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Resonant frequencies for diffraction gratings

✍ Scribed by G. Bao; K. Ramdani

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
416 KB
Volume
15
Category
Article
ISSN
0893-9659

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✦ Synopsis

This note is devoted to a study of resonance phenomena in electromagnetic gratings. In particular, a characterization of the scattering frequencies (the complex values of the frequency inducing resonant behaviors) is given by using a variational method. After the diffraction problem is reduced to a bounded domain, we extend it to complex values of the frequency. The existence of the resolvant of the diffraction problem is established in the upper complex half-plane. It is shown that this resolvant can be extended meromorphically to the domain C\R+. In addition, the scattering frequencies, which correspond to the poles of this extension, solve a nonlinear eigenvalue problem.

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