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A Hybrid high-order algorithm for radar cross section computations

Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/116466

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Title: A Hybrid high-order algorithm for radar cross section computations
Related: SIAM journal on scientific computing, Vol. 29, No. 3 (2007), p.1217-1243
DOI: 10.1137/060664859
Publisher: Society for Industrial and Applied Mathematics
Date: 2007
FoR/RFCD Code(s): 010100 Pure Mathematics
Author/Creator: Ganesh, M
Author/Creator: Hawkins, S. C
Description: We describe a high-order method for computing the monostatic and bistatic radar cross section (RCS) of a class of three-dimensional targets. Our method is based on an electric field surface integral equation reformulation of the Maxwell equations. The hybrid nature of the scheme is due to approximations based on a combination of tangential and nontangential basis functions on a parametric reference spherical surface. A principal feature of the high-order algorithm is that it requires solutions of linear systems with substantially fewer unknowns than existing methods. We demonstrate that very accurate RCS values for medium (electromagnetic-) sized scatterers can be computed using a few tens of thousands of unknowns. Thus linear systems arising in the high-order method for low to medium frequency scattering can be solved using direct solves. This is extremely advantageous in monostatic RCS computations, for which transmitters and receivers are co-located and hence the discretized electromagnetic linear system must be solved for hundreds of right-hand sides corresponding to receiver locations. We demonstrate the high-order convergence of our method for several three-dimensional targets. We prove the high-order spectral accuracy of our approximations to the RCS for a class of perfect conductors described globally in spherical coordinates.
Description: 27 page(s)
Subject Keyword: 010100 Pure Mathematics
Subject Keyword: radar cross section
Subject Keyword: monostatic
Subject Keyword: bistatic
Subject Keyword: electromagnetic scattering
Subject Keyword: Maxwell’s equations
Subject Keyword: surface integral
Subject Keyword: tangential basis
Resource Type: journal article
Organisation: Macquarie University. Dept. of Mathematics

Identifier: http://hdl.handle.net/1959.14/116466
Identifier: ISSN:1095-7197
Identifier: mq-rm-2009007548
Language: eng
Rights: Copyright SIAM Publications. Article archived for private and non-commercial use with the permission of the author and according to publisher conditions. For further information see http://www.siam.org/.
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