A uniform asymptotic solution for whispering gallery mode radiation from the aperture plane of a cylindrically curved conducting surface

In this paper, by extending the analysis method of Idemen and Felsen, the uniform asymptotic solution is derived for the WG mode radiation field applicable uniformly in the transition region near the geometrical boundaries produced by the incident modal ray on the edge of the curved surface comprising the WG mode. The uniform solution is represented by the summation of the geometrical ray solution converted from the modal ray of the WG mode and the uniform edge diffracted ray solution scattered at the edge. By comparing with the reference solution obtained numerically from the integral representation of the radiation field, the validity and the utility of the uniform asymptotic solution proposed in the present study is confirmed