimensionless distance of propagation is studied at optimum values of plasma density, decentered parameter and with different absorption levels in the medium. The results reveal that these parameters can affect the self-focusing significantly. PACS numbers: Hb, Dx Key words: self-focusing, cosh-gaussian beam, plasma density ramp, nonlinearity, linear absorption 1 Introduction The interaction of intense laser beams with plasmas has been a fascinating field of research due to various applications like laser electron acceleration, 1 3] inertial confinement fusion 4 6] and ionospheric modification 7 10] etc. These applications require large interaction region up to several Rayleigh lengths without loss of energy. When a high power laser beam interacts with the plasma, it provides an oscillatory velocity to the electron, which modifies the dielectric constant of the plasma, which leads to the relativistic self-focusing of the laser beam. 11] The steady-state self-focusing/defocusing of a laser beam in a medium is characterized by the real part of dielectric constant having saturating nonlinearity and the imaginary part being determined by multiphoton absorption under paraxial approximation. 12] Takale et al. 13] investigated the self-focusing and defocusing of first six TEM op Hermite Gaussian laser beams in collision-less plasma and found that modes with odd p-values defocus and that with even p-values exhibit oscillatory as well as defocusing character of the beam width parameter variation during laser propagation in collision-less plasma. However, it has been observed that a plasma density ramp of suitable length can reduce these oscillations. 14] The propagation of Hermite-cosh Gaussian (HchG laser beams in n-insb was studied for 0, 1 and 2 mode indices and incorporates the desirability of self-focusing effect in a particular application by exploiting the decentered parameter of the beam. 15] The relativistic selffocusing of cosh-gaussian laser beams in a plasma illustrates that oscillatory self-focusing takes place for decentered parameter; b = 0 & 1 and sharp self-focusing occurs for b = 2. 16] Nanda and Kant et al. 17] have observed that decentered parameter and ramp density profile are important for stronger self-focusing of laser beam. However, by considering the magnetic field and plasma density ramp for Hermite-cosh Gaussian laser beams, it has been found that the presence of plasma density ramp and magnetic field enhances the self-focusing effect to a greater extent. 18] The proper selection of decentered parameter is very much sensitive to self-focusing. 19] However, Kant et al. 20] have observed the effect of plasma density ramp and initial intensity of the laser beam on self-focusing of laser beam. Again, the parameters like density profile, intensity parameter, and decentered parameter play an important role in the improvement of self-focusing ability of laser beam. Further, the upward plasma density ramp in weakly relativistic and ponderomotive regime can accelerate the electron to higher energy over a long propagation distance as compared with uniform density relativistic plasma. 21] The oscillatory self-focusing takes place for different values of intensity parameter and with increase in intensity parameter, the distance between two consecutive points of intersection of two beams increases. 22] The laser beam is compressed and amplified in an enhanced manner by the combined effect of magnetic field, relativistic nonlinearity, and negative initial chirp. 23] It is to be noted that strong self-focusing is obtained by optimizing wavelength and intensity parameters of cosh-gaussian laser beams. 24] In the investigation of self-focusing and frequency broadening of laser pulse in water, the laser beam initially undergoes self-focusing due to Kerr nonlinearity and then nonlinear refraction takes place which causes the laser beam to defocus. 25] Also, it has been found that Supported by a Financial Grant from CSIR, New Delhi, India, under Project No. 03(1277/13/EMR-II nitikant@yahoo.com c 2015 Chinese Physical Society and IOP Publishing Ltd

2 104 Communications in Theoretical Physics Vol. 64 with increase of power density and control parameters lead to trapping of particle in the potential and hence strong focusing. 26] Laser pulse propagating in a plasma under plasma density ramp tends to become more focused. Further, if there is no density ramp, the laser pulse is defocused due to the dominance of the diffraction effect. As the plasma density increases, self-focusing effect becomes stronger. 27] Furthermore, the quantum effects play a vital role in laser-plasma interaction and significantly adds self-focusing in plasma as compared to that of classical relativistic case. 28] However, in addition to quantum effects the upward ramp density profile causes much higher oscillation and better focusing of laser beam in cold quantum plasma. 29] In the present communication, authors have studied the self-focusing of cosh-gaussian laser beam in plasma by taking into account the effect of plasma density ramp and linear absorption through parabolic equation approach under paraxial approximation. The second order differential equation governing the nature of self-focusing of the beam in plasma is obtained. The results are presented graphically and are discussed. Finally, a conclusion is drawn in the last section of the paper. 2 Field Distribution of cosh-gaussian Beams The field distribution of cosh-gaussian laser beam at the plane of z = 0 is described by 30 32] E(r, 0 = E 0 exp ( r2 cosh(ω 0 r, (1 where r 0 is the waist width of the Gaussian amplitude distribution, r is the radial coordinate of the cylindrical coordinate system, E 0 is the amplitude of the electric field at the centre position of r = z = 0 and Ω 0 is the parameter associated with the hyperbolic cosine function also called the cosh factor. On the other hand Eq. (1 can be expressed as follows: E(r, 0 = E ( 0 b 2 2 exp 4 + exp r 2 0 { ( r exp + b 2 ] r 0 2 ( r r 0 b 2 2 ]}, (2 where b = r 0 Ω 0 is the decentered parameter also called the normalized modal parameter. Now, in the presence of absorption alone, the energy concentration of the laser beam decreases by a factor of exp( 2 k i dz which weakens the nonlinear effect. Therefore, in compliance with Eq. (2, we can construct the following ansatz for the field distribution of cosh-gaussian laser beam propagating along the z-axis in a parabolic medium. E(r, 0 = E ( 0 b 2 2f exp 4 { ( r exp( 2k i z exp 2 ] r 0 f + b 2 2 ]}, (3 ( r + exp r 0 f b 2 where k i is the absorption coefficient and f = f(r, z is the dimensionless beam-width parameter of the laser beam in medium, which measures axial intensity and width of the beam. 3 Non-Linear Dielectric Constant The propagation of cosh-gaussian laser beam in a plasma is characterized by a dielectric constant of the form ε = ε 0 + Φ(EE. (4 With ε 0 = 1 ω 2 p/ω 2, ω 2 p = 4πn(ξe 2 /m and n(ξ = n 0 tan (ξ/d, where ε and Φ represent the linear and nonlinear parts of dielectric constant respectively, ω p is plasma frequency, e and m are the electronic charge and rest mass respectively, n 0 is the equilibrium electron density, ξ = z/r d is the normalized propagation distance, R d is the diffraction length and d is a dimensionless adjustable parameter. 4 Self-Focusing The wave equation governing the propagation of laser beam may be written as ( ω 2 2 ( E ε E + c 2 εe + = 0. (5 ε The last term of Eq. (5 on left hand side can be neglected provided that k 2 2 (ln ε 1 where k represents the wave number. Thus, ( ω 2 2 E + c 2 εe = 0. (6 This equation is solved by employing Wentzel Kramers Brillouin (WKB approximation. Under WKB approximation, one of the coupled equations, for intensity A 2 0 and eikonal S(r, z 33 35] of a laser beam in a nonlinear medium is obtained as: 1 ω 2 c 2 ω 2 ωp 2 0 tan(z/dr d ω2 p 0 zsec 2 (z/dr d 2dR d + 1 ( s 2 ω 2 c 2 ω2 ωp 2 0 tan(z/dr d ] r ωp sec 2 (z/dr d 4ω 2 c 2 d 2 Rd 2(ω2 ωp 2 0 tan(z/dr d ω 2 p 0 z(z + ssec 2 (z/dr d 2dR d (s + 2z ]( s z (ω 2 ωp 2 0 tan(z/dr d ] = 1 2 A 0 ω 2 A 0 r A ] 0 + Φ(A2 0 r r c 2. (7 The eikonal S = S(r, z which determines the convergence or divergence of the beam is S(r, z = r 2 /2β(z + ϕ(z. Here, ϕ is the phase factor and β(z = 1/f(z( f/ z represents the curvature of the wavefront. For a parabolic medium, i.e. the nonlinearity factor is proportional to A 2 0, we write Φ(A 2 0 = 1 2 ε 2A 2 0, (8 where ε 2 is the nonlinear coefficient. Employing the field distribution of Eq. (3 and following the procedure of Akhmanov et al. 33] and its extension by Sodha et al., 34] the general differential equation for the propagation of

3 No. 1 Communications in Theoretical Physics 105 cosh-gaussian laser beam in a parabolic medium with linear absorption is formulated as: 1 ω2 p 0 ω 2 tan(ξ/d ω2 ( p 0 ξ ] ω 2 sec 2 2 f (ξ/d d ξ 2 where + 1 ω2 p 0 ω 2 tan(ξ/d + ω2 ( p 0 ξ ] 1 ω 2 sec 2 (ξ/d d f = 2 ( f 3 1 ω2 ( ( p 0 ω 2 tan(ξ/d 5 + 3b2 1 + b2 2 4 ( r0 ω c ( f 2 ξ 2ε2 ( b E0 2 2 ] exp 2 k iξ, (9 k i = k i R d (r 0 ω/c 1 (ωp0 2 /ω2 tan(ξ/d is the normalized absorption coefficient. Equation (9 is the required equation for the beam width parameter and can be solved for f as a function of ξ for various k i levels, from which the variation of beam width parameter f with the dimensionless distance of propagation ξ for cosh-gaussian beams can be studied. 5 Results and Discussion Equation (9 is the second order nonlinear differential equation governing beam width parameter of cosh- Gaussian laser beam in plasma with density ramp and linear absorption. The self-focusing (convergence or defocusing (divergence of the laser beam is determined by the relative magnitude of nonlinear and diffraction terms of Eq. (9. The numerical solution of this equation is possible by using Runge Kutta method with following set of parameters; ω = rad/s, r 0 = 253 µm, d = 8, n 0 = cm 3 and the value of intensity is I 0 = W/cm 2. Further, by choosing suitable laser and plasma parameters, we investigate the focusing/defocusing of cosh-gaussian laser beam in plasma with density ramp profile. Figure 1 shows the variation of beam-width parameter f with normalized propagation distance ξ for decentered parameter b = 0 with ω p0 /ω = 0.2, 0.3, 0.4 & 0.5 for different absorption levels k i = 0.5, 0.6, 0.7 & 0.8. It is clear from the figure that the beam-width parameter first decreases, attains a minimum value and then increases due to the dominance of diffraction term. Strong selffocusing occurs at ω p0 /ω = 0.5, k i = 0.8 and then defocusing takes place as absorption weakens self-focusing effect. Density transition plays an important role to make the self-focusing early and stronger. The variation of beamwidth parameter f with normalized propagation distance ξ for b = 1 is depicted in Fig. 2. It is clear from the figure that sharp self-focusing is observed for ω p0 /ω = 0.5, k i = 1.3. So, with further increase in absorption level, the laser beam is defocused. This is because, the parameters like decentered parameter, plasma density ramp and absorption coefficient are such that they change the nature of self-focusing/defocusing of the laser beam significantly. Fig. 2 Variation of f(ξ with the normalised propagation distance (ξ for different values of k i and ω p0/ω at b = 1. Fig. 1 Variation of f(ξ with the normalised propagation distance (ξ for different values of k i and ω p0/ω at b = 0. Fig. 3 Variation of f(ξ with the normalised propagation distance (ξ for different values of k i and ω p0/ω at b = 2.

4 106 Communications in Theoretical Physics Vol. 64 that the absorption plays a vital role in the self-focusing effect and destroys the oscillatory self-focusing character of laser beam during propagation. Hence, in comparison to Refs. 36] and 37], by applying the density ramp and taking into account the effect of linear absorption, we observe that self-focusing occurs earlier even at ξ = Hence self-focusing length increases with absorption level under the influence of plasma density ramp. Further, we found that study of cosh-gaussian beams can be analyzed in a nonlinear medium like plasma, but the important thing is that the decentered parameter, absorption coefficient, and plasma density ramp are found to change the nature of self-focusing/defocusing of the laser beam significantly. Fig. 4 Variation of f(ξ with the normalised propagation distance (ξ for ω p0/ω = 0.2, k i = 2 and for different values of decentered parameter b. Figure 3 shows the variation of beam width parameter with normalized propagation distance for different combinations of ω p0 /ω and k i. Beam width parameter attains a minimum value at ω p0 /ω = 0.2 with k i = 2 and ω p0 /ω = 0.3 with k i = 3 for decentered parameter b = 2 which leads to strong self-focusing in plasma. Thereafter as soon as the values of ω p0 /ω and k i are increased, defocusing of laser beam takes place and beam width parameter decreases slowly. But, the self-focusing length increases with absorption level. However, in Fig. 4, the variation of beam width parameter with normalized propagation distance ξ is shown for decentered parameter b = 0, 1, 2 and keeping ω p0 /ω and absorption coefficient k i constant at 0.2 and 2 respectively. It is clear from Fig. 4 that sharp self-focusing occurs for b = 2 and for b = 0 and 1, the beam width parameter first decreases and then increases very slowly for lower values of b. Our results support the results obtained with different approach by Gill et al. 38] Figure 5 shows the variation of beam width parameter f with normalized propagation distance ξ for ω p0 /ω = 0.5 and b = 1 with different values of absorption level k i. It is important to notice that early and strong self-focusing occurs for k i < 1.2. After k i > 1.2, the beam width parameter increases slowly and self-defocusing takes place. However, Patil et al. 36] have studied the self-focusing of cosh-gaussian beams in a parabolic medium at various values of linear absorption (k i and decentered parameter (b and found that the self-focusing length increases with absorption level. Further, in the work of Navare et al., 37] while considering the collisional nonlinearity, they found Fig. 5 Variation of f(ξ with the normalised propagation distance (ξ for ω p0/ω = 0.5, b = 1 and for different values of absorption coefficient k i. 6 Conclusion This communication presents an analysis of the propagation of cosh-gaussian laser beam in plasma with density ramp and linear absorption using paraxial approximation. The effect of density ramp on the self-focusing of laser has been analyzed at different values of absorption level and decentered parameter. By optimizing laser and plasma parameters, the combined effect of plasma density ramp and linear absorption on self-focusing has been observed. The results show that self-focusing occurs earlier and becomes stronger under the influence of plasma density ramp. It is noticed that the decentered parameter, absorption coefficient, and plasma density ramp are found to affect the nature of self-focusing/defocusing of the laser beam significantly. References 1] H.Y. Niu, X.T. He, B. Qiao, and C.T. Zhou, Laser Part. Beams 26 ( ] J.X. Lee, W.P. Zang, Y.D. Li, and J.G. Tian, Opt. Exp. 17 ( ] S. Lourenco, N. Kowarsch, W. Scheid, and P.X. Wang,

5 No. 1 Communications in Theoretical Physics 107 Laser Part. Beams 28 ( ] P. Mulser and D. Bauer, Laser Part. Beams 22 ( ] H. Hora, Laser Part. Beams 25 ( ] F. Winterberg, Laser Part. Beams 26 ( ] F.W. Perkins and M.V. Goldman, J. Geophys. Res. 86 ( ] P.N. Guzdar, P.K. Chaturvedi, K. Papadopoulos, and S.L. Ossakow, J. Geophys. Res. 103 ( ] N.A. Gondarenko, S.L. Ossakow, and G.M. Milikh, J. Geophys. Res. 110 ( ] M.J. Keskinen and S. Basu, Radio Sci. 38 ( ] H. Hora, J. Opt. Soc. Am. 65 ( ] G. Prakash, A. Sharma, M.P. Verma, and M.S. Sodha, J. Opt. Soc. Am. B 22 ( ] M.V. Takale, S.T. Navare, S.D. Patil, V.J. Fulari, and M.B. Dongare, Opt. Commun. 282 ( ] D.N. Gupta, M.S. Hur, H. Hwang, and H. Suk, J. Opt. Soc. Am. B 24 ( ] S.D. Patil, M.V. Takale, and M.B. Dongare, Opt. Commun. 281 ( ] S.D. Patil, M.V. Takale, S.T. Navare, V.J. Fulari, and M.B. Dongare, Opt. Laser Tech. 44 ( ] V. Nanda, N. Kant, Phys. Plasmas 21 ( ] V. Nanda, N. Kant, and M.A. Wani, Phys. Plasmas 20 ( ] V. Nanda, N. Kant, and M.A. Wani, IEEE Trans. Plasma Sc. 41 ( ] N. Kant, M.A. Wani, and A. Kumar, Opt. Commun. 285 ( ] S.D. Patil and M.V. Takale, Phys. Plasmas 20 ( ] R. Mahajan, T.S. Gill, and R. Kaur, Optik 124 ( ] M. Olumi and B. Maraghechi, Phys. Plasmas 21 ( ] M. Aggarwal, S. Vij, and N. Kant, Optik 125 ( ] P. Sati, U. Verma, and V.K. Tripathi, Phys. Plasmas 21 ( ] R. Kaur, T.S. Gill, and R. Mahajan, Optik 122 ( ] N. Kant, S. Saralch, and H. Singh, Nukleonika 56 ( ] S.D. Patil, M.V. Takale, S.T. Navare, M.B. Dongare, and V.J. Fulari, Optik 124 ( ] M. Habibi and F. Ghamari, Phys. Plasmas 19 ( ] L.W. Casperson, D.G. Hall, and A.A. Tovar, J. Opt. Soc. Am. A 14 ( ] B. Lu, H. Ma, and B. Zhang, Opt. Commun. 164 ( ] B. Lu and S. Luo, Opt. Commun. 178 ( ] S.A. Akhmanov, A.P. Sukhorukov, and R.V. Khokhlov, Sov. Phys. Uspekhi 10 ( ] M.S. Sodha, A.K. Ghatak, and V.K. Tripathi, Selffocusing of Laser Beams in Dielectrics, Plasmas and Semiconductors, Tata McGraw-Hill, Delhi ( ] M.S. Sodha, A.K. Ghatak, and V.K. Tripathi, Selfgocusing of Lasers in Plasmas and Semiconductors, ed. by E. Wolf, Progress in Optics. Vol. XIII. North-Holland, Amsterdam ( ] S.D. Patil, S.T. Navare, M.V. Takale, and M.B. Dongare, Opt. Lasers Eng. 47 ( ] S.T. Navare, M.V. Takale, S.D. Patil, V.J. Fulari, and M.B. Dongare, Opt. Lasers Eng. 50 ( ] T.S. Gill, R. Mahajan, and R. Kaur, Phys. Plasmas 18 (

Self-Focusing/Defocusing of Chirped Gaussian Laser Beam in Collisional Plasma with Linear Absorption

Self-Focusing/Defocusing of Chirped Gaussian Laser Beam in Collisional Plasma with Linear Absorption Commun. Theor. Phys. 66 216 349 354 Vol. 66, No. 3, September 1, 216 Self-Focusing/Defocusing of Chirped Gaussian Laser Beam in Collisional Plasma with Linear Absorption Manzoor Ahmad Wani and Niti Kant

More information

Non-linear propagation of laser beam and focusing due to self-action in optical fiber: Non-paraxial approach

Non-linear propagation of laser beam and focusing due to self-action in optical fiber: Non-paraxial approach PRAMANA cfl Indian Academy of Sciences Vol. 61, No. 4 journal of October 003 physics pp. 693 706 Non-linear propagation of laser beam and focusing due to self-action in optical fiber: Non-paraxial approach

More information

Electron Acceleration by Beating of Two Intense Cross-Focused Hollow Gaussian Laser Beams in Plasma

Electron Acceleration by Beating of Two Intense Cross-Focused Hollow Gaussian Laser Beams in Plasma Commun. Theor. Phys. 69 018 86 94 Vol. 69, No. 1, January 1, 018 Electron Acceleration by Beating of Two Intense Cross-Focused Hollow Gaussian Laser Beams in Plasma Saleh T. Mahmoud, 1 Rakhi Gauniyal,

More information

Computer simulation of cylindrical laser beam self-focusing in a plasma

Computer simulation of cylindrical laser beam self-focusing in a plasma Computer simulation of cylindrical laser beam self-focusing in a plasma D. Subbarao a *, Karuna Batra a, b, Manik Bali c, Sugata Mitra b a Fusion Studies Program, Plasma Sc. and Tech. Group, Centre for

More information

Recent developments in the Dutch Laser Wakefield Accelerators program at the University of Twente: New external bunch injection scheme.

Recent developments in the Dutch Laser Wakefield Accelerators program at the University of Twente: New external bunch injection scheme. Recent developments in the Dutch Laser Wakefield Accelerators program at the University of Twente: New external bunch injection scheme. A.G. Khachatryan, F.A. van Goor, J.W.J. Verschuur and K.-J. Boller

More information

Propagation of Lorentz Gaussian Beams in Strongly Nonlocal Nonlinear Media

Propagation of Lorentz Gaussian Beams in Strongly Nonlocal Nonlinear Media Commun. Theor. Phys. 6 04 4 45 Vol. 6, No., February, 04 Propagation of Lorentz Gaussian Beams in Strongly Nonlocal Nonlinear Media A. Keshavarz and G. Honarasa Department of Physics, Faculty of Science,

More information

A Single-Beam, Ponderomotive-Optical Trap for Energetic Free Electrons

A Single-Beam, Ponderomotive-Optical Trap for Energetic Free Electrons A Single-Beam, Ponderomotive-Optical Trap for Energetic Free Electrons Traditionally, there have been many advantages to using laser beams with Gaussian spatial profiles in the study of high-field atomic

More information

MODELLING PLASMA FLUORESCENCE INDUCED BY FEMTOSECOND PULSE PROPAGATION IN IONIZING GASES

MODELLING PLASMA FLUORESCENCE INDUCED BY FEMTOSECOND PULSE PROPAGATION IN IONIZING GASES MODELLING PLASMA FLUORESCENCE INDUCED BY FEMTOSECOND PULSE PROPAGATION IN IONIZING GASES V. TOSA 1,, A. BENDE 1, T. D. SILIPAS 1, H. T. KIM, C. H. NAM 1 National Institute for R&D of Isotopic and Molecular

More information

Fast proton bunch generation in the interaction of ultraintense laser pulses with high-density plasmas

Fast proton bunch generation in the interaction of ultraintense laser pulses with high-density plasmas Fast proton bunch generation in the interaction of ultraintense laser pulses with high-density plasmas T.Okada, Y.Mikado and A.Abudurexiti Tokyo University of Agriculture and Technology, Tokyo -5, Japan

More information

Electron acceleration by tightly focused radially polarized few-cycle laser pulses

Electron acceleration by tightly focused radially polarized few-cycle laser pulses Chin. Phys. B Vol. 1, No. (1) 411 Electron acceleration by tightly focused radially polarized few-cycle laser pulses Liu Jin-Lu( ), Sheng Zheng-Ming( ), and Zheng Jun( ) Key Laboratory for Laser Plasmas

More information

Part II. Interaction with Single Atoms. Multiphoton Ionization Tunneling Ionization Ionization- Induced Defocusing High Harmonic Generation in Gases

Part II. Interaction with Single Atoms. Multiphoton Ionization Tunneling Ionization Ionization- Induced Defocusing High Harmonic Generation in Gases - Part II 27 / 115 - 2-28 / 115 Bohr model recap. At the Bohr radius - a B = the electric field strength is: 2 me 2 = 5.3 10 9 cm, E a = e ab 2 (cgs) 5.1 10 9 Vm 1. This leads to the atomic intensity:

More information

Focal shift in vector beams

Focal shift in vector beams Focal shift in vector beams Pamela L. Greene The Institute of Optics, University of Rochester, Rochester, New York 1467-186 pgreene@optics.rochester.edu Dennis G. Hall The Institute of Optics and The Rochester

More information

Long- and short-term average intensity for multi-gaussian beam with a common axis in turbulence

Long- and short-term average intensity for multi-gaussian beam with a common axis in turbulence Chin. Phys. B Vol. 0, No. 1 011) 01407 Long- and short-term average intensity for multi-gaussian beam with a common axis in turbulence Chu Xiu-Xiang ) College of Sciences, Zhejiang Agriculture and Forestry

More information

Part VIII. Interaction with Solids

Part VIII. Interaction with Solids I with Part VIII I with Solids 214 / 273 vs. long pulse is I with Traditional i physics (ICF ns lasers): heating and creation of long scale-length plasmas Laser reflected at critical density surface Fast

More information

ANALYSIS OF AN INJECTION-LOCKED BISTABLE SEMICONDUCTOR LASER WITH THE FREQUENCY CHIRPING

ANALYSIS OF AN INJECTION-LOCKED BISTABLE SEMICONDUCTOR LASER WITH THE FREQUENCY CHIRPING Progress In Electromagnetics Research C, Vol. 8, 121 133, 2009 ANALYSIS OF AN INJECTION-LOCKED BISTABLE SEMICONDUCTOR LASER WITH THE FREQUENCY CHIRPING M. Aleshams Department of Electrical and Computer

More information

Alka Sharma Department of Physics, J. N. P. G. College Lucknow University, Lucknow, India

Alka Sharma Department of Physics, J. N. P. G. College Lucknow University, Lucknow, India IOSR Journal of Applied Physics (IOSR-JAP) e-issn: 78-4861.Volume 8, Issue 4 Ver. II (Jul. - Aug. 016), PP 87-91 www.iosrjournals.org Analysis Of Waveguide Whose Guiding Region Filled With Dielectric Material

More information

An alternative method to specify the degree of resonator stability

An alternative method to specify the degree of resonator stability PRAMANA c Indian Academy of Sciences Vol. 68, No. 4 journal of April 2007 physics pp. 571 580 An alternative method to specify the degree of resonator stability JOGY GEORGE, K RANGANATHAN and T P S NATHAN

More information

Vectorial structure and beam quality of vector-vortex Bessel Gauss beams in the far field

Vectorial structure and beam quality of vector-vortex Bessel Gauss beams in the far field COL (Suppl., S6( CHINESE OPTICS LETTERS June 3, Vectorial structure and beam quality of vector-vortex Bessel Gauss beams in the far field Lina Guo (, and Zhilie Tang ( School of Physics and Telecommunication

More information

Transverse modulation instability of copropagating optical beams in nonlinear Kerr media

Transverse modulation instability of copropagating optical beams in nonlinear Kerr media 172 J. Opt. Soc. Am. B/Vol. 7, No. 6/June 199 Transverse modulation instability of copropagating optical beams in nonlinear Kerr media The Institute of Optics, University of Rochester, Rochester, New York

More information

Γ f Σ z Z R

Γ f Σ z Z R SLACPUB866 September Ponderomotive Laser Acceleration and Focusing in Vacuum for Generation of Attosecond Electron Bunches Λ G. V. Stupakov Stanford Linear Accelerator Center Stanford University, Stanford,

More information

Double-distance propagation of Gaussian beams passing through a tilted cat-eye optical lens in a turbulent atmosphere

Double-distance propagation of Gaussian beams passing through a tilted cat-eye optical lens in a turbulent atmosphere Double-distance propagation of Gaussian beams passing through a tilted cat-eye optical lens in a turbulent atmosphere Zhao Yan-Zhong( ), Sun Hua-Yan( ), and Song Feng-Hua( ) Department of Photoelectric

More information

Generation of a single attosecond pulse from an overdense plasma surface driven by a laser pulse with time-dependent polarization

Generation of a single attosecond pulse from an overdense plasma surface driven by a laser pulse with time-dependent polarization Generation of a single attosecond pulse from an overdense plasma surface driven by a laser pulse with time-dependent polarization Luo Mu-Hua( ) and Zhang Qiu-Ju( ) College of Physics and Electronics, Shandong

More information

Theoretical Analysis of Second Harmonic Generation Considering Laser Absorption with Repetitive Irradiation of Focused Beam

Theoretical Analysis of Second Harmonic Generation Considering Laser Absorption with Repetitive Irradiation of Focused Beam JLMN-Journal of Laser Micro/Nanoengineering Vol. 1, No. 3, 6 Theoretical Analysis of Second Harmonic Generation Considering Laser Absorption with Repetitive Irradiation of ocused Beam Kazufumi Nomura *,

More information

Stable Propagating Waves and Wake Fields in Relativistic Electromagnetic Plasma

Stable Propagating Waves and Wake Fields in Relativistic Electromagnetic Plasma Commun. Theor. Phys. (Beijing, China) 49 (2008) pp. 753 758 c Chinese Physical Society Vol. 49, No. 3, March 15, 2008 Stable Propagating Waves and Wake Fields in Relativistic Electromagnetic Plasma XIE

More information

Femtosecond laser-tissue interactions. G. Fibich. University of California, Los Angeles, Department of Mathematics ABSTRACT

Femtosecond laser-tissue interactions. G. Fibich. University of California, Los Angeles, Department of Mathematics ABSTRACT Femtosecond laser-tissue interactions G. Fibich University of California, Los Angeles, Department of Mathematics Los-Angeles, CA 90095 ABSTRACT Time dispersion plays an important role in the propagation

More information

Analysis of second-harmonic generation microscopy under refractive index mismatch

Analysis of second-harmonic generation microscopy under refractive index mismatch Vol 16 No 11, November 27 c 27 Chin. Phys. Soc. 19-1963/27/16(11/3285-5 Chinese Physics and IOP Publishing Ltd Analysis of second-harmonic generation microscopy under refractive index mismatch Wang Xiang-Hui(

More information

Stimulated Raman Scattering and Nonlinear Focusing of High-Power Laser Beams Propagating in Water

Stimulated Raman Scattering and Nonlinear Focusing of High-Power Laser Beams Propagating in Water Stimulated Raman Scattering and Nonlinear Focusing of High-Power Laser Beams Propagating in Water B. Hafizi, J.P. Palastro*, J.R. Peñano, D.F. Gordon, T.G. Jones, M.H. Helle and D. Kaganovich Naval Research

More information

Stability and instability of solitons in inhomogeneous media

Stability and instability of solitons in inhomogeneous media Stability and instability of solitons in inhomogeneous media Yonatan Sivan, Tel Aviv University, Israel now at Purdue University, USA G. Fibich, Tel Aviv University, Israel M. Weinstein, Columbia University,

More information

Diffusion of silver in silicate glass and clustering in hydrogen atmosphere

Diffusion of silver in silicate glass and clustering in hydrogen atmosphere Defect and Diffusion Forum Vols. 7-4 (5) pp. 689-694 online at http://www.scientific.net 5 Trans Tech Publications, Switzerland Diffusion of silver in silicate glass and clustering in hydrogen atmosphere

More information

Relativistic self-focusing in underdense plasma

Relativistic self-focusing in underdense plasma Physica D 152 153 2001) 705 713 Relativistic self-focusing in underdense plasma M.D. Feit, A.M. Komashko, A.M. Rubenchik Lawrence Livermore National Laboratory, PO Box 808, Mail Stop L-399, Livermore,

More information

Laser Optics-II. ME 677: Laser Material Processing Instructor: Ramesh Singh 1

Laser Optics-II. ME 677: Laser Material Processing Instructor: Ramesh Singh 1 Laser Optics-II 1 Outline Absorption Modes Irradiance Reflectivity/Absorption Absorption coefficient will vary with the same effects as the reflectivity For opaque materials: reflectivity = 1 - absorptivity

More information

Course Secretary: Christine Berber O3.095, phone x-6351,

Course Secretary: Christine Berber O3.095, phone x-6351, IMPRS: Ultrafast Source Technologies Franz X. Kärtner (Umit Demirbas) & Thorsten Uphues, Bldg. 99, O3.097 & Room 6/3 Email & phone: franz.kaertner@cfel.de, 040 8998 6350 thorsten.uphues@cfel.de, 040 8998

More information

gives rise to multitude of four-wave-mixing phenomena which are of great

gives rise to multitude of four-wave-mixing phenomena which are of great Module 4 : Third order nonlinear optical processes Lecture 26 : Third-order nonlinearity measurement techniques: Z-Scan Objectives In this lecture you will learn the following Theory of Z-scan technique

More information

arxiv: v1 [math-ph] 3 Nov 2011

arxiv: v1 [math-ph] 3 Nov 2011 Formalism of operators for Laguerre-Gauss modes A. L. F. da Silva (α), A. T. B. Celeste (β), M. Pazetti (γ), C. E. F. Lopes (δ) (α,β) Instituto Federal do Sertão Pernambucano, Petrolina - PE, Brazil (γ)

More information

THE PARAXIAL WAVE EQUATION GAUSSIAN BEAMS IN UNIFORM MEDIA:

THE PARAXIAL WAVE EQUATION GAUSSIAN BEAMS IN UNIFORM MEDIA: THE PARAXIAL WAVE EQUATION GAUSSIAN BEAMS IN UNIFORM MEDIA: In point-to-point communication, we may think of the electromagnetic field as propagating in a kind of "searchlight" mode -- i.e. a beam of finite

More information

Tailorable stimulated Brillouin scattering in nanoscale silicon waveguides.

Tailorable stimulated Brillouin scattering in nanoscale silicon waveguides. Tailorable stimulated Brillouin scattering in nanoscale silicon waveguides. Heedeuk Shin 1, Wenjun Qiu 2, Robert Jarecki 1, Jonathan A. Cox 1, Roy H. Olsson III 1, Andrew Starbuck 1, Zheng Wang 3, and

More information

Preparation of the concerned sectors for educational and R&D activities related to the Hungarian ELI project

Preparation of the concerned sectors for educational and R&D activities related to the Hungarian ELI project Preparation of the concerned sectors for educational and R&D activities related to the Hungarian ELI project Ion acceleration in plasmas Lecture 10. Collisionless shock wave acceleration in plasmas pas

More information

Summary of Beam Optics

Summary of Beam Optics Summary of Beam Optics Gaussian beams, waves with limited spatial extension perpendicular to propagation direction, Gaussian beam is solution of paraxial Helmholtz equation, Gaussian beam has parabolic

More information

Non-Orthogonal Domain Parabolic Equation and Its Tilted Gaussian Beam Solutions Yakir Hadad and Timor Melamed

Non-Orthogonal Domain Parabolic Equation and Its Tilted Gaussian Beam Solutions Yakir Hadad and Timor Melamed 1164 IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 58, NO. 4, APRIL 2010 Non-Orthogonal Domain Parabolic Equation and Its Tilted Gaussian Beam Solutions Yakir Hadad and Timor Melamed Abstract A non-orthogonal

More information

Strong focusing higher-order laser modes: transverse and longitudinal optical fields

Strong focusing higher-order laser modes: transverse and longitudinal optical fields Journal of Physics: Conference Series PAPER OPEN ACCESS Strong focusing higher-order laser modes: transverse and longitudinal optical fields To cite this article: A V Kharitonov and S S Kharintsev 015

More information

Brief, Incomplete Summary of Some Literature on Ionization

Brief, Incomplete Summary of Some Literature on Ionization Page 1 Brief, Incomplete Summary of Some Literature on Ionization Regimes of Photo Ionization There are two limiting regimes for ionization in strong optical fields. From reference [1]. The ratio γ of

More information

Lecture 4: Optics / C2: Quantum Information and Laser Science

Lecture 4: Optics / C2: Quantum Information and Laser Science Lecture 4: ptics / C2: Quantum Information and Laser Science November 4, 2008 Gaussian Beam An important class of propagation problem concerns well-collimated, spatiall localized beams, such as those emanating

More information

Pulse Expansion and Doppler Shift of Ultrahigh Intense Short Pulse Laser by Slightly Overdense Plasma

Pulse Expansion and Doppler Shift of Ultrahigh Intense Short Pulse Laser by Slightly Overdense Plasma Pulse Expansion and Doppler Shift of Ultrahigh Intense Short Pulse Laser by Slightly Overdense Plasma Hitoshi SAKAGAMI and Kunioki MIMA 1) Department of Simulation Science, National Institute for Fusion

More information

Emittance Limitation of a Conditioned Beam in a Strong Focusing FEL Undulator. Abstract

Emittance Limitation of a Conditioned Beam in a Strong Focusing FEL Undulator. Abstract SLAC PUB 11781 March 26 Emittance Limitation of a Conditioned Beam in a Strong Focusing FEL Undulator Z. Huang, G. Stupakov Stanford Linear Accelerator Center, Stanford, CA 9439 S. Reiche University of

More information

Programming of the Generalized Nonlinear Paraxial Equation for the Formation of Solitons with Mathematica

Programming of the Generalized Nonlinear Paraxial Equation for the Formation of Solitons with Mathematica American Journal of Applied Sciences (): -6, 4 ISSN 546-99 Science Publications, 4 Programming of the Generalized Nonlinear Paraxial Equation for the Formation of Solitons with Mathematica Frederick Osman

More information

EE485 Introduction to Photonics

EE485 Introduction to Photonics Pattern formed by fluorescence of quantum dots EE485 Introduction to Photonics Photon and Laser Basics 1. Photon properties 2. Laser basics 3. Characteristics of laser beams Reading: Pedrotti 3, Sec. 1.2,

More information

Spatial evolution of laser beam profiles in an SBS amplifier

Spatial evolution of laser beam profiles in an SBS amplifier Spatial evolution of laser beam profiles in an SBS amplifier Edward J. Miller, Mark D. Skeldon, and Robert W. Boyd We have performed an experimental and theoretical analysis of the modification of the

More information

Theoretical study of two-element array of equilateral triangular patch microstrip antenna on ferrite substrate

Theoretical study of two-element array of equilateral triangular patch microstrip antenna on ferrite substrate PRAMANA c Indian Academy of Sciences Vol. 65, No. 3 journal of September 2005 physics pp. 501 512 Theoretical study of two-element array of equilateral triangular patch microstrip antenna on ferrite substrate

More information

LIST OF TOPICS BASIC LASER PHYSICS. Preface xiii Units and Notation xv List of Symbols xvii

LIST OF TOPICS BASIC LASER PHYSICS. Preface xiii Units and Notation xv List of Symbols xvii ate LIST OF TOPICS Preface xiii Units and Notation xv List of Symbols xvii BASIC LASER PHYSICS Chapter 1 An Introduction to Lasers 1.1 What Is a Laser? 2 1.2 Atomic Energy Levels and Spontaneous Emission

More information

Laser pulse propagation in a meter scale rubidium vapor/plasma cell in AWAKE experiment

Laser pulse propagation in a meter scale rubidium vapor/plasma cell in AWAKE experiment Laser pulse propagation in a meter scale rubidium vapor/plasma cell in AWAKE experiment arxiv:1512.05235v1 [physics.plasm-ph] 16 Dec 2015 A. Joulaei 1, 3, J.Moody 1, N. Berti 2, J. Kasparian 2, S. Mirzanejhad

More information

plasma optics Amplification of light pulses: non-ionised media

plasma optics Amplification of light pulses: non-ionised media Amplification of light pulses: non-ionised media since invention of laser: constant push towards increasing focused intensity of the light pulses Chirped pulse amplification D. Strickland, G. Mourou, Optics

More information

Plane electromagnetic waves and Gaussian beams (Lecture 17)

Plane electromagnetic waves and Gaussian beams (Lecture 17) Plane electromagnetic waves and Gaussian beams (Lecture 17) February 2, 2016 305/441 Lecture outline In this lecture we will study electromagnetic field propagating in space free of charges and currents.

More information

Wave propagation in parallel-plate waveguides filled with nonlinear left-handed material

Wave propagation in parallel-plate waveguides filled with nonlinear left-handed material Wave propagation in parallel-plate waveguides filled with nonlinear left-handed material Burhan Zamir and Rashid Ali Department of Physics, University of the Punjab, Quaid-i-Azam Campus, Lahore-54590,

More information

Supplementary Figure 1. Illustration of the angular momentum selection rules for stimulated

Supplementary Figure 1. Illustration of the angular momentum selection rules for stimulated 0 = 0 1 = 0 0 = 0 1 = 1 0 = -1 1 = 1 0 = 1 1 = 1 k φ k φ k φ k φ a p = 0 b p = -1 c p = - d p = 0 Supplementary Figure 1. Illustration of the angular momentum selection rules for stimulated Raman backscattering

More information

Focusing of elliptically polarized Gaussian beams through an annular high numerical aperture

Focusing of elliptically polarized Gaussian beams through an annular high numerical aperture Focusing of elliptically polarized Gaussian beams through an annular high numerical aperture Chen Bao-Suan( 陈宝算 ) and Pu Ji-Xiong( 蒲继雄 ) Department of Information Science & Engineering, Huaqiao University,

More information

Gaussian beam diffraction in inhomogeneous and nonlinear media: analytical and numerical solutions by complex geometrical optics

Gaussian beam diffraction in inhomogeneous and nonlinear media: analytical and numerical solutions by complex geometrical optics Cent. Eur. J. Phys. 6(3 008 603-6 DOI: 0.478/s534-008-0094- Central European Journal of Physics Gaussian beam diffraction in inhomogeneous and nonlinear media: analytical and numerical solutions by complex

More information

MODAL DISPERSION CHARACTERISTICS OF A SINGLE MODE DIELECTRIC OPTICAL WAVEGUIDE WITH A GUIDING REGION CROSS-SECTION BOUNDED BY TWO INVOLUTED SPIRALS

MODAL DISPERSION CHARACTERISTICS OF A SINGLE MODE DIELECTRIC OPTICAL WAVEGUIDE WITH A GUIDING REGION CROSS-SECTION BOUNDED BY TWO INVOLUTED SPIRALS Progress In Electromagnetics Research, PIER 73, 1 13, 2007 MODAL DISPERSION CHARACTERISTICS OF A SINGLE MODE DIELECTRIC OPTICAL WAVEGUIDE WITH A GUIDING REGION CROSS-SECTION BOUNDED BY TWO INVOLUTED SPIRALS

More information

Spatiotemporal coupling in dispersive nonlinear planar waveguides

Spatiotemporal coupling in dispersive nonlinear planar waveguides 2382 J. Opt. Soc. Am. B/Vol. 12, No. 12/December 1995 A. T. Ryan and G. P. Agrawal Spatiotemporal coupling in dispersive nonlinear planar waveguides Andrew T. Ryan and Govind P. Agrawal The Institute of

More information

Optical Solitons. Lisa Larrimore Physics 116

Optical Solitons. Lisa Larrimore Physics 116 Lisa Larrimore Physics 116 Optical Solitons An optical soliton is a pulse that travels without distortion due to dispersion or other effects. They are a nonlinear phenomenon caused by self-phase modulation

More information

Optical Self-Organization in Semiconductor Lasers Spatio-temporal Dynamics for All-Optical Processing

Optical Self-Organization in Semiconductor Lasers Spatio-temporal Dynamics for All-Optical Processing Optical Self-Organization in Semiconductor Lasers Spatio-temporal Dynamics for All-Optical Processing Self-Organization for all-optical processing What is at stake? Cavity solitons have a double concern

More information

OPTI 511R, Spring 2018 Problem Set 10 Prof. R.J. Jones Due Thursday, April 19

OPTI 511R, Spring 2018 Problem Set 10 Prof. R.J. Jones Due Thursday, April 19 OPTI 511R, Spring 2018 Problem Set 10 Prof. R.J. Jones Due Thursday, April 19 1. (a) Suppose you want to use a lens focus a Gaussian laser beam of wavelength λ in order to obtain a beam waist radius w

More information

NON UNIFORM SAMPLING AND GAUSSIAN PROCESS REGRESSION IN TRANSPORT OF INTENSITY PHASE IMAGING

NON UNIFORM SAMPLING AND GAUSSIAN PROCESS REGRESSION IN TRANSPORT OF INTENSITY PHASE IMAGING NON UNIFORM SAMPLING AND GAUSSIAN PROCESS REGRESSION IN TRANSPORT OF INTENSITY PHASE IMAGING Zhong Jingshan,2, Rene A. Claus 3, Justin Dauwels, Lei Tian 2, Laura Waller 2 School of Electrical and Electronic

More information

B 2 P 2, which implies that g B should be

B 2 P 2, which implies that g B should be Enhanced Summary of G.P. Agrawal Nonlinear Fiber Optics (3rd ed) Chapter 9 on SBS Stimulated Brillouin scattering is a nonlinear three-wave interaction between a forward-going laser pump beam P, a forward-going

More information

Proton Beam Generated by Multi-Lasers Interaction with Rear-Holed Target

Proton Beam Generated by Multi-Lasers Interaction with Rear-Holed Target Commun. Theor. Phys. 67 (2017) 322 326 Vol. 67, No. 3, March 1, 2017 Proton Beam Generated by Multi-Lasers Interaction with Rear-Holed Target Peng Yang ( 杨鹏 ), Da-Peng Fan ( 范大鹏 ), and Yu-Xiao Li ( 李玉晓

More information

Effects of ion temperature on electrostatic solitary structures in nonthermal plasmas

Effects of ion temperature on electrostatic solitary structures in nonthermal plasmas PHYSICAL REVIEW E VOLUME 55, NUMBER FEBRUARY 1997 Effects of ion temperature on electrostatic solitary structures in nonthermal plasmas A. A. Mamun Department of Physics, Jahangirnagar University, Savar,

More information

Computer Physics Communications

Computer Physics Communications Computer Physics Communications 180 (2009) 651 655 Contents lists available at ScienceDirect Computer Physics Communications www.elsevier.com/locate/cpc Two-dimensional simulations of the amplification

More information

The Gouy phase shift in nonlinear interactions of waves

The Gouy phase shift in nonlinear interactions of waves The Gouy phase shift in nonlinear interactions of waves Nico Lastzka 1 and Roman Schnabel 1 1 Institut für Gravitationsphysik, Leibniz Universität Hannover and Max-Planck-Institut für Gravitationsphysik

More information

by focussed laser beam

by focussed laser beam Appl. Phys. B 78, 87 92 (2004) DOI: 10.1007/s00340-003-1313-5 Applied Physics B Lasers and Optics k. koynov 2 s. saltiel 1 generation in single nonlinear medium r. ivanov 1, Double phase-matched cascaded

More information

Relativistic laser beam propagation and critical density increase in a plasma

Relativistic laser beam propagation and critical density increase in a plasma Relativistic laser beam propagation and critical density increase in a plasma Su-Ming Weng Theoretical Quantum Electronics (TQE), Technische Universität Darmstadt, Germany Joint work with Prof. Peter Mulser

More information

A Photon Accelerator Large Blueshifting of Femtosecond Pulses in Semiconductors

A Photon Accelerator Large Blueshifting of Femtosecond Pulses in Semiconductors A Photon Accelerator Large Blueshifting of Femtosecond Pulses in Semiconductors V.I. Berezhiani International Center for Theoretical Physics, 34100 Trieste, Italy S.M. Mahajan Institute for Fusion Studies,

More information

arxiv: v1 [physics.optics] 30 Mar 2010

arxiv: v1 [physics.optics] 30 Mar 2010 Analytical vectorial structure of non-paraxial four-petal Gaussian beams in the far field Xuewen Long a,b, Keqing Lu a, Yuhong Zhang a,b, Jianbang Guo a,b, and Kehao Li a,b a State Key Laboratory of Transient

More information

Measurement of lower hybrid waves using microwave scattering technique in Alcator C-Mod

Measurement of lower hybrid waves using microwave scattering technique in Alcator C-Mod Measurement of lower hybrid waves using microwave scattering technique in Alcator C-Mod S. Baek, R. Parker, S. Shiraiwa, A. Dominguez, E. Marmar, G. Wallace, G. J. Kramer* Plasma Science and Fusion Center,

More information

Strongly enhanced negative dispersion from thermal lensing or other focusing effects in femtosecond laser cavities

Strongly enhanced negative dispersion from thermal lensing or other focusing effects in femtosecond laser cavities 646 J. Opt. Soc. Am. B/ Vol. 17, No. 4/ April 2000 Paschotta et al. Strongly enhanced negative dispersion from thermal lensing or other focusing effects in femtosecond laser cavities R. Paschotta, J. Aus

More information

Theoretical Analysis of the TE Mode Cerenkov Type Second Harmonic Generation in Ion-Implanted X-Cut Lithium Niobate Planar Waveguides

Theoretical Analysis of the TE Mode Cerenkov Type Second Harmonic Generation in Ion-Implanted X-Cut Lithium Niobate Planar Waveguides Vol. 115 (2009) ACTA PHYSICA POLONICA A No. 3 Theoretical Analysis of the TE Mode Cerenkov Type Second Harmonic Generation in Ion-Implanted X-Cut Lithium Niobate Planar Waveguides G. Du, G. Li, S. Zhao,

More information

Superposition of electromagnetic waves

Superposition of electromagnetic waves Superposition of electromagnetic waves February 9, So far we have looked at properties of monochromatic plane waves. A more complete picture is found by looking at superpositions of many frequencies. Many

More information

Effects of self-steepening and self-frequency shifting on short-pulse splitting in dispersive nonlinear media

Effects of self-steepening and self-frequency shifting on short-pulse splitting in dispersive nonlinear media PHYSICAL REVIEW A VOLUME 57, NUMBER 6 JUNE 1998 Effects of self-steepening and self-frequency shifting on short-pulse splitting in dispersive nonlinear media Marek Trippenbach and Y. B. Band Departments

More information

Propagation of a weakly nonlinear laser pulse in a curved plasma channel

Propagation of a weakly nonlinear laser pulse in a curved plasma channel PHYSICS OF PLASMAS 14, 5314 7 Propagation of a weakly nonlinear laser pulse in a curved plasma channel A. J. W. Reitsma and D. A. Jaroszynski Department of Physics, University of Strathclyde, Glasgow G4

More information

Supplemental material for Bound electron nonlinearity beyond the ionization threshold

Supplemental material for Bound electron nonlinearity beyond the ionization threshold Supplemental material for Bound electron nonlinearity beyond the ionization threshold 1. Experimental setup The laser used in the experiments is a λ=800 nm Ti:Sapphire amplifier producing 42 fs, 10 mj

More information

United Nations Educational, Scientific and Cultural Organization and International Atomic Energy Agency

United Nations Educational, Scientific and Cultural Organization and International Atomic Energy Agency Available at: http://publications.ictp.it IC /2010/046 United Nations Educational, Scientific and Cultural Organization and International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL

More information

Effects of resonator input power on Kerr lens mode-locked lasers

Effects of resonator input power on Kerr lens mode-locked lasers PRAMANA c Indian Academy of Sciences Vol. 85, No. 1 journal of July 2015 physics pp. 115 124 Effects of resonator input power on Kerr lens mode-locked lasers S KAZEMPOUR, A KESHAVARZ and G HONARASA Department

More information

Nonlinear Optics (WiSe 2015/16) Lecture 12: January 15, 2016

Nonlinear Optics (WiSe 2015/16) Lecture 12: January 15, 2016 Nonlinear Optics (WiSe 2015/16) Lecture 12: January 15, 2016 12 High Harmonic Generation 12.1 Atomic units 12.2 The three step model 12.2.1 Ionization 12.2.2 Propagation 12.2.3 Recombination 12.3 Attosecond

More information

Optical time-domain differentiation based on intensive differential group delay

Optical time-domain differentiation based on intensive differential group delay Optical time-domain differentiation based on intensive differential group delay Li Zheng-Yong( ), Yu Xiang-Zhi( ), and Wu Chong-Qing( ) Key Laboratory of Luminescence and Optical Information of the Ministry

More information

Workshop on Coherent Phenomena in Disordered Optical Systems May 2014

Workshop on Coherent Phenomena in Disordered Optical Systems May 2014 2583-12 Workshop on Coherent Phenomena in Disordered Optical Systems 26-30 May 2014 Nonlinear Excitations of Bose-Einstein Condensates with Higherorder Interaction Etienne WAMBA University of Yaounde and

More information

Vector diffraction theory of refraction of light by a spherical surface

Vector diffraction theory of refraction of light by a spherical surface S. Guha and G. D. Gillen Vol. 4, No. 1/January 007/J. Opt. Soc. Am. B 1 Vector diffraction theory of refraction of light by a spherical surface Shekhar Guha and Glen D. Gillen* Materials and Manufacturing

More information

Study of Laser Plasma Interactions Using an Eulerian Vlasov Code

Study of Laser Plasma Interactions Using an Eulerian Vlasov Code PSFC/JA-04-6 Study of Laser Plasma Interactions Using an Eulerian Vlasov Code D. J. Strozzi, M. M. Shoucri*, and A. Bers March 2004 Plasma Science and Fusion Center Massachusetts Institute of Technology

More information

Dynamics of solitons of the generalized (3+1)-dimensional nonlinear Schrödinger equation with distributed coefficients

Dynamics of solitons of the generalized (3+1)-dimensional nonlinear Schrödinger equation with distributed coefficients Dynamics of solitons of the generalized (3+1-dimensional nonlinear Schrödinger equation with distributed coefficients Liu Xiao-Bei( and Li Biao( Nonlinear Science Center and Department of Mathematics,

More information

MCQs of Plasma Physics. by Prof. V.K. Tripathi, IIT Delhi, New Delhi. Lecture 1

MCQs of Plasma Physics. by Prof. V.K. Tripathi, IIT Delhi, New Delhi. Lecture 1 MCQs of Plasma Physics by Prof. V.K. Tripathi, IIT Delhi, New Delhi. Lecture 1 Problem 1: Consider a singly ionized sphere of electron density n o, radius R and electron temperature T. Due to thermal motions

More information

Spectral analysis of K-shell X-ray emission of magnesium plasma produced by ultrashort high-intensity laser pulse irradiation

Spectral analysis of K-shell X-ray emission of magnesium plasma produced by ultrashort high-intensity laser pulse irradiation PRAMANA c Indian Academy of Sciences Vol. 82, No. 2 journal of February 2014 physics pp. 365 371 Spectral analysis of K-shell X-ray emission of magnesium plasma produced by ultrashort high-intensity laser

More information

Magnetically Induced Transparency and Its Application as an Accelerator

Magnetically Induced Transparency and Its Application as an Accelerator Magnetically Induced Transparency and Its Application as an Accelerator M.S. Hur, J.S. Wurtele and G. Shvets University of California Berkeley University of California Berkeley and Lawrence Berkeley National

More information

The near-infrared spectra and distribution of excited states of electrodeless discharge rubidium vapour lamps

The near-infrared spectra and distribution of excited states of electrodeless discharge rubidium vapour lamps The near-infrared spectra and distribution of excited states of electrodeless discharge rubidium vapour lamps Sun Qin-Qing( ) a)b), Miao Xin-Yu( ) a), Sheng Rong-Wu( ) c), and Chen Jing-Biao( ) a)b) a)

More information

Gaussian beam diffraction in inhomogeneous media of cylindrical symmetry

Gaussian beam diffraction in inhomogeneous media of cylindrical symmetry Optica Applicata, Vol. XL, No. 3, 00 Gaussian beam diffraction in inhomogeneous media of cylindrical symmetry PAWEŁ BERCZYŃSKI, YURI A. KRAVTSOV, 3, GRZEGORZ ŻEGLIŃSKI 4 Institute of Physics, West Pomeranian

More information

External Injection in Plasma Accelerators. R. Pompili, S. Li, F. Massimo, L. Volta, J. Yang

External Injection in Plasma Accelerators. R. Pompili, S. Li, F. Massimo, L. Volta, J. Yang External Injection in Plasma Accelerators R. Pompili, S. Li, F. Massimo, L. Volta, J. Yang Why Plasma Accelerators? Conventional RF cavities: 50-100 MV/m due to electrical breakdown Plasma: E>100 GV/m

More information

Soliton propagation in an inhomogeneous plasma at critical density of negative ions: Effects of gyratory and thermal motions of ions

Soliton propagation in an inhomogeneous plasma at critical density of negative ions: Effects of gyratory and thermal motions of ions PHYSICS OF PLASMAS 14, 102110 2007 Soliton propagation in an inhomogeneous plasma at critical density of negative ions: Effects of gyratory and thermal motions of ions Hitendra K. Malik and Shigeo Kawata

More information

Fundamentals of fiber waveguide modes

Fundamentals of fiber waveguide modes SMR 189 - Winter College on Fibre Optics, Fibre Lasers and Sensors 1-3 February 007 Fundamentals of fiber waveguide modes (second part) K. Thyagarajan Physics Department IIT Delhi New Delhi, India Fundamentals

More information

POSITRON ACCUMULATOR SCHEME for AEGIS

POSITRON ACCUMULATOR SCHEME for AEGIS POSITRON ACCUMULATOR SCHEME for AEGIS A. S. Belov, S. N. Gninenko INR RAS, Moscow 1 What positron beam is requiered for AEGIS? Number of antihydrogen atoms produced with AEGIS scheme: N Hbar ~ ce n H-

More information

Dissipation of a two-mode squeezed vacuum state in the single-mode amplitude damping channel

Dissipation of a two-mode squeezed vacuum state in the single-mode amplitude damping channel Dissipation of a two-mode squeezed vacuum state in the single-mode amplitude damping channel Zhou Nan-Run( ) a), Hu Li-Yun( ) b), and Fan Hong-Yi( ) c) a) Department of Electronic Information Engineering,

More information

Surface Plasmon Polaritons on Structured Surfaces. Alexei A. Maradudin and Tamara A. Leskova

Surface Plasmon Polaritons on Structured Surfaces. Alexei A. Maradudin and Tamara A. Leskova Surface Plasmon Polaritons on Structured Surfaces Alexei A. Maradudin and Tamara A. Leskova Department of Physics and Astronomy and Institute for Surface and Interface Science, University of California,

More information

Lecture 3 Fiber Optical Communication Lecture 3, Slide 1

Lecture 3 Fiber Optical Communication Lecture 3, Slide 1 Lecture 3 Optical fibers as waveguides Maxwell s equations The wave equation Fiber modes Phase velocity, group velocity Dispersion Fiber Optical Communication Lecture 3, Slide 1 Maxwell s equations in

More information

Dust acoustic solitary and shock waves in strongly coupled dusty plasmas with nonthermal ions

Dust acoustic solitary and shock waves in strongly coupled dusty plasmas with nonthermal ions PRAMANA c Indian Academy of Sciences Vol. 73, No. 5 journal of November 2009 physics pp. 913 926 Dust acoustic solitary and shock waves in strongly coupled dusty plasmas with nonthermal ions HAMID REZA

More information

Progress In Electromagnetics Research Letters, Vol. 33, 27 35, 2012

Progress In Electromagnetics Research Letters, Vol. 33, 27 35, 2012 Progress In Electromagnetics Research Letters, Vol. 33, 27 35, 2012 TUNABLE WAVELENGTH DEMULTIPLEXER FOR DWDM APPLICATION USING 1-D PHOTONIC CRYSTAL A. Kumar 1, B. Suthar 2, *, V. Kumar 3, Kh. S. Singh

More information