๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A Periodic Knitting Problem for the Helmholtz Equation

โœ Scribed by Georgi V. Smirnov


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
329 KB
Volume
214
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

โœฆ 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 . แฎŠ 1997


๐Ÿ“œ SIMILAR VOLUMES


Screen Problem for Vector Helmholtz Equa
โœ L. Sigua ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 473 KB

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

Posing an inverse problem for the Helmho
โœ Frank Penzel ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 101 KB ๐Ÿ‘ 1 views

## 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.

Periodic problem for a nonlinear-damped
โœ G. O. Antunes; H. R. Crippa; M. D. G. da Silva ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 177 KB

We employ elliptic regularization and monotone method. We consider XโŠ‚R 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).