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

Abstract

Abstract-An exact line integral representation is derived for the magnetic physical optics field scattered by a perfectly electrically conducting planar plate illuminated by electric or magnetic Hertzian dipoles. The positions of source and observation points can be almost arbitrary. Numerical examples are presented to illustrate the exactness of the line integral representation.

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

“…However, in many applications it is su¯cient to know the PO scattered far eld. The general expressions in [4] and [5] obviously hold also for the case of a far-eld observation point. However, these general expressions are numerically inconvenient in this case, since they contain several terms which do not contribute to the far eld, and since they are subject to inaccuracies resulting from the Line integral representation of the physical optics far¯eld 53 necessary use of a large but nite observation distance.…”

“…On the basis of the work by Asvestas [1{3], Meincke and Breinbjerg [4] obtained a line integral representation of the electric PO scattered eld from a plane perfectly electrically conducting (PEC) plate illuminated by an electric Hertzian dipole. The procedure employed in [4] was extended in [5] where a line integral representation of the magnetic PO eld scattered by a plane PEC plate illuminated by either an electric or a magnetic Hertzian dipole was reported. By a combination of the results published in [4] and [5] it is furthermore possible to calculate, as a line integral, the electric PO scattered eld from a plane PEC plate illuminated by a magnetic Hertzian dipole.…”

“…Apart from a few limitations, the results [4,5] apply to arbitrary observation points. However, in many applications it is su¯cient to know the PO scattered far eld.…”

“…In contrast to the general expression, the new line integral representation includes the distance-dependent part of the far eld as an explicit factor. The derivation of the new expressions in this paper is organized as follows: In Section 2 a brief summary of the general expression for the case of the electric Hertzian dipole illumination in [5] is made.…”

“…The derivation comprises three steps. First, the magnetic PO scattered eld for an electric Hertzian dipole illumination [5] is specialized to fareld observation points. Second, the associated electric PO scattered far eld is found through the application of the plane-wave relation.…”