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Maimistov A.I., Basharov A.M. — Nonlinear optical waves
Maimistov A.I., Basharov A.M. — Nonlinear optical waves

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Название: Nonlinear optical waves

Авторы: Maimistov A.I., Basharov A.M.

Аннотация:

This book has been designed as a tutorial for the theory of non-linear waves in optics. The emphasis is on the basic aspects of the theory, on analytical methods and on non-dissipative phenomena. The self-induced transparency phenomenon and short pulse propagation in fibres are good examples of the important role solitons play in non-linear optics. The classical problem of non-linear optics is the parametric interaction of waves. Three- and four-wave parametric interaction processes are of particular interest because they enable new applications of the inverse scattering transform method to non- linear systems without any dispersion. Surface and guided waves are considered as specific examples of non-linear integrated optics. Audience: This volume will be of interest to those involved in electromagnetic theory, optics and optoelectronics, lasers and electro-optics, and the mathematics of physics.


Язык: en

Рубрика: Физика/Электромагнетизм/Оптика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1999

Количество страниц: 650

Добавлена в каталог: 19.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$0\pi$-kink      175 176
$0\pi$-pulse      164 169 170 275 276
$2\delta$-kink      176
$2\pi$-pulse      133 140 141 158 164—171 199 203 235 260 270 275 276
$2\pin-2\delta$-pulse      234
$4\pi$-kink      174 176
$4\pi$-pulse      164 166—171 176
$4\pi-2\delta$-kink      175 176
$N\pi$ -pulses      154
$\Lambda$-configuration      80 177 180 184—186 263 605 632
$\Theta$-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 $2\pi$-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
1 2 3
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