Symmetry, Unitarity, and Geometry in Electromagnetic Scattering
Abstract
Upon defining vector spherical partial waves {Ψ_{n}} as a basis, a matrix equation is derived describing scattering for general incidence on objects of arbitrary shape. With no losses present, the scattering matrix is then obtained in the symmetric, unitary form S=Q^^{'*}Q^^{*}, where (perfect conductor) Q^ is the Schmidt orthogonalization of Q_{nn'}=(kπ)dσ.[(∇×ReΨ_{n})×Ψ_{n'}], integration extending over the object surface. For quadric (separable) surfaces, Q itself becomes symmetric, effecting considerable simplification. A secular equation is given for constructing eigenfunctions of general objects. Finally, numerical results are presented and compared with experimental measurements.
 Publication:

Physical Review D
 Pub Date:
 February 1971
 DOI:
 10.1103/PhysRevD.3.825
 Bibcode:
 1971PhRvD...3..825W