Pan G.W. — Wavelets in Electromagnetics and Device Modeling :: Электронная библиотека попечительского совета мехмата МГУ

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Pan G.W. — Wavelets in Electromagnetics and Device Modeling

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Название: Wavelets in Electromagnetics and Device Modeling

Автор: Pan G.W.

Аннотация:

A graduate textbook for students of electrical engineering or computer science who have no prior knowledge of wavelets, but a solid background in electromagnetics. It demonstrates how to apply the wavelet theory developed in abstract mathematics to practical engineering problems.Copyright © 2004 Book News, Inc., Portland, OR

Язык:

Рубрика: Математика/Численные методы/Вейвлеты, обработка сигналов/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 552

Добавлена в каталог: 04.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Absorbing boundary condition (ABC)      192 215 280 455
Acoustic phonon      512
Adaptive mesh      19
Adjoint operator      102
Aliasing      374
Almost everywhere      2 3 292
Asymptotic      323 421 449
B-spline      39 134 135 165
Bandwidth      75 76 280 403
Battle-Lemarie      15 22 39—40 46 51 56 75 95 97 134 201—205 208 215 219 228 240 437
Bernoulli function      488
Boltzmann transport equation (BTE)      504 505 508 515—521 524
boundary conditions      19 20 141 160 189 201 253 278 280 319 433 455—460 480—481 485 501 512
Boundary conditions of 1st kind      455 456 459
Boundary conditions of 2nd kind      457
Boundary conditions of 3rd kind      455—457 459
Boundary conditions of impedance      456 457
Boundary conditions of truncation      468—469
Boundary conditions, element method      101 402 408 428
Boundary conditions, value problems      17 117 455
bte      see "Boltzmann transport equation"
Canonical      240 499
Cauchy      8 325 405 455
Causality      31 194
Cavity      229—232
cholesky      152 311
Coiflets      64—69 128 145 195 299 304 305—310 313—319 333 355 380—384 396
Collocation method      18
Compact support      46 62—63 215 313 477
Conjugate gradient      305 357 380
Continuity equation      476 488 489 491 499 502
Daubechies wavelets      56—63 72—75 97—98 108 110 125 185 351 354 367 412 415
DCT-IV      see "Discrete cosine transform"
Debye length      486 514
Decomposition      15 22—28 92—95 112 139 152 160 165 268 271 300 305 307 311 386 455
Density function      369 370 375 505
Density of states      513 516
Differential equation      159—172 223 237 276 329 474 475 481 485 488 499 508
Differential operator      10 101 159 160 163 167 198 205 475
Diffusion equation      140 167 431 484
Dilation equation      31 40 43 48 50 55 56 69 71—73 78 93 98 122 163 166—167 169—171 240 242 246 249—251 255 259 271 297 437 450
Dirac delta function      83 104 200 346
Dirichlet      4 455
Discontinuity      395 408 441 467
Discrete cosine transform (DCT)      348
dispersion      18 19 189 201 223 232 283 440
Displacement current      140
Distributions      11 15 101 300 348 435 443 444 495—497 504 518 519
Drift-diffusion      474—475 484 486 498 502 504 520
Dyadic Green’s function      116 424 426
Dyadic Green’s function, points      69
Eigenmode      17 232
Eigenvalue      12 14 69 70 72 194—197 244 245 250 281 286—288 290 295
Eigenvector      12 70 72 244 245 286—288 290 295
Einstein relation      485
Electric field integral equation (EFIE)      330 337
Euler’s constant      129
Fast wavelet transform (FWT)      17 92 114 133—144 305 307 381 384—386 434
Fatou lemma      3
Finite difference      18 19 189—191 198 201 215 223 236 373 476 479 480 487 490 498 510 516
Finite difference time domain (FDTD)      18 19 189—194 198 201 205 215 216 222 224 225 228—233 236—238 357—363 440 465 468
Finite element method (FEM)      18 19 101 276 279 280 283—285 401 487 498 499
Folding      106 131 340—342 347 348 448
Fourier coefficient      53 166 341 376
Fourier integral      202
Fourier transform      1 4 10 16 17 32 34 36 37 40 43 45 52 69 74 77 95 96 133 161 165 167—169 171 202 205 213 214 229 316 321 341 357 361 372 375 418 421 443 450
Franklin wavelet      32 39 40 48 50 51 95—97 126 133 134 185
Fredholm integral equation      330
Fubini theorem      3
Functionals      456
FWT      see "Fast wavelet transform"
Galerkin’s procedure      110 131 133 277 437 458 500
Gaussian quadrature      131 132 309 316 317 319 321 331 381 411 426 437
Green’s functions      143 160 161 163 165—168 171 172 323 330 417 418 426 433 441 448—450 455
grid      23 101
Haar wavelets      20 22 23 30 32 189 201 299
Hankel function      320 377—379
Heaviside step function      200
Helmholtz equations      160
higher order      39 61 68 74 101 280 283 354 410 518
Hilbert space      9—12 31 233
Hole concentration      493 495 503
Homogeneous      89 165—167 219 256 388 440 444 448 456
Hydrodynamic      475 505
Identity      47 115 141 186 246 432
Impedance matched source      358—360
incident      118 320 328 377 387—389 393 394 443 455
Incident, angle      305 350 385 388
Incident, field      128 301 303 320 322 345 346 376 378 379 388 389 393 395 458
Incident, plane wave      299 300 326—329 332 337 376 377
Inhomogeneous      280 283 285 286
Inner product      1 9—11 46 53 54 102 103 105 119 120 209 235 253 255 256 258 259 263 407 445
Integral equations      18 100 106 110 118 131 143 151 166 189 312 319 322 325 340 345 344 347 368 377 379 393 394 402 405 404 410 412 431 433 434 442—445
Integral operators      18
Internal inductance      402 440
Interpolating wavelets      19 159 474 475 477 479—484 490—492 498
Intervallic wavelets      19 118 133 144—156 172 186 299 309 312 321 330 331 339 340 408 415
Inverse operator      102
Ionized impurity      514—515
Iteration      69 73 260 305 307 489 493 498 516 517
Lagrange      240 276 280
Laplace equation      403
Laplacian operator      516
Lebesgue dominant      3 47
Lifting scheme      157—159
Linear operators      12—13 102 110 476
Lipschitz      4—7 31 455
Local correction      299

Local cosine      187 299 340—357
Localization property      101
Magnetic current      114 323
Magnetic field integral equation (MFIE)      131 325 326 392
Mallat decomposition      92
Maxwell’s equations      387 431 474
Method of moments (MoM)      16 18 103—107 128 299 300 340 367 368 376 379 386 392 412 413 433
Meyer wavelets      16 75—92
MFIE      see "Magnetic field integral equation"
Microstrip, antenna      357
Microstrip, transmission      451 452
Mie scattering      324
MOM      see "Method of moments"
Monte Carlo      367 381 475
Mother wavelets      20
Multiresolution analysis (MRA)      14 17 20 30 43 107 172 309 340 384 406 444 475
Multiresolution time domain (MRTD)      25 201 208 211 215 219—222 223—226 228 233 236
Multiwavelets      18 19 240—242 244 255 258 260 261 264 269 270 272—275 277 279 282—286 294 297
Neumann      457
Neural networks      431
Newton — Raphson      517
Nonlinear      16 18 65 246 367 474 476
Norm      1 2 7—14 18 55 72 100 350 457
Numerical integration      193 194 309 313 316 341 381
Operator equations      101
Optical phonon      513 518 523
Orthogonality      9 20 27 30 32 33 40 42 43 46 48 55 56 78 85 90 94 101 117 133 149 162 166 199 201 207 234 235 237 240 252—257 258 269 299 340 366 394 447 455
Orthonormal      11 22 30 31 33 41 42 46 51 64 92 101 107 123 145 146 148—150 152—154 185 234 276 309—312 407
p-n junction      475 493—496
Parseval’s theorem      52
Partial differential equation (PDE)      18 166 237 474—476 485
Partial sum      160
Perfectly matched layer (PML)      192 193 233 280 362
Periodic wavelets      17 118 120 123 124—128 130 133 135 144 185 186 309 321 340 406 408 415 417
Perturbation      366 402 403
Piecewise sinusoidal      100 347 440
Plane wave      114 194 197 220 223 224 242 300 324 326—329 336 350 387—389 448
PML      see "Perfectly matched layer"
Point matching      104 187 368
Poisson equation      102 167 171 476 484 488 515—517
Projection operator      31 108 112 113 407
Prony’s method      423 424
Quadrature formula      144 299 307 366 368 380 381 396 437
Quasi-static method      140 402 429 431
Radar cross-section      132 323 324 348 376 383 397 398
Radiation boundary conditions      189 237 459
Raised cosine      74 83 85 91 98
Random surface      366—374 376 377 381 383 397
Rayleigh — Ritz procedure      458
Recursive relation      73 419 477 507
Regularity      4 4 31 101 133 201 240
Reproducing kernel      19 207 208
Resonance      229—232 451 453
Reynolds      499 501 502
Riesz basis      11—13 31 207 265
Rough surface scattering      366 367 376 381
Runge — Kutta method      481 489
Sampling function      19 70 75 83 160—162 164—167 189 205 206 208 215
Scaling functions      20 491
Scattering      18 100 128 299—308 319 320 323 326 332 336 341 344 351 355 366 367 373 376 380 397 398 475 512—515 520
Scattering, angle      347 349
Scattering, coefficient      132 320 346—350 376 377 381—383
Scattering, matrix      401 511
Scattering, parameter      143 233 465—469
Scattering, term      512 514
Self-adjoint operator      12
Semiconductor      18 19 366 474 475 484 485 487 489 498 516
Shannon wavelets      83—85 160
Singularity      4 106 131 164 165 189 304 316 330 376 378 381 396 408 449 450
Sobolev, like inner product      269 270
Sobolev, sampling sense      261
Sobolev, space      1 8 10
Sommerfeld-type integrals      447 455
Source      135 322 323 336 358—360 362 363 410 417 426 448 460
Source, image      448 449
Source, point      329 330 332 346
Spatial domain      16 36 169 209 388 414 418 421 475
Spectral representation      447 448
Spherical harmonic      505 508 515 517
Spurious modes      285—287
Stability      189 192 194 197 198 219 221 222 236 413 481 498 499 502
Sturm — Liouville problem      277
Subdomain basis functions      433
Surface integral equations      16 187
TE      see "Tranverse electric"
TEM      see "Tranverse electromagnetic"
Testing function      103 105 119 120 135 204 205 207 208 214—216 237 303 313—315 317 319 347 348 368 380 392
Threshold      307 309 353 352 384 415 435 454 478—483 489 491 498
Time-frequency      16 341
TM      see "Tranverse magnetic"
Transmission lines      140 401—404 412 413 437 455
Transport equation      484 504 505 543
Tranverse electric (TE)      230 232 300 304 305 306 341 345—354 442 448
Tranverse electromagnetic (TEM)      140 401 403
Tranverse magnetic (TM)      128 195 300 303—306 319 320 323 324 341 345—350 442 448
Unbounded      145 166 309
Uncertainty principle      16
Upwind, algorithm      474
Upwind, basis function      499
Upwind, FEM      499
Upwind, scheme      499 501
Vanishing moments      16 48 64 159 240 299 309 310 313 317 322 340 366
Variational principles      189
Vector wave equation      285 458
Volume integral equation      455
Wavelet expansion      18 100 102 110 132 143 198 321 324 330 341 402 412 413 440 444 445 451 452 453
Wiener — Hermite      366
Zygmund      17

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