Self-patch integrals in transient electromagnetic scattering

Integrability and Self-Similarity in Transient Stimulated Raman Scattering

The phenomenon of stimulated Raman scattering (SRS) can be described by three coupled PDEs which define the pump electric field, the Stokes electric field, and the material excitation as functions of distance and time. In the transient limit these equations are integrable, i.e., they admit a Lax pair formulation. Here we study this transient limit. The relevant physical problem can be formulate...

An analysis of electromagnetic scattering from finite-width strips

A New Theorem Concerning Scattering of Electromagnetic Waves in Multilayered Metamaterial Spherical Structures

The proposed theorem in this paper is indicative of a kind of duality in the propagation of waves in the dual media of and in the spherical structures. Independent of wave frequency, the number of layers, their thickness, and the type of polarization, this theorem holds true in case of any change in any of these conditions. Theorem: Consider a plane wave incident on a multilayered spheric...

Electromagnetic scattering in polarizable backgrounds

We develop a fully vectorial formalism for the investigation of electromagnetic scattering in polarizable backgrounds, i.e., where the scatterers are not in vacuum but situated in a medium with a dielectric permittivity different from unity. Our approach is based on the Green’s tensor technique and the corresponding Green’s tensors for two-dimensional ~2D! and three-dimensional ~3D! systems are...

Low-Frequency Electromagnetic Scattering

The main result of this paper is to reduce the calculation of higher-order terms in the asymptotic expansions of the electric and magnetic elds at low frequencies to the solutions of certain canonical problems. We also provide a new and simple variational proof of the convergence of the electric and magnetic elds solutions of the scattering problem for the Maxwell equations as the frequency goe...