Negative refraction of ultrasonic waves in 2D phononic crystals.
|
|
- Ashlyn Freeman
- 5 years ago
- Views:
Transcription
1 Negative refraction of ultrasonic waves in 2D phononic crystals. Alexey Sukhovich 1, John Page 1, Zhengyou Liu 2, Maria Kafesaki 3 1 University of Manitoba, Canada; 2 Wuhan University, China; 3 IESL-FORTH, Heraklion, Crete, Greece For more information on our research, go to
2 Left-Handed Materials (LHMs) and Negative Refraction Right-Handed materials: k and S are in same direction H S E k - normal refraction n = εµ > 0 Left-Handed materials: k and S are in opposite directions ε, µ > 0 [ k H ] = - ωε E ε, µ < 0 [ k E ] = ωµ H S = [ E H ] Veselago 1 predicted the unusual phenomenon of negative refraction in LHMs : k H S E - negative refraction n = εµ < 0 θ i ε 1, µ 1 > 0 θ i ε 1, µ 1 > 0 ε 2, µ 2 > 0 ε 2, µ 2 < 0 1 V. Veselago, Sov.Phys.Usp. 10, 509 (1968) θ r θ r Can we observe negative refraction of sound waves?
3 2D Phononic Crystals Our 2D phononic crystals: stainless steel rods of 1.02 mm in diameter assembled in 2D triangular crystal lattice with φ = 0.58 and immersed in water Rectangular-shaped 6-layer crystal : Prism-shaped : <10> <11> 60 <10> a 1 <11> a 2 30
4 Basic Properties : Transmission Coefficient TRANSMISSION EPERIMENT Rectangular Crystal: - measure the transmission coefficient of ultrasound waves through rectangular crystal incident along <11> direction - theoretical calculations by FDTD theory [M. Kafesaki] predict existence of a stop band along ΓΧ direction around 0.6 MHz - reasonably good agreement between theory and experiment TRANSMITTED INTENSIT Intensity transmission coefficient Experimental results: 6-LAYER STEEL ROD CRYSTAL 1E FREQUENCY (MHz) Intensity transmission coefficient Comparison with FDTD theory:
5 TRANSMISSION EPERIMENTS Rectangular Crystal: - by measuring phase difference between reference Γ and transmitted pulses, the dispersion relation can be found experimentally determined band-structure of the crystal - Multiple Scattering Theory (MST) [Liu et al. PRB 62, 2446 (2000)] theoretically predicted band-structure Theory and Experiment : GOOD AGREEMENT 10 OMEGA " (rads/µs) Basic Properties :Band Structure BAND STRUCTURE: MST CALCULATIONS! #! WAVE VECTOR k (1/mm) FREQUENCY (MHz) 10 OMEGA # (rads/µs) " Χ Μ EPERIMENT MST CALCULATIONS WAVE VECTOR k (1/mm)!
6 Band Structure and Negative Refraction in Phononic Crystals Region of interest 2 nd band FREQUENCY f (MHz) ! "! WAVE VECTOR k (1/mm) r v g k red v g - for waves along ΓΧ direction group and phase velocities are in opposite directions since r = "!(k) k MST also allows equifrequency contours be theoretically calculated k y a nd BAND MST EQUIFREQUENCY CONTOURS: 0.95 MHz 0.85 MHz 0.75 MHz f = 0.75 MHz f = 0.85 MHz f = 0.95 MHz k red!g " M - band structure leads to an effect which looks like negative refraction in LHMs k x a
7 Experimental Set-up - narrow Gaussian ultrasound pulse incident normally at the prism-shaped crystal along ΓΧ direction - hydrophone ( miniature ultrasound transducer element diameter < λ ) scans transmitted field in a plane perpendicular to the rods ( Y plane ) 2D image plot of wave field at the output side - digitally filter measured field with a narrow Gaussian bandwidth to obtain the wave field at different frequencies Y OUTPUT SIDE GENERATING TRANSDUCER INCIDENT WAVE 60 M INPUT SIDE Γ MOTORIZED STAGE Z HYDROPHONE 30
8 Experimental Set-up QUESTION : Will we see positive or negative refraction? GENERATING TRANSDUCER INCIDENT WAVE Negative 60 M INPUT SIDE Γ Positive 30
9 Experimental Results 1 Middle of the 2 nd band: f = 0.85 MHz NEGATIVE REFRACTION! As predicted when v g and k are antiparallel a.u.
10 Experimental Results 2 Lower frequency : f = 0.75 MHz NEGATIVE REFRACTION AND POSITIVE REFRACTION a.u.
11 Interpretation : INPUT side - normally incident wave enters crystal without change in its original direction - excites a Bloch wave inside the crystal with two dominant wave vectors: ETENDED zone scheme: k ext = k red + b 1 - parallel to v g (b 1 reciprocal wavevector) REDUCED zone scheme: k red - antiparallel to v g 7 RADIAL FREQUENCY # (mm/µs) " k red 1 st Brillouin zone! b 1 /2 k ext 2 nd Brillouin zone WAVE VECTOR FREQUENCY (MHz) v g k ext k wat k red v g Γ b 1 Both waves propagate in the same direction! M
12 Interpretation : OUTPUT Side - component of the incident wave vector k parallel to the interface is conserved ( Snell s law) - expect TWO types of refraction simultaneously: positive and negative M k wat Γ M k wat Γ k ext 60 k wat α k red 60 α k wat Snell s law: k crystal sin(60 ) = k wat sin(α)
13 Experimental Results f = 0.75 MHz f = 0.85 MHz α β α Theory and Experiment: Excellent Agreement k red = 2.09 mm -1 k ext = 3.62 mm -1 Negative refraction angle α : Predict: 35 Observed: 34 ± 1 Positive refraction angle β : Predict: 81.9 Observed: 81 ± 1 k red = 1.44 mm -1 k ext = 4.27 mm -1 Negative refraction angle α : Predict: 20.4 Observed: 21 ± 1 No Positively refracted beam observed Snell s law predicts total internal reflection
14 Reversed Experiment Angle of incidence 20 w.r.t. ΓΧ direction- same as the angle at which 0.85 MHz wave emerged in the direct experiment EPECT: 0.85 MHz wave should emerge normally in the reverse experiment Predict refraction angle for other frequencies using : Y Equifrequency Contours b 1 k ext v g Γ k red v g k wat M 60 α Γ 20 M Snell s law
15 Reversed Experiment : Results f = 0.85 MHz f = 0.75 MHz Wave emerges normally as expected α Expected : 18.6 Observed : 19 ± 1
16 Conclusions We have experimentally demonstrated NEGATIVE REFRACTION of ultrasound waves in a 2D phononic crystal. Because of the phononic crystal band structure, v g and k are antiparallel in the 2 nd band (reduced zone scheme). waves refract negatively. Both Negatively and Positively refracted waves are observed at some frequencies (the Bloch wave inside the crystal has two dominant wavevectors). MST and Snell s law allows the angles of refraction to be calculated theoretically Excellent agreement with the experiment! Circular equifrequency contours in the 2 nd band allow the possibility of observing focusing of sound by a flat 2D phononic crystal acoustic lens.
17 Focusing of Ultrasound by a Flat Phononic Crystal point source θ i v g v g θ r phononic crystal k ext k wat v g Γ M k red
18 Focusing of Ultrasound by a Flat Phononic Crystal Focusing at 0.75 MHz source Pinducer source (2.4-mm-diameter) Circular equifrequency contours in the 2 nd band FWHM of focal spot 1.5 λ Effective refractive index : n r, eff k crystal i = = = " k water FOCUS WIDTH sin! sin! r 0.66 λ
Negative-refraction imaging with two-dimensional phononic crystals
Negative-refraction imaging with two-dimensional phononic crystals Manzhu Ke, Zhengyou Liu,* Chunyin Qiu, Wengang Wang, and Jing Shi Department of Physics, Wuhan University, Wuhan 430072, People s Republic
More informationPhononic Crystals. J.H. Page
Phononic Crystals J.H. Page University of Manitoba with Suxia Yang and M.L. Cowan at U of M, Ping Sheng and C.T. Chan at HKUST, & Zhengyou Liu at Wuhan University. We study ultrasonic waves in complex
More informationUltrasonic wave transport in strongly scattering media
Ultrasonic wave transport in strongly scattering media J. H. Page Department of Physics and Astronomy University of Manitoba Winnipeg, MB Canada R3T 2N2 Summary. Ultrasonic experiments are well suited
More informationNATO ASI on Photonic Crystals and Light Localization, Crete, June 19-30, 2000 ACOUSTIC BAND GAP MATERIALS
NATO ASI on Photonic Crystals and Light Localization, Crete, June 19-30, 2000 ACOUSTIC BAND GAP MATERIALS J.H. Page 1, A.L. Goertzen 1,*, Suxia Yang 1,2, Zhengyou Liu 2,3, C.T. Chan 2 and Ping Sheng 2
More informationChapter 4 2D 3D Phononic Crystals
Chapter 4 2D 3D Phononic Crystals A. Sukhovich, J.H. Page, J.O. Vasseur, J.F. Robillard, N. Swinteck, and Pierre A. Deymier Abstract This chapter presents a comprehensive description of the properties
More informationSonic Crystals: Fundamentals, characterization and experimental techniques
Sonic Crystals: Fundamentals, characterization and experimental techniques A. C e b r e c o s 1 L a u m, L e M a n s U n i v e r s i t é, C N R S, A v. O. M e s s i a e n, 7 2 0 8 5, L e M a n s Collaborators
More informationSpeed of Light in Glass
Experiment (1) Speed of Light in Glass Objective:- This experiment is used to determine the speed of propagation of light waves in glass. Apparatus:- Prism, spectrometer, Halogen lamp source. Theory:-
More information'l John 3-f. Paee. you Liu sics anc[ Teclino{ogy Wufian University, Cliina. Suxia Ya!!B_~ 'l!{tysics ana.'astronomy anitoba, Canac[a
'l 0 1 5 3rd INTERNATIONAL CONFERENCE ON PHONONIC CRYSTALS/ METAMATERIALS, PHONON TRANSPORT & PHONON COUPLING May 31-June 5, 2015 - Paris, France eyart~ 11niv Sclioo( of John 3-f. Paee 'l!{tysics ana.'astronomy
More information2015 Brillouin Medal Recipients: John H. Page Department of Physics and Astronomy University of Manitoba, Canada
2015 Brillouin Medal Recipients: Léon Brillouin (1889-1969) John H. Page Department of Physics and Astronomy University of Manitoba, Canada Zhengyou Liu School of Physics and Technology Wuhan University,
More informationAcoustic guiding and subwavelength imaging with sharp bending by sonic crystal
Acoustic guiding and subwavelength imaging with sharp bending by sonic crystal Bo Li, Ke Deng *, and Heping Zhao Department of Physics, Jishou University, Jishou 46, Hunan, hina A sharp bending scheme
More informationPhononic crystals (PCs) are periodic composite elastic
1314 IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 61, no. 8, August 2014 Focusing Capability of a Phononic Crystal Based on a Hollow Metallic Structure Anne-Christine Hladky-Hennion,
More informationDoppler echocardiography & Magnetic Resonance Imaging. Doppler echocardiography. History: - Langevin developed sonar.
1 Doppler echocardiography & Magnetic Resonance Imaging History: - Langevin developed sonar. - 1940s development of pulse-echo. - 1950s development of mode A and B. - 1957 development of continuous wave
More informationAcoustic pressure characteristic analysis in cavity of 2-D phononic crystal
Journal of Engineering Technology and Education, Vol. 9, No. June 1, pp. 115-11 Acoustic pressure characteristic analysis in cavity of -D phononic crystal Jia-Yi Yeh 1, Jiun-Yeu Chen 1 Department of Information
More informationCanalization of Sub-wavelength Images by Electromagnetic Crystals
Progress In Electromagnetics Research Symposium 2005, Hangzhou, China, August 22-26 37 Canalization of Sub-wavelength Images by Electromagnetic Crystals P. A. Belov 1 and C. R. Simovski 2 1 Queen Mary
More informationLeft-handed materials: Transfer matrix method studies
Left-handed materials: Transfer matrix method studies Peter Markos and C. M. Soukoulis Outline of Talk What are Metamaterials? An Example: Left-handed Materials Results of the transfer matrix method Negative
More informationA Novel Design of Photonic Crystal Lens Based on Negative Refractive Index
PIERS ONLINE, VOL. 4, NO. 2, 2008 296 A Novel Design of Photonic Crystal Lens Based on Negative Refractive Index S. Haxha 1 and F. AbdelMalek 2 1 Photonics Group, Department of Electronics, University
More informationShear waves in solid-state materials
Shear waves in solid-state materials TEAS Related topics Ultrasonic transmission measurement, propagation of ultrasound waves, ultrasound wave modes, shear waves, longitudinal and transverse waves, modulus
More informationMeasurements in Optics for Civil Engineers
Measurements in Optics for Civil Engineers I. FOCAL LENGTH OF LENSES The behavior of simplest optical devices can be described by the method of geometrical optics. For convex or converging and concave
More informationA small object is placed a distance 2.0 cm from a thin convex lens. The focal length of the lens is 5.0 cm.
TC [66 marks] This question is about a converging (convex) lens. A small object is placed a distance 2.0 cm from a thin convex lens. The focal length of the lens is 5.0 cm. (i) Deduce the magnification
More informationSignal Loss. A1 A L[Neper] = ln or L[dB] = 20log 1. Proportional loss of signal amplitude with increasing propagation distance: = α d
Part 6 ATTENUATION Signal Loss Loss of signal amplitude: A1 A L[Neper] = ln or L[dB] = 0log 1 A A A 1 is the amplitude without loss A is the amplitude with loss Proportional loss of signal amplitude with
More informationAcoustic Velocity, Impedance, Reflection, Transmission, Attenuation, and Acoustic Etalons
Acoustic Velocity, Impedance, Reflection, Transmission, Attenuation, and Acoustic Etalons Acoustic Velocity The equation of motion in a solid is (1) T = ρ 2 u t 2 (1) where T is the stress tensor, ρ is
More informationFlute-Model Acoustic Metamaterials with Simultaneously. Negative Bulk Modulus and Mass Density
Flute-Model Acoustic Metamaterials with Simultaneously Negative Bulk Modulus and Mass Density H. C. Zeng, C. R. Luo, H. J. Chen, S. L. Zhai and X. P. Zhao * Smart Materials Laboratory, Department of Applied
More informationgives 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 informationPhotonic Crystal Superlattices in Electro-Optic Slab Waveguides
Photonic Crystal Superlattices in Electro-Optic Slab Waveguides Curtis Neff and C. J. Summers School of Materials Science & Engineering Georgia Institute of Technology SPIE 49th Annual Meeting Denver,
More informationHighly Efficient and Anomalous Charge Transfer in van der Waals Trilayer Semiconductors
Highly Efficient and Anomalous Charge Transfer in van der Waals Trilayer Semiconductors Frank Ceballos 1, Ming-Gang Ju 2 Samuel D. Lane 1, Xiao Cheng Zeng 2 & Hui Zhao 1 1 Department of Physics and Astronomy,
More informationHighly Directive Radiation and Negative Refraction Using Photonic Crystals
Laser Physics, Vol. 5, No., 5, pp. 7 4. Original Text Copyright 5 by Astro, Ltd. Copyright 5 by MAIK Nauka /Interperiodica (Russia). MODERN TRENDS IN LASER PHYSICS Highly Directive Radiation and Negative
More informationPolarization Mode Dispersion
Unit-7: Polarization Mode Dispersion https://sites.google.com/a/faculty.muet.edu.pk/abdullatif Department of Telecommunication, MUET UET Jamshoro 1 Goos Hänchen Shift The Goos-Hänchen effect is a phenomenon
More informationDISPERSION VERY SHORT ANSWER QUESTIONS. Two identical prisms made of the same material placed with their based on opposite sides (of the
DISPERSION VERY SHORT ANSWER QUESTIONS Q-1. What will be the spectrum of sun during a total solar eclipse? Q-2. Why the secondary rainbow is always fainter than the primary rainbow? Q-3. Two identical
More informationFrequency bands of negative refraction in finite one-dimensional photonic crystals
Vol 16 No 1, January 2007 c 2007 Chin. Phys. Soc. 1009-1963/2007/16(01)/0173-06 Chinese Physics and IOP Publishing Ltd Frequency bands of negative refraction in finite one-dimensional photonic crystals
More information4. Dispersion. The index of refraction of the prism at the input wavelength can be calculated using
4. Dispersion In this lab we will explore how the index of refraction of a material depends on the of the incident light. We first study the phenomenon of minimum deviation of a prism. We then measure
More informationNondestructive Determination of Elastic Constants of Thin Plates Based on PVDF Focusing Ultrasound Transducers and Lamb Wave Measurements
17th World Conference on Nondestructive Testing, 25-28 Oct 2008, Shanghai, China Nondestructive Determination of Elastic Constants of Thin Plates Based on PVDF Focusing Ultrasound Transducers and Lamb
More informationPhotonic crystals: from Bloch modes to T-matrices
Photonic crstals: from Bloch modes to T-matrices B. Gralak, S. Enoch, G. Taeb Institut Fresnel, Marseille, France Objectives : Links between Bloch modes and grating theories (transfer matri) Stud of anomalous
More informationSPECTRUM. Dispersion. This phenomenon can be observed in a lab environment using a
SPECTRUM Dispersion The phenomenon due to which a polychromatic light, like sunlight, splits into its component colours, when passed through a transparent medium like a glass prism, is called dispersion
More informationRefraction and rightness in photonic crystals
Refraction and rightness in photonic crystals R. Gajić 1,2, R. Meisels 2, F. Kuchar 2, K. Hingerl 3 1 Institute of Physics, P.O.Box 68, 11080, Belgrade, Serbia 2 Institute of Physics, University of Leoben,
More informationMandatory Assignment 2013 INF-GEO4310
Mandatory Assignment 2013 INF-GEO4310 Deadline for submission: 12-Nov-2013 e-mail the answers in one pdf file to vikashp@ifi.uio.no Part I: Multiple choice questions Multiple choice geometrical optics
More informationHigh Directivity Horn Antenna of Metamaterial in Terahertz Xiangjin Quan, Shiquan Zhang, Hui Li
International Power, Electronics and Materials Engineering Conference (IPEMEC 215) High Directivity Horn Antenna of Metamaterial in Terahertz Xiangjin Quan, Shiquan Zhang, Hui Li Engineering University
More informationNegative refraction and left-handed behavior in two-dimensional photonic crystals
Negative refraction and left-handed behavior in two-dimensional photonic crystals S. Foteinopoulou and C. M. Soukoulis Ames Laboratory-USDOE and Department of Physics and Astronomy, Iowa State University,
More informationANALYSIS OF FREQUENCY CHARACTERISTICS ON NON-INVASIVE ULTRASONIC-DOPPLER FLOW MEASUREMENT FOR METAL PIPES
4th International Symposium on Ultrasonic Doppler Method for Fluid Mechanics and Fluid Engineering Sapporo, 6.-8. September, 2004 ANALYSIS OF FREQUENCY CHARACTERISTICS ON NON-INVASIVE ULTRASONIC-DOPPLER
More informationElectromagnetic Implosion Using a Lens
Sensor and Simulation Notes Note 516 July 2006 Electromagnetic Implosion Using a Lens Carl E. Baum University of New Mexico Department of Electrical and Computer Engineering Albuquerque New Mexico 87131
More informationLab #13: Polarization
Lab #13: Polarization Introduction In this experiment we will investigate various properties associated with polarized light. We will study both its generation and application. Real world applications
More informationPhononic Crystals: Towards the Full Control of Elastic Waves propagation OUTLINE
Phononic Crystals: Towards the Full Control of Elastic Waves propagation José Sánchez-Dehesa Wave Phenomena Group, Department of Electronic Engineering, Polytechnic University of Valencia, SPAIN. OUTLINE
More informationRefraction and Dispersion in Nonlinear Photonic Crystal Superlattices
Refraction and Dispersion in Nonlinear Photonic Crystal Superlattices LEOS 18 th Annual Meeting Sydney, Australia Monday, 24 October 2005 Curtis W. Neff, Tsuyoshi Yamashita and Christopher J. Summers Presented
More informationFocusing Ultrasound with Acoustic Metamaterial Network
Focusing Ultrasound with Acoustic Metamaterial etwork Shu Zhang, Leilei Yin and icholas Fang Department of Mechanical Science and Engineering, University of Illinois at Urbana- Champaign, USA We present
More informationElectromagnetic Metamaterials
Electromagnetic Metamaterials Dr. Alkim Akyurtlu Center for Electromagnetic Materials and Optical Systems University of Massachusetts Lowell September 19, 2006 Objective Outline Background on Metamaterials
More informationULTRASONIC INSPECTION, MATERIAL NOISE AND. Mehmet Bilgen and James H. Center for NDE Iowa State University Ames, IA 50011
ULTRASONIC INSPECTION, MATERIAL NOISE AND SURFACE ROUGHNESS Mehmet Bilgen and James H. Center for NDE Iowa State University Ames, IA 511 Rose Peter B. Nagy Department of Welding Engineering Ohio State
More informationPolarization control and sensing with two-dimensional coupled photonic crystal microcavity arrays. Hatice Altug * and Jelena Vučković
Polarization control and sensing with two-dimensional coupled photonic crystal microcavity arrays Hatice Altug * and Jelena Vučković Edward L. Ginzton Laboratory, Stanford University, Stanford, CA 94305-4088
More informationTheoretical study of subwavelength imaging by. acoustic metamaterial slabs
Theoretical study of subwavelength imaging by acoustic metamaterial slabs Ke Deng,2, Yiqun Ding, Zhaojian He, Heping Zhao 2, Jing Shi, and Zhengyou Liu,a) Key Lab of Acoustic and Photonic materials and
More information4. Dispersion. The index of refraction of the prism at the input wavelength can be calculated using
4. Dispersion In this lab we will explore how the index of refraction of a material depends on the of the incident light. We first study the phenomenon of minimum deviation of a prism. We then measure
More informationFinite Element Modeling of Ultrasonic Transducers for Polymer Characterization
Excerpt from the Proceedings of the COMSOL Conference 2009 Milan Finite Element Modeling of Ultrasonic Transducers for Polymer Characterization Serena De Paolis *, Francesca Lionetto and Alfonso Maffezzoli
More information16. More About Polarization
16. More About Polarization Polarization control Wave plates Circular polarizers Reflection & polarization Scattering & polarization Birefringent materials have more than one refractive index A special
More information(2) A two-dimensional solid has an electron energy band of the form, . [1]
(1) The figure shows a two-dimensional periodic lattice, containing A atoms (white) and B atoms (black). The section of lattice shown makes a 3a 4a rectangle, as shown (measured from A atom to A atom).
More information6th NDT in Progress Lamb waves in an anisotropic plate of a single crystal silicon wafer
6th NDT in Progress 2011 International Workshop of NDT Experts, Prague, 10-12 Oct 2011 Lamb waves in an anisotropic plate of a single crystal silicon wafer Young-Kyu PARK 1, Young H. KIM 1 1 Applied Acoustics
More informationCharacterization of Left-Handed Materials
Characterization of Left-Handed Materials Massachusetts Institute of Technology 6.635 lecture notes 1 Introduction 1. How are they realized? 2. Why the denomination Left-Handed? 3. What are their properties?
More informationWorkshop 2: Acoustic Output Measurements
37 th th UIA Symposium, Washington DC Workshop 2: Acoustic Output Measurements Mark Hodnett Senior Research Scientist Quality of Life Division National Physical Laboratory Teddington Middlesex, UK Workshop
More informationLecture #2 Nanoultrasonic imaging
Lecture #2 Nanoultrasonic imaging Dr. Ari Salmi www.helsinki.fi/yliopisto 24.1.2014 1 Background Matemaattis-luonnontieteellinen tiedekunta / Henkilön nimi / Esityksen nimi www.helsinki.fi/yliopisto 24.1.2014
More informationFull Band Gap and Defects States in Solid-in-Solid Three Dimensional Phononic Crystals
1 Full Band Gap and Defects States in Solid-in-Solid Three Dimensional Phononic Crystals Ke Sun and Z Yang 1 Department of Physics, the Hong Kong University of Science and Technology, Clearwater Bay, Kowloon,
More informationLaser 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 informationBrewster's angle (3)
Aim: Subjects: Diagram: To investigate the reflection and transmission of p- and s-polarized light at different angles of incidence at the surface of an acrylic block. Also the critical angle is shown.
More informationBioengineering 280A Principles of Biomedical Imaging. Fall Quarter 2006 Ultrasound Lecture 1
Bioengineering 280A Principles of Biomedical Imaging Fall Quarter 2006 Ultrasound Lecture 1 From Suetens 2002 1 Basic System Echo occurs at t=2z/c where c is approximately 1500 m/s or 1.5 mm/µs Macovski
More informationAngular Spectrum Decomposition Analysis of Second Harmonic Ultrasound Propagation and its Relation to Tissue Harmonic Imaging
The 4 th International Workshop on Ultrasonic and Advanced Methods for Nondestructive Testing and Material Characterization, June 9, 006 at ABSTRACT Angular Spectrum Decomposition Analysis of Second Harmonic
More informationStructure of Biological Materials
ELEC ENG 3BA3: Structure of Biological Materials Notes for Lecture #19 Monday, November 22, 2010 6.5 Nuclear medicine imaging Nuclear imaging produces images of the distribution of radiopharmaceuticals
More informationSUBSURFACE WAVES IN SOLIDS WITH CURVED SURFACE AND ACOUSTICAL IMPEDANCE ON IT
SUBSURFACE WAVES IN SOLIDS WITH CURVED SURFACE AND ACOUSTICAL IMPEDANCE ON IT A. Baev, P. Prokhorenko, and M. Asadchaya Institute of Applied Physics, Minsk, Belarus Abstract: This paper presents the results
More informationWave Propagation in Uniaxial Media. Reflection and Transmission at Interfaces
Lecture 5: Crystal Optics Outline 1 Homogeneous, Anisotropic Media 2 Crystals 3 Plane Waves in Anisotropic Media 4 Wave Propagation in Uniaxial Media 5 Reflection and Transmission at Interfaces Christoph
More informationImpedance/Reactance Problems
Impedance/Reactance Problems. Consider the circuit below. An AC sinusoidal voltage of amplitude V and frequency ω is applied to the three capacitors, each of the same capacitance C. What is the total reactance
More informationECE 484 Semiconductor Lasers
ECE 484 Semiconductor Lasers Dr. Lukas Chrostowski Department of Electrical and Computer Engineering University of British Columbia January, 2013 Module Learning Objectives: Understand the importance of
More informationPhysics 214 Course Overview
Physics 214 Course Overview Lecturer: Mike Kagan Course topics Electromagnetic waves Optics Thin lenses Interference Diffraction Relativity Photons Matter waves Black Holes EM waves Intensity Polarization
More informationPHYSICS. Ray Optics. Mr Rishi Gopie
Ray Optics Mr Rishi Gopie Ray Optics Nature of light Light is a form of energy which affects the human eye in such a way as to cause the sensation of sight. Visible light is a range of electromagnetic
More information4. Circular Dichroism - Spectroscopy
4. Circular Dichroism - Spectroscopy The optical rotatory dispersion (ORD) and the circular dichroism (CD) are special variations of absorption spectroscopy in the UV and VIS region of the spectrum. The
More informationProceedings of Meetings on Acoustics
Proceedings of Meetings on Acoustics Volume 19, 2013 http://acousticalsociety.org/ ICA 2013 Montreal Montreal, Canada 2-7 June 2013 Physical Acoustics Session 2pPA: Material Characterization 2pPA10. Frequency-resolved
More informationCitation for published version (APA): Shen, C. (2006). Wave Propagation through Photonic Crystal Slabs: Imaging and Localization. [S.l.]: s.n.
University of Groningen Wave Propagation through Photonic Crystal Slabs Shen, Chuanjian IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from it.
More informationEFFECTS OF ACOUSTIC SCATTERING AT ROUGH SURFACES ON THE
EFFECTS OF ACOUSTIC SCATTERING AT ROUGH SURFACES ON THE SENSITIVITY OF ULTRASONIC INSPECTION Peter B. Nagy and Laszlo Adler Department of Welding Engineering The Ohio State University Columbus, Ohio 4321
More informationNonlinear Effects in Optical Fiber. Dr. Mohammad Faisal Assistant Professor Dept. of EEE, BUET
Nonlinear Effects in Optical Fiber Dr. Mohammad Faisal Assistant Professor Dept. of EEE, BUET Fiber Nonlinearities The response of any dielectric material to the light becomes nonlinear for intense electromagnetic
More informationNegative Refraction and Subwavelength Lensing in a Polaritonic Crystal
Negative Refraction and Subwavelength Lensing in a Polaritonic Crystal X. Wang and K. Kempa Department of Physics, Boston College Chestnut Hill, MA 02467 We show that a two-dimensional polaritonic crystal,
More informationDesign of a Multi-Mode Interference Crossing Structure for Three Periodic Dielectric Waveguides
Progress In Electromagnetics Research Letters, Vol. 75, 47 52, 2018 Design of a Multi-Mode Interference Crossing Structure for Three Periodic Dielectric Waveguides Haibin Chen 1, Zhongjiao He 2,andWeiWang
More informationUC San Diego UC San Diego Electronic Theses and Dissertations
UC San Diego UC San Diego Electronic Theses and Dissertations Title Microstructurally Controlled Composites with Optimal Elastodynamic Properties Permalink https://escholarship.org/uc/item/9gw5w8tq Author
More informationHACES SONOROS EN CRISTALES DE SONIDO FINITOS
HACES SONOROS EN CRISTALES DE SONIDO FINITOS PACS: 43.0.Fn R. Picó 1, V. Romero-García 1, V. Sánchez-Morcillo 1, L.M. Garcia-Raffi, J.V. Sánchez-Pérez 3, K. Staliunas 4 1 Instituto de Investigación para
More informationChapter 2 Basic Optics
Chapter Basic Optics.1 Introduction In this chapter we will discuss the basic concepts associated with polarization, diffraction, and interference of a light wave. The concepts developed in this chapter
More informationDeviations from Malus Law
From: Steve Scott, Jinseok Ko, Howard Yuh To: MSE Enthusiasts Re: MSE Memo #18a: Linear Polarizers and Flat Glass Plates Date: January 16, 2004 This memo discusses three issues: 1. When we measure the
More informationSetting The motor that rotates the sample about an axis normal to the diffraction plane is called (or ).
X-Ray Diffraction X-ray diffraction geometry A simple X-ray diffraction (XRD) experiment might be set up as shown below. We need a parallel X-ray source, which is usually an X-ray tube in a fixed position
More informationPhysics 1212 Exam #1
Physics 1212 Exam #1 Instructions: This is a closed-book, closed-notes exam. You are allowed to use a clean print-out of your formula sheet, a non-progammable, non-algebra scientific calculator, and a
More informationDIFFRACTION PHYSICS THIRD REVISED EDITION JOHN M. COWLEY. Regents' Professor enzeritus Arizona State University
DIFFRACTION PHYSICS THIRD REVISED EDITION JOHN M. COWLEY Regents' Professor enzeritus Arizona State University 1995 ELSEVIER Amsterdam Lausanne New York Oxford Shannon Tokyo CONTENTS Preface to the first
More informationAP Waves/Optics ~ Learning Guide
AP Waves/Optics ~ Learning Guide Name: Instructions: Using a pencil, answer the following questions. The guide is marked based on effort, completeness, thoughtfulness, and neatness (not accuracy). Do your
More informationLECTURE 23: LIGHT. Propagation of Light Huygen s Principle
LECTURE 23: LIGHT Propagation of Light Reflection & Refraction Internal Reflection Propagation of Light Huygen s Principle Each point on a primary wavefront serves as the source of spherical secondary
More informationTHE PROPAGATION AND CUTOFF FREQUENCIES OF THE RECTANGULAR METALLIC WAVEGUIDE PAR- TIALLY FILLED WITH METAMATERIAL MULTILAYER SLABS
Progress In Electromagnetics Research M, Vol. 9, 35 40, 2009 THE PROPAGATION AND CUTOFF FREQUENCIES OF THE RECTANGULAR METALLIC WAVEGUIDE PAR- TIALLY FILLED WITH METAMATERIAL MULTILAYER SLABS D. Zhang
More informationResearch on the Wide-angle and Broadband 2D Photonic Crystal Polarization Splitter
Progress In Electromagnetics Research Symposium 2005, Hangzhou, China, August 22-26 551 Research on the Wide-angle and Broadband 2D Photonic Crystal Polarization Splitter Y. Y. Li, P. F. Gu, M. Y. Li,
More informationPrinciple and application of ultrasonic wave
Topics on ultrasonic wave Principle and application of ultrasonic wave Writer Handong Li ( ) Emendator: Yabin Zhu ( ) 1 brief introduction to the special subject Ultrasonic wave is an acoustic wave whose
More informationGuided Acoustic Wave Brillouin Scattering (GAWBS) in Photonic Crystal Fibers (PCFs)
Guided Acoustic Wave Brillouin Scattering (GAWBS) in Photonic Crystal Fibers (PCFs) FRISNO-9 Dominique Elser 15/02/2007 GAWBS Theory Thermally excited acoustic fiber vibrations at certain resonance frequencies
More informationAssignment , 7.1, 7.2, 7.5, 7.11, 7.12, 7.15, TIR and FTIR
LC45-summer, 1 1. 1.1, 7.1, 7., 7.5, 7.11, 7.1, 7.15, 7.1 1.1. TIR and FTIR a) B considering the electric field component in medium B in Figure 1. (b), eplain how ou can adjust the amount of transmitted
More informationWavelength Dependent Microwave Devices Based on Metamaterial Technology. Professor Bal Virdee BSc(Eng) PhD CEng FIET
Wavelength Dependent Microwave Devices Based on Metamaterial Technology by Professor Bal Virdee BSc(Eng) PhD CEng FIET EM response of materials are determined by the spatial distribution of its atoms and
More informationSUPPLEMENTARY INFORMATION
SUPPLEMENTARY INFORMATION doi: 10.1038/nnano.2011.72 Tunable Subradiant Lattice Plasmons by Out-of-plane Dipolar Interactions Wei Zhou and Teri W. Odom Optical measurements. The gold nanoparticle arrays
More informationWave Phenomena Physics 15c. Lecture 15 Reflection and Refraction
Wave Phenomena Physics 15c Lecture 15 Reflection and Refraction What We (OK, Brian) Did Last Time Discussed EM waves in vacuum and in matter Maxwell s equations Wave equation Plane waves E t = c E B t
More informationQuantum Condensed Matter Physics Lecture 5
Quantum Condensed Matter Physics Lecture 5 detector sample X-ray source monochromator David Ritchie http://www.sp.phy.cam.ac.uk/drp2/home QCMP Lent/Easter 2019 5.1 Quantum Condensed Matter Physics 1. Classical
More informationSimulation of Simultaneously Negative Medium Metamaterials
Simulation of Simultaneously Negative Medium Metamaterials Xiao Wang Thesis submitted to the faculty of the Virginia Polytechnic Institute and State University in partial fulfillment of the requirements
More informationName: School Name: PHYSICS CONTEST EXAMINATION
PHYSICS CONTEST EXAMINATION - 2013 Unless otherwise specified, please use g as the acceleration due to gravity at the surface of the earth. Please note that i^, j^, and k^ are unit vectors along the x-axis,
More informationPhys102 Lecture Diffraction of Light
Phys102 Lecture 31-33 Diffraction of Light Key Points Diffraction by a Single Slit Diffraction in the Double-Slit Experiment Limits of Resolution Diffraction Grating and Spectroscopy Polarization References
More informationOptical Properties of Left-Handed Materials by Nathaniel Ferraro 01
Optical Properties of Left-Handed Materials by Nathaniel Ferraro 1 Abstract Recently materials with the unusual property of having a simultaneously negative permeability and permittivity have been tested
More informationNumerical Simulation of
Numerical Simulation of Phonon Dispersion Relations for 2D Phononic Crystals Gaohua Zhu, Eric Dede Toyota Research Institute of North America 10/03/2012 Excerpt from the Proceedings of the 2012 COMSOL
More informationWaves & Oscillations
Physics 42200 Waves & Oscillations Lecture 32 Electromagnetic Waves Spring 2016 Semester Matthew Jones Electromagnetism Geometric optics overlooks the wave nature of light. Light inconsistent with longitudinal
More informationECE280: Nano-Plasmonics and Its Applications. Week8. Negative Refraction & Plasmonic Metamaterials
ECE8: Nano-Plasonics and Its Applications Week8 Negative Refraction & Plasonic Metaaterials Anisotropic Media c k k y y ω μ μ + Dispersion relation for TM wave isotropic anisotropic k r k i, S i S r θ
More informationThe Physics of Doppler Ultrasound. HET408 Medical Imaging
The Physics of Doppler Ultrasound HET408 Medical Imaging 1 The Doppler Principle The basis of Doppler ultrasonography is the fact that reflected/scattered ultrasonic waves from a moving interface will
More information