Time Domain Parabolic Equation Method for Scattering Analysis of Electrically Large Coated Objects by using Impedance Boundary Condition

Authors

  • Ling Guan School of Electronic and Optical Engineering Nanjing University of Science and Technology, Nanjing, Jiangsu Province 210094, China
  • Shifei Tao School of Electronic and Optical Engineering Nanjing University of Science and Technology, Nanjing, Jiangsu Province 210094, China

Keywords:

Coated objects, impedance boundary condition, time domain parabolic equation, wideband electromagnetic scattering

Abstract

The time domain parabolic equation method (TDPE) is an efficient tool for analyzing electromagnetic (EM) scattering by electrically large objects. It reduces the cost of computational resources by dividing threedimensional solution space into multiple twodimensional transverse planes for calculating scattered fields one by one. For thin coated perfectly electrically conducting (PEC) objects, the efficiency of TDPE method will decrease if dielectric is considered to be meshed. As an approximate method, Leontovich impedance boundary condition (IBC) handles this problem by modeling a surface impedance on the outer surface of coating dielectric, instead of solving Maxwell's equations in the dielectric domain. Thus in this paper, TDPE method based on Leontovich IBC is proposed to analyze broadband scattering problems of large-scale coated PEC objects. Numerical results have validated the accuracy and efficiency of the proposed method.

Downloads

Download data is not yet available.

References

A. C. Rappaport, “On the parabolic equation method for water-wave propagation,” J. Fluid. Mech., vol. 95, no. 1, pp. 159-176, 1979.

R. A. Dalrymple and P. A. Martin, “Perfect boundary conditions for parabolic water-wave models,” Proc. R. Soc. London A, vol. 437, pp. 41-54, 1992.

M. D. Feit and J. A. Fleck, Jr., “Light propagation in graded-index fibers,” Appl. Opt., vol. 17, pp. 3990-3998, 1978.

D. Yevick, “A guide to electric field propagation techniques for guided-wave optics,” Opt. Quantum Electron., vol. 26, pp. 185-197, 1994.

F. Collino and P. Joly, “Splitting of operators, alternate directions, and paraxial approximations for the three-dimensional wave equation,” SIAM J. Sci. Comput., vol. 16, pp. 1019-1048, 1995.

M. Leontovich and V. Fock, “Solution of the problem of propagation of electromagnetic waves along the earth’s surface by the method of parabolic equation,” Acad. Sci. Ussr. J. Phys., vol. 7, pp. 557-573, 1946.

Q. F. Wei, C. Y. Yin, and W. Wu, “Research and verification for an improved two-way parabolic equation method in obstacle environment,” IET Microwaves, Antennas & Propag., vol. 12, no. 4, pp. 576-582, 2018.

M. F. Levy, “Parabolic equation modeling of propagation over irregular terrain,” Electron. Lett., vol. 26, pp. 1153-1155, 1990.

Z. He, H. Zeng, and R. S. Chen, “Two way propagation modeling of expressway with vehicles by using the three-dimensional ADI-PE method,” IEEE Trans. Antennas Propag., vol. 66, no. 4, pp. 2156-2160, Apr. 2018.

Z. He, Z. H. Fan, D. Z. Ding, and R. S. Chen, “Efficient radar cross-section computation of electrically large targets with ADI-PE method,” Electron. Lett., vol. 51, no. 4, pp. 360-362, 2015.

Z. He and R. S. Chen, “A vector meshless parabolic equation method for three-dimensional electromagnetic scatterings,” IEEE Trans. Antennas Propag., vol. 63, no. 6, pp. 2595-2603. 2015.

Z. He and R. S. Chen, “A novel parallel parabolic equation method for electromagnetic scatterings,” IEEE Trans. Antennas Propag., vol. 64, no. 11, pp. 4777-4784, 2016.

Z. He, Z. H. Fan, D. Z. Ding, and R. S. Chen, “GPU-accelerated ADI-PE method for the analysis of EM scatterings,” Electron. Lett., vol. 51, pp. 1652-1654, 2015.

Z. He and R. S. Chen, “A novel marching-on-indegree solver of time domain parabolic equation for transient EM scattering analysis,” IEEE Trans. Antennas Propag., vol. 61, no. 11, pp. 4905-4910, 2016.

Z. He and R. S. Chen, “Frequency-domain and time-domain solvers of parabolic equation for rotationally symmetric geometries,” Comput. Phys. Commun., vol. 220, pp. 181-187, 2017.

J. E. Murphy, “Finite-difference treatment of a time-domain parabolic equation: Theory,” J. Acoust. Soc. Am., vol. 77 no. 5 pp. 1958-1960, 1985.

Z. He, R. S. Chen, “Fast analysis of wide-band scattering from electrically large targets with time-domain parabolic equation method,” Comput. Phys. Commun., vol. 200, pp. 139-146, 2016.

Z. He, D. Z. Ding, and R. S. Chen, “An efficient marching-on-in-degree solver of surface integral equation for multilayer thin medium-coated conductors,” IEEE Antennas & Wireless Propag. Lett., vol. 15, pp. 1458-1461, 2016.

Z. He and R. S. Chen, “A fast marching-on-indegree solution for analysis of conductors coated with thin dispersive dielectric,” IEEE Trans. Antennas Propag., vol. 65, no. 9, pp. 4751-4758, 2017.

Z. He, Z. H. Fan, D. Z. Ding, and R. S. Chen, “Solution of PMCHW integral equation for transient electromagnetic scattering from dielectric body of revolution,” IEEE Trans. Antennas Propag., vol. 63, no. 11, pp. 5124-5129, 2015.

Z. He, R. S. Chen, and W. Sha, “An efficient marching-on-in-degree solution of transient multiscale EM scattering problems,” IEEE Trans. Antennas Propag., vol. 64, no. 7, pp. 3039-3046, 2016.

Z. H. Fan, Z. He, and R. S. Chen, “Marching-onin-degree solution of the transient scattering from multiple bodies of revolution,” IEEE Trans. Antennas Propag., vol. 64, no. 1, pp. 321-326, 2015.

Z. He and R. S. Chen, “An efficient high-order marching-on-in-degree solver for conducting and dielectric bodies of revolution,” Trans. Antennas Propag, vol. 65, no. 8, pp. 4374-4378, 2017.

Z. He, H. H. Zhang, and R. S. Chen, “Parallel marching-on-in-degree solver of time-domain combined field integral equation for bodies of revolution accelerated by MLACA,” IEEE Trans. Antennas Propag., vol. 63, no. 8, pp. 3705-3710, 2015.

T. K. Sarkar and E. Arvas, “An integral equation approach to the analysis of finite microstrip antennas: Volume/surface formulation,” IEEE Trans. Antennas Propag., vol. 38, no. 3, pp. 305- 312, Mar. 1990.

T. B. A. Senior, “Impedance boundary conditions for imperfectly conducting surfaces,” Appl. Sci. Res., vol. 8, no. 1, pp. 418, 1960.

Q. Chen, M. Lu, and E. Michielssen, “Integral equation based analysis of transient scattering from surfaces with impedance boundary condition,” IEEE Antennas and Propag. Society Symp., 2004, Monterey, CA, USA, vol., 4, pp. 3891-3894, 2004.

B. Gustavsen and A. Semlyen, “Rational approximation of frequency domain responses by vector fitting,” IEEE Trans. Power Delivery, vol. 14, no. 3, pp. 1052-1061, 1999.

J. M. Jin, The Finite Element Method in Electromagnetics. John Wiley & Sons, 2015.

Downloads

Published

2021-07-18

How to Cite

[1]
Ling Guan and Shifei Tao, “Time Domain Parabolic Equation Method for Scattering Analysis of Electrically Large Coated Objects by using Impedance Boundary Condition”, ACES Journal, vol. 33, no. 12, pp. 1352–1359, Jul. 2021.

Issue

Section

Articles