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Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
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SCATTERING OF ELECTROMAGNETIC WAVES FROM A RECTANGULAR PLATE USING AN EXTENDED STATIONARY PHASE METHOD BASED ON FRESNEL FUNCTIONS (SPM-F)

By C. G. Moschovitis, H. Anastassiu, and P. V. Frangos

Full Article PDF (838 KB)

Abstract:
This paper presents an extension over a novel, three dimensional high frequency method for the calculation of the scattered electromagnetic (EM) field from a Perfect Electric Conductor (PEC) plate, which is based on the Physical Optics (PO) approximation and the Stationary Phase Method (SPM). This extension defines a new analytical method which is proved to be very efficient in computer execution time and enhances the accuracy of its predecessor around the area of the main scattering lobe. This new analytical method accomplishes high accuracy through the use of higher order approximation terms, which imply the use of Fresnel functions (SPM-F method). By using higher order Fresnel approximation terms, no impact on the time efficiency of the SPM method appears to occur, since the extended SPM-F method just removes the troublesome vanishing denominators when the stationary point coincides with the edges of the scatterer. The SPM-F results are compared to other straightforward numerical and exact solution methods for the same problem in the far field, Fresnel zone and the near field area of the scatterer.

Citation:
C. G. Moschovitis, H. Anastassiu, and P. V. Frangos, "Scattering of electromagnetic waves from a rectangular plate using an extended stationary phase method based on fresnel functions (SPM-f)," Progress In Electromagnetics Research, Vol. 107, 63-99, 2010.
doi:10.2528/PIER10040104
http://www.jpier.org/PIER/pier.php?paper=10040104

References:
1. Moschovitis, C. G., K. T. Karakatselos, E. G. Papkelis, H. T. Anastassiu, I. C. Ouranos, A. Tzoulis, and P. V. Frangos, "Scattering of electromagnetic waves from a rectangular plate using an enhanced stationary phase method approximation," IEEE Trans. Antennas and Propagat., Vol. 58, No. 1, 233-238, Jan. 2010.
doi:10.1109/TAP.2009.2024015

2. Papkelis, E. G., I. Psarros, I. C. Ouranos, C. G. Moschovitis, K. T. Karakatselos, E. Vagenas, H. T. Anastassiu, and P. V. Frangos, "A radio coverage prediction model in wireless communication systems based on physical optics and the physical theory of diffraction," IEEE Antennas and Propagation Magazine, Vol. 49, No. 2, 156-165, Apr. 2007.
doi:10.1109/MAP.2007.376622

3. Papkelis, E., H. Anastassiu, and P. Frangos, "A time efficient near field scattering method applied to radio-coverage simulation in urban microcellular environments," IEEE Trans. Antennas and Propagat., Vol. 56, No. 10, 3359-3363, Oct. 2008.
doi:10.1109/TAP.2008.929516

4. Jenn, D. C., Radar and Laser Cross Section Engineering, 29-33, American Institute of Aeronautics and Astronautics, Inc., Washington, 1995.

5. Balanis, C. A., Antenna Theory: Analysis and Design, 922-926, John Wiley & Sons, New York, 1996.

6. Graeme, L. J., Geometrical Theory of Diffraction for Electromagnetic Waves, 30-42, 61, 90 and 117-123, UK, IEE, 1976.

7. Knott, E. F., J. F. Shaeffer, and M. T. Tuley, Radar Cross-section, 2nd Edition, Artech House, 1993.

8. Sirovich, L., Techniques of Asymptotic Analysis, 136-147, New York, Springer, 1971.

9. Borovikov, V. A., Uniform Stationary Phase Method, London, UK, IEE, 1994.

10. Jones, D. S. and M. Kline, "Asymptotic expansion of multiple integrals and the method of stationary phase," J. Math. Phys., Vol. 37, 1-28, 1958.

11. Silver, S., Microwave Antenna Theory and Design, 119-122, McGraw-Hill, 1949.

12. Stiegel, K. M., et al., "Bistatic RCS of surfaces of revolution," J. Appl. Phys., Vol. 26, 297-305, 1955.
doi:10.1063/1.1721981

13. Born, M. and E. Wolf, Principles of Optics, 750-754, Pergamon Press, 1959.

14. Chako, N., "Asymptotic expansion of double and multiple integrals," J. Inst. Math. Applic., Vol. 27, 372-422, 1965.
doi:10.1093/imamat/1.4.372

15. Bleinstein, N. and R. Handelsman, "Uniform asymptotic expansions of double integrals," J. Math. Anal. Appl., Vol. 27, 434-453, 1969.
doi:10.1016/0022-247X(69)90060-2

16. Kanatas, A. G., I. D. Kountouris, G. B. Kostaras, and P. Constantinou, "A UTD propagation model in urban microcellular environments," IEEE Transactions on Vehicular Technology, Vol. 46, No. 1, 185-193, Feb. 1997.
doi:10.1109/25.554751

17. Wilton, D. R., S. M. Rao, and A. W. Glisson, "Electromagntic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., Vol. 30, No. 3, 409-418, May 1982.
doi:10.1109/TAP.1982.1142818

18. Song, J., C.-C. Lu, and W. C. Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Trans. Antennas Propagat., Vol. 45, No. 10, 1488-1493, Oct. 1997.
doi:10.1109/8.633855

19. Eibert, T. F., "A diagonalized multilevel fast multipole method with spherical harmonics expansion of the k-space integrals," IEEE Trans. Antennas Propagat., Vol. 53, No. 2, 814-817, Feb. 2005.
doi:10.1109/TAP.2004.841310

20. Eibert, T. and V. Hansen, "Calculation of unbounded field problems in free space by a 3D FEM/BEM-hybrid approach," Journal of Electromagnetic Waves and Applications, Vol. 10, No. 1, 61-78, Jan. 1996.
doi:10.1163/156939396X00216

21. Tzoulis, A. and T. F. Eibert, "A hybrid FEBI-MLFMM-UTD method for numerical solutions of electromagnetic problems including arbitrarily shaped and electrically large objects," IEEE Trans. Antennas Propagat., Vol. 53, No. 10, 3358-3366, Oct. 2005.
doi:10.1109/TAP.2005.856348

22. Tzoulis, A. and T. F. Eibert, "Efficient electromagnetic near-field computation by the multilevel fast multipole method employing mixed near-field/far-field translations," IEEE Antennas Wireless Propag. Lett., Vol. 4, 449-452, 2005.
doi:10.1109/LAWP.2005.860195

23. Tzoulis, A., T. Vaupel, and T. F. Eibert, "Ray optical electromagnetic far-field scattering computations using planar near-field scanning techniques," IEEE Trans. Antennas Propagat., Vol. 56, No. 2, 461-468, Feb. 2008.
doi:10.1109/TAP.2007.915436

24. Jenn, D. C., Radar and Laser Cross Section Engineering, 69-76, 2nd Edition, American Institute of Aeronautics and Astronautics, Inc., Reston, Virginia, 2005.

25. Brelet, Y. and C. Bourlier, "SPM numerical results from an effective surface impedance for a one-dimensional perfectly-conducting rough sea surface," Progress In Electromagnetics Research, Vol. 81, 413-436, 2008.
doi:10.2528/PIER07121703

26. Zhang, Y., Y. E. Yang, H. Braunisch, and J. A. Kong, "Electromagnetic wave interaction of conducting object with rough surface by hybrid SPM/MoM technique," Progress In Electromagnetics Research, Vol. 22, 315-335, 1999.
doi:10.2528/PIER98112506


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