Fundamentals of the Physical Theory of Diffraction
Chapter One
Basic Notions in Acoustic and
Electromagnetic Diffraction
Problems
1.1 FORMULATION OF THE DIFFRACTION PROBLEM
This book develops the Physical Theory of Diffraction (PTD) for both acoustic and
electromagnetic waves diffracted at perfectly reflecting objects.
In the case of two-dimensional (2-D) problems, this theory is valid for both electromagnetic
and acoustic waves.
First we present the theoretical fundamentals for acoustic waves and then for electromagnetic
waves. In the linear approximation, the velocity potential u of harmonic
acoustic waves satisfies the wave equation (Kinsler et al., 1982; Pierce, 1994)
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (1.1)
Here k = 2[pi]/[lambda] = [omega]/c is the wave number, [lambda] is the wavelength, [omega] the angular
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