Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0889.35023
Hillion, Pierre
Diffraction and Weber functions. (English)
[J] SIAM J. Appl. Math. 57, No.6, 1702-1715 (1997). ISSN 0036-1399; ISSN 1095-712X/e

Summary: The diffraction of harmonic plane waves at a perfectly conducting half-plane leads to a Dirichlet or Neumann problem for the two-dimensional (2D) Helmholtz equation. As proved by Bateman the solution may be expressed in terms of Weber functions. We first prove that his result can be generalized to a perfectly conducting wedge. Then, assuming that the electromagnetic properties of a diffracting obstacle can be described by a surface impedance, we analyze the diffraction at nonperfectly conducting planes and wedges; this corresponds to a mixed boundary value problem for the 2D Helmholtz equation.

MSC 2000:: *35J05 Laplace equation, etc.
78A40 Waves and radiation
35L20 Second order hyperbolic equations, boundary value problems
76D33 Waves in incompressible viscous fluids

Keywords: harmonic plane waves; nonperfectly conducting planes

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]