The paper deals with the screen boundary value problem for vector Helmholtz equation in the three-dimensional space. Using the method of boundary integral equations and the theory of elliptic pseudodifferential operators on manifolds with boundary we prove uniqueness and existence theorems in Bessel
A Periodic Knitting Problem for the Helmholtz Equation
โ Scribed by Georgi V. Smirnov
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 329 KB
- Volume
- 214
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
We study a diffraction of a plane wave incident to a periodic surface separating two dielectric materials with different real dielectric coefficients. Existence and uniqueness of solution to a periodic knitting problem for the Helmholtz equation is proved. Moreover we prove that the solution can be approximated by linear ลฝ . combinations of reflected and transmitted waves the Rayleigh method . แฎ 1997
๐ SIMILAR VOLUMES
## Abstract In this paper we shall define an inverse problem for the Helmholtz equation with imaginary part of the wave number being positive. The Cauchy data are known on the boundary of the half plane, but it is not known where the half axis, lying vertically in the upper half plane, is situated.
Dedicated to Professor George C. Hsiao on the occasion of his 60th birthday
We employ elliptic regularization and monotone method. We consider XโR n (n 1) an open bounded set that has regular boundary C and Q = Xร(0,T), T>0, a cylinder of R n+1 with lateral boundary R = Cร(0,T).