Inverse Scattering of a Dielectric Sphere Partially Buried in a Ground Plane Using a Radial Basis Function Network

作者

  • C. Loo University of South Alabama, Department of Electrical Engineering Mobile, Alabama, 36688, U.S.A.
  • M. Hamid University of South Alabama, Department of Electrical Engineering Mobile, Alabama, 36688, U.S.A.

关键词:

Inverse Scattering of a Dielectric Sphere Partially Buried in a Ground Plane Using a Radial Basis Function Network

摘要

An analytic solution of the problem of electromagnetic scattering by a dielectric spherical scatterer resting on, or partially buried in, an infinite perfectly conducting ground plane is approximated by partially truncated sphere and is formulated using the method of images. The scattered field coefficients are solved exactly so that the scattered field can be evaluated everywhere. In particular, the scattering cross section can be calculated as a function of the sphere radius and permittivity as well as the truncated sphere distance for any specified angle of incidence. The solution of this problem is relevant to analyze the scattering by complex threedimensional bodies, plastic mines, icebergs, rough surfaces, etc., in which the flat background can be modeled by the ground plane while the complex body can be simulated by a sphere or a system of spheres partially truncated and resting on the ground plane. In order to solve the inverse scattering problem, we employ a radial basis function network to take the scattered field complex coefficients for the TE and TM polarization case as the network inputs to predict the three outputs of the electrical radius, burial distance, and relative permittivity of the sphere. The trained network is able to retrieve the three aforementioned parameters from new data which is different from the learning data.

##plugins.generic.usageStats.downloads##

##plugins.generic.usageStats.noStats##

参考

A.-K. Hamid, and M. Hamid, “Electromagnetic

scattering by a dielectric sphere partially buried in

an infinite plane,” Canadian Journal of Physics,

vol. 80, pp. 979-986, 2002.

C. Eftimiu, “Direct and inverse scattering by a

sphere of variable index of refraction,” Journal of

Mathematical Physics, vol. 23, no. 11, pp. 2140-

1982.

ACES JOURNAL, VOL. 19, NO. 3, NOVEMBER 2004

J. Sylvester, and D. P. Winebrenner, “Linear and

nonlinear inverse scattering,” SIAM Journal of

Applied Mathematics 59(2), pp. 669-699, 1998.

I. T. Rekanos, T. V. Yioultsis & T.D.Tsiboukis “

Inverse scattering using the finite-element method

and a nonlinear optimization Technique ”, IEEE

Trans. On Microwave Theory and Techniques, vol.

, no. 3, pp. 336-344,1999.

A-K Hamid, “A neural-network approach to the

inverse-scattering problem from a circular

conducting cylindrical scatterer,” Microwave and

Optical Tech. Letters, vol. 13, no. 6, pp. 380-382,

E. Bermani, S. Caorsi, M. Raffetto, “An inverse

scattering approach based on a neural network

technique for the detection of dielectric cylinders

buried in a lossy half-space,” Progress in

Electromagnetics Research, no. 26, pp. 69-90,

S. Caorsi and P. Gamba, “Electromagnetic

detection of dielectric cylinder by a neural network

approach,” IEEE Trans. on Geoscience and

Remote Sensing, vol. 37, 820-827, 1999.

X. Gong and Y. Wang, “A neural network

approach to the microwave inverse scattering

problem with edge-preserving regularization,”

Radio Science, vol. 36, no. 5, pp. 825-832, 2001.

S. Chen, C. F. N. Cowan, and P. M. Grant.

“Orthogonal least squares learning for radial basis

function networks,” IEEE Trans. On Neural

Networks, vol. 2, no. 2, pp. 302-309, 1991.

Y. L. Xu, ”Electromagnetic scattering by an

aggregate of spheres: Far field,” Appl. Optics. vol.

, pp. 9496-9508, 1997.

J. Park and J. W. Sandbeg, “Universal

approximation using radial basis functions

network,” Neural Computation, vol. 3, pp. 246-

, 1991.

T. Poggio and F. Girosi, (1990) “Networks for

approximation and learning,” Proc. IEEE, vol. 78,

no. 9, pp. 1481-1497.

J. A. Stratton, Electromagnetic Theory, McGraw-

Hill, New York, 1941.

P. Bhartia, R. A. Ross and M. Hamid, “Ray optical

scattering by two spheres”, Arch. Elekt. Ubertrag.,

vol. 24, pp. 215-222, 1970.

R. A. Horn and C. R. Johnson. “Matrix Analysis,”

Cambridge University Press, Cambridge, UK,

##submission.downloads##

已出版

2022-06-18

栏目

General Submission