Radar cross section reduction of a cavity in the ground plane: TE polarization

Gang Bao; Jun Lai

doi:10.3934/dcdss.2015.8.419

Article Contents

2015, Volume 8, Issue 3: 419-434. Doi: 10.3934/dcdss.2015.8.419

This issue Previous Article Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging Next Article Analytical investigation of an integral equation method for electromagnetic scattering by biperiodic structures

Radar cross section reduction of a cavity in the ground plane: TE polarization

Gang Bao^1, and
Jun Lai^2,

1.
Department of Mathematics, Zhejiang University, Hangzhou 310027
2.
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012

Received: September 30, 2013

Revised: February 28, 2014

Published: June 2015

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Abstract

The reduction of backscatter radar cross section(RCS) in TE polarization for a rectangular cavity embedded in the ground plane is investigated in this paper. It is established by placing a thin, multilayered radar absorbing material(RAM) with possibly different permittivities at the bottom of the cavity. A minimization problem with respect to the backscatter RCS is formulated to determine the synthesis of RAM. The underlying scattered field is governed by a generalized Helmholtz equation with transparent boundary condition. The gradient with respect to the material permittivity is derived by the adjoint state method. A fast solver for the Helmholtz equation is presented for the optimization scheme. Numerical examples are presented to show the efficiency of the algorithm for RCS reduction.

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Mathematics Subject Classification: 35Q93, 35J05.

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References

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