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Авторизация |
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Поиск по указателям |
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Maimistov A.I., Basharov A.M. — Nonlinear optical waves |
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Предметный указатель |
-kink 175 176
-pulse 164 169 170 275 276
-kink 176
-pulse 133 140 141 158 164—171 199 203 235 260 270 275 276
-pulse 234
-kink 174 176
-pulse 164 166—171 176
-kink 175 176
-pulses 154
-configuration 80 177 180 184—186 263 605 632
-configuration 80 179 181 184 606
2-cycle 567
3-wave interaction 436 437
3j (Wigner) symbol 34 38 182 617
Ablowitz, Kaup, Newell and Segur (AKNS) 110 131
Absorption length 257
Action functional 394 405
Action-angle variables 107
Adiabatic perturbation theory 400 403
Adiabatic soliton perturbation theory 407 408 411
Adjacent transitions 79
Airy equation 317
AKNS hierarchy 187—189 388
AKNS spectral problem 161 163
Algebraic soliton 354
Algebraic soliton (DNLS) 346
All-optical switching 494 537
Anomalous dispersion 257
Anomalous dispersion region 334 384
Anti-Stokes wave 86 457
Area theorem 234
Average group velocity 382
Backlund transformation (BT) 160—169 177 192 193 203 209 437 456
Beat length 418 422
Bilinear equations 450
Bilinearization method 437 449
Bion 274
Bipolar impulse 297
Birefringence 304 365 368
Birefrmgent fibre 304 368 383 422
Bistability 565 566 569 571 572 574
Bistable reflection 568
Bloch angle 226
Bloch equations 11 30 32 134 136 138 145 220 224 229 233 256 261 272 286 291
Bloch equations in thin film 578
Bloch equations, accounting level degeneracy 35 38
Bloch equations, general solution 53 77 82—83 92 98
Bloch equations, stationary solution 12 91 573
Bloch vector 134 139—141 144 146 147 230 233 268 269
Bloch — Siegert shifts 10
Boussinesq equation 291
Bragg condition 371 495
Bragg resonance 496 537 540
Bragg scattering 537
Breather 164 170 171 274
Breather solution of mKdV 289
Bright wave 543
c.c. 5
Canonical transformation 107
Canonical transformation of Foldy and Wouthuysen 3 545
Carrier frequency 5 306 307 355
Cascade configuration 80 179 181 184 606
Characteristic co-ordinates 453 471
Chiral field models 244 245
Circular polarisation 90
Circularly polarised pulse 368
Cnoidal waves 137 142—144 148 151 152 283 313 315 383 385
Coherent radiation in separated light fields 49
Collapse 407 408 411 412 419 486
Collapse of optical solitons 408 412
Collective relaxation 573
Collinear parametric interaction 438
Combination frequencies 14
Combinative interaction 25
Commutator 108
Complete elliptic integral 144 384
Complete elliptic integral of the first genus 542
Completely integrable equations 243 372 255 263
Completely integrable system 107
Complex mKdV equation 354 356 360
Condition of integrability 187
Conservation laws 197 198 437
Continuum approximation 379
Cooperation number 49
Cooperative parameter 570—572
Counter-propagating modes 371
Coupling coefficient 449 471 534
Coupling constant 377 378
Coupling length 494 536
Covariant differentiation 108
Critical amplitude 537
Cross-modulation 374 375 534
Cubic nonlinearity 331 357
Cubic-quintic Nonlinear Schrodinger equation 331 332 408
Darboux transformations 456
Dark solitary wave 313 315 444 480
Dark solitons 290
Dark wave 543
Degenerated two-photon absorption 232
Density matrix 1 6 35 99 182 621
Density matrix equation 1 595
Density matrix equation for a gas medium 624
Density matrix equation in broadband thermostat 603
Density matrix equation in squeezed thermostat 608
Density matrix, transformation laws 99
Dephasing of radiators 44
Derivative Non-linear Schrodinger (DNLS) equation 341 342—354 357 363
Detuning from resonance 11
DFB-structures 495 537—542 544
Dicke superradiation 50
Dielectric penetrability 370
Difference-differential equation 379
Difference-frequency mixing 436 439 440 486
Differences of the population 264
Diffraction divergence 26
Dipole moment operator 1 5
Dipole moment operator, effective dipole moment 14 37
Dipole moment operator, matrix element 34
Dirac equation 545
Directional coupler 372 494 534
Directional coupling 372
Discrete self-focusing 379
Discrete spectrum 363
dispersion 2
Dispersion broadening 26 304
Dispersion coefficient 378 383
Dispersion constant 369
Dispersion length 257 308 310 340 367 369 372 375 378 418 422
Dispersion management (DM) 424
Dispersion of the group velocities 335
Dispersion of the non-linear susceptibility 335
Dispersion relation for NLGW 511 516 520 526 529
Dispersion relation for NLSW 499 506 509 510
Dispersion relation for NLSW (TM-type) 514 516 533
Dispersion relation of linear guided TE-wave 512
Dispersion relation of the guided modes 225
Dispersion relations 515 516 519
Dispersion, space dispersion 2 16
Dispersion, temporal dispersion 2
Dispersion-flattened fibres 342
Dispersion-managed (DM-) soliton 304 425
Dispersion-shifted fibres 354
Distributed feedback (DFB) structure 495 537 370
Distributed mirror 537
Distributed-feedback laser 537
Doppler dephasing time 57
Double — Sme — Gordon (DSG) equation 173—176
Double-channel non-linear coupler 376 377
Double-soliton 133
Double-soliton solution 264
| Double-soliton solution of GSIT equations 205
Duffmg's type model 293 299
Effective fifth-order non-linear susceptibility 408
Effective Hamiltoman 9 577 598
Effective Kerr susceptibility 372
Effective non-linear dielectric permeability 517 518
Effective non-linear interaction parameter 366
Effective susceptibilities 381
Efficient exciton mass 265
Eigenvalues 108
Electric quadrupolar non-linear polarisation 486
Electric-dipole approximation 1
Electromagnetic "bubbles" waves 299
Electromagnetic shock wave 299
Elliptic cosine 144
Elliptic function 524 525 532 533
Elliptic integral 315
Elliptic integral of the first (kind) genus 150 151 420 421 477 528 535 540
Energy of the optical pulse 408
Equations of four waves interaction 474
Euler — Lagrange equation 244 305 394 395 405
Even solitons 549
Evolution equations 364
Fabri — Perot resonator 563
Femtosecond optical pulses 256 271 311 335 342
Femtosecond optical soliton 357
Femtosecond solitary wave 370
Fibre 256 303—306
Fibre amplifiers 304
Fibre optical communication systems (FOCS) 303
Fibre optics 370 424
Fixed point 565
Fixed point, stability of fixed point 566
Formula of tangents 164
Four-wave interaction 438 473
Fourier component 218 219 223 225 226 265 285
Fourier transform (method) 107 220
Fourth-order dispersion lengths 340
Fourth-order dispersion of the group-velocities 304
Fourth-order group-velocity dispersions 335 342
Frenel coefficient 561
Frequency jitter 304
Fundamental optical soliton 409
Fundamental Poisson brackets 248
Gap medium 370
Gap soliton 372 496 538
Gauge equivalence 243 247
Gauge transformation 243 247
Gelfand — Levitan — Marchenko (GLM) equations 114 116—118 192 201—203 207 263 321 350 351 362 363 391 465 466 469
Generalised Bloch equation 35
Generalised Maxwell — Bloch equations 178 181 276
Generation of the second harmonics 27
Generation of the third harmonics 25 27
Given-field approximation 52
Grating couplers 370
Grating waveguides 537
Group velocity 24 307 369 372 378
Group velocity of -pulse 141
Group-velocities dispersion 303 307 308 309 311
GSIT equations 183 185 187 194 200 207 247
Guided wave optics 370
Guided waves 495
Guiding structure 219
Hamiltonian of an isolated atom 2
Hamiltonian of an isolated atom, effective Hamiltonian 9 577 598
Hamiltonian of an isolated atom, renormalised Hamiltonian 3 9
Hamiltonian systems 107
Harmonics generation 436
Heavy exciton approximation 265
Heitler — London approximation 264
High-energy mode 57
High-frequency Stark shift 10 228 229
Higher conservation laws 177
Higher-order dispersion of the group velocities 304 335
Higher-order Nonlinear Schrodinger (HNLS) equation 357
Hirota equation 356 357
Hirota's D-operators 280 281 449—451
Homogeneous broadening 31
Hyper-parametric scattering 438 474 475
Hyperbolic secant 313
Hypergeometric functions 124 125 326
Idler wave 441
Impurities 258
Infinite set of the integrals of motion 198 199
Inhomogeneous broadening 31—34 44—46 52 55—57 220 223
Inhomogeneously broadened line 138 141
Instant frequency of carrying wave 269
Integrability condition 108
Integrals of motion 401 402
Integrated optics 537
Inter-channel interaction 375
Inter-mode dispersion of group velocities 309
Intermolecular interaction 265 266 267
Intrinsic birefringence 365
Inverse problem of scattering theory 108
Inverse scattering transform (IST) 107 108 110
Irreducible tensor operators 34
IST method 133 154 187 200 238 243 256 259 262 289 303 321 355 357 388 390 394 437 453—457 461—464
Ito equation 601
Ito's rule of differentiation 601
Jacobian elliptic cosine 525 536
Jacobian elliptic function 525 535 541 143 144 150 151 314 384 421 443 477 480 481
Jacobian elliptic function "dn" 525 536
Jacobian elliptic sine 525 536
Jost functions 110 111 127 200 201 206 209—214 326 348 349 464
Jost functions, triangular presentation 112
Jost matrices 129
Kaup — Newell spectral problem 346 391
Kepler problem 397—399 409 412
Kerr dielectric 491
Kerr effect 257 260 335 537
Kerr length 257
Kerr medium 303 313 364 365 492
Kerr nonlinearity 371
Kerr susceptibility 257 259 260 341
Kerr type nonlinearity 374 376
Kerr-type medium 263
Korteweg — de Vries equations 328
Lagrangian density 394 395
Lagrangian function 394 395
Landau — Lifshitz equation 243
Langevin equation 600
Length of absorption 186 187
Level configuration 40 80—81 582 604 632
Lie transformation 3
Linear chirp 330
Linear parabolic equation 24
Linear polarisation 90
Linearly polarised pulse 367 383
Locking a directional coupler 537
Long wavelength approximation 379
Lorentz correction L-factor 21
Lorentz factor for inhomogeneous broadening 33
Lorentz field 1 21 570 573 590
Lorentz parameter 1
Lorentzian pulse 235
Low energy mode 57
Macroscopic field 1
Manakov spectral problem 200 203 208 262 263 358 361 388 391
Mandelschtam — Brillouin scattering 457
Manley — Rowe relation 443 476
Mapping 564
Mapping, 2-circle 567
Mapping, double iteration 567
Mapping, fixed point 565
Markov approximation 600
Massive Thirring model (MMT) 542 545
Matrix AKNS system 190 194 198
Maxwell equations 1 271 288 297 298 305 559
Maxwell equations, reduced Maxwell equations 29—31 33 38
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