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periodic, see Periodic Green's function. reflected, 608. response, 623, 624, 629, 630. singularity in, 20, 86, 115, 116, translational invariance of, 554. Taylor expansion of, 180, 181. 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. asymptotic, 189, 480. integral identity, 93, 99. integral representation, 93. recurrence relation for, 99. small argument, 474. 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. 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. decomposition, 245. multilevel, see Multilevel impedance matrix. with numerical integration, 37, 143, 160. Incoherent bistatic scattering coefficient, 613, 614. bistatic scattering intensity, 386. component, 374. field, 600. intensity, 481, 502, 503, 508, 602. phase function, 396. power, 517. scattered field, 508.
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699 Ladder diagrams, 376. Laplace equation, 497, 499, 521, 523. Laplace transform, 66. Large-scale rough surface, 179. Lattice 1-D, 64. 2-D, 102, 105. 3-D, 98. Lattice vector, 94-97, 105. reciprocal, 94, 96, ] 05. Layered medium, 2, 7. continuous, 2. discrete, 2. emission from, 2. Legendre function of second kind, 523. of the first kind, 523. Lindenmayer system (L-system), 642, 644, 677. DOL-systems, 645. OL-system, 645. parametric, 645, 648. stochastic, 642, 643, 646, 649, 669, 680. Linear convolution, 40. interpolation, 226. SAR, 578, 585, 586. Localization strong, 376. weak, 376. LOGO, 647. Longitudinal components, 70. Lorentz-Lorenz formula, 500. Loss tangent, 200, 329. Low grazing angle (LGA) incidence, 119, 179, 210, 354. Isys,649. LU decomposition, 186. Magnetic field integral equation (MFIE), 135, 280, 281, 567. for TE case, 158, 242, 243. for TM case, 158, 242, 244. Magnetic ring current, 635, 638.
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scattered power, 503. scattering amplitude, 386, 393. wave, 375. Independent random variables, 124. Independent scattering for cylinders, 484, 485, 602, 616. for point scatterers, 376. for spheres, 546. for spheroids, 519, 532. for trees, 643, 661, 665, 667, 673, 679, 682. Induced dipole, 497, 499. polarization, 499. Infinite cylinder approximation, 25, 26, 688. Infinite disk approximation, 688. Inner product, 24. Integral equation, 14. electric field, see Electric field integral equation (EFIE). formulation, 14. magnetic field, see Magnetic field integral equation (MFIE). surface, see Surface integral equation. volume, see Volume integral equation. Internal field formulation, 482, 485. Interpolation function, 225, 236, 240. operator, 251. Inverse scattering, 16. Ioffe-Regel criterion, 376. Joint probability density function, 3, 384, 404, 405. of primary scatterers, 391. of secondary scatterers, 392. Kernel, 37, 135, 159. singular, 32, 117, 278. Kirchhoff approximation (KA), 145, 275. Kramer-Kronig relation, 197. Kranendonk-Frenkel algorithm, 434, 439. Krylov subspace, 50.
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Markov chain, 446. Massively parallel processors (MPP), 354. Matched filtering, 576. Matrix equation, 23, 24, 37, 113. for 2-D dielectric rough surface, 329. for DDA, 28, 35. for EFIE, 117. for MFIE 136, 159. for periodic surface, 74, 79, 156. for two-media problem, 140, 143. with BMIA, 179. with conjugate gradient method, 46, 186. with PBTG, 252. with single grid, 199. 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. derivation, 553. Memory line, 552, 553, 557, 562. Message-passing interface (MPI), 354. Metamorphism, 424. Method of moments (MoM), 23. basis function for, see Basis function. body of revolution code, 26. on surface integral equation, 86, 113, 117, 136, 159, 179, 269, 286, 329. on volume integral equation, 514, 518, 519. Method of ordered multiple interactions (MOMI), 179, 242, 245. new Born term in, 246. recurrence relation, 246. tenth-order, 247. zeroth-order, 247. Method of steepest descent, 47. Metropolis shuffling, 414, 415, 418, 424. for cylinders, 458, 638. for spheroid~, 444, 518. for sticky particles, 434, 467.
see also Kranendonk-Frenkel algorithm, Seaton-Glandt algorithm. Microwave remote sensing active, see Active remote sensing. passive, see Passive remote sensing. Mie scattering, 572, 573, 583, 587. Mixing formula classical, 456. for dry snow, 6. 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. discretization of angles in, 222. with steepest descent (SDFMM), 253. Multilevel impedance matrix, 218-221, 229. lower, 231, 232. 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. Ornstein-Zernike equation, 431. Multipole, 485 expansion, 512. radiation from lattice, 99. Mutual correlation function, 577. N-particle scattering amplitude, 374, 375, 382, 384, 388, 393. first-order, 384, 390. Near-field integration, 363. interaction, 202, 253, 254, 310, 332. region, 203. see also Strong interaction.
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