volume | PIER Journals

2011-03-03

A High Order Integral SPM for the Conducting Rough Surface Scattering with the Tapered Wave Incidence-TE Case

Li-Xin Guo,

Professor Li-Xin Guo

Physics Department

Xidian Unviersity

China

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Yu Liang,

Dr. Yu Liang

School of Science

Xidian University

China

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Jie Li,

Dr. Jie Li

Department of Electrical and Computer Engineering

Michigan State University

USA

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Zhen-Sen Wu

Prof. Zhen-Sen Wu

School of Science

Xidian University

China

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Progress In Electromagnetics Research, Vol. 114, 333-352, 2011

doi:10.2528/PIER11011605

Abstract

Based on the Helmholtz integral equation and series expansion theory, a high order integral small perturbation method (HISPM) for studying electromagnetic wave scattering from the finite conducting rough surface with tapered transverse electric (TE) wave incidence is presented. The high order scattering coefficients are obtained by the series expansion, the validity and accuracy of HISPM is verified through numerical evaluation with classical small perturbation method (CSPM) and the method of moments (MOM). By comparing with CSPM for the infinite rough surface case with plane wave incidence, the presented HISPM can greatly reduce the edge diffraction effect. HISPM also shows advantages in the memory requirement and computational time, especially in calculating scattering coefficients with low grazing angle incidence. Numerical examples are given to show that with the increasing of the length of the rough surface, the memory requirements and the computation time of HISPM are dramatically reduced compared to those of MOM.

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Li-Xin Guo, Yu Liang, Jie Li, and Zhen-Sen Wu, "A High Order Integral SPM for the Conducting Rough Surface Scattering with the Tapered Wave Incidence-TE Case," Progress In Electromagnetics Research, Vol. 114, 333-352, 2011.
doi:10.2528/PIER11011605

References

1. Rice, S. O., Re°ection of Electromagnetic Waves from Slightly Rough Surfaces, in Theory of Electromagnetic Waves , Wiley, 1951.

2. Lin, Z. W., X. J. Zhang, and G. Y. Fang, "Theoretical model of electromagnetic scattering from 3D multi-layer dielectric media with slightly rough surfaces," Progress In Electromagnetics Research, Vol. 96, 37-62, 2009.
doi:10.2528/PIER09061102

3. Tsang, L. and J. A. Kong, "Reflection of Electromagnetic Waves from Slightly Rough Surfaces, in Theory of Electromagnetic Waves," Wiley, 2000.

4. Johnson, J. T., "Third-order small-perturbation method for scattering from dielectric rough surfaces," J. Opt. Soc. Am. A., Vol. 16, No. 11, 2720-2736, 1999.
doi:10.1364/JOSAA.16.002720

5. Wu, Z.-S., J.-J. Zhang, and L. Zhao, "Composite electromagnetic scattering from the plate target above a one-dimensional sea surface: Taking the diffraction into account," Progress In Electromagnetics Research, Vol. 92, 317-331, 2009.
doi:10.2528/PIER09032902

6. Ishimaru, A., C. Le, Y. Kuga, L. A. Sengers, and T. K. Chan, "Polarimetric scattering theory for high slope rough surface," Progress In Electromagnetics Research, Vol. 14, 1-36, 1996.