An integral equation for electromagnetic wave scattering from a dielectric cylinder

Abstract

This paper describes an analysis of the problem of electromagnetic scattering by a dielectric cylinder with an arbitrary cross section by means of an integral equation a‐long the boundary. The integral equation used by Wu and Tsai for two‐dimensional boundaries for TM‐wave scattering from biological bodies is superior in simplicity to Muller's integral equation. However, the solution to the former has the disadvantage that it is susceptible to resonance of the interior region. To remove such resonance, it is effective if the boundary conditions are extended so that additional equations are included which ensure that the field inside the scatterer is zero. However, a basis for selecting the interior points is not clarified. On the other hand, for problems involving conductors, it is well known that mixing of the resonant solutions occurs in the process of solving the integral equation on the boundary. A number of methods have been reported on the construction of integral equations unaffected by the interior resonance. From this point of view, an integral equation is derived which satisfies all the boundary conditions from the integral equation by Wu and Tsai. By means of numerical calculations, it is confirmed that this integral equation is not affected by the interior resonance.