Essentials of nonlinear optics

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Hauptverfasser: Murti, Y. V. G. S. (VerfasserIn), Vijayan, C. (VerfasserIn)
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Sprache:English
Veröffentlicht: Chichester Wiley 2014
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adam_text Titel: Essentials of nonlinear optics Autor: Murti, Y. V. G. S Jahr: 2014 Contents 1 From Optics to Photonics 1 1.1 The Charm and Challenge of Photonics ....... 2 1.2 The Nature of Optical Nonlinearity.......... 3 1.3 Overcoming the Materials Bottleneck ........ 5 1.4 The Expanding Frontiers ............... 7 1.5 Explorations....................... 9 2 A Phenomenological View of Nonlinear Optics 11 2.1 Optics in the Nonlinear World............. 12 2.1.1 Introduction................... 12 2.1.2 First Order Susceptibility ........... 13 2.1.3 Second Order Susceptibility.......... 14 2.1.4 Third Order Susceptibility........... 14 2.2 Time Domain Response ................ 16 2.2.1 First Order Polarization- Time Domain Response ...................... 16 2.2.2 Higher Order Polarizations - Time Domain Response .................... 17 2.3 Frequency Domain Response.............. 19 2.3.1 First Order Susceptibility........... 19 2.3.2 Second Order Susceptibility..........20 2.3.3 General Order ( n ) Susceptibility........20 2.4 The n th order Polarization...............21 2.5 Monochromatic Waves.................21 2.6 Calculation of the Factor K ..............24 2.6.1 Optical Rectification..............24 2.6.2 Second Harmonic Generation.........24 2.6.3 Pockels Effect .................25 2.6.4 Sum and Difference Frequency generation . . 25 2.6.5 Third Harmonic Generation..........26 2.6.6 Nondegenerate Four Wave Mixing......26 2.7 Explorations................... 27 IX 3 Symmetry and Susceptibility Tensors 29 3.1 Introduction.......................30 3.2 Crystal Symmetry and Susceptibility Tensors .........................30 3.2.1 Neumann Principle...............35 3.2.2 Symmetry of Second Order Susceptibility ... 37 3.2.3 Second Harmonic Generation .........40 3.2.4 Kleinman Symmetry..............45 3.2.5 Symmetry of Third Order Susceptibility ... 45 3.3 The Dielectric Permittivity Tensor ..........47 3.4 The Refractive Index Ellipsoid.............50 3.5 Explorations.......................52 4 Calculation of Non-linear Susceptibilities 55 4.1 Introduction.......................56 4.1.1 Physical Quantities in Quantum Physics ... 56 4.1.2 The Projection Operator............57 4.2 The Equation of Motion................59 4.3 Ensembles of Particles.............. 60 4.4 Time-dependent Perturbation.............61 4.5 Dipolar Interaction...................63 4.6 First Order Density Matrix ..............65 4.7 Second Order Density Matrix.............66 4.8 Third Order Density Matrix..............67 4.9 Double Integrals in the Expressions for Density Matrix..........................68 4.10 Second Harmonic Susceptibility............70 4.11 Relaxation Effects....................71 4.12 Applications to Color Centers.............72 4.12.1 Third Order Susceptibility........... 72 4.12.2 Second Order Susceptibility..........74 4.13 Explorations.......................75 5 Nonlinear Wave Mixing Processes 77 5.1 Introduction.......................78 5.2 Elements of Electromagnetism.............78 5.3 Travelling Electromagnetic Waves in Free Space ... 81 5.3.1 Energy Density in the Travelling Wave .... 82 5.4 Propagation of Electromagnetic Waves in Linear Materials...................83 5.5 Propagation of Electromagnetic Waves in Nonlinear Materials ........................85 5.5.1 The Wave Equation...............85 5.5.2 Energy Transfer Rate..............86 5.6 Three Wave Mixing...................88 5.6.1 An Approximation...............89 5.7 Second Harmonic Generation .............91 5.7.1 Phase Matching Schemes............93 5.7.2 Accurate Treatment of Second Harmonic Generation ...................95 5.8 Explorations.......................98 6 Optical Phase Conjugation and Bistability 101 6.1 Optical Phase Conjugation...............102 6.1.1 Phase Conjugation as Time Reversal.....102 6.1.2 Phase Conjugation through Four-Wave-Mixing 104 6.1.3 Practical Realization..............107 6.1.4 Peculiar Properties of the Phase Conjugate Beam ......................109 6.1.5 The Grating Picture..............112 6.1.6 Applications of Phase Conjugation......113 6.2 Optical Bistability and Photonic Switching......114 6.2.1 Refractive Index at High Intensities : An Overview ..................114 6.2.2 Fabry-Perot Etalon...............117 6.2.3 Photonic Switching in a Nonlinear Fabry-Perot Etalon...............119 6.3 Explorations.......................123 7 Self Focusing, Phase Modulation and Pulse Shaping 125 7.1 Self Focusing of Light..................126 7.1.1 The Concept of Self Focusing.........126 7.1.2 Self Trapping and Spatial Solitons.......127 7.1.3 The z-scan Experiment.............129 7.1.4 Analysis of the z- scan Trace..........131 7.1.5 Measurement of Nonlinear Optical Absorption 133 7.1.6 Mechanisms of Nonlinear Absorption.....135 7.2 Self Phase Modulation (SPM).............137 7.3 Pulse Shaping and Optical Soliton Propagation.......................140 7.3.1 Solitary Waves and Optical Solitons......141 7.4 Explorations.......................143 8 Mechanisms and Materials 147 8.1 Introduction.......................148 8.2 Mechanisms of Nonlinearity..............149 8.2.1 Anharmonicity of Potential ..........149 8.2.2 Thermal Mechanism..............151 8.2.3 Orientational Mechanism............152 8.2.4 Inelastic Photon Scattering ..........153 8.2.5 Photorefractivity................153 8.2.6 Saturable Absorption..............156 8.2.7 Band Gap Distortion (Franz-Keldysh Effect) . 157 8.2.8 Band Filling Mechanism............157 8.2.9 Non-parabolicity of Bands...........158 8.2.10 Delocalization of Electrons...........159 8.3 A Perspective on Newer Materials and Processes ........................162 8.3.1 Low Dimensional Materials ..........162 8.3.2 Photonic Bandgap Materials..........167 8.3.3 Slowing of Light and the Effect on Nonlinearity 169 8.4 Explorations.......................171 Bibliography 173 References 175 Index 185
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record_format marc
spellingShingle Murti, Y. V. G. S.
Vijayan, C.
Essentials of nonlinear optics
Photonik (DE-588)4243979-6 gnd
Nichtlineare Optik (DE-588)4042096-6 gnd
subject_GND (DE-588)4243979-6
(DE-588)4042096-6
title Essentials of nonlinear optics
title_auth Essentials of nonlinear optics
title_exact_search Essentials of nonlinear optics
title_full Essentials of nonlinear optics Y. V. G. S. Murti ; C. Vijayan
title_fullStr Essentials of nonlinear optics Y. V. G. S. Murti ; C. Vijayan
title_full_unstemmed Essentials of nonlinear optics Y. V. G. S. Murti ; C. Vijayan
title_short Essentials of nonlinear optics
title_sort essentials of nonlinear optics
topic Photonik (DE-588)4243979-6 gnd
Nichtlineare Optik (DE-588)4042096-6 gnd
topic_facet Photonik
Nichtlineare Optik
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027574614&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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