An Exact Line Integral Representation of the Physical Optics Far Field From Plane Pec Scatterers Illuminated by Hertzian Dipoles

Abstract

Abstract|We derive a line integral representation of the physical optics scattered far eld that yields the exact same result as the conventional surface radiation integral. This representation applies to a perfectly electrically conducting plane scatterer illuminated by electric or magnetic Hertzian dipoles. The source and observation points can take on almost arbitrary positions. To illustrate the exactness and e¯ciency of the new line integral, numerical comparisons with the conventional surface radiation integral are carried out.

An exact line integral representation of the magnetic physical optics scattered field

“…Although the numerical example of the letter involves the scattering by a rectangular plate the PO line integral representation holds for arbitrarily shaped planar plates. The derivation of a PO line integral representation for the case in which the observation point is located in the far field has recently been completed, and the result published elsewhere [11]. where RS = rS 0 r and the integrals I1, I2, and I9 are given by …”

Computation of Physical Optics Integral by Levin's Integration Algorithm

“…In this method, Fubini's and Stokes theorems are employed to convert the surface integrals into a summation of oscillatory line integrals which are computed by Filon's method [7]. In addition to this approach, some other methods have been employed to reduce the surface integral to a line integral [8,9].…”