Accession Number:

AD0743450

Title:

Scattering from a Periodic Corrugated Surface. Part 3. Finite-Depth Alternately Filled Plates with Soft Boundaries.

Descriptive Note:

Interim rept.,

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s):

• DeSanto,John A.

Report Date:

1972-05-18

Pagination or Media Count:

16.0

Abstract:

An incident plane wave is scattered from a periodic corrugated surface consisting of finite-depth parallel plates. Each period is further divided by an additional finite-depth parallel plate into two regions--one with the same density and wavenumber values as the free-space region above the plates, and the second with different but constant density and wavenumber values. The plates and bottoms have soft Dirichlet boundaries. Solutions of the Helmholtz equations, with unknown amplitude coefficients, are assumed in the various geometric regions. By requiring that the pressure and velocity be continuous functions at the boundaries, sets of linear equations are obtained that relate the amplitudes for arbitrary incident angles. Equations for normal incidence are solved using a variation of the modified residue calculus technique involving two zero shifts, and the results yield the amplitudes as values or residues of a meromorphic function. Author

Descriptors:

• (*ELECTROMAGNETIC RADIATION
• SCATTERING)
• WAVE FUNCTIONS
• SURFACE ROUGHNESS
• PARTIAL DIFFERENTIAL EQUATIONS
• MEROMORPHIC FUNCTIONS

Subject Categories:

• Numerical Mathematics
• Radiofrequency Wave Propagation

Distribution Statement:

APPROVED FOR PUBLIC RELEASE