A Split-Step Pade Solution of 3D-PE Method for EM Scattering from PEC Targets

Authors

  • Z. He Department of Communication Engineering Nanjing University of Science and Technology, Nanjing, 210094, China
  • R. S. Chen Department of Communication Engineering Nanjing University of Science and Technology, Nanjing, 210094, China

Keywords:

Electromagnetic scattering, parabolic equation method, split-step Pade

Abstract

In this paper, the split-step Pade scheme is introduced to solve the three dimensional parabolic equation for EM scattering problems. By implementing the finite differential method, the calculation can be taken from plane to plane along the paraxial direction and a sparse-matrix equation needs to be solved in each transverse plane. In this way, the computational resources can be saved significantly when compared with the rigorous numerical methods. Numerical results demonstrate that the proposed method can obtain accurate results at wider angles up to 45°.

Downloads

Download data is not yet available.

References

A. A. Zaporozhets and M. F. Levy, “Bistatic RCS calculations with the vector parabolic equation method,” IEEE Trans. Antennas and Propagation, vol. 47, no. 11, Nov. 1999.

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

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,” Electronics Letters, vol. 51, no. 4, pp. 360-362, 2015.

M. F. Levy, Parabolic Equation Methods for Electromagnetic Wave Propagation. London: The Institution of Electrical Engineers, 2000.

Z. He, Z. H. Fan, D. Z. Ding, and R. S. Chen, “A vector parabolic equation method combined with MLFMM for scattering from a cavity,” Applied Computational Electromagnetics Society Journal, vol. 30, no. 5, pp. 496-502, 2015.

Q. I. Dai, Y. H. Lo, W. C. Chew, and Y. G. Liu, “Generalized modal expansion and reduced modal representation of 3-D electromagnetic fields,” IEEE Transactions on Antennas and Propagation, vol. 62, no. 2, pp. 783-793, 2013.

M. A. Sharkawy and H. E. Ocla, “Electromagnetic scattering From 3-D targets in a random medium using finite difference frequency domain,” IEEE Transactions on Antennas and Propagation, vol. 61, no. 11, pp. 5621-5626, 2013.

J. M. Song, C. C. Lu, and W. C. Chew, “Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects,” IEEE Transactions on Antennas and Propagation, vol. 45, no. 10, pp. 1488-1493, 1997.

W. L. Siegmann, G. A. Kriegsmann, and D. Lee, “A wide-angle three-dimensional parabolic wave equation,” J. Acoust. Soc. Am., vol. 78, iss. 2, pp. 659-664, 1985.

Z. X. Huang, B. Wu, W. Sha, M. S. Chen, X. L. Wu, and H. Dai, “High-order parabolic equation method for electromagnetic computation,” APMC 2008, Asia-Pacific, 2008.

W. L. Siegmann, G. A. Kriegsmann, and D. Lee, “A wide-angle three-dimensional parabolic wave equation,” J. Acoust. Soc. Am., vol. 78, iss. 2, pp. 659-664, 1985.

D. J. Thomson, “A wide-angle split-step algorithm for the parabolic equation,” J. Acoust. Soc. Am., vol. 74, iss. 6, pp. 1848-1854, 1983.

M. D. Collins, “A split-step Pad solution for the parabolic equation method,” J. Acoust. Soc. Am., vol. 93, iss. 4, pp. 1736-1742, 1993.

M. D. Collins, “Generalization of the split-step Pade solution,” J. Acoust. Soc. Am., vol. 96, iss. 1, pp. 382-385, 1994.

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

F. Collino, “Perfectly matched absorbing layers for the paraxial equations,” J. Comp. Phys., 94:1~29, 1991.

Downloads

Published

2021-08-18

How to Cite

[1]
Z. . He and R. S. . Chen, “A Split-Step Pade Solution of 3D-PE Method for EM Scattering from PEC Targets”, ACES Journal, vol. 31, no. 05, pp. 524–530, Aug. 2021.

Issue

Section

Articles