Microscopic Ewald–Oseen Extinction Theorem: Coupled-Antenna Theory

Abstract

We know from (9.30) that the transverse part of the electric field satisfies the inhomogeneous vectorial Helmholtz equation

$$({\nabla }^{2} + {q}_{ 0}^{2})\vec{{E}}_{\mathrm{ T}}(\vec{r};\omega ) = -i{\mu }_{0}\omega \vec{{J}}_{\mathrm{T}}(\vec{r};\omega )$$

(13.1)

in the space–frequency domain.