E-Polarized Diffraction by a Lossy Dielectric Wedge

Abstract

E-polarized diffraction by a lossy dielectric wedge is analysed using the hidden rays of diffraction (HRD) technique. After the ordinary ray-tracing is terminated in the physical region, the hidden ray-tracing is added in the complementary region. The one-to-one correspondence with the geometrical rays renders the diffraction coefficients to be expressed by the finite sum of cotangent functions, of which angular period is adjusted to satisfy the edge condition at the wedge tip. Performing the uniform asymptotic integration to the diffraction coefficients, one may obtain the edge-diffracted fields. In comparison with the conventional physical optics (PO) solution, the HRD edge-diffracted fields approach gradually to the exact solution to the perfectly conducting wedge as the imaginary part of relative dielectric constant increases from 1 to 100.