Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-10T14:27:47.306Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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