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This comprehensive text thoroughly covers fundamental wave propagation behaviors and computational techniques for waves in inhomogeneous media. The author describes powerful and sophisticated analytic and numerical methods to solve electromagnetic problems for complex media and geometry as well. Problems are presented as realistic models of actual situations which arise in the areas of optics, radio wave propagation, geophysical prospecting, nondestructive testing, biological sensing, and remote sensing. Key topics covered include: analytical methods for planarly, cylindrically, and spherically layered media; transient waves, including the Cagniard de Hoop method; variational methods for the scalar wave equation and the electromagnetic wave equation; mode-matching techniqes for inhomogeneous media; the Dyadic Green's function and its role in simplifying problem-solving in inhomogeneous media; integral equation formulations and inverse problems; and time domain techniques for inhomogeneous media. This book will be of interest to electromagnetics and remote sensing engineers, physicists, scientists, and geophysicists. This IEEE Press preprinting of the 1990 version published by Van Nostrand Reinhold incorporates corrections and minor updating.