Nonlinear optics: principles and applications
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
CRC Press
2015
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| Series: | Optical sciences and applications of light
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| Subjects: | |
| Online Access: | Klappentext Inhaltsverzeichnis |
| Physical Description: | XXVII, 321 S. graph. Darst. |
| ISBN: | 9781466565821 |
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| adam_text | PRINCIPLES ANO
APPLICATIONS
Nonlinear Optics
This book provides the essential mathematical formalisms and physical descrip-
tions necessary for the understanding of underlying principles of nonlinear optics,
from nonlinear wave propagation in dielectric media to crystal optics, nonlinear
optical processes, and devices. The book is suitable for a broad readership, from
newcomers to nonlinear optics to those more intimately familiar with the topic who
wish to further strengthen their knowledge and their formal mathematical founda-
tions of nonlinear optics. ...The book is well written, logically organized, and easy
to follow, which helps the reader gain an in-depth understanding of nonlinear
optical phenomena.
—Professor Majid Ebrahim-Zadeh, ICFO-The Institute of Photonic Sciences,
Barcelona, Spain
Explore the Fundamental Aspects of Nonlinear Optics
As nonlinear optics further develops as a field of research in electromagnetic
wave propagation, its state-of-the-art technologies will continue to strongly
impact real-world applications in a variety of fields useful to the practicing
scientist and engineer. From basic principles to examples of applications,
Nonlinear Optics: Principles and Applications effectively bridges physics
and mathematics with relevant applied material for real-world use. The book
progresses naturally from fundamental aspects to illustrative examples, and
presents a strong theoretical foundation that equips the reader with enough
knowledge to recognize, understand, and evaluate nonlinear optical phenomena.
Structured so that the first five chapters are dedicated to the description of the
fundamental formalism of nonlinear optics, and the last five chapters are devoted
to a description of practical devices based on nonlinear phenomena, it describes
nonlinear wave propagation in bulk and in waveguiding structures, and includes
specific examples of applied nonlinear wave propagation through crystals,
optical waveguides, and optical fibers. Providing a theoretical description of
nonlinear interaction between light and matter, this text focuses on the physical
understanding of nonlinear optics, and explores optical material response
functions in the time and frequency domain.
Nonlinear Optics: Principles and Applications describes the fundamental
aspects of nonlinear optics and serves as a reference for nonlinear optics
professionals as well as graduate students specializing in nonlinear optics.
Contents,
Series Preface xi
Preface xiii
Acknowledgements xv
Scope and structure xvii
Authors xxvii
1 Introduction 1
1.1 Review of linear optics.......................................... 3
1.1.1 Maxwell’s equations....................................... 4
1.1.2 Boundary conditions....................................... 6
1.1.3 Wave equation in lossless linear materials................ 7
1.1.4 Power.................................................... 11
1.1.5 Harmonically time varying fields......................... 12
1.1.6 Polarization state of the electric field................. 15
1.1.7 Jones vector............................................. 21
1.1.8 Superposition of circularly polarized light.............. 21
1.2 Induced polarization............................................ 22
1.2.1 Dipole in external field............................... 23
1.2.2 Torque on a dipole in external field..................... 24
1.2.3 The electric field from a ‘point’ dipole................. 25
1.3 Harmonic oscillator model....................................... 26
1.3.1 Simple classical harmonic oscillator..................... 26
1.3.2 Forced classical harmonic oscillator..................... 27
1.3.3 Forced an-harmonic oscillator............................ 28
1.4 Local field corrections......................................... 31
1.5 Estimated nonlinear response.................................... 31
1.5.1 Electronic response...................................... 31
1.5.2 Miller’s rule............................................ 34
1.5.3 Intra-molecular response................................. 35
1.5.4 Other contributions ..................................... 36
v
vi Contents
1.6 Summary........................................................... 38
2 Time-domain material response 39
2.1 The polarization time-response function........................... 40
2.1.1 The linear response function .............................. 40
2.1.2 The quadratic response function............................ 42
2.1.3 Higher-order response function............................. 44
2.2 The Born-Oppenheimer approximation*............................... 45
2.2.1 First-order polarization .................................. 51
2.2.2 Third-order polarization................................... 53
2.2.3 Time-domain response for cubic and isotropic materials ... 57
2.3 Raman scattering response function of silica...................... 59
2.4 Summary........................................................... 62
3 Material response in the frequency domain, susceptibility tensors 63
3.1 The susceptibility tensor......................................... 64
3.1.1 First-order susceptibility tensor.......................... 64
3.1.2 Second-order susceptibility tensor......................... 66
3.1.3 Higher-order susceptibility tensor......................... 67
3.2 The induced polarization in the frequency domain ................. 68
3.3 Sum of monochromatic fields....................................... 68
3.4 The prefactor to the induced polarization......................... 70
3.5 Third-order polarization in the Born-Oppenheimer
approximation in the frequency domain............................. 73
3.6 Kramers-Kronig relations.......................................... 80
3.6.1 Kramers-Kronig relations in linear optics ................. 81
3.6.2 Kramers-Kronig relations in nonlinear optics............... 82
3.7 Summary........................................................... 85
4 Symmetries in nonlinear optics 87
4.1 Spatial symmetries................................................ 89
4.1.1 Crystal classes/Nomenclature............................... 90
4.1.2 Neumann principle.......................................... 92
4.2 Second-order materials............................................ 93
4.3 Third-order nonlinear materials................................... 97
4.3.1 Isotropic materials........................................100
4.4 Cyclic coordinate-system..........................................101
4.4.1 Linear optics..............................................102
4.4.2 Higher-order tensors.......................................102
4.5 Contracted notation for second-order susceptibility tensors*......106
4.5.1 Second-harmonic generation.................................106
4.6 Summary...........................................................108
Contents
vii
5 The nonlinear wave equation 109
5.1 Mono and quasi-monochromatic beams.................................Ill
5.1.1 Sum of monochromatic fields..................................Ill
5.1.2 Quasi-monochromatic light....................................112
5.2 Plane waves—the transverse problem.................................114
5.2.1 The intensity dependent refractive index (—u; cj, —u;,u;) . 114
5.2.2 Manley-Rowe relations .......................................117
5.3 Waveguides.........................................................120
5.3.1 Effective linear induced polarization........................121
5.3.2 Perturbation*................................................124
5.4 Vectorial approach.................................................125
5.5 Nonlinear birefringence............................................128
5.6 Summary............................................................131
6 Second-order nonlinear effects 133
6.1 General theory.....................................................134
6.2 Coupled wave theory................................................135
6.3 Phase mismatch and acceptance bandwidths...........................139
6.3.1 Biréfringent phase matching..................................140
6.3.2 Quasi-phase matching.........................................142
6.4 Second-harmonic generation (SHG) x^(—2cü;6ü,u;)....................144
6.4.1 Conversion efficiencies of second-harmonic generation .... 145
6.4.2 SHG conversion efficiency in the weak coupling regime .... 146
6.5 Non-degenerate parametric frequency conversion.....................147
6.5.1 Sum-frequency generation 0*3;a i, W2)................147
6.6 Difference-frequency generation X^(— ^’3; u i, —^2)................149
6.6.1 Optical parametric oscillators...............................151
6.7 Frequency conversion of focused Gaussian beams* ...................152
6.8 Electro optic effects x^(—cji;0,cüi) ..............................156
6.9 Summary............................................................162
7 Raman scattering 163
7.1 Physical description ..............................................164
7.1.1 Electromagnetic description, applying dipole theory.165
7.1.2 Quantum mechanical description...............................167
7.2 Amplitude equations................................................170
7.2.1 Pump and signal having well defined states of polarization . . 172
7.2.2 Un-polarized pump or signal .................................174
7.3 Fundamental characteristics of silica..............................175
7.3.1 Susceptibility...............................................175
7.3.2 Response function............................................177
7.4 The Raman fiber amplifier..........................................179
7.4.1 Simple model.................................................181
7.4.2 Fiber-dependence.............................................184
viii Contents
7.4.3 Polarization dependence...................................185
7.5 Summary..........................................................188
8 Brillouin Scattering 189
8.1 Introduction.......................................................190
8.1.1 Acoustic wave.............................................191
8.1.2 Optical and acoustical phonons..............................192
8.1.3 Transverse and longitudinal acoustic waves shear waves . . . 193
8.2 Electrostriction...................................................195
8.2.1 Attenuation.................................................196
8.2.2 Response time............................................. 198
8.3 Coupled wave equations.............................................198
8.3.1 Acoustic wave equation......................................198
8.3.2 Wave equations for electric field...........................200
8.4 Threshold..........................................................205
8.5 Reduced SBS fibers.................................................207
8.6 Applications.......................................................209
8.7 Summary............................................................210
9 Optical Kerr effect 211
9.1 Short pulse propagation............................................214
9.2 Propagation of short pulses........................................217
9.2.1 Linear propagation..........................................217
9.2.2 Self-phase modulation (SPM).................................218
9.2.3 Solitons....................................................219
9.3 Pulse characterization.............................................220
9.3.1 Impact due to loss/amplification............................226
9.4 Applications of solitons and short pulse propagation...............230
9.4.1 Optical communication system demonstrations.................230
9.4.2 Supercontinuum generation...................................231
9.5 Summary............................................................233
10 Four-wave mixing 235
10.1 Physical description...............................................236
10.2 Propagation equations—three frequencies............................238
10.3 Spontaneous emission in four-wave mixing...........................244
10.3.1 Input conditions............................................245
10.4 Amplifiers.........................................................247
10.4.1 Single pump-phase insensitive amplification (PIA)...........248
10.4.2 Single pump-phase sensitive amplification (PSA).............256
10.4.3 Two pump amplifiers.........................................258
10.5 Other applications.................................................261
10.6 Summary............................................................263
Contents ІХ
A Tensors 265
A.l Notation...........................................................266
A. 1.1 Symmetry and antisymmetry.................................267
A.l.2 Change of basis.............................................267
A. 2 Pseudotensors....................................................269
В Hamiltonian and polarization 271
B. l Hamiltonian......................................................271
B. 2 Polarization operator............................................272
C Signal analysis 275
C. l Time domain signals..............................................275
C.2 Frequency domain signals...........................................278
C. 2.1 Review of basic Fourier transformation....................279
C. 3 Models for linear material response..............................281
D Generating matrices and susceptibility tensors 285
D. l Generating matrices..............................................286
D. 2 Susceptibility tensors...........................................287
D. 2.1 Triclinic material........................................287
D.2.2 Trigonal....................................................287
D. 2.3 Isotropic material........................................288
E Transverse field distributions 289
E. l Lasermodes.......................................................289
E. 2 Fibermodes.......................................................290
E. 2.1 The LPoi mode.............................................290
F The index ellipsoid 293
F. l Background.......................................................293
F. 2 The index ellipsoid..............................................294
G Materials commonly used in nonlinear optics 297
G. l Lithium Niobate - LiNb03 ....................................... 297
G.2 Potassium Titanyl Phosphate - KTP..................................299
G.3 Third-order nonlinear materials....................................300
Bibliography 303
Index
315
|
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| spelling | Rottwitt, Karsten Verfasser (DE-588)1065351372 aut Nonlinear optics principles and applications Karsten Rottwitt ; Peter Tidemand-Lichtenberg Boca Raton [u.a.] CRC Press 2015 XXVII, 321 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Optical sciences and applications of light Nichtlineare Optik (DE-588)4042096-6 gnd rswk-swf Nichtlineare Optik (DE-588)4042096-6 s DE-604 Tidemand-Lichtenberg, Peter Verfasser (DE-588)1065351380 aut Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027718961&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027718961&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rottwitt, Karsten Tidemand-Lichtenberg, Peter Nonlinear optics principles and applications Nichtlineare Optik (DE-588)4042096-6 gnd |
| subject_GND | (DE-588)4042096-6 |
| title | Nonlinear optics principles and applications |
| title_auth | Nonlinear optics principles and applications |
| title_exact_search | Nonlinear optics principles and applications |
| title_full | Nonlinear optics principles and applications Karsten Rottwitt ; Peter Tidemand-Lichtenberg |
| title_fullStr | Nonlinear optics principles and applications Karsten Rottwitt ; Peter Tidemand-Lichtenberg |
| title_full_unstemmed | Nonlinear optics principles and applications Karsten Rottwitt ; Peter Tidemand-Lichtenberg |
| title_short | Nonlinear optics |
| title_sort | nonlinear optics principles and applications |
| title_sub | principles and applications |
| topic | Nichtlineare Optik (DE-588)4042096-6 gnd |
| topic_facet | Nichtlineare Optik |
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