Obtuse-angled penetrable wedges: a time domain solution for the diffraction coefficients

Abstract

Closed form solutions are proposed for evaluating the time domain diffraction coefficients to be used when plane waves are orthogonally incident on obtuse-angled penetrable wedges. They are obtained by performing the inverse Laplace transform of the corresponding frequency domain solutions related to the internal region of the wedge and the surrounding space. The knowledge of the analytical expressions of the diffraction coefficients allows one to evaluate the response to an arbitrary incident transient field via a convolution integral. Numerical tests and comparisons with finite-difference time-domain results confirm the effectiveness of the proposed solutions.

Keywords:

• scattering
• diffraction
• dielectric wedge
• time domain