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Radar Cross Section Reduction of a Cavity in the Ground Plane

Published online by Cambridge University Press:  03 June 2015

Gang Bao  and
Jun Lai
Gang Bao*
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou 310027, Zhejiang, China Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA
Jun Lai*
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA
*
Corresponding author.Email:bao@math.msu.edu
Email:laijun@msu.edu
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Abstract

This paper investigates the reduction of backscatter radar cross section (RCS) for a rectangular cavity embedded in the ground plane. The bottom of the cavity is coated by a thin, multilayered radar absorbing material (RAM) with possibly different permittivities. The objective is to minimize the backscatter RCS by the incidence of a plane wave over a single or a set of incident angles. By formulating the scattering problem as a Helmholtz equation with artificial boundary condition, the gradient with respect to the material permittivities is determined efficiently by the adjoint state method, which is integrated into a nonlinear optimization scheme. Numerical example shows the RCS may be significantly reduced.

Keywords

35Q9335J05Optimal designRCS reductionadjoint methodradar absorbing materials

Information

Type
Research Article
Information
Communications in Computational Physics , Volume 15 , Issue 4 , April 2014 , pp. 895 - 910
Copyright
Copyright © Global Science Press Limited 2014

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References

[1]Ammari, H., Bao, G. and Wood, A.W., Analysis of the electromagnetic scattering froma cavity, Japan J. Indust. Appl. Math., 19 (2002), 301–310.CrossRefGoogle Scholar
[2]Bao, G., Gao, J. and Li, P., Analysis of direct and inverse cavity scattering problems, Numer. Math. Theor. Meth. Appl., 4 (2011), 419–442.CrossRefGoogle Scholar
[3]Bao, G., Gao, J., Lin, J. and Zhang, W., Mode matching for the electromagnetic scattering from three-dimensional large cavities, IEEE Trans. Antennas Propagat., 60 (2012), 2004–2010.Google Scholar
[4]Bao, G. and Sun, W., A fast algorithm for the electromagmetic scattering from a large cavity, SIAM J. Sci. Comput., 27 (2007), 553–574.Google Scholar
[5]Bao, G. and Zhang, W., An improved mode-matching method for large cavities, IEEE Antennas Wireless Propagat. Lett., 27 (2005), 393–396.Google Scholar
[6]Burkholder, R. and Pathak, P., Analysis of EM penetration into and scattering by electrically large open waveguide cavities using Gaussian beam shooting, Proc. IEEE, 79 (1991), 1401–1412.Google Scholar
[7]Chou, R. and Lee, S., Modal attenuation in multilayered coating waveguide, IEEE Trans. Microwave Theory Tech., 36 (1988), 1167–1176.Google Scholar
[8]Dobson, D. C.,Optimal design of periodic antireflective structures for the Helmholtz equation, Euro. J. Appl. Math., 4 (1993), 321–340.Google Scholar
[9]Huddleston, P., Scattering from conducting finite cylinders with thin coatings, IEEE Trans. Antennas Propagat., 35 (1987), 1128–1136.Google Scholar
[10]Jin, J., A finite element-boundary integral formulation for scattering by three-dimensional cavity-backed apertures, IEEE Trans. Antennas Propagat., 39 (1991), 97–104.Google Scholar
[11]Jin, J., The Finite Element Method in Electromagnetics, 2nd ed. New York, Wiley, 2002.Google Scholar
[12]Ling, H., Chou, R., and Lee, S., Shooting and bouncing rays: calculating the RCS of an arbitrarily shaped cavity, IEEE Trans. Antennas Propagat., 37 (1989), 194–205.Google Scholar
[13]Liu, J. and Jin, J., A special higher order finite-element method for scattering by deep cavities, IEEE Trans. Antennas Propagat., 48 (2000), 694–703.Google Scholar
[14]Monk, P., Finite Element Methods for Maxwellľs Equation, Oxford University Press, 2003.CrossRefGoogle Scholar
[15]Mosallaei, H. and Rahmat-Samii, Y., RCS reduction of canonical targets isomg genetic algorithm synthesized RAM, IEEE Trans. Antennas Propagat., 48 (2000), 1594–1606.Google Scholar
[16]Nocedal, J. and Wright, S. J.Numerical Optimization, Second Edition, Springer Series in Operations Research, Springer Verlag, 2006.Google Scholar
[17]Ohnuki, S. and Hinata, T., RCS of material partially loaded parallel-plate waveguide cavities, IEEE Trans. Antennas Propagat., 51 (2003), 337–344.Google Scholar
[18]Sun, W. and Wu, J. M., Newton-Cotes formulae for the numerical evaluation of certain hypersingular integral, Computing, 75 (2005), 297–309.Google Scholar