Numerical analysis of singularity exponent for sharp corners

Abstract

Singularity behavior of electromagnetic field near sharp edges and corners has been a crucial topic in microwave field theory and analyses. The magnitude of field components in the neighborhood of a sharp corner may increase rapidly as the point approaches the tip, which can be expressed in terms of ρ τ−1 , where ρ represents the distance from the tip of the corner and τ is a characteristic value of the exponent, which depends on materials and the local structure of the corner. Having the τ values for various corners as a preliminary knowledge, we can devise more accurate and more efficient analyses of microwave problems. This paper presents an improved numerical analysis method for τ of complex corners based on finite-difference simulation.