Supporting Information
|
|
- Jocelyn Cassandra Scott
- 5 years ago
- Views:
Transcription
1 This journal is The Owner Soieties 014 Supporting Information Extintion and Extra-High Depolarized Light Sattering Spetra of Gold Nanorods with Improved Purity: Diret and Inverse Problems Boris N. Khlebtsov, a,b Vitaly A. Khanadeev, a,b and Nikolai G. Khlebtsov a,b,* 1 Institute of Biohemistry and Physiology of Plants and Miroorganisms, Russian Aademy of Sienes, 13 Prospekt Entuziastov, Saratov , Russia Saratov State University, 83 Ulitsa Astrakhanskaya, Saratov 41006, Russia * Corresponding author: khlebtsov@ibppm.sgu.ru S1. Depolarization setup alibration Figure S1. Depolarization spetra of 137-, 140-, and 10-nm polystyrene latexes and of 114- and 160-nm silia nanospheres. 1 Beause of the small depolarization sattering from partiles, the erage ourse of the measured spetra gives an estimate of the instrumental error as a funtion of the welength
2 This journal is The Owner Soieties 014 Figure S. Osillating onvergene of the extended-preision T-matrix odes with an inrease in the T-matrix order. Calulations for randomly oriented GNRs with an erage length of 8.4 nm, an erage aspet ratio of 5.7 (log-normal distributions, σ r = 1.16 ), and hemispherial end-aps ( χ = 1). The perentage and radius of the impurity partiles are % and 16 nm, respetively. Extintions at 550 and 900 nm are normalized to the gold massvolume onentration g = 57 µg/ml, orresponding to the redution of 0.01% HAuCl 4. Figure S3. Extintion spetra of as-prepared GNR--0 rods (blue) and GNR- rods one week after preparation (green, TEM sample), as well as TEM-based T-matrix alulations (red). The FWHMs of GNR--0, GNR-, and the alulated spetra are 10, 140, and 156 nm, respetively. - -
3 This journal is The Owner Soieties 014 Figure S4. Overview images of GNR-1 nanorods with perentages of impurity partiles of 6.5 (a), 4.8 (b), (),.6 (d), 1.7 (e), and 1% (f). Eah image represents about partiles
4 This journal is The Owner Soieties 014 Figure S5. (a) Experimental (irles) and alulated (red and green) extintion spetra of Gem1-NRs. The T-matrix alulations are based on the erage geometrial TEM parameters of the rods: r = 3.6 ± 0.4, L = 43 ± 8 nm, and d = 1 ± nm. The hemispherial end-ap shape of Gem1-NRs with χ = 1 gives a slightly blue-shifted spetrum (the dashed green line, λ = 770 nm), whereas the end-ap parameter χ = 0.5 gives muh better agreement max between the alulated (red line) and the measured peak position ( λ max = 795 nm). The FWHMs for the measured and alulated spetra are 100 and 13 nm, respetively. (b) T- matrix alulations for Gem1-NRs-I and Gem1-NRs-II with the following TEM parameters: (I) r = 3.1± 0.4, L = 34 ± 7 nm, d = 10 ± nm (red) and (II) r = 4.1± 0.6, L = 4 ± 7 nm, d = 10 ± nm (blue). The hemispherial end-ap shape of Gem1-NRs with χ = 1 was used for the type II rods ( λ max = 840 nm), whereas the best-fitting χ = 0.5 was used for the type I rods to give λ max = 748 nm. Note that the alulated FWHMs (13 and 17 nm) for Gem1-NRs-I and Gem1-NRs-II are greater than the experimental ones (100 and 16 nm, respetively). For alulations, log-normal distributions for the aspet ratio and length of the rods were used with the orresponding standard deviations. The impurity partile fration was assumed to be as small as in the ase of GNR-1 rods. S6. Light sattering by small anisotropi partiles with random orientations In the general ase, the intensity of sattered light with a polarization vetor e s an be represented as the sum of three independent omponents orresponding to salar, symmetri, and antisymmetri ontributions, 3-4 -
5 This journal is The Owner Soieties 014 (0) ( s) ( a) * 1 * 1 ( a) I = I + I + I = G0 ee s 0 + Gs 1 s 0 s 0 I 0 1 s ee ee + 3 ee, (S1) 6 where e 0 defines the inident light polarization and G 0, G s, and G a are given by the expressions in Eq. (4). In the ase of a linearly polarized we, the polarization vetor e 0 is real and the sattered light is partially depolarized and an be deomposed into two inoherent omponents, one ( I ) polarized in the plane ( e, k ) and the other ( I ) polarized perpendiularly to the plane ( e, k ). In terms of the a and b onstants [see Eq. (4)], we he 3 o s = ee + I I0 a( 0 s ) b, I o o s = Ib. (S) For our sattering geometry, ( ee 0 s ) = 1 and = I / I = b/( a+ b), whih oinides with Eq. (3) at θ=90. In our previous paper 1, we derived the following expression for axially symmetri partiles: χ, α1 α = χ = 5 χ α + α 1. (S3) At first glane, Eq. (S3) looks somewhat different from the first expression in Eq. (10) of the main text: 3 = α + α 4+ 5 α α 1 1. (S4) To show the equivaleny of both expressions, we note that * * ( α α + α α ) = α + α α α (S5) and α + α = 3( α + α ) α α (S6) After substitution of these expressions into (S4), we he α1 α = = ( ) ( ) 4 5 α1 α + 3 α1 + α α1 α = = 5 α1 + α α1 α α α χ. 5 χ (S7) - 5 -
6 This journal is The Owner Soieties 014 This proves the equivalene of both expressions in Eq. (10). Referenes 1 B. N. Khlebtsov, V. A. Khanadeev, and N. G. Khlebtsov. Observation of extra-high depolarized light sattering spetra from gold nanorods. J. Phys. Chem. C, 008, 11, A. Guerrero-Martínez, J. Pérez-Juste, E. Carbó-Argibay, G. Tardajos, and L. M. Liz- Marzán. Gemini-surfatant-direted self-assembly of monodisperse gold nanorods into standing superlatties. Angew. Chem. Int. Ed., 009, 48, L. D. Landau, E. M. Lifshitz. Eletrodynamis of Continuous Media, Seond ed., Amsterdam: Elsevier Butterworth-Heinemann,
22.54 Neutron Interactions and Applications (Spring 2004) Chapter 6 (2/24/04) Energy Transfer Kernel F(E E')
22.54 Neutron Interations and Appliations (Spring 2004) Chapter 6 (2/24/04) Energy Transfer Kernel F(E E') Referenes -- J. R. Lamarsh, Introdution to Nulear Reator Theory (Addison-Wesley, Reading, 1966),
More informationELECTROMAGNETIC WAVES WITH NONLINEAR DISPERSION LAW. P. М. Меdnis
ELECTROMAGNETIC WAVES WITH NONLINEAR DISPERSION LAW P. М. Меdnis Novosibirs State Pedagogial University, Chair of the General and Theoretial Physis, Russia, 636, Novosibirs,Viljujsy, 8 e-mail: pmednis@inbox.ru
More informationDetermination of size and concentration of gold and silica nanoparticles from absorption and turbidity spectra. Nikolai Khlebtsov
Determination of size and concentration of gold and silica nanoparticles from absorption and turbidity spectra Nikolai Khlebtsov Institute of Biochemistry and Physiology of Plants and Microorganisms (IBPPM),
More informationElectromagnetic radiation of the travelling spin wave propagating in an antiferromagnetic plate. Exact solution.
arxiv:physis/99536v1 [physis.lass-ph] 15 May 1999 Eletromagneti radiation of the travelling spin wave propagating in an antiferromagneti plate. Exat solution. A.A.Zhmudsky November 19, 16 Abstrat The exat
More informationChapter 9. The excitation process
Chapter 9 The exitation proess qualitative explanation of the formation of negative ion states Ne and He in He-Ne ollisions an be given by using a state orrelation diagram. state orrelation diagram is
More informationproperties via a simple hydrolysis-based approach
Eletroni Supplementary Material (ESI) for Journal of Materials Chemistry A This journal is The Royal Soiety of Chemistry 01 Supporting Information Salable synthesis of hollow O nanoubes with unique optial
More informationCalculation of Desorption Parameters for Mg/Si(111) System
e-journal of Surfae Siene and Nanotehnology 29 August 2009 e-j. Surf. Si. Nanoteh. Vol. 7 (2009) 816-820 Conferene - JSSS-8 - Calulation of Desorption Parameters for Mg/Si(111) System S. A. Dotsenko, N.
More informationBerry s phase for coherent states of Landau levels
Berry s phase for oherent states of Landau levels Wen-Long Yang 1 and Jing-Ling Chen 1, 1 Theoretial Physis Division, Chern Institute of Mathematis, Nankai University, Tianjin 300071, P.R.China Adiabati
More informationSURFACE WAVES OF NON-RAYLEIGH TYPE
SURFACE WAVES OF NON-RAYLEIGH TYPE by SERGEY V. KUZNETSOV Institute for Problems in Mehanis Prosp. Vernadskogo, 0, Mosow, 75 Russia e-mail: sv@kuznetsov.msk.ru Abstrat. Existene of surfae waves of non-rayleigh
More information8.333: Statistical Mechanics I Problem Set # 4 Due: 11/13/13 Non-interacting particles
8.333: Statistial Mehanis I Problem Set # 4 Due: 11/13/13 Non-interating partiles 1. Rotating gas: Consider a gas of N idential atoms onfined to a spherial harmoni trap in three dimensions, i.e. the partiles
More informationTheory of Dynamic Gravitational. Electromagnetism
Adv. Studies Theor. Phys., Vol. 6, 0, no. 7, 339-354 Theory of Dynami Gravitational Eletromagnetism Shubhen Biswas G.P.S.H.Shool, P.O.Alaipur, Pin.-7445(W.B), India shubhen3@gmail.om Abstrat The hange
More informationQ2. [40 points] Bishop-Hill Model: Calculation of Taylor Factors for Multiple Slip
27-750, A.D. Rollett Due: 20 th Ot., 2011. Homework 5, Volume Frations, Single and Multiple Slip Crystal Plastiity Note the 2 extra redit questions (at the end). Q1. [40 points] Single Slip: Calulating
More informationPhysics 218, Spring February 2004
Physis 8 Spring 004 8 February 004 Today in Physis 8: dispersion Motion of bound eletrons in matter and the frequeny dependene of the dieletri onstant Dispersion relations Ordinary and anomalous dispersion
More informationThe Lorenz Transform
The Lorenz Transform Flameno Chuk Keyser Part I The Einstein/Bergmann deriation of the Lorentz Transform I follow the deriation of the Lorentz Transform, following Peter S Bergmann in Introdution to the
More informationECE-320 Linear Control Systems. Winter 2013, Exam 1. No calculators or computers allowed, you may leave your answers as fractions.
ECE-320 Linear Control Systems Winter 2013, Exam 1 No alulators or omputers allowed, you may leave your answers as frations. All problems are worth 3 points unless noted otherwise. Total /100 1 Problems
More informationModeling of Threading Dislocation Density Reduction in Heteroepitaxial Layers
A. E. Romanov et al.: Threading Disloation Density Redution in Layers (II) 33 phys. stat. sol. (b) 99, 33 (997) Subjet lassifiation: 6.72.C; 68.55.Ln; S5.; S5.2; S7.; S7.2 Modeling of Threading Disloation
More informationELECTRODYNAMICS: PHYS 30441
. Relativisti Eletromagnetism. Eletromagneti Field Tensor How do E and B fields transform under a LT? They annot be 4-vetors, but what are they? We again re-write the fields in terms of the salar and vetor
More informationSupplementary Information. Infrared Transparent Visible Opaque Fabrics (ITVOF) for Personal Cooling
Supplementary Information Infrared Transparent Visible Opaque Fabris (ITVOF) for Personal Cooling Jonathan K. Tong 1,Ɨ, Xiaopeng Huang 1,Ɨ, Svetlana V. Boriskina 1, James Loomis 1, Yanfei Xu 1, and Gang
More informationWavetech, LLC. Ultrafast Pulses and GVD. John O Hara Created: Dec. 6, 2013
Ultrafast Pulses and GVD John O Hara Created: De. 6, 3 Introdution This doument overs the basi onepts of group veloity dispersion (GVD) and ultrafast pulse propagation in an optial fiber. Neessarily, it
More informationTutorial 8: Solutions
Tutorial 8: Solutions 1. * (a) Light from the Sun arrives at the Earth, an average of 1.5 10 11 m away, at the rate 1.4 10 3 Watts/m of area perpendiular to the diretion of the light. Assume that sunlight
More informationMaximum Entropy and Exponential Families
Maximum Entropy and Exponential Families April 9, 209 Abstrat The goal of this note is to derive the exponential form of probability distribution from more basi onsiderations, in partiular Entropy. It
More informationBEC-BCS cross-over in the exciton gas
BEC-BCS ross-over in the exiton gas Monique Combesot Institut des NanoSienes de Paris, CNRS Université Pierre et Marie Curie Evora ot. 2012 1 1)Dilute limit: BEC ondensate of linearly polarized dark exitons
More informationF = F x x + F y. y + F z
ECTION 6: etor Calulus MATH20411 You met vetors in the first year. etor alulus is essentially alulus on vetors. We will need to differentiate vetors and perform integrals involving vetors. In partiular,
More informationMath 220A - Fall 2002 Homework 8 Solutions
Math A - Fall Homework 8 Solutions 1. Consider u tt u = x R 3, t > u(x, ) = φ(x) u t (x, ) = ψ(x). Suppose φ, ψ are supported in the annular region a < x < b. (a) Find the time T 1 > suh that u(x, t) is
More informationRADIATION ANALYSIS OF A SPENT-FUEL STORAGE CASK
RADIATION ANALYSIS OF A SPENT-FUEL STORAGE CASK by J.K. Shultis Department of Mehanial and Nulear Engineering Kansas State University Manhatta, Kansas 55606 published as Report 290 ENGINEERING EXPERIMENT
More informationPhys 561 Classical Electrodynamics. Midterm
Phys 56 Classial Eletrodynamis Midterm Taner Akgün Department of Astronomy and Spae Sienes Cornell University Otober 3, Problem An eletri dipole of dipole moment p, fixed in diretion, is loated at a position
More informationAdvanced Computational Fluid Dynamics AA215A Lecture 4
Advaned Computational Fluid Dynamis AA5A Leture 4 Antony Jameson Winter Quarter,, Stanford, CA Abstrat Leture 4 overs analysis of the equations of gas dynamis Contents Analysis of the equations of gas
More informationThe Concept of Mass as Interfering Photons, and the Originating Mechanism of Gravitation D.T. Froedge
The Conept of Mass as Interfering Photons, and the Originating Mehanism of Gravitation D.T. Froedge V04 Formerly Auburn University Phys-dtfroedge@glasgow-ky.om Abstrat For most purposes in physis the onept
More informationNon-Markovian study of the relativistic magnetic-dipole spontaneous emission process of hydrogen-like atoms
NSTTUTE OF PHYSCS PUBLSHNG JOURNAL OF PHYSCS B: ATOMC, MOLECULAR AND OPTCAL PHYSCS J. Phys. B: At. Mol. Opt. Phys. 39 ) 7 85 doi:.88/953-75/39/8/ Non-Markovian study of the relativisti magneti-dipole spontaneous
More informationGreen s function for the wave equation
Green s funtion for the wave equation Non-relativisti ase January 2019 1 The wave equations In the Lorentz Gauge, the wave equations for the potentials are (Notes 1 eqns 43 and 44): 1 2 A 2 2 2 A = µ 0
More informationmax min z i i=1 x j k s.t. j=1 x j j:i T j
AM 221: Advaned Optimization Spring 2016 Prof. Yaron Singer Leture 22 April 18th 1 Overview In this leture, we will study the pipage rounding tehnique whih is a deterministi rounding proedure that an be
More informationSupporting Information for
Eletroni Supplementary Material (ESI) for Nanosale This journal is The Royal Soiety of Chemistry 013 Supporting Information for Exitation polarization modulation in loalization mirosopy allows to resolve
More informationMAC Calculus II Summer All you need to know on partial fractions and more
MC -75-Calulus II Summer 00 ll you need to know on partial frations and more What are partial frations? following forms:.... where, α are onstants. Partial frations are frations of one of the + α, ( +
More informationELECTROMAGNETIC NORMAL MODES AND DISPERSION FORCES.
ELECTROMAGNETIC NORMAL MODES AND DISPERSION FORCES. All systems with interation of some type have normal modes. One may desribe them as solutions in absene of soures; they are exitations of the system
More informationFour-dimensional equation of motion for viscous compressible substance with regard to the acceleration field, pressure field and dissipation field
Four-dimensional equation of motion for visous ompressible substane with regard to the aeleration field, pressure field and dissipation field Sergey G. Fedosin PO box 6488, Sviazeva str. -79, Perm, Russia
More informationRelativistic effects in earth-orbiting Doppler lidar return signals
3530 J. Opt. So. Am. A/ Vol. 4, No. 11/ November 007 Neil Ashby Relativisti effets in earth-orbiting Doppler lidar return signals Neil Ashby 1,, * 1 Department of Physis, University of Colorado, Boulder,
More informationLecture 15 (Nov. 1, 2017)
Leture 5 8.3 Quantum Theor I, Fall 07 74 Leture 5 (Nov., 07 5. Charged Partile in a Uniform Magneti Field Last time, we disussed the quantum mehanis of a harged partile moving in a uniform magneti field
More informationA Combination of BIM and BEM for efficiently analyzing optical. elements
A Combination of BIM and BEM for effiiently analyzing optial elements SUN Fang, LIU Juan, ZHANG Guo-ting, HU Chuan-fei, SU Xiaoxing Institute of Lightwave Tehnology, hool of eletronis and information engineering,
More informationClassical Trajectories in Rindler Space and Restricted Structure of Phase Space with PT-Symmetric Hamiltonian. Abstract
Classial Trajetories in Rindler Spae and Restrited Struture of Phase Spae with PT-Symmetri Hamiltonian Soma Mitra 1 and Somenath Chakrabarty 2 Department of Physis, Visva-Bharati, Santiniketan 731 235,
More informationHankel Optimal Model Order Reduction 1
Massahusetts Institute of Tehnology Department of Eletrial Engineering and Computer Siene 6.245: MULTIVARIABLE CONTROL SYSTEMS by A. Megretski Hankel Optimal Model Order Redution 1 This leture overs both
More informationPhysicsAndMathsTutor.com 1
PhysisAndMathsTutor.om. (a (i beam splitter [or semi-silvered mirror] (ii a ompensator [or a glass blok] allows for the thikness of the (semi-silvered mirror to obtain equal optial path lengths in the
More informationVelocity Addition in Space/Time David Barwacz 4/23/
Veloity Addition in Spae/Time 003 David arwaz 4/3/003 daveb@triton.net http://members.triton.net/daveb Abstrat Using the spae/time geometry developed in the previous paper ( Non-orthogonal Spae- Time geometry,
More informationGreen s function for the wave equation
Green s funtion for the wave equation Non relativisti ase 1 The wave equations In the Lorentz Gauge, the wave equations for the potentials in Lorentz Gauge Gaussian units are: r 2 A 1 2 A 2 t = 4π 2 j
More informationThe Second Postulate of Euclid and the Hyperbolic Geometry
1 The Seond Postulate of Eulid and the Hyperboli Geometry Yuriy N. Zayko Department of Applied Informatis, Faulty of Publi Administration, Russian Presidential Aademy of National Eonomy and Publi Administration,
More informationThe Determination of Surface Albedo of Thailand Using Satellite Data
The Determination of Surfae Albedo of Thailand Using Satellite Data Serm Janjai 1,*, Wathara Wanvong 2 and Jarungsaeng Laksanaboonsong 1 1 Laboratory of Tropial Atmospheri Physis, Department of Physis,
More information9 Geophysics and Radio-Astronomy: VLBI VeryLongBaseInterferometry
9 Geophysis and Radio-Astronomy: VLBI VeryLongBaseInterferometry VLBI is an interferometry tehnique used in radio astronomy, in whih two or more signals, oming from the same astronomial objet, are reeived
More informationAtomic and Nuclear Physics
Atomi and Nulear Physis X-ray physis Compton effet and X-ray physis LD Physis Leaflets P6.3.7. Compton effet: Measuring the energy of the sattered photons as a funtion of the sattering angle Objets of
More informationComparison of Alternative Equivalent Circuits of Induction Motor with Real Machine Data
Comparison of Alternative Equivalent Ciruits of Indution Motor with Real Mahine Data J. radna, J. auer, S. Fligl and V. Hlinovsky Abstrat The algorithms based on separated ontrol of the motor flux and
More informationAtomic and Nuclear Physics
Atomi and Nulear Physis X-ray physis Compton effet and X-ray physis LD Physis Leaflets P6.3.7. Compton effet: Measuring the energy of the sattered photons as a funtion of the sattering angle Objets of
More informationRemarks Around Lorentz Transformation
Remarks Around Lorentz Transformation Arm Boris Nima arm.boris@gmail.om Abstrat After diagonalizing the Lorentz Matrix, we find the frame where the Dira equation is one derivation and we alulate the speed
More informationEffect of Different Types of Promoters on Bed Expansion in a Gas-Solid Fluidized Bed with Varying Distributor Open Areas
Journal of Chemial Engineering of Japan, Vol. 35, No. 7, pp. 681 686, 2002 Short Communiation Effet of Different Types of Promoters on Bed Expansion in a Gas-Solid Fluidized Bed with Varying Distributor
More informationFig Review of Granta-gravel
0 Conlusion 0. Sope We have introdued the new ritial state onept among older onepts of lassial soil mehanis, but it would be wrong to leave any impression at the end of this book that the new onept merely
More informationH=250 Oe. Supplementary Figure 1 Magnetic domains: Room temperature 4 x 4 µm 2 MFM phase
1 Supplementary Information Supplementary Figures (b) () 1.6± 1 µm 1 µm 1 µm H290 Oe (d) (e) (f) H410 Oe -1.5± 1 µm 1 µm H250 Oe 1 µm H590 Oe Supplementary Figure 1 Magneti domains: Room temperature 4
More informationthe following action R of T on T n+1 : for each θ T, R θ : T n+1 T n+1 is defined by stated, we assume that all the curves in this paper are defined
How should a snake turn on ie: A ase study of the asymptoti isoholonomi problem Jianghai Hu, Slobodan N. Simić, and Shankar Sastry Department of Eletrial Engineering and Computer Sienes University of California
More informationBäcklund Transformations: Some Old and New Perspectives
Bäklund Transformations: Some Old and New Perspetives C. J. Papahristou *, A. N. Magoulas ** * Department of Physial Sienes, Helleni Naval Aademy, Piraeus 18539, Greee E-mail: papahristou@snd.edu.gr **
More informationRESEARCH ON RANDOM FOURIER WAVE-NUMBER SPECTRUM OF FLUCTUATING WIND SPEED
The Seventh Asia-Paifi Conferene on Wind Engineering, November 8-1, 9, Taipei, Taiwan RESEARCH ON RANDOM FORIER WAVE-NMBER SPECTRM OF FLCTATING WIND SPEED Qi Yan 1, Jie Li 1 Ph D. andidate, Department
More informationUniaxial Concrete Material Behavior
COMPUTERS AND STRUCTURES, INC., JULY 215 TECHNICAL NOTE MODIFIED DARWIN-PECKNOLD 2-D REINFORCED CONCRETE MATERIAL MODEL Overview This tehnial note desribes the Modified Darwin-Peknold reinfored onrete
More informationHomework Set 4. gas B open end
Homework Set 4 (1). A steady-state Arnold ell is used to determine the diffusivity of toluene (speies A) in air (speies B) at 298 K and 1 atm. If the diffusivity is DAB = 0.0844 m 2 /s = 8.44 x 10-6 m
More informationFor a classical composite material, the modulus change should follow the rule of mixtures:
Eletroni Supplementary Material (ESI for Journal of Materials Chemistry C. This journal is The Royal Soiety of Chemistry 2017 Eletroni Supplementary Information (ESI Super ompatible funtional BN nanosheets/polymer
More informationRADIATION POWER SPECTRAL DISTRIBUTION OF CHARGED PARTICLES MOVING IN A SPIRAL IN MAGNETIC FIELDS
Journal of Optoeletronis and Advaned Materials Vol. 5, o. 5,, p. 4-4 RADIATIO POWER SPECTRAL DISTRIBUTIO OF CHARGED PARTICLES MOVIG I A SPIRAL I MAGETIC FIELDS A. V. Konstantinovih *, S. V. Melnyhuk, I.
More informationModeling superlattice patterns using the interference of sharp focused spherical waves
Modeling superlattie patterns using the interferene of sharp foused spherial waves Fidirko N.S. Samara State Aerospae University Abstrat. In this paper, modelling of pseudonondiffrational beams forming
More informationELECTROMAGNETIC WAVES
ELECTROMAGNETIC WAVES Now we will study eletromagneti waves in vauum or inside a medium, a dieletri. (A metalli system an also be represented as a dieletri but is more ompliated due to damping or attenuation
More informationGUIDED WAVE ENERGY DISTRIBUTION ANALYSIS IN INHOMOGENEOUS PLATES
GUDED WAVE ENERGY DSTRBUTON ANALYSS N NHOMOGENEOUS PLATES Krishnan Balasubramaniam and Yuyin Ji Department of Aerospae Engineering and Mehanis Mississippi State University, Mississippi State, MS 39762
More informationELECTROMAGNETIC WAVES
LCTROMAGNTIC WAVS 3 3 IDNTIFY: Sine the speed is onstant, distane x = t ST U: The speed of light is = 3 yr = 356 s x 34 m XCUT: (a) t = = = s 3 6 3 (b) x= t = (3 )(6 yr)(356 s/yr) = 5 m = 5 km VALUAT:
More informationarxiv:gr-qc/ v2 6 Feb 2004
Hubble Red Shift and the Anomalous Aeleration of Pioneer 0 and arxiv:gr-q/0402024v2 6 Feb 2004 Kostadin Trenčevski Faulty of Natural Sienes and Mathematis, P.O.Box 62, 000 Skopje, Maedonia Abstrat It this
More informationPCCP Accepted Manuscript
PCCP Accepted Manuscript This is an Accepted Manuscript, which has been through the Royal ociety of Chemistry peer review process and has been accepted for publication. Accepted Manuscripts are published
More informationSpectroscopic Signatures of Novel Oxygen-Defect Complexes in Stoichiometrically Controlled CdSe
Physis Physis Researh Publiations Purdue University Year 008 Spetrosopi Signatures of Novel Oxygen-Defet Complexes in Stoihiometrially Controlled CdSe G. Chen J. S. Bhosale I. Miotkowski A. K. Ramdas This
More informationRIEMANN S FIRST PROOF OF THE ANALYTIC CONTINUATION OF ζ(s) AND L(s, χ)
RIEMANN S FIRST PROOF OF THE ANALYTIC CONTINUATION OF ζ(s AND L(s, χ FELIX RUBIN SEMINAR ON MODULAR FORMS, WINTER TERM 6 Abstrat. In this hapter, we will see a proof of the analyti ontinuation of the Riemann
More informationCombined Electric and Magnetic Dipoles for Mesoband Radiation, Part 2
Sensor and Simulation Notes Note 53 3 May 8 Combined Eletri and Magneti Dipoles for Mesoband Radiation, Part Carl E. Baum University of New Mexio Department of Eletrial and Computer Engineering Albuquerque
More informationDirectional Coupler. 4-port Network
Diretional Coupler 4-port Network 3 4 A diretional oupler is a 4-port network exhibiting: All ports mathed on the referene load (i.e. S =S =S 33 =S 44 =0) Two pair of ports unoupled (i.e. the orresponding
More informationA numerical Study on the Acoustic Characteristics of a Centrifugal Impeller with a Splitter
GESTS Int l Trans. Computer Siene and Engr., Vol.2, No.1 17 A numerial Study on the Aousti Charateristis of a Centrifugal Impeller with a Splitter Wan-Ho Jeon 1 1 Tehnial Researh Lab., CEDIC Ltd., #113,
More informationThe gravitational phenomena without the curved spacetime
The gravitational phenomena without the urved spaetime Mirosław J. Kubiak Abstrat: In this paper was presented a desription of the gravitational phenomena in the new medium, different than the urved spaetime,
More informationSimple Considerations on the Cosmological Redshift
Apeiron, Vol. 5, No. 3, July 8 35 Simple Considerations on the Cosmologial Redshift José Franiso Garía Juliá C/ Dr. Maro Mereniano, 65, 5. 465 Valenia (Spain) E-mail: jose.garia@dival.es Generally, the
More informationGravitomagnetic Effects in the Kerr-Newman Spacetime
Advaned Studies in Theoretial Physis Vol. 10, 2016, no. 2, 81-87 HIKARI Ltd, www.m-hikari.om http://dx.doi.org/10.12988/astp.2016.512114 Gravitomagneti Effets in the Kerr-Newman Spaetime A. Barros Centro
More informationThe concept of the general force vector field
The onept of the general fore vetor field Sergey G. Fedosin PO box 61488, Sviazeva str. 22-79, Perm, Russia E-mail: intelli@list.ru A hypothesis is suggested that the lassial eletromagneti and gravitational
More informationPhysica A. Calculation of free energy of a three-dimensional Ising-like system in an external field with the use of the ρ 6 model
Physia A 89 () 59 5 Contents lists available at SieneDiret Physia A journal homepage: www.elsevier.om/loate/physa Calulation of free energy of a three-dimensional Ising-lie system in an external field
More informationSupplementary Information
Y Axis Title Y Axis Title Y Axis Title Real part of the polarization oeffiient for quadrupole, Re[ f (2) ] CM Supplementary Information ) Appendix A: Real part of the polarization oeffiient (Re[ f ]) for
More informationRelativity in Classical Physics
Relativity in Classial Physis Main Points Introdution Galilean (Newtonian) Relativity Relativity & Eletromagnetism Mihelson-Morley Experiment Introdution The theory of relativity deals with the study of
More informationPhysics 6C. Special Relativity. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB
Physis 6C Speial Relatiity Two Main Ideas The Postulates of Speial Relatiity Light traels at the same speed in all inertial referene frames. Laws of physis yield idential results in all inertial referene
More informationIntroduction to Quantum Chemistry
Chem. 140B Dr. J.A. Mak Introdution to Quantum Chemistry Without Quantum Mehanis, how would you explain: Periodi trends in properties of the elements Struture of ompounds e.g. Tetrahedral arbon in ethane,
More informationBreakdown of the Slowly Varying Amplitude Approximation: Generation of Backward Traveling Second Harmonic Light
Claremont Colleges Sholarship @ Claremont All HMC Faulty Publiations and Researh HMC Faulty Sholarship 1-1-003 Breakdown of the Slowly Varying Amplitude Approximation: Generation of Bakward Traveling Seond
More informationLi + Solvation in Glyme-Li Salt Solvate Ionic Liquids
Eletroni Supplementary Material (ESI) for Physial Chemistry Chemial Physis. This journal is the Owner Soieties 15 Supplementary Information: + Solvation in Glyme- Salt Solvate Ioni quids Kazuhide Ueno,
More informationarxiv: v1 [hep-ph] 25 Oct 2015
Towards nature of the X(387) resonane * N.N. Ahasov 1;1) E.V. Rogozina 1 Laboratory of Theoretial Physis, Sobolev Institute for Mathematis, 639, Novosibirsk, Russian Federation Novosibirsk State University,
More informationComputer Engineering 4TL4: Digital Signal Processing (Fall 2003) Solutions to Final Exam
Computer Engineering TL: Digital Signal Proessing (Fall 3) Solutions to Final Exam The step response ynof a ausal, stable LTI system is: n [ ] = [ yn ] un, [ ] where un [ ] is the unit step funtion a Find
More informationAyan Kumar Bandyopadhyay
Charaterization of radiating apertures using Multiple Multipole Method And Modeling and Optimization of a Spiral Antenna for Ground Penetrating Radar Appliations Ayan Kumar Bandyopadhyay FET-IESK, Otto-von-Guerike-University,
More informationSQUARE ROOTS AND AND DIRECTIONS
SQUARE ROOS AND AND DIRECIONS We onstrut a lattie-like point set in the Eulidean plane that eluidates the relationship between the loal statistis of the frational parts of n and diretions in a shifted
More informationRadiation processes and mechanisms in astrophysics 3. R Subrahmanyan Notes on ATA lectures at UWA, Perth 22 May 2009
Radiation proesses and mehanisms in astrophysis R Subrahmanyan Notes on ATA letures at UWA, Perth May 009 Synhrotron radiation - 1 Synhrotron radiation emerges from eletrons moving with relativisti speeds
More informationWave Propagation through Random Media
Chapter 3. Wave Propagation through Random Media 3. Charateristis of Wave Behavior Sound propagation through random media is the entral part of this investigation. This hapter presents a frame of referene
More informationArmenian Theory of Special Relativity (Illustrated) Robert Nazaryan 1 and Haik Nazaryan 2
29606 Robert Nazaryan Haik Nazaryan/ Elixir Nulear & Radiation Phys. 78 (205) 29606-2967 Available online at www.elixirpublishers.om (Elixir International Journal) Nulear Radiation Physis Elixir Nulear
More informationES 247 Fracture Mechanics Zhigang Suo
ES 47 Frature Mehanis Zhigang Suo The Griffith Paper Readings. A.A. Griffith, The phenomena of rupture and flow in solids. Philosophial Transations of the Royal Soiety of London, Series A, Volume 1 (191)
More informationMathematics II. Tutorial 5 Basic mathematical modelling. Groups: B03 & B08. Ngo Quoc Anh Department of Mathematics National University of Singapore
Mathematis II Tutorial 5 Basi mathematial modelling Groups: B03 & B08 February 29, 2012 Mathematis II Ngo Quo Anh Ngo Quo Anh Department of Mathematis National University of Singapore 1/13 : The ost of
More information"Research Note" ANALYSIS AND OPTIMIZATION OF A FISSION CHAMBER DETECTOR USING MCNP4C AND SRIM MONTE CARLO CODES *
Iranian Journal of Siene & Tehnology, Transation A, Vol. 33, o. A3 Printed in the Islami Republi of Iran, 9 Shiraz University "Researh ote" AALYSIS AD OPTIMIZATIO OF A FISSIO CHAMBER DETECTOR USIG MCP4C
More informationz k sin(φ)(x ı + y j + z k)da = R 1 3 cos3 (φ) π 2π dθ = div(z k)dv = E curl(e x ı + e x j + e z k) d S = S
Mathematis 2443-6H Name (please print) Final xamination May 7, 28 Instrutions: Give brief, lear answers. Use theorems whenever possible. I. Verify the Divergene Theorem for the vetor field F(x,y,z) z k
More informationLECTURE 2 Geometrical Properties of Rod Cross Sections (Part 2) 1 Moments of Inertia Transformation with Parallel Transfer of Axes.
V. DEMENKO MECHNCS OF MTERLS 05 LECTURE Geometrial Properties of Rod Cross Setions (Part ) Moments of nertia Transformation with Parallel Transfer of xes. Parallel-xes Theorems S Given: a b = S = 0. z
More information19 Lecture 19: Cosmic Microwave Background Radiation
PHYS 652: Astrophysis 97 19 Leture 19: Cosmi Mirowave Bakground Radiation Observe the void its emptiness emits a pure light. Chuang-tzu The Big Piture: Today we are disussing the osmi mirowave bakground
More informationLECTURE 22. Electromagnetic. Spectrum 11/11/15. White Light: A Mixture of Colors (DEMO) White Light: A Mixture of Colors (DEMO)
LECTURE 22 Eletromagneti Spetrum 2 White Light: A Mixture of Colors (DEMO) White Light: A Mixture of Colors (DEMO) 1. Add together magenta, yan, and yellow. Play with intensities of eah to get white light.
More informationPHYSICS 104B, WINTER 2010 ASSIGNMENT FIVE SOLUTIONS N { N 2 + 1, N 2 + 2, N
PHYSICS 4B, WINTER 2 ASSIGNMENT FIVE SOLUTIONS [.] For uniform m =. and springs g = 2. the eigenvalues have the analyti form, The ode jaobi test yields λ k = 2g ( os k) m k = k n = 2πn N = 2π N { N 2 +,
More informationThe concept of the general force vector field
OALib Journal, Vol. 3, P. 1-15 (16). http://dx.doi.org/1.436/oalib.11459 The onept of the general fore vetor field Sergey G. Fedosin PO box 61488, Sviazeva str. -79, Perm, Russia E-mail: intelli@list.ru
More informationMeasurements of aerosol phase function and vertical backscattering coefficient using a charge-coupled device side-scatter lidar
Measurements of aerosol phase funtion and vertial baksattering oeffiient using a harge-oupled devie side-satter lidar Zongming Tao, 1,2 ong Liu, 2,* Zhenhu Wang, 2 Xiaomin Ma, 1 Qinge Zhang, 1 Chenbo Xie,
More informationCritical Reflections on the Hafele and Keating Experiment
Critial Refletions on the Hafele and Keating Experiment W.Nawrot In 1971 Hafele and Keating performed their famous experiment whih onfirmed the time dilation predited by SRT by use of marosopi loks. As
More information