New Types of Orthonormal Electromagnetic Beams in Complex Media and Free Space
Abstract : Vector plane-wave superpositions defined by a given set of orthonormal scalar functions on a two- or three- dimensional manifold are treated. We present a technique for composing orthonormal electromagnetic beams in complex media and free space. New families of exact time-harmonic solutions of the homogeneous Maxwell equations in linear media (isotropic, chiral, anisotropic, and bianisotropic) and free space, which describe orthonormal electro magnetic beams, are obtained.
The Application of Orthonormal Electromagnetic Beams to Characterizing Complex Media
Abstract : This report discusses an approach to characterizing complex media, based on the use of new families of orthonormal electromagnetic beams. Each family consists of orthonormal exact solutions of Maxwell's equations, which differ fundamentally from the well-known approximate solutions - the Hermite-Gaussian and Laguerre-Gaussian beams. A promising type of such orthonormal beams-beams defined by the spherical harmonics-is discussed. The proposed approach makes it possible to use beams focused into a small spot on the sample surface.
Scattering of Transient Electromagnetic Waves in Reciprocal Bi-Isotropic Media
In this paper propagation of transient electromagnetic waves in a reciprocal biisotropic medium is presented. The constitutive relations are convolution integrals with two susceptibility kernels that model the medium. The propagation problem is solved by the introduction of a wave-splitting technique. This wave-splitting is used to solve the propagation problem using either an imbedding approach or a Green's function technique. In particular, the scattering problem of an electromagnetic wave that impinges normally on a slab of finite or infinite extent is solved. The slab is assumed to be inhomogeneous with respect to depth. The scattering problem consists of finding the reflected and the transmitted fields and the generic quantities are the reflection and the transmission kernels of the medium. Explicit expressions for the rotation and the attenuation of the wave front is presented for the inhomogeneous slab. In the special case of a homogeneous infinite slab it is proved that the reflection kernel satis...