May 2014
Intermediate
496 pages
12h 21m
English
Content preview from Fundamentals of the Physical Theory of Diffraction, 2nd Edition
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4 Wedge Diffraction: Radiation by Fringe Components of Surface Sources
We have now reached the moment when we can construct the integral and asymptotic expressions for a field radiated by the nonuniform/fringe component of the surface sources which are induced at the wedge by the incident wave. The exact expressions for the total field generated around the wedge have been derived in Chapter 2. The physical optics (PO) part of this field (which is generated by the uniform component of the surface sources) has been studied in Chapter 3. The contribution to the diffracted field by the nonuniform/fringe component is the difference between the exact total field and its PO part. This contribution is investigated in this chapter.
4.1 Integrals and Asymptotics
According to the exact solution [see Equations (2.40), (2.41), and (2.52) to (2.57)], the total field around the wedge consists of the diffracted and geometrical optics parts,
where uds, h is described by the functions v(kr, ψ), and ugos, h is the sum of the incident and reflected plane waves. Equations (3.37) to (3.42) represent the scattered field in the PO approximation. By summation with the ...
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