Phase-space Green’s functions for modeling time-harmonic scattering from smooth inhomogeneous objects

Abstract

The paper deals with inhomogeneous medium Green’s functions in the phase-space domain by which the phase-space (local) spectral distributions of the field, scattered by a high contrast object due a genetic time-harmonic incidence, are evaluated. Two forms of phase-space Green’s functions are considered: one that links induced sources in the configuration-space to phase-space distributions of the scattered field, while the other one directly links the phase-space distribution of the incident field to phase-space distributions of the scattered field. The scattering mechanism is described in terms of local samplings of the object function which are localized in the object domain according to the scattered- and incidence-processing parameters. Applications in the field of inverse scattering may be expected to yield fast and efficient algorithms, due to the capability of analytically evaluating (forward) scattering Green’s functions.