STUDIES OF PHOTONIC CRYSTALS WITH PLANE-WAVE EXPANSION METHOD
|
|
- Silas Wilson
- 6 years ago
- Views:
Transcription
1 STUDIES OF PHOTONIC CRYSTALS WITH PLANE-WAVE EXPANSION METHOD THESIS Submitted in Partial Fulfillment of the Requirements for the Degree of Sarjana in Physics at the Institut Teknologi Bandung by YUDISTIRA VIRGUS DEPARTMENT OF PHYSICS FACULTY OF MATHEMATICS AND NATURAL SCIENCE INSTITUT TEKNOLOGI BANDUNG 2008
2 STUDIES OF PHOTONIC CRYSTALS WITH PLANE-WAVE EXPANSION METHOD THESIS Submitted in Partial Fulfillment of the Requirements for the Degree of Sarjana in Physics at the Institut Teknologi Bandung by YUDISTIRA VIRGUS Certified and approved by Alexander A. Iskandar. Ph.D NIP: Supervisor DEPARTMENT OF PHYSICS FACULTY OF MATHEMATICS AND NATURAL SCIENCE INSTITUT TEKNOLOGI BANDUNG 2008
3 For my Mom The one who always keeps my spirit high I was born not knowing and have only had a little time to change that here and there. Richard Feynman, Letter to Armando Garcia J Not to know is bad. Not to wish to know is worse. Nigerian Proverb Le savant n étudie pas la nature parce que cela est utile; il l étudie parce qu il y prend plaisir, et il y prend plaisir parce qu elle est belle. Si la nature n était pas belle, elle ne vaudrait pas la peine d être connue, la vie ne vaudrait pas la peine d être vécue. The scientist does not study nature because it is useful to do so. He studies it because he takes pleasure in it, and he takes pleasure in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, and life would not be worth living. Henri Poincaré, Science and Method
4 ABSTRACT Dear Sir and Madam, will you read my book, it took me years to write, will you take a look? John Lennon and Paul McCartney, Paperback Writer In this Thesis, we numerically investigate the band structure of photonic crystals with plane-wave expansion method based on earlier works. We also compare the result for one-dimensional photonic crystals with the analytical result from transfer matrix method. First, we analyze the optical properties of multilayer periodic structures, one-dimensional photonic crystals, by means of Bloch s theorem and transfer matrix method. We focus on how to calculate the band structure of the systems analytically and show that there are photonic band gaps, i.e., a range of frequencies where no electromagnetic waves can propagate within the crystal. Such structures have been studied in great details because the structure response can be derived analytically, for example using standard transfer matrix method, and thus do not require powerful computational techniques. Furthermore, these results are easily tested since such structures can be easily fabricated with standard methods. iv
5 Next, we analyze the band structure of photonic crystals using plane-wave expansion method. This numerical method is based on the Fourier expansion of the electromagnetic field and the dielectric function. Generally, it involves intensive computations with thousands of plane waves. We use MATLAB to implement the plane-wave expansion method. First, we try to calculate the band structure of one-dimensional photonic crystal with this method and compare its results with the analytical result. Furthermore, two-dimensional photonic crystal will be studied using the plane-wave expansion method. Finally, we investigate a two-dimensional photonic crystal with a defect using a supercell approach. By introducing a defect to the crystal structure, the utility of photonic crystals is enhanced because the creation of localized frequency states within the photonic band gap. We also investigate the electric-field patterns of the defect modes that appear within the photonic band gap. v
6 ACKNOWLEDGEMENT It is said of a lonely man that he does not appreciate the life of society. This is like saying he hates hiking because he dislikes walking in thick forest on a dark night. Sebastian Roch Nicolas Chamfort I would like to thank my God for His blessing in my life. He is always there every time I need Him. Never a single second, He leaves me although I often forget Him. He teaches me a lot of things that the world has never told me before. I may never understand His unceasing love for me but I am happy that He loves me this way. There is no doubt that my parents always support me to reach my dreams. There were a lot of sufferings in their past lives, however; they kept giving me the best. They gave me the best school, the best love, the best protection and they just gave me the best parents. No son could ask better. In addition, I would like to thank my sisters, Vinda and Neshia, for their loves and supports for me. I would like to thank my advisor, Alexander Iskandar, for his advices and helps through the time I worked on my thesis. It would be impossible for me to finish my thesis without those precious advices. In addition, I would also thank Prof. Tjia May On for numerous useful questions about my thesis. He could vi
7 always see any small error in my works. That was really impressed me, since I could not see those errors myself. I would like to thank Erik Winfree for giving me a chance to work with him on SURF program. At that time, I really felt that I was a world class researcher. I really missed that time. I was also thankful to Rizal Hariadi and Nadine Dabby for being my co-mentor for SURF program. They taught me a lot of things about being a good researcher. I would also like to thank the rest of the DNA lab members; Georg, David, Dave, Eliza, Rob, Ton, etc. I would like to give my special thanks for Bernad Yurke, Bernie, for spending his time asking any science question from me. He gave me an unforgettable moment when we almost set the lab on fire. I am grateful to Caltech for supporting me with the SURF program. I am glad to have my dormitory friends who can always cast away my boredom. I love the moments that we play together. I am also happy for having my college friends. They always helped me with the technical problems I had when I was in ITB. Finally, I would like to thank Hendra Kwee, my senior in high school, physics Olympiad team, and college; for his explanation about the supercell method. It was probably impossible for me to finish my thesis on time without his explanation. Actually, there are still a lot of people whom I would like to thank for their support for me. However, it is just impossible to include all of them on these few pages. vii
8 TABLE OF CONTENTS Abstract.... Acknowledgement... iv vi Table of Contents.... viii Chapter I Introduction Background Outline of the Thesis.. 5 Chapter II Basic Electromagnetic Theory Maxwell s Equations and Boundary Conditions Maxwell s Equations Boundary Conditions Wave Equations and Monocromatic Plane Waves Energy Density and Energy Flux of Electromagnetic Waves Reflection and Refraction of Plane Waves Snell s Law and Fresnel s Formulas Reflection and Transmission of s Wave (TE Wave) Reflection and Transmission of p Wave (TM Wave) Reflectance and Transmittance 25 viii
9 Total Internal Reflection Brewster Angle Chapter III Optics of One-Dimensional Photonic Crystals Optics of a Single Homogeneous and Isotropic Layer Electromagnetic Treatment Reflectance, Transmittance, and Absorptance Thick Layers and Spectral Averaging Matrix Formulation for Isotropic Layered Media Matrix Formulation for a Thin Film Matrix Formulation for Multilayer System Transmittance and Reflectance Optics of Periodic Layered Media Periodic Layered Media Bloch Waves and Band Structures Reflectance and Transmittance Chapter IV Plane-Wave Expansion Method Crystal Structure and Reciprocal Lattice Periodic Arrays of Atoms Reciprocal Lattice Vectors Brillouin Zones Eigenmodes of Photonic Crystals Wave Equations ix
10 Electromagnetism as an Eigenvalue Problem General Properties of a Hermitian Operator Electromagnetic Energy and Variational Principle Why Not Use the Electric Field? Bloch s Theorem for Solving Eigenvalue Problems Proof s of Bloch Theorem Eigenvalue Problems in Two-Dimensional Crystals Fourier Expansion of Dielectric Functions Scaling Law and Time Reversal Symmetry The Implementation of Plane-Wave Expansion Method One-Dimensional Photonic Crystal Normal Incidence Non-Normal Incidence Two-Dimensional Photonic Crystal In-Plane Propagation Square Lattice Case Mode Field Distribution Chapter V Defect Modes in Two-Dimensional Photonic Crystals General Properties Shifting Property of Fourier Transform Square Lattice Without Defect Defect Modes in Square Lattice x
11 5.5 Mode Field Distribution of Defect Modes Chapter VI Conclusion and Future Perspectives Conclusion Future Perspectives Appendix Proof of Chebyshev s Identity Bibliography Biographical Note xi
Citation 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 information50%-50% Beam Splitters Using Transparent Substrates Coated by Single- or Double-Layer Quarter-Wave Thin Films
University of New Orleans ScholarWorks@UNO University of New Orleans Theses and Dissertations Dissertations and Theses 5-22-2006 50%-50% Beam Splitters Using Transparent Substrates Coated by Single- or
More informationContents. 1 Basic Equations 1. Acknowledgment. 1.1 The Maxwell Equations Constitutive Relations 11
Preface Foreword Acknowledgment xvi xviii xix 1 Basic Equations 1 1.1 The Maxwell Equations 1 1.1.1 Boundary Conditions at Interfaces 4 1.1.2 Energy Conservation and Poynting s Theorem 9 1.2 Constitutive
More informationFUNDAMENTALS OF POLARIZED LIGHT
FUNDAMENTALS OF POLARIZED LIGHT A STATISTICAL OPTICS APPROACH Christian Brosseau University of Brest, France A WILEY-INTERSCIENCE PUBLICATION JOHN WILEY & SONS, INC. New York - Chichester. Weinheim. Brisbane
More informationCONVERSATIONAL ANALYSIS: A CASE STUDY ON THE CONVERSATION BETWEEN RECEPTIONISTS AND GUESTS AT KUNJA VILLAS
CONVERSATIONAL ANALYSIS: A CASE STUDY ON THE CONVERSATION BETWEEN RECEPTIONISTS AND GUESTS AT KUNJA VILLAS BY: NI PUTU ELISTIAWATI 1201305007 ENGLISH DEPARTMENT FACULTY OF ARTS UDAYANA UNIVERSITY 2016
More informationNANO/MICROSCALE HEAT TRANSFER
NANO/MICROSCALE HEAT TRANSFER Zhuomin M. Zhang Georgia Institute of Technology Atlanta, Georgia New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore
More informationPhotonic band gap engineering in 2D photonic crystals
PRAMANA c Indian Academy of Sciences Vol. 67, No. 6 journal of December 2006 physics pp. 1155 1164 Photonic band gap engineering in 2D photonic crystals YOGITA KALRA and R K SINHA TIFAC-Center of Relevance
More informationBehavior of light at photonic crystal interfaces
Behavior of light at photonic crystal interfaces Emanuel Istrate, Alexander A. Green, and Edward H. Sargent Department of Electrical and Computer Engineering, University of Toronto, 10 King s College Road,
More informationWEEK 6: JESUS IS. THE LIGHT
www.bibletoday4kids.com BIBLE LESSONS written by MARGARET LAW (1985) WEEK 6: JESUS IS. THE LIGHT AIM: To show the children that living without Jesus is like living in darkness. Jesus turns on the light
More informationENGLISH DEPARTMENT FACULTY OF LETTERS AND CULTURE UDAYANA UNIVERSITY
POLITENESS MAXIMS FOUND BETWEEN CHARACTERS IN PAPER TOWNS MOVIE PUTU ISMAYA SYAFITRI 1218351023 ENGLISH DEPARTMENT FACULTY OF LETTERS AND CULTURE UDAYANA UNIVERSITY 2016 i ii ACKNOWLEDGEMENTS First of
More informationModelling and design of complete photonic band gaps in two-dimensional photonic crystals
PRAMANA c Indian Academy of Sciences Vol. 70, No. 1 journal of January 2008 physics pp. 153 161 Modelling and design of complete photonic band gaps in two-dimensional photonic crystals YOGITA KALRA and
More informationSummary 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 informationDistributed feedback semiconductor lasers
Distributed feedback semiconductor lasers John Carroll, James Whiteaway & Dick Plumb The Institution of Electrical Engineers SPIE Optical Engineering Press 1 Preface Acknowledgments Principal abbreviations
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 informationWave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media
SECTION I. SEISMIC EXPLORATION Volume 38 WAVE FIELDS IN REAL MEDIA: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media (SECOND EDITION, REVISED AND EXTENDED) by Jose M. CARCIONE
More informationSPIRITUAL GIFTS. ( ) ( ) 1. Would you describe yourself as an effective public speaker?
SPIRITUAL GIFTS QUESTIONNAIRE: SPIRITUAL GIFTS ( ) ( ) 1. Would you describe yourself as an effective public speaker? ( ) ( ) 2. Do you find it easy and enjoyable to spend time in intense study and research
More informationElectromagnetic fields and waves
Electromagnetic fields and waves Maxwell s rainbow Outline Maxwell s equations Plane waves Pulses and group velocity Polarization of light Transmission and reflection at an interface Macroscopic Maxwell
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 informationPhysics of Light and Optics
Physics of Light and Optics Justin Peatross and Harold Stokes Brigham Young University Department of Physics and Astronomy All Publication Rights Reserved (2001) Revised April 2002 This project is supported
More informationPRINCIPLES OF PHYSICAL OPTICS
PRINCIPLES OF PHYSICAL OPTICS C. A. Bennett University of North Carolina At Asheville WILEY- INTERSCIENCE A JOHN WILEY & SONS, INC., PUBLICATION CONTENTS Preface 1 The Physics of Waves 1 1.1 Introduction
More informationPhotonic devices for quantum information processing:
Outline Photonic devices for quantum information processing: coupling to dots, structure design and fabrication Optoelectronics Group, Cavendish Lab Outline Vuckovic s group Noda s group Outline Outline
More informationBook Study Groups Children s Lessons Based on Karma and Reincarnation By Elizabeth Clare Prophet and Patricia R. Spadaro
Book Study Groups Children s Lessons Based on Karma and Reincarnation By Elizabeth Clare Prophet and Patricia R. Spadaro Karma and Reincarnation explores the questions of which family you were born into,
More informationThermodynamics And Its Applications (3rd Edition) PDF
Thermodynamics And Its Applications (3rd Edition) PDF Based on the authors' graduate courses at MIT, this text and reference provides a unified understanding of both the critical concepts of chemical thermodynamics
More informationSimulation of two dimensional photonic band gaps
Available online at www.ilcpa.pl International Letters of Chemistry, Physics and Astronomy 5 (214) 58-88 ISSN 2299-3843 Simulation of two dimensional photonic band gaps S. E. Dissanayake, K. A. I. L. Wijewardena
More information1. Reminder: E-Dynamics in homogenous media and at interfaces
0. Introduction 1. Reminder: E-Dynamics in homogenous media and at interfaces 2. Photonic Crystals 2.1 Introduction 2.2 1D Photonic Crystals 2.3 2D and 3D Photonic Crystals 2.4 Numerical Methods 2.4.1
More informationNanomaterials and their Optical Applications
Nanomaterials and their Optical Applications Winter Semester 2012 Lecture 08 rachel.grange@uni-jena.de http://www.iap.uni-jena.de/multiphoton Outline: Photonic crystals 2 1. Photonic crystals vs electronic
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 informationOPTICAL Optical properties of multilayer systems by computer modeling
Workshop on "Physics for Renewable Energy" October 17-29, 2005 301/1679-15 "Optical Properties of Multilayer Systems by Computer Modeling" E. Centurioni CNR/IMM AREA Science Park - Bologna Italy OPTICAL
More informationOverview in Images. 5 nm
Overview in Images 5 nm K.S. Min et al. PhD Thesis K.V. Vahala et al, Phys. Rev. Lett, 85, p.74 (000) J. D. Joannopoulos, et al, Nature, vol.386, p.143-9 (1997) S. Lin et al, Nature, vol. 394, p. 51-3,
More information3.4 Elliptical Parameters of the Polarization Ellipse References
Contents Preface to the Second Edition Preface to the First Edition A Historical Note Edward Collett iii v xiii PART 1: THE CLASSICAL OPTICAL FIELD Chapter 1 Chapter 2 Chapter 3 Chapter 4 Introduction
More informationLiquid Crystals IAM-CHOON 1(1100 .,4 WILEY 2007 WILEY-INTERSCIENCE A JOHN WILEY & SONS, INC., PUBLICATION. 'i; Second Edition. n z
Liquid Crystals Second Edition IAM-CHOON 1(1100.,4 z 'i; BICENTCNNIAL 1 8 0 7 WILEY 2007 DICENTENNIAL n z z r WILEY-INTERSCIENCE A JOHN WILEY & SONS, INC., PUBLICATION Contents Preface xiii Chapter 1.
More informationPhysics of Classical Electromagnetism
Physics of Classical Electromagnetism Minoru Fujimoto Physics of Classical Electromagnetism Minoru Fujimoto Department of Physics University of Guelph Guelph, Ontario Canada, N1G 2W1 Library of Congress
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 informationFibonacci Sequences Quasiperiodic A 5 B 6 C 7 Ferroelectric Based Photonic Crystal: FDTD analysis
ADVANCED ELECTROMAGNETICS, VOL. 6, NO. 4, OCTOBER 2017 Fibonacci Sequences Quasiperiodic A 5 B 6 C 7 Ferroelectric Based Photonic Crystal: FDTD analysis Sevket Simsek 1, Selami Palaz 2, Amirullah M. Mamedov*
More informationAN APPROPRIATE LOT SIZING TECHNIQUE FOR INVENTORY POLICY PROBLEM WITH DECREASING DEMAND
AN APPROPRIATE LOT SIZING TECHNIQUE FOR INVENTORY POLICY PROBLEM WITH DECREASING DEMAND A THESIS Submitted in Partial Fulfillment of the Requirement for the Bachelor Degree of Engineering in Industrial
More informationOne day an ant was drinking at a small stream and fell in. She made desperate
(A) One day an ant was drinking at a small stream and fell in. She made desperate efforts to reach the side, but made no progress at all. The poor ant almost exhausted was still bravely doing her best
More informationOptical Tweezers: Experimental Demonstrations of the Fluctuation Theorem
Optical Tweezers: Experimental Demonstrations of the Fluctuation Theorem A thesis submitted for the degree of Doctor of Philosophy of The Australian National University David Michael CARBERRY October 2005
More informationESTIMATING STATISTICAL CHARACTERISTICS UNDER INTERVAL UNCERTAINTY AND CONSTRAINTS: MEAN, VARIANCE, COVARIANCE, AND CORRELATION ALI JALAL-KAMALI
ESTIMATING STATISTICAL CHARACTERISTICS UNDER INTERVAL UNCERTAINTY AND CONSTRAINTS: MEAN, VARIANCE, COVARIANCE, AND CORRELATION ALI JALAL-KAMALI Department of Computer Science APPROVED: Vladik Kreinovich,
More informationCHAPTER 9 ELECTROMAGNETIC WAVES
CHAPTER 9 ELECTROMAGNETIC WAVES Outlines 1. Waves in one dimension 2. Electromagnetic Waves in Vacuum 3. Electromagnetic waves in Matter 4. Absorption and Dispersion 5. Guided Waves 2 Skip 9.1.1 and 9.1.2
More informationPMARIZED LI6HT FUNDAMENTALS AND APPLICATIONS EBWABD COLLETT. Measurement Concepts, Inc. Colts Neck, New Jersey
PMARIZED LI6HT FUNDAMENTALS AND APPLICATIONS EBWABD COLLETT Measurement Concepts, Inc. Colts Neck, New Jersey Marcel Dekker, Inc. New York Basel Hong Kong About the Series Preface A Historical Note iii
More informationPENGUIN READERS. Five Famous Fairy Tales
PENGUIN READERS Five Famous Fairy Tales Introduction Jacob and Wilhelm Grimm the Brothers Grimm were good friends. Jacob was a quiet man and sometimes sad. Wilhelm was often very ill but he was a happier
More informationExplorers 4 Teacher s notes for the Comprehension Test: The Snow Queen
Explorers 4 Teacher s notes for the Comprehension Test: The Snow Queen Do this test after you have read the whole book with the class. Ask the children to fill in their name and the date at the top of
More informationFundamentals of modern optics (2017/2018 WS)
FoMO17_info_2017-10-10.docx 1 Fundamentals of modern optics (2017/2018 WS) by Prof. Thomas PERTSCH at Abbe School of Photonics, Friedrich-Schiller-Universität Jena in winter term 2017/2018 LECTURES: Monday,
More informationPrinciple of photonic crystal fibers
Principle of photonic crystal fibers Jan Sporik 1, Miloslav Filka 1, Vladimír Tejkal 1, Pavel Reichert 1 1 Fakulta elektrotechniky a komunikačních technologií VUT v Brně Email: {xspori1, filka, xtejka,
More informationTHE LAWS OF PHYSICS. DOSE THE S.E.G. AND I.G.V. BREAK THESE LAWS? PART 2.
THE LAWS OF PHYSICS. DOSE THE S.E.G. AND I.G.V. BREAK THESE LAWS? PART 2. 1: I mainly presented just five key words that I often use and to what impression they create upon my brain. I also presented some
More informationPaul Writes To Philemon Philemon 1:1-25
Lesson 344 Paul Writes To Philemon Philemon 1:1-25 MEMORY VERSE PHILEMON v.20 Yes, brother, let m e have joy from you in the Lord; refresh m y heart in the Lord. WHAT YOU WILL NEED: Several super bouncy
More informationOverview in Images. S. Lin et al, Nature, vol. 394, p , (1998) T.Thio et al., Optics Letters 26, (2001).
Overview in Images 5 nm K.S. Min et al. PhD Thesis K.V. Vahala et al, Phys. Rev. Lett, 85, p.74 (000) J. D. Joannopoulos, et al, Nature, vol.386, p.143-9 (1997) T.Thio et al., Optics Letters 6, 197-1974
More informationSTABILITY AND SIMULATION OF A STANDING WAVE IN POROUS MEDIA LAU SIEW CHING UNIVERSTI TEKNOLOGI MALAYSIA
STABILITY AND SIMULATION OF A STANDING WAVE IN POROUS MEDIA LAU SIEW CHING UNIVERSTI TEKNOLOGI MALAYSIA I hereby certify that I have read this thesis and in my view, this thesis fulfills the requirement
More informationLOST LOVE SPELLS THAT WORK IMMEDIATELY PERMANENTLY
LOST LOVE SPELLS THAT WORK IMMEDIATELY PERMANENTLY Lost Love Spells are one of the most strong effective love spells that work because of their way of custom establishment and casting, the fact that everyone
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 informationDispersion Relation of Defect Structure Containing Negative Index Materials
Advance in Electronic and Electric Engineering. ISSN 2231-1297, Volume 3, Number 8 (2013), pp. 965-970 Research India Publications http://www.ripublication.com/aeee.htm Dispersion Relation of Defect Structure
More informationABSTRACT. Keywords: Photonic crystals, Band structure, Optical properties, Plane wave expansion method 1.INTRODUCTION 2.
Effect of Ellipticity on Photonic Band Gaps in 2D Photonic Crystals Yogita Nagpal * and R.K.Sinha Department of Applied Physics, Delhi College of Engineering, (Faculty of Technology, University of Delhi)
More informationThe Early Church Acts 2:42-47; 4:32-37
Lesson 286 The Early Church Acts 2:42-47; 4:32-37 MEMORY VERSE ACTS 2:42 And they continued steadfastly in the apostles' doctrine and fellowship, in the breaking of bread, and in prayers. WHAT YOU WILL
More informationFast Light and Focusing in 2D Photonic Quasicrystals
PIERS ONLINE, VOL. 5, NO. 5, 2009 451 Fast Light and Focusing in 2D Photonic Quasicrystals Y. Neve-Oz 1, T. Pollok 2, Sven Burger 2, Michael Golosovsky 1, and Dan Davidov 1 1 The Racah Institute of Physics,
More informationMoses Dies Deuteronomy 34
Lesson 054 Moses Dies Deuteronomy 34 MEMORY VERSE Deuteronomy 34:10 But since then there has not arisen in Israel a prophet like Moses, whom the LORD knew face to face, WHAT YOU WILL NEED: Small cardboard
More informationSpectral scalability and optical spectra of fractal multilayer structures: FDTD analysis
Appl. Phys. A (2017):33 DOI 10.1007/s00339-016-0628-0 Spectral scalability and optical spectra of fractal multilayer structures: FDTD analysis Sevket Simsek 1 Selami Palaz 2 Amirullah M. Mamedov 3,4 Ekmel
More informationProgress 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 informationPHOTONIC BANDGAP FIBERS
UMEÅ UNIVERSITY May 11, 2010 Department of Physics Advanced Materials 7.5 ECTS PHOTONIC BANDGAP FIBERS Daba Dieudonne Diba dabadiba@gmail.com Supervisor: Andreas Sandström Abstract The constant pursuit
More informationPeace, Love & Angels My Heavenly Encounters
In PEACE, LOVE & ANGELS: My Heavenly Encounters, author Gina M. Klein shares her personal stories and encounters with God's messengers for the first time. The beautiful auras and soft whispers she's witnessed
More informationOptics, Optoelectronics and Photonics
Optics, Optoelectronics and Photonics Engineering Principles and Applications Alan Billings Emeritus Professor, University of Western Australia New York London Toronto Sydney Tokyo Singapore v Contents
More informationChap. 4. Electromagnetic Propagation in Anisotropic Media
Chap. 4. Electromagnetic Propagation in Anisotropic Media - Optical properties depend on the direction of propagation and the polarization of the light. - Crystals such as calcite, quartz, KDP, and liquid
More informationELECTROMAGNETIC FIELDS AND WAVES
ELECTROMAGNETIC FIELDS AND WAVES MAGDY F. ISKANDER Professor of Electrical Engineering University of Utah Englewood Cliffs, New Jersey 07632 CONTENTS PREFACE VECTOR ANALYSIS AND MAXWELL'S EQUATIONS IN
More informationSOFT X-RAYS AND EXTREME ULTRAVIOLET RADIATION
SOFT X-RAYS AND EXTREME ULTRAVIOLET RADIATION Principles and Applications DAVID ATTWOOD UNIVERSITY OF CALIFORNIA, BERKELEY AND LAWRENCE BERKELEY NATIONAL LABORATORY CAMBRIDGE UNIVERSITY PRESS Contents
More informationElectromagnetic Theory for Microwaves and Optoelectronics
Keqian Zhang Dejie Li Electromagnetic Theory for Microwaves and Optoelectronics Second Edition With 280 Figures and 13 Tables 4u Springer Basic Electromagnetic Theory 1 1.1 Maxwell's Equations 1 1.1.1
More informationThesis submitted for the degree of Doctor of Philosophy. Soma Venugopal Rao
Studies of Excited State Dynamics, Third Order Optical Nonlinearity and Nonlinear Absorption in C 60, Porphyrins, and Phthalocyanines Using Incoherent Laser Spectroscopy Thesis submitted for the degree
More informationThe Shunammite Woman s Land Restored 2 Kings 8:1-6
Lesson 111 The Shunammite Woman s Land Restored 2 Kings 8:1-6 MEMORY VERSE 2 KIN GS 8:6 Restore all that w as hers, and all the proc eeds of the field from the day that she left the land until now. WHAT
More informationINTRODUCTION TO NONLINEAR OPTICAL EFFECTS IN MOLECULES AND POLYMERS
INTRODUCTION TO NONLINEAR OPTICAL EFFECTS IN MOLECULES AND POLYMERS PARAS N. PRASAD Photonics Research Laboratory Department of Chemistry State University of New York Buffalo, New York and DAVID J. WILLIAMS
More informationModeling of Kerr non-linear photonic components with mode expansion
Modeling of Kerr non-linear photonic components with mode expansion Björn Maes (bjorn.maes@intec.ugent.be), Peter Bienstman and Roel Baets Department of Information Technology, Ghent University IMEC, St.-Pietersnieuwstraat
More informationPlasma Physics Prof. V. K. Tripathi Department of Physics Indian Institute of Technology, Delhi
Plasma Physics Prof. V. K. Tripathi Department of Physics Indian Institute of Technology, Delhi Lecture No. # 09 Electromagnetic Wave Propagation Inhomogeneous Plasma (Refer Slide Time: 00:33) Today, I
More informationWaves in Linear Optical Media
1/53 Waves in Linear Optical Media Sergey A. Ponomarenko Dalhousie University c 2009 S. A. Ponomarenko Outline Plane waves in free space. Polarization. Plane waves in linear lossy media. Dispersion relations
More informationPolarized Light. Second Edition, Revised and Expanded. Dennis Goldstein Air Force Research Laboratory Eglin Air Force Base, Florida, U.S.A.
Polarized Light Second Edition, Revised and Expanded Dennis Goldstein Air Force Research Laboratory Eglin Air Force Base, Florida, U.S.A. ш DEK KER MARCEL DEKKER, INC. NEW YORK BASEL Contents Preface to
More informationElectromagnetic Waves Across Interfaces
Lecture 1: Foundations of Optics Outline 1 Electromagnetic Waves 2 Material Properties 3 Electromagnetic Waves Across Interfaces 4 Fresnel Equations 5 Brewster Angle 6 Total Internal Reflection Christoph
More informationLuyện đọc Tiếng Anh: The Monkey and the Crocodile
Luyện đọc Tiếng Anh: The Monkey and the Crocodile The Monkey and the Crocodile Once there was a monkey who lived in a naval tree beside a river. This naval tree produced more fruit than any other tree
More informationChapter 5. Effects of Photonic Crystal Band Gap on Rotation and Deformation of Hollow Te Rods in Triangular Lattice
Chapter 5 Effects of Photonic Crystal Band Gap on Rotation and Deformation of Hollow Te Rods in Triangular Lattice In chapter 3 and 4, we have demonstrated that the deformed rods, rotational rods and perturbation
More informationLecture 21 Reminder/Introduction to Wave Optics
Lecture 1 Reminder/Introduction to Wave Optics Program: 1. Maxwell s Equations.. Magnetic induction and electric displacement. 3. Origins of the electric permittivity and magnetic permeability. 4. Wave
More informationOptimisation of Photonic Crystal Waveguide based Optical Filter
Optimisation of Photonic Crystal Waveguide based Optical Filter A Thesis submitted to the Dept. of Electrical & Electronic Engineering, BRAC University in partial fulfilment of the requirements for the
More informationCONTENTS. 6 Two Promises Miranda and Ferdinand plan to marry. Caliban 36 gets Stephano and Trinculo to promise to kill Prospero.
CONTENTS Words Used...5 Interdisciplinary Teaching Suggestions...4 No. TITLE SYNOPSIS PAGE 1 The Storm Prospero, the Duke of Milan, sinks the king s boat 6 with amagic storm. Prospero tells his daughter,
More informationLet us have your attention please. This is a call for all children with hidden magical powers
Let us have your attention please. This is a call for all children with hidden magical powers Whether you re a Witch in Year 5, a Healer in Year 6, a Warrior, a Hero, or a Teacher, it s time to go on an
More information3PK. February 16-17, Matt s Friends Bring Him to Jesus. Luke 5: We can ask Jesus to help us!
3PK February 16-17, 2012 Matt s Friends Bring Him to Jesus Luke 5:17-26 We can ask Jesus to help us! SCHEDULE for all sites: First 10 minutes of the service hour: Relationship-building time (kids get to
More informationWave Particle Duality: From Newton to Einstein. Alan E. Shapiro
Wave Particle Duality: From Newton to Einstein Alan E. Shapiro Huygens. Light Waves Christiaan Huygens, c. 1671 The Little Balls of the Aether Huygens Principle Refraction of a Plane Wave Double Refraction
More informationI am filled with sorrow all day long. A reading from the first book of Job 7:1-4, 6-7. R. (see 3a) Praise the Lord, who heals the brokenhearted.
[69] FIFTH SUNDAY IN ORDINARY TIME B FIRST READING I am filled with sorrow all day long. A reading from the first book of Job 7:1-4, 6-7 Job responded to his friend and said: Life on earth is slavery!
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 informationChap. 2. Polarization of Optical Waves
Chap. 2. Polarization of Optical Waves 2.1 Polarization States - Direction of the Electric Field Vector : r E = E xˆ + E yˆ E x x y ( ω t kz + ϕ ), E = E ( ωt kz + ϕ ) = E cos 0 x cos x y 0 y - Role :
More informationFourteen-color Photometry of M13 and Ruprecht 8 using the Dichroic-Mirror Camera (DMC)
Fourteen-color Photometry of M13 and Ruprecht 8 using the Dichroic-Mirror Camera (DMC) MASTER S THESIS A manuscript written as one requirement to obtain Master s degree from Institut Teknologi Bandung
More information6, Eigenvalues and Eigenvectors. = λx,
6, Eigenvalues and Eigenvectors The eigenvalue/eigenvector of an N N matrix A are defined as a scalar λ and a nonzero vector v satisfying A x = λx, (A λi)v =, (v ). the matrix [A λi] should be sigular,
More informationA story about anxiety and mindfulness. For a workbook on Mindfulness to go with this story. Please click this link BEE-LINDA S MINDFULNESS WORKBOOK
A story about anxiety and mindfulness For a workbook on Mindfulness to go with this story. Please click this link BEE-LINDA S MINDFULNESS WORKBOOK ELSA Support 2017 1 A story about anxiety and mindfulness
More informationGuided and defect modes in periodic dielectric waveguides
Fan et al. Vol. 12, No. 7/July 1995/J. Opt. Soc. Am. B 1267 Guided and defect modes in periodic dielectric waveguides Shanhui Fan, Joshua N. Winn, Adrian Devenyi, J. C. Chen, Robert D. Meade, and J. D.
More informationAn Analytical Study of the Weak Radiating Cell as a Passive Low Frequency Noise Control Device
An Analytical Study of the Weak Radiating Cell as a Passive Low Frequency Noise Control Device by Zachary T. Kitts Thesis submitted to the Faculty of the Virginia Polytechnic Institute and State University
More informationMODAL EXPANSION THEORIES FOR SINGLY - PERIODIC DIFFRACTION GRATINGS
MODAL EXPANSION THEORIES FOR SINGLY - PERIODIC DIFFRACTION GRATINGS by.r. Andrewartha, B.Sc.(Hons.), University of Tasmania A thesis submitted in fulfilment of the requirements for the degree of Doctor
More informationMeasurement Uncertainty
β HOW TO COMBINE Measurement Uncertainty WITH DIFFERENT UNITS OF μmeasurement By Rick Hogan 1 How to Combine Measurement Uncertainty With Different Units of Measure By Richard Hogan 2015 ISOBudgets LLC.
More informationSbSI Based Photonic Crystal Superlattices: Band Structure and Optics
Home Search Collections Journals About Contact us My IOPscience SbSI Based Photonic Crystal Superlattices: Structure and Optics This content has been downloaded from IOPscience. Please scroll down to see
More informationTheoretical Investigation of Transmission and Dispersion Properties of One Dimensional Photonic Crystal
Journal of Electrical and Electronic Engineering 2015; 3(2): 12-18 Published online March 10, 2015 (http://www.sciencepublishinggroup.com/j/jeee) doi: 10.11648/j.jeee.20150302.11 ISSN: 2329-1613 (Print);
More informationTHE STANDARD MODEL IN A NUTSHELL BY DAVE GOLDBERG DOWNLOAD EBOOK : THE STANDARD MODEL IN A NUTSHELL BY DAVE GOLDBERG PDF
Read Online and Download Ebook THE STANDARD MODEL IN A NUTSHELL BY DAVE GOLDBERG DOWNLOAD EBOOK : THE STANDARD MODEL IN A NUTSHELL BY DAVE Click link bellow and free register to download ebook: THE STANDARD
More informationStudent Questionnaire (s) Main Survey
School: Class: Student: Identification Label IEA Third International Mathematics and Science Study - Repeat Student Questionnaire (s) Main Survey TIMSS Study Center Boston College Chestnut Hill, MA 02467
More informationMultiparticle Entanglement and Interference in Cavity Quantum Electrodynamics
Multiparticle Entanglement and Interference in Cavity Quantum Electrodynamics A THESIS SUBMITTED TO GUJARAT UNIVERSITY for the degree of Doctor of Philosophy in Physics BY Pradyumna Kumar Pathak Quantum
More informationChap. 1 Fundamental Concepts
NE 2 Chap. 1 Fundamental Concepts Important Laws in Electromagnetics Coulomb s Law (1785) Gauss s Law (1839) Ampere s Law (1827) Ohm s Law (1827) Kirchhoff s Law (1845) Biot-Savart Law (1820) Faradays
More informationEVALUATION OF RADIATION DETECTOR SYSTEMS FOR MAMMOGRAPHY X-RAY UNITS. Risimati Dazmen Mavunda
EVALUATION OF RADIATION DETECTOR SYSTEMS FOR MAMMOGRAPHY X-RAY UNITS Risimati Dazmen Mavunda Submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, South Africa, in fulfillment
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 informationThe Lord Sends Quail Numbers 11:4-14, 31-34
Lesson 048 The Lord Sends Quail Numbers 11:4-14, 31-34 MEMORY VERSE PROVERBS 23:21 For the drunkard and the glutton w ill c om e to pov erty, and drowsiness will clothe a m an with rags. WHAT YOU WILL
More informationELECTRICITY AND MAGNETISM
THIRD EDITION ELECTRICITY AND MAGNETISM EDWARD M. PURCELL DAVID J. MORIN Harvard University, Massachusetts Щ CAMBRIDGE Ell UNIVERSITY PRESS Preface to the third edition of Volume 2 XIII CONTENTS Preface
More information