The S matrix is first introduced within the framework of the angular spectrum representation of wave fields interacting with linear dielectric bodies of arbitrary shape. By using some universal properties of the S matrix, a number of relations involving certain generalized reflection and transmission coefficients are derived. These relations may be regarded as generalizations of two well-known classic reciprocity relations due to G. G. Stokes. Two reciprocity relations involving the reflection and the transmission coefficients for interaction of a plane electromagnetic wave with a stratified dielectric medium are obtained as special cases.
© 1986 Optical Society of America
Original Manuscript: February 6, 1986
Manuscript Accepted: June 18, 1986
Published: December 1, 1986
Manuel Nieto-Vesperinas and Emil Wolf, "Generalized Stokes reciprocity relations for scattering from dielectric objects of arbitrary shape," J. Opt. Soc. Am. A 3, 2038-2046 (1986)