Abstract
The study of the refraction and scattering of waves by penetrable objects has been of large interest to physicists and mathematicians since about one century. Many problems coming from microwave techniques, non-destructive testing theory, geophysics, and other fields of engnineering raised new questions particularly with respect to the asymptotic behavior of scalar and rectorial wave-fields near geometrical singularities, like edges and vertices, on one side, and of the far-field patterns, on the other side. Most recently, the small- and long-time behavior of periodic time-dependent scattered fields is in the center of mathematical interest. In this talk an overview of the state of the art will be given and a number of unsolved problems listed.
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© 1994 Springer Fachmedien Wiesbaden
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Meister, E. (1994). Some Solved and Unsolved Canonical Transmission Problems of Diffraction Theory. In: Jentsch, L., Tröltzsch, F. (eds) Problems and Methods in Mathematical Physics. TEUBNER-TEXTE zur Mathematik. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-85161-1_8
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DOI: https://doi.org/10.1007/978-3-322-85161-1_8
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