The evolution of phenomenological and microphysical approaches to radiative transfer (RT) and directional radiometry (DR) is outlined. The importance of the seminal 1887 paper by Eugen von Lommel is discussed. It is shown that owing to recent advances, the disciplines of RT and DR have finally become legitimate branches of statistical electromagnetics.

Multicore systems are rapidly becoming a dominant industry trend for accelerating electromagnetics computations, driving researchers to address parallel programming paradigms early in application development. We present a new sparse representation and a two level partitioning scheme for efficient sparse matrix-vector multiplication on multicore systems, and show results for a set of finite elem...

Time-harmonic waves are scattered by obstacles, through which waves can also travel. Various examples from acoustics, elastodynamics and electromagnetics are discussed, including imperfect interfaces, chiral materials and wood. The paper gives a very subjective overview but with emphasis on the contributions and influence of Ralph Kleinman.

This paper is concerned with the derivation of a priori and a posteriori error bounds for a class of linear functionals arising in electromagnetics which represent the far-field pattern of the scattered electromagnetic field. The a posteriori error bound is implemented into an adaptive finite element algorithm, and a series of numerical experiments is presented.

A type of bell-shaped compact high order window function ψ(x, y) is studied, and closed analytic and approximation formulas are derived for its Hankel transforms. Applications of these results are presented as fast algorithms for calculating dyadic Green’s functions for electromagnetic scattering in multilayered media. Numerical results in electromagnetics are provided to demonstrate the accura...