High Frequency Scattering of Waves by a Spherical Cap Having any Face Impedances.

摘要

The influence of the impedance boundary conditions, which include different face impedances on opposite sides of the boundary surface, on scattered field is obtained in this report by means of the Wiener-Hopf-Hilbert technique. The scattering of rotationally symmetric high-frequency fields by a spherically curved sheet with different face impedances are considered and the explicit expressions are derived. The cases of the diffraction of creeping waves, whispering gallery modes, and space rays are considered separately. When the radius of the sphere becomes infinitely large, the expressions reduce to those of the classical half-plane problems. The results are independent of the actual source configuration and may be used in more complicated situations since high-frequency diffraction is a local phenomenon with respect to the basic postulates of the GDT.