Symmetry, Unitarity, and Geometry in Electromagnetic Scattering

Details Symmetry, Unitarity, and Geometry in Electromagnetic Scattering Symmetry, Unitarity, and Geometry in Electromagnetic Scattering

Feb 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971phrvd...3..825w&link_type=abstract

Physical Review D, vol. 3, Issue 4, pp. 825-839

Physics

208

Scientific paper

Upon defining vector spherical partial waves {Ψn} 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 Qnn'=(kπ)dσ.[(∇×ReΨn)×Ψn'], 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.

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