On the Azimuthal Fourier Components of the Green's Function for the Helmholtz Equation in Three Dimensions.

reportActive / Technical Report | Accession Number: ADA288775 | Open PDF

Abstract:

Many algorithms that compute acoustic or electromagnetic fields scattered by surfaces of revolution require fast evaluation of the azimuthal. Fourier components Gm of the Greens function for the Helmholtz equation in three dimensions. In this paper we derive a recurrence relation for the functions Gm and obtain explicit formulae for their partial derivatives. These observations significantly reduce the complexity of the computation of the scattered fields generated by axisymmetric scatterers.

Author(s):
Matviyenko, Gregory
Author Organization(s):
YALE UNIV NEW HAVEN CT DEPT OF COMPUTER SCIENCE
Descriptive Note:
Research rept.,
Supplementary Note:
DOI: 10.21236/ADA288775
Pagination:
0016

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
YALEU/DCS/RR-1055
Contract/Grant Number(s):
N00014-89-J-1527
Monitor Series:
ONR
 Subject Terms
Joint Capability Areas:
JCA_5.3_Planning; JCA_5_Command and Control
Communities of Interest:
Energy and Power Technologies
Descriptor(s):
*ELECTROMAGNETIC FIELDS, *ELECTROMAGNETIC SCATTERING, *GREENS FUNCTIONS, *FOURIER ANALYSIS, TEST AND EVALUATION, ALGORITHMS, COMPUTATIONS, AXISYMMETRIC, DIFFERENTIAL EQUATIONS, AZIMUTH, ACOUSTIC FIELDS
Field(s)/Group(s):
Electricity and Magnetism
Keyword(s):
*HELMHOLTZ EQUATIONS
Report Date:
1994 Dec 09