PT-symmetry and Waveguides/ (3) Waveguides & Bragg structures
|
|
|
- Sherman Bond
- 5 years ago
- Views:
Transcription
1 PT-symmetry and Waveguides/ (3) Waveguides & Bragg structures Course 3 : Bragg with gain/loss (complex ) modulation Unidirectionality of plane-wave coupling History of gain-modulation (1970 s & 1990 s) Kulishov s proposals : single-sided mirrors, strange cavities, memories WGM lasers Fano & EIT 1 Band & coupling picture Another view of modulation : scattering Scattering picture [1] real index Re incident E field retardation Δl fwd scatt induced polarization Δ weak refl Δl 2
![Band & coupling picture Another view of modulation : scattering Scattering picture [1] real index.](/docs-images/89/100742355/images/2-1.jpg "Second half period Re incident E field weak refl Δl induced polarization Δ retardation Δl fwd scatt 3 Scattering and Bragg Re +Δl +Δl x=0 incident E field 0 2π Δ l Δl +π +π/2 +π/2 Δ l")
2 Band & coupling picture Another view of modulation : scattering Scattering picture [1] real index. Second half period Re incident E field weak refl Δl induced polarization Δ retardation Δl fwd scatt 3 Scattering and Bragg Re +Δl +Δl x=0 incident E field 0 2π Δ l Δl +π +π/2 +π/2 Δ l Δl Δ Δ Both half-period + phase x=0 retardation ~0 fwd scatt 4 weak refl 4Δl 4
3 Re Scattering and Bragg (real part) incident E field 0 2π +π/2 +π/2 +π Δ Δ retardation ~0 4 weak refl 4Δl fwd scatt Bragg period = Each half-period is a «radiator» Eigenmodes symmetry planes 5 Another view of modulation : scattering of abs/gain layer Scattering picture: [2] imaginary index abs αl gain incident E field induced polarization Δ Now in quadrature l No retardation Weak refl l l Attenuation 1αl fwd scatt 1 l 6
4 Bragg scattering of abs/gain layers abs gain incident E field 0 2π Δ αl x=0 +π/2 +π/2 l αl 1 Δ αl l αl Both half-period + phase x=0 retardation ~0 fwd scatt Weak refl αl ~No Attenuation (gain loss compensation) 7 Comparison of Re and Im scattering t 1st order, Only phase of changes fwd scatt fwd scatt retardation ~0 retardation ~0 What if we devise some clever combination??? 8
5 PT-symmetry and Waveguides / (3) Waveguides & Bragg structures Course 3 : Bragg with gain/loss (complex ) modulation Unidirectionality of plane-wave coupling History of gain-modulation (1970 s & 1990 s) Kulishov s proposals : single-sided mirrors, strange cavities, memories WGM lasers Fano & EIT 9 One-sided cancellation of Re and Im scattering retardation ~0 retardation ~0 reference plane Back-scattering ~0! + + by position shift & round-trip Position shift 10
6 «Single-sided scattering» + reference plane by position shift & round-trip Back-scattering ~0! + Position shift Re +Δl +Δl Δ l Δl Δ l Δl Im x=0 αl l 11 «Single-sided scattering» Re +Δl Δ l Back-scattering cancellation Im x=0 αl l Re Δ l +Δl Back-scattering enhancement Im x=0 αl l 12
7 «Single-sided scattering» in Fourier language Usual coupling constant of index grating: Δ Δ cos Δ Hence same coupling, = In more generality, coupling is complex but Δ Δ cos Δ phase here only means shift of grating position usual Fourier manipulation Single sided band means : But Δ cos sin Δ Δ Δ cos sin Δ 0 13 This is PT symmetry in the basic case What about PT symmetry In our basic implementation Re is symmetric and Im antisymmetric Re +Δl Δl Im x=0 αl αl 14
8 This is PT symmetry in more general case What about PT symmetry In a more general case Think of same Fourier rules as for signal processing k If x=0 is symm plane (to be checked) All vectors should be in the same plane 0 15 This is PT symmetry broken or not? Re Broken Unbroken Im since from on side at Bragg frequency? only for exact balance of and (cf. scattering picture). This is fully analogous to the case of merging eigenvalues Unbroken Broken 16
9 Behaviour expected around symmetry-breaking point From dip to peak in ) Unbroken Broken Passing through Rzero(one side) or Rmax (other side) ) Changes in group velocity ) 17 «Single-sided scattering» in (radio) Fourier language usual AM signal ω (carrier background ε) ω Single-side band signal (no redundant energy) (beating like) 18
10 Practical implementation Requires four different layers in layered materials 19 or two different gratings possible a «shape» and a «material» grating (for Re and Im resp.) 20
11 Practical implementation with tolerances Re +Δl Δl Im always <0 All ideal PT-Sym systems can be multiplied by exp average loss z to lower Im in negative-only territory (~ "Passive PT systems") 21 22
12 Transverse PT -symmetry Longitudinal PT -symmetry ε"( x) = ε "(x) PT-symmetry coupled waveguides PT-symmetry Bragg grating waveguide 23 PT-symmetry and Waveguides / (3) Waveguides & Bragg structures Examples Waveguide based Just planar 24
13 Reminder : Ruter First (non-passive PT) demonstration is transverse PT 25 Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies NATURE MATERIALS j VOL 12 j FEBRUARY 2013 p.108 Liang Feng1*(, Ye-Long Xu2(,William S. Fegadolli1,3,4(, Ming-Hui Lu2*, José E. B. Oliveira3, Vilson R. Almeida3,4, Yan-Feng Chen2 and Axel Scherer1 NATURE MATERIALS j VOL 12 j FEBRUARY
14 Transition between two dispersion branches -K -K-q K K-q q allowed ω forbidden No -q! -K K q 27 Passive PT Symmetry in Organic Composite Films via Complex Refractive Index Modulation Multilayer passive PT Yixin Yan and Noel C. Giebink * Adv. Optical Mater. 2014, DOI: /adom
15 Sliica/ SI structures! Multilayer passive PT 29 Temporal version of PT symmetry 30
16 PT-symmetry and Waveguides / (3) Waveguides & Bragg structures Course 3 : Bragg with gain/loss (complex ) modulation Unidirectionality of plane-wave coupling History of gain-modulation (1970 s & 1990 s) Kulishov s proposals : single-sided mirrors, strange cavities, memories WGM lasers Fano & EIT 31 Historical 1972 Kogelnik&Shank CMT paper : already gain DFB is there 32
17 And single mode lasing is obtained 33 Gain-coupled DFB the 90s come-back (ca : Nakano (NTT), Makino (ATT),..) 34
18 DFB laser with (some) gain periodic coupling 35 36
19 PT-symmetry and Waveguides / (3) Waveguides & Bragg structures Course 3 : Bragg with gain/loss (complex ) modulation Unidirectionality of plane-wave coupling History of gain-modulation (1970 s & 1990 s) Kulishov s proposals : single-sided mirrors, strange cavities, memories WGM lasers 37 38
20 First clear (theoretical) occurrence of Bragg nonreciprocal grating in optics 39 Use of Four-port devices, with memory in a loop 40
21 New cavity concept : PT mirrors from inside 41 Angular study of more complex gratings 42
22 PT-symmetry and Waveguides / (1) Waveguides & Bragg structures Course 3 : Bragg with gain/loss (complex ) modulation Unidirectionality of plane-wave coupling History of gain-modulation (1970 s & 1990 s) Kulishov s proposals : single-sided mirrors, strange cavities, memories WGM lasers Fano & EIT 43 Coupled Laser studies related to PT symmetry (beyond the caveat «infinite transmission») Bell Lab patent 1965 Tsang 1984 C3 laser (Coupled cavity laser) 44
23 Conceptually, the simplest case of PT-symmetry!? Symmetry-breaking scanned by means of Variable Coupling 45 PT-symmetry and Waveguides / (1) Waveguides & Bragg structures Course 3 : Bragg with gain/loss (complex ) modulation Unidirectionality of plane-wave coupling History of gain-modulation (1970 s & 1990 s) Kulishov s proposals : single-sided mirrors, strange cavities, memories WGM lasers Fano & EIT 46
24 The all-pass filter, aka «Gire-Tournois etalon», (a) FP with 100% mirror Gires-Tournois interferometer (b) incident wave Guide + ring incident wave straight guide reflected wave ring resonator (nearly lossless) Partial lossless mirror Perfect 100% mirror coupling zone partial mirror outgoing wave (c) Im(z) Airy function denominator z = 1 r 1 r 2 e iφ 0 1 dz/dφ quick phase evolution at resonance (1+r z= 1 r 2 ) 2 1 r1 r 2 e iφ Airy function Re(z) (d) Im(t ring ) slow (e) 2π arg(t ring ) slow quick Re(t ring ) π quick φ slow 0 slow Δφ <<2 π 47 Fano = 3 continuum ports + 1 resonance beam splitter 50/50 path 1 beam splitter 50/50 path 2 straight guide ring resonator resonant phase shift 48
25 Fano Resonant waveguide grating exc refl trans 49 Fano, Poles picture and CMT Bridging pole and coupled wave formalisms for grating waveguide resonance analysis and design synthesis Pietroy et al. OE, 15, 9831,
26 EIT (Electromagnetically Induced Transparency) (historically: a linear phenomenon of atom physics albeit a nonlinear optical phenomenon : lasers intensities are coupling constants for atoms) incident wave outgoing wave straight guide High Q ring ring resonator with large losses (e.g. absorbing, over coupled, ) KEY? equal transfers across lossy resonator: = 51 PT-symmetry and Waveguides / (3) Waveguides & Bragg structures Conclusion Microscopic view of Reflectivity-asymmetry in basic PT-symmetric Bragg structures Many possible implementations investigated (planar, guided, organics, semiconductors) Trove of concepts -from «PT outsiders», (e.g. Kulishov) - from metamaterials (here e.g. Jensen Li) - Around lasing and coupled lasers (thus good scientific «friction») 52
Time Domain Modeling of All-Optical Switch based on PT-Symmetric Bragg Grating
Time Domain Modeling of All-Optical Switch based on PT-Symmetric Bragg Grating Sendy Phang 1, Ana Vukovic 1, Hadi Susanto 2, Trevor M. Benson 1, and Phillip Sewell 1 1 School of Electrical and Electronic
Controlling Light at Exceptional Points
Controlling Light at Exceptional Points Bo Peng Sahin Kaya Ozdemir Micro/Nano-Photonics Lab. Electrical & Systems Engineering, Washington University, St. Louis, USA In collaboration with L. Yang and C.
ECE 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
Diode Lasers and Photonic Integrated Circuits
Diode Lasers and Photonic Integrated Circuits L. A. COLDREN S. W. CORZINE University of California Santa Barbara, California A WILEY-INTERSCIENCE PUBLICATION JOHN WILEY & SONS, INC. NEW YORK / CHICHESTER
Part 1: Fano resonances Part 2: Airy beams Part 3: Parity-time symmetric systems
Lecture 3 Part 1: Fano resonances Part 2: Airy beams Part 3: Parity-time symmetric systems Yuri S. Kivshar Nonlinear Physics Centre, Australian National University, Canberra, Australia http://wwwrsphysse.anu.edu.au/nonlinear/
3.5 Cavities Cavity modes and ABCD-matrix analysis 206 CHAPTER 3. ULTRASHORT SOURCES I - FUNDAMENTALS
206 CHAPTER 3. ULTRASHORT SOURCES I - FUNDAMENTALS which is a special case of Eq. (3.30. Note that this treatment of dispersion is equivalent to solving the differential equation (1.94 for an incremental
Sub-wavelength electromagnetic structures
Sub-wavelength electromagnetic structures Shanhui Fan, Z. Ruan, L. Verselegers, P. Catrysse, Z. Yu, J. Shin, J. T. Shen, G. Veronis Ginzton Laboratory, Stanford University http://www.stanford.edu/group/fan
Exploiting duality using metamaterials
Exploiting duality using metamaterials Jensen Li School of Physics and Astronomy, University of Birmingham, UK Jan 12, 2015 Metamaterials with magnetic response Interesting physics by pairing up electric
3.1 The Plane Mirror Resonator 3.2 The Spherical Mirror Resonator 3.3 Gaussian modes and resonance frequencies 3.4 The Unstable Resonator
Quantum Electronics Laser Physics Chapter 3 The Optical Resonator 3.1 The Plane Mirror Resonator 3. The Spherical Mirror Resonator 3.3 Gaussian modes and resonance frequencies 3.4 The Unstable Resonator
1.A Periodicity (for electrons)
PT-symmetry and Waveguides / (1) Waveguides & Bragg structures Henri BENISTY Laboratoire Charles Fabry Institut d Optique Graduate School Palaiseau, France [south of Paris].. Now part of a big «cluster»
Recently, the coexistence of parity-time (PT) symmetric laser and absorber has gained
Article type: Original Paper Experimental demonstration of PT-symmetric stripe lasers Zhiyuan Gu 1,, Nan Zhang 1,, Quan Lyu 1,, Meng Li 1, Ke Xu 1, Shumin Xiao 2 1, 3, *, Qinghai Song *Corresponding Author:
PRINCIPLES 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
1 The formation and analysis of optical waveguides
1 The formation and analysis of optical waveguides 1.1 Introduction to optical waveguides Optical waveguides are made from material structures that have a core region which has a higher index of refraction
Distributed 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
Optical Spectroscopy of Advanced Materials
Phys 590B Condensed Matter Physics: Experimental Methods Optical Spectroscopy of Advanced Materials Basic optics, nonlinear and ultrafast optics Jigang Wang Department of Physics, Iowa State University
sgsp agsp W=20nm W=50nm Re(n eff (e) } Re{E z Im{E x Supplementary Figure 1: Gap surface plasmon modes in MIM waveguides.
(a) 2.4 (b) (c) W Au y Electric field (a.u) x SiO 2 (d) y Au sgsp x Energy (ev) 2. 1.6 agsp W=5nm W=5nm 1.2 1 2 3 4.1.1 1 1 Re(n eff ) -1-5 5 1 x (nm) W = 2nm E = 2eV Im{E x } Re{E z } sgsp Electric field
34. Even more Interference Effects
34. Even more Interference Effects The Fabry-Perot interferometer Thin-film interference Anti-reflection coatings Single- and multi-layer Advanced topic: Photonic crystals Natural and artificial periodic
Electromagnetic 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
Step index planar waveguide
N. Dubreuil S. Lebrun Exam without document Pocket calculator permitted Duration of the exam: 2 hours The exam takes the form of a multiple choice test. Annexes are given at the end of the text. **********************************************************************************
LIST OF TOPICS BASIC LASER PHYSICS. Preface xiii Units and Notation xv List of Symbols xvii
ate LIST OF TOPICS Preface xiii Units and Notation xv List of Symbols xvii BASIC LASER PHYSICS Chapter 1 An Introduction to Lasers 1.1 What Is a Laser? 2 1.2 Atomic Energy Levels and Spontaneous Emission
Tunable metasurfaces via subwavelength phase shifters. with uniform amplitude
Tunable metasurfaces via subwavelength phase shifters with uniform amplitude Shane Colburn 1, Alan Zhan 2, and Arka Majumdar 1,2 1 Department of Electrical Engineering, University of Washington, Seattle.
A tutorial on meta-materials and THz technology
p.1/49 A tutorial on meta-materials and THz technology Thomas Feurer thomas.feurer@iap.unibe.ch Institute of Applied Physics Sidlerstr. 5, 3012 Bern Switzerland p.2/49 Outline Meta-materials Super-lenses
Solitons. Nonlinear pulses and beams
Solitons Nonlinear pulses and beams Nail N. Akhmediev and Adrian Ankiewicz Optical Sciences Centre The Australian National University Canberra Australia m CHAPMAN & HALL London Weinheim New York Tokyo
Non-linear Optics II (Modulators & Harmonic Generation)
Non-linear Optics II (Modulators & Harmonic Generation) P.E.G. Baird MT2011 Electro-optic modulation of light An electro-optic crystal is essentially a variable phase plate and as such can be used either
Refractive Index Measurement by Gain- or Loss-Induced Resonance
Refractive Index Measurement by Gain- or Loss-Induced Resonance 59 Refractive Index Measurement by Gain- or Loss-Induced Resonance Markus Miller Using a semiconductor optical resonator consisting of a
Liquid 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.
Design 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
Introduction to Photonic Crystals
1 Introduction to Photonic Crystals Summary. Chapter 1 gives a brief introduction into the basics of photonic crystals which are a special class of optical media with periodic modulation of permittivity.
Electromagnetic Metamaterials
Photonic Bandgap and Electromagnetic Metamaterials Andrew Kirk andrew.kirk@mcgill.ca ca Department of Electrical and Computer Engineering McGill Institute for Advanced Materials A Kirk 11/24/2008 Photonic
arxiv: v2 [physics.optics] 14 Aug 2017
![arxiv: v2 [physics.optics] 14 Aug 2017](/thumbs/84/89150443.jpg "arxiv: v2 [physics.optics] 14 Aug 2017")
Coherent perfect absorbers: linear control of light with light arxiv:1706.03694v2 [physics.optics] 14 Aug 2017 Denis G. Baranov, 1, 2, 3, Alex Krasnok, 4 Timur Shegai, 1 Andrea Alù, 4 and Y. D. Chong 5,
Surface Plasmon-polaritons on thin metal films - IMI (insulator-metal-insulator) structure -
Surface Plasmon-polaritons on thin metal films - IMI (insulator-metal-insulator) structure - Dielectric 3 Metal 2 Dielectric 1 References Surface plasmons in thin films, E.N. Economou, Phy. Rev. Vol.182,
Gratings in Electrooptic Polymer Devices
Gratings in Electrooptic Polymer Devices Venkata N.P.Sivashankar 1, Edward M. McKenna 2 and Alan R.Mickelson 3 Department of Electrical and Computer Engineering, University of Colorado at Boulder, Boulder,
Electromagnetic Theory for Microwaves and Optoelectronics
Keqian Zhang Dejie Li Electromagnetic Theory for Microwaves and Optoelectronics Translated by authors With 259 Figures Springer Contents 1 Basic Electromagnetic Theory 1 1.1 Maxwell's Equations 1 1.1.1
POLARIZATION OF LIGHT
POLARIZATION OF LIGHT OVERALL GOALS The Polarization of Light lab strongly emphasizes connecting mathematical formalism with measurable results. It is not your job to understand every aspect of the theory,
General Appendix A Transmission Line Resonance due to Reflections (1-D Cavity Resonances)
A 1 General Appendix A Transmission Line Resonance due to Reflections (1-D Cavity Resonances) 1. Waves Propagating on a Transmission Line General A transmission line is a 1-dimensional medium which can
4. Integrated Photonics. (or optoelectronics on a flatland)
4. Integrated Photonics (or optoelectronics on a flatland) 1 x Benefits of integration in Electronics: Are we experiencing a similar transformation in Photonics? Mach-Zehnder modulator made from Indium
Photonic Crystals. Introduction
Photonic Crystals Introduction Definition Photonic crystals are new, artificialy created materials, in which refractive index is periodically modulated in a scale compared to the wavelength of operation.
Optics, 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
1. Consider the biconvex thick lens shown in the figure below, made from transparent material with index n and thickness L.
Optical Science and Engineering 2013 Advanced Optics Exam Answer all questions. Begin each question on a new blank page. Put your banner ID at the top of each page. Please staple all pages for each individual
Chapter 5. Photonic Crystals, Plasmonics, and Metamaterials
Chapter 5. Photonic Crystals, Plasmonics, and Metamaterials Reading: Saleh and Teich Chapter 7 Novotny and Hecht Chapter 11 and 12 1. Photonic Crystals Periodic photonic structures 1D 2D 3D Period a ~
Angular and polarization properties of a photonic crystal slab mirror
Angular and polarization properties of a photonic crystal slab mirror Virginie Lousse 1,2, Wonjoo Suh 1, Onur Kilic 1, Sora Kim 1, Olav Solgaard 1, and Shanhui Fan 1 1 Department of Electrical Engineering,
10. OPTICAL COHERENCE TOMOGRAPHY
1. OPTICAL COHERENCE TOMOGRAPHY Optical coherence tomography (OCT) is a label-free (intrinsic contrast) technique that enables 3D imaging of tissues. The principle of its operation relies on low-coherence
School of Electrical and Computer Engineering, Cornell University. ECE 5330: Semiconductor Optoelectronics. Fall Due on Nov 20, 2014 by 5:00 PM
School of Electrical and Computer Engineering, Cornell University ECE 533: Semiconductor Optoelectronics Fall 14 Homewor 8 Due on Nov, 14 by 5: PM This is a long -wee homewor (start early). It will count
Circularly polarized thermal emission from chiral metasurface in the absence of magnetic field
Journal of Physics: Conference Series PAPER OPEN ACCESS Circularly polarized thermal emission from chiral metasurface in the absence of magnetic field To cite this article: S.A. Dyakov et al 2018 J. Phys.:
Laser Optics-II. ME 677: Laser Material Processing Instructor: Ramesh Singh 1
Laser Optics-II 1 Outline Absorption Modes Irradiance Reflectivity/Absorption Absorption coefficient will vary with the same effects as the reflectivity For opaque materials: reflectivity = 1 - absorptivity
External (differential) quantum efficiency Number of additional photons emitted / number of additional electrons injected
Semiconductor Lasers Comparison with LEDs The light emitted by a laser is generally more directional, more intense and has a narrower frequency distribution than light from an LED. The external efficiency
Invisible Random Media And Diffraction Gratings That Don't Diffract
Invisible Random Media And Diffraction Gratings That Don't Diffract 29/08/2017 Christopher King, Simon Horsley and Tom Philbin, University of Exeter, United Kingdom, email: cgk203@exeter.ac.uk webpage:
Resonant modes and laser spectrum of microdisk lasers. N. C. Frateschi and A. F. J. Levi
Resonant modes and laser spectrum of microdisk lasers N. C. Frateschi and A. F. J. Levi Department of Electrical Engineering University of Southern California Los Angeles, California 90089-1111 ABSTRACT
Electromagnetic 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
Chapter9. Amplification of light. Lasers Part 2
Chapter9. Amplification of light. Lasers Part 06... Changhee Lee School of Electrical and Computer Engineering Seoul National Univ. chlee7@snu.ac.kr /9 9. Stimulated emission and thermal radiation The
CHAPTER 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
Lecture 10: Surface Plasmon Excitation. 5 nm
Excitation Lecture 10: Surface Plasmon Excitation 5 nm Summary The dispersion relation for surface plasmons Useful for describing plasmon excitation & propagation This lecture: p sp Coupling light to surface
Nanoscale optical circuits: controlling light using localized surface plasmon resonances
Nanoscale optical circuits: controlling light using localized surface plasmon resonances T. J. Davis, D. E. Gómez and K. C. Vernon CSIRO Materials Science and Engineering Localized surface plasmon (LSP)
Temporal modulation instabilities of counterpropagating waves in a finite dispersive Kerr medium. II. Application to Fabry Perot cavities
Yu et al. Vol. 15, No. 2/February 1998/J. Opt. Soc. Am. B 617 Temporal modulation instabilities of counterpropagating waves in a finite dispersive Kerr medium. II. Application to Fabry Perot cavities M.
Nanomaterials and their Optical Applications
Nanomaterials and their Optical Applications Winter Semester 2013 Lecture 02 rachel.grange@uni-jena.de http://www.iap.uni-jena.de/multiphoton Lecture 2: outline 2 Introduction to Nanophotonics Theoretical
Lasers and Electro-optics
Lasers and Electro-optics Second Edition CHRISTOPHER C. DAVIS University of Maryland III ^0 CAMBRIDGE UNIVERSITY PRESS Preface to the Second Edition page xv 1 Electromagnetic waves, light, and lasers 1
Fiber Gratings p. 1 Basic Concepts p. 1 Bragg Diffraction p. 2 Photosensitivity p. 3 Fabrication Techniques p. 4 Single-Beam Internal Technique p.
Preface p. xiii Fiber Gratings p. 1 Basic Concepts p. 1 Bragg Diffraction p. 2 Photosensitivity p. 3 Fabrication Techniques p. 4 Single-Beam Internal Technique p. 4 Dual-Beam Holographic Technique p. 5
PT-symmetry and Waveguides / (2) The transverse case. Course 2 : PT symmetry basics : the transverse case
PT-symmetry and Waveguides / () The transverse case Course : PT symmetry basics : the transverse case Imperfect PT symmetry [ plasmonics] Application example : switching below the exceptional point From
Introduction Fundamentals of laser Types of lasers Semiconductor lasers
Introduction Fundamentals of laser Types of lasers Semiconductor lasers Is it Light Amplification and Stimulated Emission Radiation? No. So what if I know an acronym? What exactly is Light Amplification
SUPPLEMENTARY FIGURES
SUPPLEMENTARY FIGURES Supplementary Figure 1. Projected band structures for different coupling strengths. (a) The non-dispersive quasi-energy diagrams and (b) projected band structures for constant coupling
by applying two pairs of confocal cylindrical lenses
Title:Design of optical circulators with a small-aperture Faraday rotator by applying two pairs of confocal Author(s): Yung Hsu Class: 2nd year of Department of Photonics Student ID: M0100579 Course: Master
The textbook used in this module is: Photonics and Laser: An Introduction by R.S. Quimby
PH 2601: Introduction to Laser Final Examination 2010/2011 The textbook used in this module is: Photonics and Laser: An Introduction by R.S. Quimby By: Yonathan Priambada (yona0004@e.ntu.edu.sg) 1) A)Three
Where are the Fringes? (in a real system) Div. of Amplitude - Wedged Plates. Fringe Localisation Double Slit. Fringe Localisation Grating
Where are the Fringes? (in a real system) Fringe Localisation Double Slit spatial modulation transverse fringes? everywhere or well localised? affected by source properties: coherence, extension Plane
Frequency and time... dispersion-cancellation, etc.
Frequency and time... dispersion-cancellation, etc. (AKA: An old experiment of mine whose interpretation helps illustrate this collapse-vs-correlation business, and which will serve as a segué into time
Symmetry Breaking and Optical Negative Index of Closed Nanorings
Supplementary Information Symmetry Breaking and Optical Negative Index of Closed Nanorings Boubacar Kanté 1, Yong-Shik Park 1, Kevin O Brien 1, Daniel Shuldman 1, Norberto D. Lanzillotti Kimura 1, Zi Jing
Homework 3. 1 Coherent Control [22 pts.] 1.1 State vector vs Bloch vector [8 pts.]
![Homework 3. 1 Coherent Control [22 pts.] 1.1 State vector vs Bloch vector [8 pts.]](/thumbs/95/125325883.jpg "Homework 3. 1 Coherent Control [22 pts.] 1.1 State vector vs Bloch vector [8 pts.]")
Homework 3 Contact: jangi@ethz.ch Due date: December 5, 2014 Nano Optics, Fall Semester 2014 Photonics Laboratory, ETH Zürich www.photonics.ethz.ch 1 Coherent Control [22 pts.] In the first part of this
A RIGOROUS TWO-DIMENSIONAL FIELD ANALYSIS OF DFB STRUCTURES
Progress In Electromagnetics Research, PIER 22, 197 212, 1999 A RIGOROUS TWO-DIMENSIONAL FIELD ANALYSIS OF DFB STRUCTURES M. Akbari, M. Shahabadi, and K. Schünemann Arbeitsbereich Hochfrequenztechnik Technische
Laser Basics. What happens when light (or photon) interact with a matter? Assume photon energy is compatible with energy transition levels.
What happens when light (or photon) interact with a matter? Assume photon energy is compatible with energy transition levels. Electron energy levels in an hydrogen atom n=5 n=4 - + n=3 n=2 13.6 = [ev]
Modeling 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
Optical and Photonic Glasses. Lecture 37. Non-Linear Optical Glasses I - Fundamentals. Professor Rui Almeida
Optical and Photonic Glasses : Non-Linear Optical Glasses I - Fundamentals Professor Rui Almeida International Materials Institute For New Functionality in Glass Lehigh University Non-linear optical glasses
Optics, Light and Lasers
Dieter Meschede Optics, Light and Lasers The Practical Approach to Modern Aspects of Photonics and Laser Physics Second, Revised and Enlarged Edition BICENTENNIAL.... n 4 '':- t' 1 8 0 7 $W1LEY 2007 tri
Propagation of Photons Through Localized Coupled Cavity Modes in Photonic Band Gap Structures:
CLEO, May 7-12, 7 2000, San Francisco Propagation of Photons Through Localized Coupled Cavity Modes in Photonic Band Gap Structures: A New Type of Waveguiding Mechanism Mehmet Bayındır Burak Temelkuran
ORE Open Research Exeter
ORE Open Research Exeter TITLE The resonant electromagnetic fields of an array of metallic slits acting as Fabry-Perot cavities AUTHORS Hibbins, Alastair P.; Lockyear, Matthew J.; Sambles, J. Roy JOURNAL
Squeezing manipulation with atoms
Squeezing manipulation with atoms Eugeniy E. Mikhailov The College of William & Mary March 21, 2012 Eugeniy E. Mikhailov (W&M) Squeezing manipulation LSC-Virgo (March 21, 2012) 1 / 17 About the college
Dr. Tao Li
Tao Li taoli@nju.edu.cn Nat. Lab. of Solid State Microstructures Department of Materials Science and Engineering Nanjing University Concepts Basic principles Surface Plasmon Metamaterial Summary Light
MURI teleconference 28 May Optical Antimatter. John Pendry and Sebastien Guenneau Imperial College London. 24 May 2004 page 1
24 May 2004 page 1 MURI teleconference 28 May 2004 Optical Antimatter John Pendry and Sebastien Guenneau Imperial College London 05 March 2004 page 2 A Conventional Lens Contributions of the far field
Derivation of Eigen value Equation by Using Equivalent Transmission Line method for the Case of Symmetric/ Asymmetric Planar Slab Waveguide Structure
ISSN 0974-9373 Vol. 15 No.1 (011) Journal of International Academy of Physical Sciences pp. 113-1 Derivation of Eigen value Equation by Using Equivalent Transmission Line method for the Case of Symmetric/
Metamaterial-Induced
Metamaterial-Induced Sharp ano Resonances and Slow Light Nikitas Papasimakis and Nikolay I. Zheludev Inspired by the study of atomic resonances, researchers have developed a new type of metamaterial. Their
Research 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,
The observation of super-long range surface plasmon polaritons modes and its application as sensory devices
The observation of super-long range surface plasmon polaritons modes and its application as sensory devices X. -L. Zhang, 1,2 J. -F. Song, 1,2,3,4 G. Q. Lo, 2 and D. -L. Kwong 2 1 State Key Laboratory
MODELING OF ABOVE-THRESHOLD SINGLE-MODE OPERATION OF EDGE- EMITTING DIODE LASERS
MODELING OF ABOVE-THRESHOLD SINGLE-MODE OPERATION OF EDGE- EMITTING DIODE LASERS A. P. Napartovich, N. N. Elkin, A. G. Sukharev, V. N. Troshchieva, and D. V. Vysotsky Troitsk Institute for Innovation and
Edward S. Rogers Sr. Department of Electrical and Computer Engineering. ECE318S Fundamentals of Optics. Final Exam. April 16, 2007.
Edward S. Rogers Sr. Department of Electrical and Computer Engineering ECE318S Fundamentals of Optics Final Exam April 16, 2007 Exam Type: D (Close-book + two double-sided aid sheets + a non-programmable
Electromagnetic Waves
Electromagnetic Waves Our discussion on dynamic electromagnetic field is incomplete. I H E An AC current induces a magnetic field, which is also AC and thus induces an AC electric field. H dl Edl J ds
Supplementary Information
S1 Supplementary Information S2 Forward Backward Forward Backward Normalized to Normalized to Supplementary Figure 1 Maximum local field ratio and transmission coefficient. Maximum local field ratio (green
The physics of the perfect lens
The physics of the perfect lens J.B. Pendry and S.A. Ramakrishna, The Blackett Laboratory, Imperial College, London MURI-Teleconference #2 Pendry s proposal for a perfect lens Consider Veselago s slab
Progress Report on the A4 Compton Backscattering Polarimeter
A4 Progress Report on the A4 Compton Backscattering Polarimeter Yoshio Imai, Institut für Kernphysik, Universität Mainz 8.6.24 International Workshop on Parity Violation and Hadronic Structure, LPSC Grenoble
5.74 Introductory Quantum Mechanics II
MIT OpenCourseWare http://ocw.mit.edu 5.74 Introductory Quantum Mechanics II Spring 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. p. 10-0 10..
Guided 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.
Overview - Previous lecture 1/2
Overview - Previous lecture 1/2 Derived the wave equation with solutions of the form We found that the polarization of the material affects wave propagation, and found the dispersion relation ω(k) with
Research Article Trapped-Mode Resonance Regime of Thin Microwave Electromagnetic Arrays with Two Concentric Rings in Unit Cell
Microwave Science and Technology Volume 2, Article ID 3688, 6 pages doi:.55/2/3688 Research Article Trapped-Mode Resonance Regime of Thin Microwave Electromagnetic Arrays with Two Concentric Rings in Unit
Nanomaterials 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
Interference. Part-2. Gambar: Museum Victoria Australia
Interference Part-2 Gambar: Museum Victoria Australia Amplitude Splitting Interferometer S 2. Michelson Interferometer The principle: amplitude splitting d HM D F B M1 Detector C M1 E Interference at F
The laser oscillator. Atoms and light. Fabry-Perot interferometer. Quiz
toms and light Introduction toms Semi-classical physics: Bohr atom Quantum-mechanics: H-atom Many-body physics: BEC, atom laser Light Optics: rays Electro-magnetic fields: Maxwell eq. s Quantized fields:
The Dielectric Function of a Metal ( Jellium )
The Dielectric Function of a Metal ( Jellium ) Total reflection Plasma frequency p (10 15 Hz range) Why are Metals Shiny? An electric field cannot exist inside a metal, because metal electrons follow the
The Compton backscattering Polarimeter of the A4 Experiment
A4 The Compton backscattering Polarimeter of the A4 Experiment Yoshio Imai Institut für Kernphysik, Universität Mainz Polarimeter Group: J. Diefenbach, Y. Imai, J. Lee, M. Sikora, S. Taylor 07.10.2004
Effect of nonlinearity on wave scattering and localization. Yuri S. Kivshar
Effect of nonlinearity on wave scattering and localization Yuri S. Kivshar Nonlinear Physics Centre, Australian National University, Canberra, Australia St. Petersburg University of Information Technologies,
The laser oscillator. Atoms and light. Fabry-Perot interferometer. Quiz
toms and light Introduction toms Semi-classical physics: Bohr atom Quantum-mechanics: H-atom Many-body physics: BEC, atom laser Light Optics: rays Electro-magnetic fields: Maxwell eq. s Quantized fields:
Wavelength switchable flat-top all-fiber comb filter based on a double-loop Mach-Zehnder interferometer
Wavelength switchable flat-top all-fiber comb filter based on a double-loop Mach-Zehnder interferometer Ai-Ping Luo, Zhi-Chao Luo,, Wen-Cheng Xu,, * and Hu Cui Laboratory of Photonic Information Technology,
ECE 240a - Notes on Spontaneous Emission within a Cavity
ECE 0a - Notes on Spontaneous Emission within a Cavity Introduction Many treatments of lasers treat the rate of spontaneous emission as specified by the time constant τ sp as a constant that is independent
1 Longitudinal modes of a laser cavity
Adrian Down May 01, 2006 1 Longitudinal modes of a laser cavity 1.1 Resonant modes For the moment, imagine a laser cavity as a set of plane mirrors separated by a distance d. We will return to the specific