Scattering of Electromagnetic Waves, Numerical Simulations, Vol. 1 Book

	Preface
Ch. 1	Monte Carlo Simulations of Layered Media	1
	One-Dimensional Layered Media with Permittivity Fluctuations	2
	Random Discrete Layering and Applications	8
Ch. 2	Integral Equation Formulations and Basic Numerical Methods	13
	Integral Equation Formulation for Scattering Problems	14
	Method of Moments	23
	Discrete Dipole Approximation (DDA)	27
	Product of Toeplitz Matrix and Column Vector	37
	Conjugate Gradient Method	46
Ch. 3	Scattering and Emission by a Periodic Rough Surface	61
	Dirichlet Boundary Conditions	62
	Dielectric Periodic Surface: T-Matrix Method	68
	Scattering of Waves Obliquely Incident on Periodic Rough Surfaces: Integral Equation Approach	85
	Ewald's Method	93
Ch. 4	Random Rough Surface Simulations	111
	Perfect Electric Conductor (Non-Penetrable Surface)	114
	Two-Media Problem	137
	Topics of Numerical Simulations	154
	Microwave Emission of Rough Ocean Surfaces	163
	Waves Scattering from Real-Life Rough Surface Profiles	166
Ch. 5	Fast Computational Methods for Solving Rough Surface Scattering Problems	177
	Banded Matrix Canonical Grid Method for Two-Dimensional Scattering for PEC Case	179
	Physics-Based Two-Grid Method for Lossy Dielectric Surfaces	196
	Steepest Descent Fast Multipole Method	212
	Method of Ordered Multiple Interactions (MOMI)	242
	Physics-Based Two-Grid Method Combined with the Multilevel Fast Multipole Method	249
Ch. 6	Three-Dimensional Wave Scattering from Two-Dimensional Rough Surfaces	267
	Scattering by Non-Penetrable Media	270
	Integral Equations for Dielectric Surfaces	293
	Two-Dimensional Rough Dielectric Surfaces with Sparse Matrix Canonical Grid Method	304
	Scattering by Lossy Dielectric Surfaces with PBTG Method	326
	Four Stokes Parameters Based on Tangential Surface Fields	350
	Parallel Implementation of SMCG on Low Cost Beowulf System	354
Ch. 7	Volume Scattering Simulations	371
	Combining Simulations of Collective Volume Scattering Effects with Radiative Transfer Theory	373
	Foldy-Lax Self-Consistent Multiple Scattering Equations	376
	Analytical Solutions of Point Scatterers	382
	Monte Carlo Simulation Results of Point Scatterers	392
Ch. 8	Particle Positions for Dense Media Characterizations and Simulations	403
	Pair Distribution Functions and Structure Factors	404
	Percus-Yevick Pair Distribution Functions for Multiple Sizes	411
	Monte Carlo Simulations of Particle Positions	414
	Sticky Particles	424
	Particle Placement Algorithm for Spheroids	444
Ch. 9	Simulations of Two-Dimensional Dense Media	453
	Random Positions of Cylinders	458
	Monte Carlo Simulations of Scattering by Cylinders	469
	Sparse-Matrix Canonical-Grid Method for Scattering by Many Cylinders	486
Ch. 10	Dense Media Models and Three-Dimensional Simulations	495
	Simple Analytical Models For Scattering From a Dense Medium	496
	Simulations Using Volume Integral Equations	512
	Numerical Simulations Using T-Matrix Formalism	533
Ch. 11	Angular Correlation Function and Detection of Buried Object	551
	Two-Dimensional Simulations of Angular Memory Effect and Detection of Buried Object	553
	Angular Correlation Function of Scattering by a Buried Object Under a 2-D Random Rough Surface (3-D Scattering)	564
	Angular Correlation Function Applied to Correlation Imaging in Target Detection	575
Ch. 12	Multiple Scattering by Cylinders in the Presence of Boundaries	593
	Scattering by Dielectric Cylinders Above a Dielectric Half-Space	594
	Scattering by Cylinders in the Presence of Two Relative Boundaries	622
Ch. 13	Electromagnetic Waves Scattering by Vegetation	641
	Plant Modeling by Using L-Systems	644
	Scattering from Trees Generated by L-Systems Based on Coherent Addition Approximation	654
	Coherent Addition Approximation with Attenuation	667
	Scattering from Plants Generated by L-Systems Based on Discrete Dipole Approximation	669
	Rice Canopy Scattering Model	685
	Index	693