Short-wave scattering near the boundary inflection point
Journal Article
·
· J. Sov. Math.; (United States)
The authors investigate the problem of tangential incidence of short waves onto a surface with an inflection point. Formal solutions of the corresponding equation are constructed near the inflection point in the form of a quasihomogeneous function series. The formal solution is joined with the geometrical optics solution far from the inflection point of the boundary. The problem is restated as a scattering problem for the Schrodinger equation; existence, uniqueness, and smoothness theorems are proved. The formal asymptotic expansion are proved.
- OSTI ID:
- 5742199
- Journal Information:
- J. Sov. Math.; (United States), Vol. 38:1; Other Information: Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR; 148: 152-166(1985)
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTROMAGNETIC RADIATION
SCATTERING
SCHROEDINGER EQUATION
SPACE-TIME
ASYMPTOTIC SOLUTIONS
BOUNDARY CONDITIONS
DIRICHLET PROBLEM
EIKONAL APPROXIMATION
NONLINEAR OPTICS
SCATTERING AMPLITUDES
TRANSPORT THEORY
WAVE FORMS
WAVE PROPAGATION
WAVELENGTHS
AMPLITUDES
DIFFERENTIAL EQUATIONS
EQUATIONS
OPTICS
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS
WAVE EQUATIONS
645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory
ELECTROMAGNETIC RADIATION
SCATTERING
SCHROEDINGER EQUATION
SPACE-TIME
ASYMPTOTIC SOLUTIONS
BOUNDARY CONDITIONS
DIRICHLET PROBLEM
EIKONAL APPROXIMATION
NONLINEAR OPTICS
SCATTERING AMPLITUDES
TRANSPORT THEORY
WAVE FORMS
WAVE PROPAGATION
WAVELENGTHS
AMPLITUDES
DIFFERENTIAL EQUATIONS
EQUATIONS
OPTICS
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS
WAVE EQUATIONS
645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory