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Tsang L., Kong J.A., Ding K.- H. — Scattering of electromagnetic waves (Vol 2. Numerical simulations)
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Название: Scattering of electromagnetic waves (Vol 2. Numerical simulations)Авторы: Tsang L., Kong J.A., Ding K.- H.Аннотация: Scattering of Electromagnetic Waves offers in three volumes a complete and up-to-date treatment of wave scattering by random discrete scatterers and rough surfaces. Written by leading scientists who have made important contributions to wave scattering over three decades, this new work explains the principles, methods, and applications of this rapidly expanding, interdisciplinary field. It covers both introductory and advanced material and provides students and researchers in remote sensing as well as imaging, optics, and electromagnetic theory with a one-stop reference to a wealth of current research results. Plus, Scattering of Electromagnetic Waves contains detailed discussions of both analytical and numerical methods, including cutting-edge techniques for the recovery of earth/land parametric information.
Язык: Рубрика: Физика /Электромагнетизм /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2001Количество страниц: 705Добавлена в каталог: 07.10.2005Операции: Положить на полку |
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Focusing 576 578 Foldy — Lax multiple scattering equations for cylinders 476—478 481 482 489 Foldy — Lax multiple scattering equations for cylinders with reflective boundary 603 608 611 622 631—633 Foldy — Lax multiple scattering equations for point scatterers 372 379—382 393 Foldy — Lax multiple scattering equations for spheres 516 533 547 Foldy — Lax multiple scattering equations in waveguide 622 631—633 Foldy — Lax multiple scattering equations, based on volume integral equation 516 518 Foldy — Lax multiple scattering equations, first order solution 381 384 603 611 620 637 Foldy — Lax multiple scattering equations, higher-order solutions 381 Foldy — Lax multiple scattering equations, internal field formulation 482 Foldy — Lax multiple scattering equations, iterative solution 373 382 611 Foldy — Lax multiple scattering equations, low frequency formulas for 482 Foldy — Lax multiple scattering equations, scattered field formulation 481 Foldy — Lax multiple scattering equations, second order solution 388 394 617 620 Foldy — Lax multiple scattering equations, T-matrix formulation 533 539 547 Foldy's approximation 373 546 643 667 669 688 Forest 594 Forward scattering amplitude 373 Forward scattering amplitude to second order 388 Forward scattering amplitude, matrix 688 Forward scattering theorem 380 384 see Forward specular peak 275 323 Fourier — Bessel transform 463 Fourth Stokes parameters 62 Fractal 644 Fractal, dimension 133 150 Fractal, rough surface 113 124 132 133 150 163 Fractional area 458 Fractional volume 415 454 455 500 526 613 617 638 661 672 Fredholm integral equation of the first kind 16 180 271 Frequency angular correlation function (FACF) 577 579 580 586 Frequency angular correlation function (FACF), imaging 578 580 587 Frequency averaging 556 557 559 Frequency correlation function (FCF) 552 577 580 Frequency correlation function (FCF), imaging 586 587 Frequency selective surfaces 62 102 Fresnel, reflection coefficient 162 508 656 687 Fresnel, reflectivity 341 Fresnel, transmission coefficient 505 Galerkin's method 25 301 525 Gauge condition 293 294 Gaussian correlation function 145 166 204 257 292 334 343 556 Gaussian distribution 597 613 Gaussian height distribution 556 Gaussian random numbers 126 127 Gaussian random process 2—4 6 8 124 130 132 Gaussian random variable 5 124 Gaussian rough surface 113 145 204 292 334 343 Gaussian rough surface with Gaussian spectrum 124 129 130 132 150 257 280 319 571 Gaussian rough surface with ocean spectrum 113 124 150 163 Generalized Ornstein — Zernike equation 412 Generalized phase matching 553 Generalized Wiener — Hopf technique 412 Geometric optics 457 Green's function 14 18 63 271 377 Green's function in lossy dielectric 197 200 201 250 326 330 Green's function in spatial domain 65 Green's function in spectral domain 65 213 Green's function, 2-D 15 23 70 114 138 189 213 Green's function, asymptotic approximation 189 Green's function, cylindrical wave representation 606 Green's function, decomposition of 188 250 332 Green's function, electrostatic 20 Green's function, flat-surface 271 282 Green's function, half-space 603—605 Green's function, primary 622 624 629 633 Green's function, reflected 608 Green's function, response 623 624 629 630 Green's function, singularity in 20 86 115 116 Green's function, Taylor expansion of 180 181 Green's function, translational invariance of 554 Green's theorem 15 80 114 138 H-waves 69 70 80 Half-space Green's function 603—605 Hankel function 15 491 607 626 Hankel function, asymptotic 189 480 Hankel function, integral identity 93 99 Hankel function, integral representation 93 Hankel function, recurrence relation for 99 Hankel function, small argument 474 Hankel function, spherical 94 Heaviside step function 181 188 610 Hole-correction (HC) approximation 405 603 Honda trees 677 680 Huygen's principle 122 297 Hybrid matrix 79 ICE 6 10 372 Ice, surfaces 354 Ill-conditioned matrix 16 80 157 Impedance boundary condition 154 161 162 196 Impedance matrix 35 159 180 216 252 310 329 382 488 568 Impedance matrix with numerical integration 37 143 160 Impedance matrix, decomposition 245 Incoherent bistatic scattering coefficient 613 614 Incoherent bistatic scattering intensity 386 Incoherent component 374 Incoherent field 600 Incoherent intensity 481 502 503 508 602 Incoherent phase function 396 Incoherent power 517 Incoherent scattered field 508 Incoherent scattered power 503 Incoherent scattering amplitude 386 393 Incoherent wave 375 Independent random variables 124 Independent scattering for cylinders 484 485 602 616 Independent scattering for point scatterers 376 Independent scattering for spheres 546 Independent scattering for spheroids 519 532 Independent scattering for trees 643 661 665 667 673 679 682 induced dipole 497 499 Induced polarization 499 Infinite cylinder approximation 25 26 688 Infinite disk approximation 688 Inner product 24 Integral equation 14 Integral equation, formulation 14 Internal field formulation 482 485 Interpolation, function 225 236 240 Interpolation, operator 251 Inverse scattering 16 Ioffe — Regel criterion 376 Joint probability density function 3 384 404 405 Joint probability density function of primary scatterers 391 Joint probability density function of secondary scatterers 392 Kernel 37 135 159 Kernel, singular 32 117 278 Kirchhoff approximation (KA) 145 275 Kramer — Kronig relation 197 Kranendonk — Frenkel algorithm 434 439 Krylov subspace 50 Ladder diagrams 376 Laplace equation 497 499 521 523 Laplace transform 66 Large-scale rough surface 179 Lattice vector 94—97 105 Lattice vector, reciprocal 94 96 105 Lattice, 1-D 64 Lattice, 2-D 102 105 Lattice, 3-D 98 Layered medium 2 7 Layered medium, continuous 2 Layered medium, discrete 2 Layered medium, emission from 2 Legendre function of second kind 523 Legendre function of the first kind 523 Lindenmayer system (L-systein) 642 644 677 Lindenmayer system (L-systein), DOL-systems 645 Lindenmayer system (L-systein), OL-system 645 Lindenmayer system (L-systein), parametric 645 648 Lindenmayer system (L-systein), stochastic 642 643 646 649 669 680 Linear convolution 40 Linear interpolation 226 Linear SAR 578 585 586 Localization, strong 376 Localization, weak 376 LOGO 647 Longitudinal components 70 Lorentz — Lorenz formula 500 Loss tangent 200 329 Low grazing angle (LGA) incidence 119 179 210 354 lsys 649 LU decomposition 186 Magnetic field integral equation (MFIE) 135 280 281 567 Magnetic field integral equation (MFIE) for TE case 158 242 243 Magnetic field integral equation (MFIE) for TM case 158 242 244 Magnetic ring current 635 638 Markov chain 446 Massively parallel processors (MPP) 354 Matched filtering 576 Matrix equation 23 24 37 113 Matrix equation for 2-D dielectric rough surface 329 Matrix equation for DDA 28 35 Matrix equation for EFIE 117 Matrix equation for MFIE 136 159 Matrix equation for periodic surface 74 79 156 Matrix equation for two-media problem 140 143 Matrix equation with BMIA 179 Matrix equation with conjugate gradient method 46 186 Matrix equation with PBTG 252 Matrix equation with single grid 199 Matrix equation with SMCG 285 309 Matrix filling 24 Maxwell equations 2 17 353 496 Maxwell — Garnett mixing formula 500 Mean free path 375 Memory dot 583 Memory effect 553 555 577 580 586 Memory effect, derivation 553 Memory line 552 553 557 562 Message-passing interface (MPI) 354 Metamorphism 424 Method of moments (MoM) 23 Method of moments (MoM) on surface integral equation 86 113 117 136 159 179 269 286 329 Method of moments (MoM) on volume integral equation 514 518 519 Method of moments (MoM), basis function for see "Basis function" Method of moments (MoM), body of revolution code 26 Method of ordered multiple interactions (MOMI) 179 242 245 Method of ordered multiple interactions (MOMI), new Born term in 246 Method of ordered multiple interactions (MOMI), recurrence relation 246 Method of ordered multiple interactions (MOMI), tenth-order 247 Method of ordered multiple interactions (MOMI), zeroth-order 247 Method of steepest descent 47 Metropolis shuffling 414 415 418 424 see "Seaton Metropolis shuffling for cylinders 458 638 Metropolis shuffling for spheroids 444 518 Metropolis shuffling for sticky particles 434 467 Mie scattering 572 573 583 587 Mixing formula for dry snow 6 Mixing formula, classical 456 Mixing formula, Maxwell — Garnett 500 Modal solution 625 630 Mode expansion 156 Mode function 632 Modified power-law spectrum 258 Moisture 82 83 260 342 562 Monostatic radar 582 585 Monte Carlo step (MCS) 446 Multigrid method 197 Multilevel FMM 218 Multilevel FMM with steepest descent (SDFMM) 253 Multilevel FMM, discretization of angles in 222 Multilevel impedance matrix 218—221 229 Multilevel impedance matrix, lower 231 232 Multilevel impedance matrix, upper 221 229 230 231 235 Multiple incoherent scattering 375 Multiple scattering equations see "Foldy — Lax multiple scattering equations" Multiple species of adhesive particles 439 Multiple species, Ornstein — Zernike equation 431 Multipole 485 Multipole, expansion 512 Multipole, radiation from lattice 99 Mutual correlation function 577 N-particle scattering amplitude 374 375 382 384 388 393 N-particle scattering amplitude, first-order 384 390 Near-field see also "Strong interaction" Near-field, integration 363 Near-field, interaction 202 253 254 310 332 Near-field, region 203 Neighborhood distance 37 181 188 273 281 282 285 309 320 Neumann boundary condition 113 116 134 158 159 Neumann function 543 Neumann function, recurrence relation for 542 Neumann iteration method 275 Neumann matrix 78 Neumann series 382 Non-near field 251 327 see Non-near field, interaction 202 235 253 310 331 332 Non-near field, region 203 Object function 445 448 449 Ocean 257 Ocean, permittivity 163 Ocean, spectrum 130 131 Ocean, surface 132 196 326 354 OL-System 645 Optical theorem 28 29 374 379 386 389 394 672 see Optical thickness 617 Ornstein — Zernike equation 407 409 412 425 462 Ornstein — Zernike equation, Generalized 412 Ornstein — Zernike equation, multiple species 431 Overlap of spheroids 445 Pair distribution function 384 404—407 502 Pair distribution function of primary scatterers 391 594 598 601 Pair distribution function of secondary scatterers 389 392 594 599 601 Pair distribution function, Monte Carlo simulations of 414 415 417 418 Pair distribution function, Monte Carlo simulations of, for hard disks 460 Pair distribution function, Monte Carlo simulations of, for hard spheres 419—424 Pair distribution function, Monte Carlo simulations of, for sticky disks 469 Pair distribution function, Monte Carlo simulations of, for sticky spheres 427 429 439 443 Parallel computing 354 356 358 359 Parallel plate waveguide 622 638 Parallelepiped 22 31 35 Parametric L-system 645 648 Parametric OL-system 645 Particle energy state (PES) 465 Passive remote sensing 113 336 339 456 Passive remote sensing of Antarctica 10 Passive remote sensing of ocean surfaces 163 Passive remote sensing of rough surfaces 62 Passive remote sensing of soil 341 349 Percus — Yevick (PY) approximation 407 408 414 Percus — Yevick (PY) approximation for hard disks 461 Percus — Yevick (PY) approximation for sticky particles 425 430 439 Percus — Yevick (PY) integral equation 462 Percus — Yevick (PY) pair distribution function 496 505 Percus — Yevick (PY) pair distribution function for hard disks 463 Percus — Yevick (PY) pair distribution function for hard spheres 409—411 414 418 Percus — Yevick (PY) pair distribution function for multiple sizes 411 414 Percus — Yevick (PY) pair distribution function for sticky spheres 424 425 428 431 432 Periodic boundary condition 68 102 Periodic boundary condition in particle position generation 416 459 Periodic boundary condition in random rough surface simulation 154 157 190 Periodic convolution 40 45 Periodic Green's function 62 64 65 67 71 85 86 93 98 107 155 Periodic Green's function in spatial domain 65 Periodic Green's function in spectral domain 65 105 Periodic Green's function, 2-D 64 Periodic Green's function, 3-D in 2-D lattice 102 Periodic Green's function, 3-D in 3-D lattice 98 Periodic potential 95
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