Gang Bao 1998 Inverse Problems 14 787 doi:10.1088/0266-5611/14/4/002
Gang Bao
Show affiliationsConsider the diffraction of a time harmonic wave incident on a grating (periodic) structure. An inverse diffraction problem is to determine the grating surface from measured reflected and transmitted waves away from the structure. The surface is characterized completely by the dielectric coefficient of the medium and thus by the coefficients of the model equation. The goal of this paper is to examine regularity properties for the forward map which maps the coefficients to the solutions of the model, where no restrictions on the smoothness of the grating (interface) surfaces are assumed. The results are crucial in the study of the inverse problem via optimization methods.
41.20.Jb Electromagnetic wave propagation; radiowave propagation
78A45 Diffraction, scattering (See also 34E20 for WKB methods)
Issue 4 (August 1998)
Received 28 August 1997, in final form 10 March 1998
Gang Bao 1998 Inverse Problems 14 787
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