Investigation of Catastrophe Parameters, Describing Structurally-Stable Focusings of Primary and Secondary Edge Waves by Local Asymptotic Method

Abstract

To describe the diffraction focusings of electromagnetic fields in the case when the family of primary (geometrical-optical) and secondary (edge) rays form a focusing of the cuspoid type, a method of local asymptotics has been developed. Expressions for the unfolding coefficients, the functional modulus, and the traveling wave phase are obtained.