Geometrical theory of diffracted rays, orbiting and complex rays
نویسندگان
چکیده
منابع مشابه
On the Theory of Complex Rays
The article surveys the application of complex ray theory to the scalar Helmholtz equation in two dimensions. The rst objective is to motivate a framework within which complex rays may be used to make predictions about waveeelds in a wide variety of geometrical conngurations. A crucial ingredient in this framework is the r^ ole played by Stokes' phenomenon in determining the regions of existenc...
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The extension of the Geometrical Theory of Diiraction to complex rays is considered. The key diierence with real rays arises in the determination of the regions of existence of the incident and reeected elds, which are governed by Stokes phenomenon. The procedure is demonstrated using the simple example of diiraction by a nite plate.
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A family of orbiting resonances in molecular scattering is globally described by using a single pole moving in the complex angular momentum plane. The extrapolation of this pole at negative energies gives the location of the bound states. Then a single pole trajectory, that connects a rotational band of bound states and orbiting resonances, is obtained. These complex angular momentum singularit...
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ژورنال
عنوان ژورنال: Russian Journal of Mathematical Physics
سال: 2006
ISSN: 1061-9208,1555-6638
DOI: 10.1134/s1061920806030034