Erratum: Transition operators in electromagnetic-wave diffraction theory. II. Applications to optics

Abstract

This paper is the second of a series. The first [G. E. Hahne, Phys. Rev. A 45, 7526 (1992)] developed a general theory of the transition operator approach to diffraction of time-harmonic electromagnetic waves from fixed obstacles, such that the response of the obstacle, denoted by \ensuremath{\Omega}, to an impinging electromagnetic signal with wave number ${\mathit{k}}_{0}$ was simulated by nonlocal, homogeneous Leontovich (i.e., impedance) boundary conditions on the obstacle's surface, which surface is called \ensuremath{\partial}\ensuremath{\Omega}. Moreover, the exterior region, called ${\mathrm{\ensuremath{\Omega}}}^{\mathrm{ex}}$, was presumed to be unbounded empty space, and has an electromagnetic response that can be expressed in terms of the so-called radiation impedance operator, denoted Z${\mathrm{\ifmmode \breve{}\else \u{}\fi{}}}_{\mathit{k}0}^{+}$; Z${\mathrm{\ifmmode \breve{}\else \u{}\fi{}}}_{\mathit{k}0}^{+}$ is a certain invertible, linear functional operator that maps the space of complex tangent-vector fields on \ensuremath{\partial}\ensuremath{\Omega} into itself.