Abstract

AbstractThe electromagnetic field generated in a concave boundary by a magnetic line current source placed on a semicylindrical conducting concave boundary is analyzed by means of three representations. The effectiveness and physical interpretation of these representations are discussed. If the product of the wave number and the radius is sufficiently large, the conventional representation by the geometric optical rays and the integral‐type interference wave cannot be applied well. The representation by means of a combination of the geometric optical rays, lower‐order whispering gallery modes and the error‐correcting term has simple calculations and good accuracy. The mutual relationship between the geometric optical rays and the modes is found and the propagation characteristics within the boundary layer characteristic to the concave boundary are addressed.

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