Electromagnetic resonances in nonlinear optics:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u.a.]
Gordon & Breach
2000
|
| Schriftenreihe: | Advances in nonlinear optics
5 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 389 S. graph. Darst. |
| ISBN: | 9056993178 |
Internformat
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Datensatz im Suchindex
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| adam_text | ELECTROMAGNETIC RESONANCES IN NONLINEAR OPTICS M. NEVIERE LABORATOIRE
D OPTIQUE ELECTROMAGNETIQUE UNIVERSITE DE MARSEILLE, FRANCE E. POPOV
INSTITUTE OF SOLID STATE PHYSICS SOFIA, BULGARIA R. REINISCH LABORATOIRE
D ELECTROMAGNETISME, MICROONDES ET OPTOELECTRONIQUE INSTITUT NATIONAL
POLYTECHNIQUE DE GRENOBLE, FRANCE AND G. VITRANT LABORATOIRE
D ELECTROMAGNETISME, MICROONDES ET OPTOELECTRONIQUE INSTITUT NATIONAL
POLYTECHNIQUE DE GRENOBLE, FRANCE GORDON AND BREACH SCIENCE PUBLISHERS
AUSTRALIA * CANADA * FRANCE * GERMANY * INDIA * JAPAN * LUXEMBOURG
MALAYSIA * THE NETHERLANDS * RUSSIA * SINGAPORE * SWITZERLAND CONTENTS
INTRODUCTION TO THE SERIES 3 CHAPTER I: INTRODUCTION 5 CHAPTER II:
INTRODUCTION TO DIFFRACTION GRATING THEORY 9 II. 1 INTRODUCTION 9 11.2
GRATING FUNDAMENTALS IN LINEAR OPTICS 10 11.3 GRATING RESONANCES 13 11.4
GRATINGS IN NONLINEAR OPTICS 15 11.5 REVIEW OF THE GRATINGS PROBLEMS IN
LINEAR OPTICS 19 11.6 BASIC PRINCIPLES OF RIGOROUS ELECTROMAGNETIC
THEORIES IN LINEAR GRATING OPTICS 23 11.6.1 THE RAYLEIGH THEORY 24
11.6.2 DIFFERENTIAL THEORY 24 11.6.3 THE METHOD OF MOHARAM AND GAYLORD
25 11.6.4 THE CLASSICAL MODAL METHOD 26 11.6.5 THE INTEGRAL THEORY 27
11.6.6 THE METHOD OF COORDINATE TRANSFORMATION 28 11.6.7 GRATING THEORY
USER GUIDE 29 CHAPTER III: ELECTROMAGNETIC THEORY OF NONLINEAR OPTICS 35
III. 1 FUNDAMENTAL LAWS AND CONSTITUTIVE RELATIONS 35 111.2 NONLINEAR
POLARIZATION IN SECOND HARMONIC GENERATION 41 111.2.1 DIELECTRICS 41
111.2.2 METALS 42 111.2.3 UNDEPLETED PUMP APPROXIMATION 42 111.3
NONLINEAR POLARIZATION FOR OPTICAL KERR EFFECT 43 111.4 PROPAGATION
EQUATIONS 44 111.5 BOUNDARY CONDITIONS 45 CHAPTER IV: RIGOROUS NONLINEAR
ELECTROMAGNETIC THEORY OF CORRUGATED DIELECTRIC WAVEGUIDES 48 IV. 1
THEORY OF UNDEPLETED SECOND HARMONIC GENERATION IN CORRUGATED DIELECTRIC
WAVEGUIDES 49 IV. 1.1 CURVILINEAR COORDINATE TRANSFORMATION 49 IV. 1.2
THE RAYLEIGH-FOURIER METHOD AS APPLIED TO SECOND HARMONIC GENERATION 59
IV.1.3 DIFFERENTIAL METHOD 63 IV.1.3.1 SOLUTION AT THE PUMP FREQUENCY (0
.. 63 IV.1.3.2 NONLINEAR POLARIZATION INSIDE THE HOMOGENEOUS REGION 66
IV.1.3.3 NONLINEAR POLARIZATION INSIDE THE MODULATED REGION 67 IV.1.3.4
THE FIELD INSIDE THE MODULATED REGION 67 IV.1.3.5 THE FIELD INSIDE THE
HOMOGENEOUS NONLINEAR REGION 70 IV. 1.3.6 THE BOUNDARY CONDITIONS 71
IV.2 NUMERICAL METHODS FOR ANALYSIS OF PUMP FIELD DEPLETION IN SECOND
HARMONIC GENERATION AND OPTICAL KERR EFFECT 73 IV.2.1 GENERAL
CONSIDERATIONS 73 IV.2.2 PLANE INCIDENT WAVE - THE CLASSICAL
DIFFERENTIAL METHOD 77 IV.2.2.1 OPTICAL KERR-EFFECT 84 V VI CONTENTS
IV.2.2.2. SECOND-HARMONIC GENERATION 84 IV.2.3 WAVEGUIDE MODE
PROPAGATION: BEAM-PROPAGATION FINITE- DIFFERENCE METHOD 85 IV.2.4
WAVEGUIDE MODE PROPAGATION: FINITE-ELEMENTS METHOD 88 IV.3 MULTILAYERED
GRATING - ELIMINATION OF NUMERICAL INSTABILITIES 90 IV.3.1 ERRORS 90
IV.3.2 GROWING EXPONENTS AND NUMERICAL INSTABILITIES 91 IV.3.3
EXPONENTIAL TERMS INSIDE THE CORRUGATED REGION 96 IV. 3.4 S-MATRIX
ALGORITHM 99 CHAPTER V: THEORY OF UNDEPLETED SECOND HARMONIC GENERATION
IN RELIEF METALLIC GRATINGS 104 V.L THE SURFACE TERM OF P NL 105 V.2 THE
PROBLEM OF BOUNDARY CONDITIONS 106 V.3 THE PROPAGATION EQUATIONS 110 V.4
THE POLARIZATION DEPENDENCE 112 V.5 THE INTEGRAL METHOD 113 V.6 THE
DIFFERENTIAL METHOD 116 CHAPTER VI: POLOLOGY: PHENOMENOLOGICAL APPROACH
TO (QUASI) PHASE MATCHING 120 VI. 1 INTRODUCTION 120 VI.2 AN INTERESTING
EXAMPLE - RESONANTLY ENHANCED OR REDUCED SECOND- HARMONIC ABSORPTION 121
VI.2.1 PUMP WAVELENGTH 1.319 ** 128 VI.2.2 PUMP WAVELENGTH 1.064 |IM .
128 VI.3 PHENOMENOLOGICAL APPROACH TO ELECTROMAGNETIC RESONANCE EFFECTS
IN LINEAR OPTICS 128 VI.3.1 SCATTERING MATRIX 129 VI.3.2 THE
ELECTROMAGNETIC RESONANCE 130 VI.3.3 THE ZEROS OF B N 133 VI.3.4 LOCI OF
8 P (H) AND 8 Z (H) IN THE COMPLEX 5-PLANE 135 VI.4 POLOLOGY IN
NONLINEAR OPTICS 137 VI.4.1 SECOND HARMONIC GENERATION 137 VI.4.2
OPTICAL KERR EFFECT 144 VI.5 OPTIMIZATION ALGORITHM FOR SECOND HARMONIC
GENERATION 147 VI.5.1 AN OPTIMIZATION ALGORITHM 149 VI.5.2 BEHAVIOR OF
COUPLING COEFFICIENTS 155 VI.5.3 SOME LIMITATIONS AND PRECAUTIONS 157
VI.5.4 NUMERICAL EXAMPLES 158 CHAPTER VII: LEAKY MODES IN NONLINEAR
OPTICAL RESONATORS 165 VII. 1 GENERAL CONSIDERATIONS 165 VII.2 DIFFERENT
REPRESENTATIONS OF THE ELECTROMAGNETIC FIELD IN LINEAR PLANAR STRUCTURES
166 VII.2.1 THE LONGITUDINAL REPRESENTATION 167 VII.2.2 THE TRANSVERSE
REPRESENTATION: GUIDED MODES AND RADIATION FIELDS 168 VII.2.3 THE
TRANSVERSE REPRESENTATION: ORTHOGONALITY RELATIONS AND THE EQUATION OF
EVOLUTION OF A MODE AMPLITUDE 177 CONTENTS VII VII.2.3.1 DEMONSTRATION
OF THE LORENTZ RECIPROCITY THEOREM 177 VII.2.3.2. ORTHOGONALITY
RELATIONS 178 VII.2.3.3. DETERMINATION OF THE AMPLITUDE OF A MODE:
GUIDED OR RADIATED 186 VII.2.3.4. EQUATION OF EVOLUTION OF A MODE
AMPLITUDE 188 VII.2.4 THE LEAKY MODE REPRESENTATION 190 VII.2.4.1 THE
LEAKY MODES 190 VII.2.4.2 THE DIFFERENT TYPES OF MODES 194 VII.2.5 BRIEF
SUMMARY 197 VII.3 EQUATION OF EVOLUTION OF A LEAKY MODE AMPLITUDE IN
PLANAR RESONATORS 198 VII.3.1 EVALUATION OF J~ 200 VII.3.2 EVALUATION
OF 7 Q L 202 VII.3.2.1 PRELIMINARY CONSIDERATIONS 204 VII.3.2.2
CALCULATION OF J N AND N N RAD 206 VII.3.2.3 CALCULATION OF N QRAD WHEN
TWO CLASSES OF RADIATION MODES ARE RESONANTLY EXCITED 212 VII.3.3
GENERAL EQUATION OF EVOLUTION OF A LEAKY MODE AMPLITUDE 214 VII.3.4 THE
RELATION BETWEEN THE ELECTROMAGNETIC FIELDS INSIDE AND OUTSIDE THE
RESONATOR 215 VII.4 EXAMPLES 220 VII.4.1 A PRISM COUPLER IN LINEAR
OPTICS 220 VII.4.1.1 SOLUTION IN THE TRANSVERSE REPRESENTATION FOR AN
INCIDENT PLANE WAVE 220 VII.4.1.2 SOLUTION IN THE LEAKY MODE
REPRESENTATION 224 VII.4.2 A PRISM COUPLER IN NONLINEAR OPTICS 227
VII.4.2.1 SOLUTION IN THE TRANSVERSE REPRESENTATION 228 VII.4.2.2
SOLUTION IN THE LEAKY MODE REPRESENTATION 233 VII.5 GRATING STRUCTURES
234 VII.5.1 HOMOGENEOUS SOLUTION: GENERAL CONSIDERATIONS 234 VII.5.2
EQUATION OF EVOLUTION OF A LEAKY MODE AMPLITUDE 240 VII.5.2.1 THE
IN-COUPLING PROCESS 241 VII.5.2.2 THE INFLUENCE OF NONLINEAR
POLARIZATION 244 VII.5.3 AMPLITUDE OF THE DIFFRACTED ORDERS IN THE
OUTSIDE MEDIA 245 VII.5.4 EXTENSION TO THE TIME DOMAIN 246 VII. 6
GENERAL SUMMARY 248 CHAPTER VIII: LINEAR DISTRIBUTED COUPLERS 252 VIII.
1 RADIATION PATTERN OF DISTRIBUTED COUPLERS IN THE STATIONARY REGIME:
NULL POINTS AND M-LINES 252 VIII.1.1 NEAR FIELD-PATTERN AND NULL POINTS
253 VIII. 1.2 FAR-FIELD PATTERN AND M-LINE 257 VIII. 1.3 FAR-FIELD
CRITERIUM 264 VIII. 1.4 IS THERE A LINK BETWEEN THE NULL POINT AND THE
M-LINE? 264 VIII.2 SPATIO-TEMPORAL LINEAR ANALYSIS OF DISTRIBUTED
COUPLERS 268 VIII.2.1 PRISM COUPLERS 271 VIII.2.2 GRATING COUPLERS 272
VIII CONTENTS CHAPTER IX: KERR-TYPE LEAKY RESONATORS 276 IX. 1 OPTICAL
BISTABILITY 278 IX. 1.1 STATIONARY PLANE WAVE STUDY OF OPTICAL
BISTABILITY 278 IX. 1.1.1 THE NONLINEAR TRANSMISSION 279 IX.1.1.2 THE
NONLINEAR REFLECTION 281 IX. 1.2 DIFFRACTION-INDUCED TRANSVERSE EFFECTS
DUE TO THE FINITE WIDTH OF THE PUMP BEAM 283 IX. 1.2.1 GENERAL
CONSIDERATIONS 283 IX.1.2.2 SOME COMMENTS ON THE PLANE WAVE SOLUTION 286
IX.1.2.3 TRANSVERSE EFFECTS IN KERR-TYPE LEAKY RESONATORS 288 IX.2
SPATIO-TEMPORAL PHENOMENA IN KERR-TYPE LEAKY RESONATORS 293 IX.2.1 BASIC
THEORETICAL TOOLS FOR STABILITY ANALYSIS 295 IX.2.2 PLANE WAVE SOLUTION
IN INSTANTANEOUS KERR MEDIA 299 IX.2.3 PLANE WAVE SOLUTION IN
NONINSTANTANEOUS KERR MEDIA 302 IX.2.3.1 LINEAR STABILITY ANALYSIS 302
IX.2.3.2 NONLINEAR DYNAMICS 305 IX.2.4 SPATIO-TEMPORAL INSTABILITIES IN
KERR-TYPE RESONATORS 308 IX.2.4.1 STATIC MODULATIONAL INSTABILITIES IN
NORMAL INCIDENCE 310 IX.2.4.2 DYNAMIC MODULATIONAL INSTABILITIES IN
NORMAL INCIDENCE 311 IX.2.4.3 INFLUENCE OF THE ANGLE OF INCIDENCE 313
CHAPTER X: SECOND HARMONIC GENERATION IN LEAKY RESONATORS 321 X.L SECOND
HARMONIC GENERATION AT GRATING COUPLERS: GENERAL RESULTS 322 X.L.L THE
BASIC EQUATIONS 322 X. 1.2 ELECTROMAGNETIC RESONANCES AND PHASE-MATCHING
326 X.2 THE UNDEPLETED PUMP PLANE WAVE SOLUTION 328 X.2.1 THE SAME
GRATING IS USED FOR THE IN-COUPLING AND THE RESONANT EXCITATION OF
GUIDED MODES 328 X.2.1.1 THEORETICAL RESULTS 328 X.2.1.2 NUMERICAL
RESULTS 330 X.2.2 NONLINEAR M-LINES AT THE SECOND HARMONIC FREQUENCY 334
X.2.3 GRATING-ASSISTED PHASE-MATCHING: SUBWAVELENGTH GRATING 337 X.3
CERENKOV SECOND HARMONIC GENERATION 341 X.4 OPTICAL
BISTABILITY/INSTABILITIES IN ^[2]- 0 PTICAL RESONATORS 345 X.4.1
STATIONARY PLANE WAVE STUDY OF X^J-INDUCED OPTICAL BISTABILITY 347
X.4.1.1 SECOND HARMONIC GENERATION 348 X.4.1.2 SUB/SECOND HARMONIC
GENERATION 349 X.4.2 INSTABILITIES IN X^J-OPTICAL RESONATORS 356
APPENDIX A: CURVILINEAR TRANSFORMATION OF COORDINATE SYSTEM 362 APPENDIX
B: PROPAGATION EQUATION IN TM POLARIZATION 363 APPENDIX C : PROPAGATION
EQUATION IN ** POLARIZATION 364 APPENDIX D: THE MULTIPLICITY OF THE
POLES 365 APPENDIX E: RADIATION MODES AND RELATED TOPICS 367 APPENDIX F:
RESONANT EXCITATION OF TWO CLASSES OF RADIATION MODES 378 APPENDIX G:
MEANING OF THE SPECTRAL WIDTH OF THE RESONANCE CURVE 380 APPENDIX H:
HOPF BIFURCATION IN LEAKY RESONATORS DESCRIBED BY EQS.IX.47 381 APPENDIX
I: NUMERICAL INTEGRATION PROCEDURE OF EQUATIONS IX.55 384 INDEX 386
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| isbn | 9056993178 |
| language | English |
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| physical | VIII, 389 S. graph. Darst. |
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| series2 | Advances in nonlinear optics |
| spelling | Electromagnetic resonances in nonlinear optics M. Nevière ... Amsterdam [u.a.] Gordon & Breach 2000 VIII, 389 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advances in nonlinear optics 5 Electromagnetic waves Diffraction Nonlinear optics Nichtlineare Optik (DE-588)4042096-6 gnd rswk-swf Elektromagnetische Welle (DE-588)4014301-6 gnd rswk-swf Nichtlineare Optik (DE-588)4042096-6 s Elektromagnetische Welle (DE-588)4014301-6 s DE-604 Nevière, M. Sonstige oth Advances in nonlinear optics 5 (DE-604)BV011266994 5 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009340510&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Electromagnetic resonances in nonlinear optics Advances in nonlinear optics Electromagnetic waves Diffraction Nonlinear optics Nichtlineare Optik (DE-588)4042096-6 gnd Elektromagnetische Welle (DE-588)4014301-6 gnd |
| subject_GND | (DE-588)4042096-6 (DE-588)4014301-6 |
| title | Electromagnetic resonances in nonlinear optics |
| title_auth | Electromagnetic resonances in nonlinear optics |
| title_exact_search | Electromagnetic resonances in nonlinear optics |
| title_full | Electromagnetic resonances in nonlinear optics M. Nevière ... |
| title_fullStr | Electromagnetic resonances in nonlinear optics M. Nevière ... |
| title_full_unstemmed | Electromagnetic resonances in nonlinear optics M. Nevière ... |
| title_short | Electromagnetic resonances in nonlinear optics |
| title_sort | electromagnetic resonances in nonlinear optics |
| topic | Electromagnetic waves Diffraction Nonlinear optics Nichtlineare Optik (DE-588)4042096-6 gnd Elektromagnetische Welle (DE-588)4014301-6 gnd |
| topic_facet | Electromagnetic waves Diffraction Nonlinear optics Nichtlineare Optik Elektromagnetische Welle |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009340510&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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