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Properties of far-field operators in acoustic scattering
- Source :
- Mathematical Methods in the Applied Sciences. 11:773-787
- Publication Year :
- 1989
- Publisher :
- Wiley, 1989.
-
Abstract
- The far-field operator for an exterior boundary value problem for the Helmholtz equation maps the boundary data onto the far-field pattern of the solution. This paper computes the L2-adjoint of this operator for various choices of boundary conditions. In scattering theory the boundary data are given by the traces of plane waves. We characterize the closure of the span of the images of these plane waves under the far field operator. Finally, the results are extended to more general topologies including Sobolev and Holder norms.
- Subjects :
- Helmholtz equation
General Mathematics
010102 general mathematics
Mathematical analysis
General Engineering
Mixed boundary condition
01 natural sciences
Poincaré–Steklov operator
010101 applied mathematics
Operator (computer programming)
p-Laplacian
Scattering theory
Boundary value problem
0101 mathematics
Trace operator
Mathematics
Subjects
Details
- ISSN :
- 10991476 and 01704214
- Volume :
- 11
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi...........ce86ed8eced23adf3b4be821856abd68