Scattering of transient electromagnetic waves in reciprocal bi-isotropic media

Författare

Gerhard Kristensson
Sten Rikte

Summary, in English

In this paper propagation of transient electromagnetic waves in a reciprocal

bi-isotropic 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 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 satisfies a non-linear Volterra equation of the second kind, very suitable

for numerical calculations. It is also proved that no cross polarization contribution

appears for the homogeneous slab. Several numerical computations

illustrate the analysis.

Avdelning/ar