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IEICE Transactions on Electronics 2008 E91-C(1):26-33; doi:10.1093/ietele/e91-c.1.26
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Copyright © 2008 The Institute of Electronics, Information and Communication Engineers

Special Section on Recent Progress in Electromagnetic Theory and Its Application -- Papers -- High-Frequency Asymptotic Methods

Novel Uniform Asymptotic Solutions for the Back Scattering of a Whispering Gallery Mode by a Cylindrically Curved Conducting Sheet

Toshihide AJIKI1 and Toyohiko ISHIHARA1

1 The authors are with the Department of Communication Engineering, National Defense Academy, Yokosuka-shi, 239-8686 Japan. E-mail: ishihara{at}cc.nda.ac.jp


  Abstract

We have derived the novel extended UTD (Uniform Geometrical Theory of Diffraction) solution and the novel modified UTD solution for the back scattering of an incident whispering gallery (WG) mode on the edge of a cylindrically curved conducting sheet. By comparing with the reference solution obtained from the integral representation of the scattered field by integrating numerically along the integration path, we have confirmed the validity and the utility of the novel asymptotic solutions proposed in the present study. It is shown that the extended UTD solution can be connected smoothly to the modified UTD solution on the geometrical boundary separating the edge-diffracted ray and the surface-diffracted ray.

Key Words: uniform asymptotic solution, UTD (Uniform Geometrical Theory of Diffraction), back scattering, whispering gallery mode

Manuscript received March 26, 2007.


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