Transform Method for Dielectric Periodic Interface Scattering
Keywords:
electromagnetic scattering, periodic surface, transform methodAbstract
An extended transform method is developed for calculating the 2-D scattering problem from dielectric periodic interfaces. The method transforms the problem into scattering from two imaginary planes, one of which cuts across the maximum points and another across the minimum points of the periodic interface. The fields just above and below the periodic interface are expanded into Taylor series with respect to the two planes respectively. Then by satisfying boundary condition, the unknown coefficients can be determined. Comparing with T-Matrix and MoM, proposed method is simpler in formulation and less in computational time. Near scattered field distributions above and in the trough region of the periodic interface are calculated by proposed method. The results are in good agreements with those of T-Matrix and MoM respectively.
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References
H. C. Chu, S. K. Jeng and H. C. Chen, “Reflection and Transmission Characteristics of Lossy Periodic Composite Structures,” IEEE Trans. Antennas Propagat., vol. AP-44, pp. 580- 587, 1996
A. Ishimaru, Electromagnetic Wave Propagation, Radiation and Scattering, Prentice-Hall, New Jersey, 1991.
A. B. Ali, E. A. Hajlaoui, A. Gharsallah, “Efficient Analysis Technique for Modeling Periodic Structures based on Finite Element Method using High-order Multiscalets Functions,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 25, no. 9, pp. 755-763, Sep. 2010
A. Cucini, S. Maci, “Macro-scale Basis Functions for the Method of Moment Analysis of Large Periodic Microstrip Arrays,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 21, no. 3, pp. 256-266, Nov. 2006.
T. Arebs, S. N. Chandler-Wilde and J. A. DeSanto, “On Integral Equation and Least Squares Method for Scattering by Diffraction Grating,” Computer Physics Communication, vol. 1, no. 6, pp. 1010- 1042, Dec. 2006
L. Tsang, J. A. Kong, K. H. Ding and C. O. Ao, Scattering of electromagnetic waves: Numerical simulations, Wiley, New York, 2001.
J. A. Kong, Electromagnetic wave theory, Wiley, 1986
S. L. Chuang and J. A. Kong, “Scattering of Waves from Periodic Surfaces”, Proceedings of the IEEE, vol. 69, no. 9, pp. 1132-1143, Sep. 1981.
J. Wauer and T. Rother, “Considerations to Rayleigh’s Hypothesis”, Optics Communications, vol. AP-282, pp. 339-350, 2009
M. Ohtsu, Y. Okuno, A. Matsushima and T.Suyama, “A Combination of Up- and DownGoing Floquet Model Functions used to Describe the Field Inside Grooves of a Deep Grating”, Progress in Electromagnetics Research (PIER), vol. 64, pp. 293-316, 2006
N. S. Tezel, “Electromagnetic Scattering from Perfectly Conducting Periodic Surfaces by Transforming into Equivalent Boundary Condition,” Microwave and Optical Technology Letters,vol. 50, no. 8, pp. 1997-2000, Aug. 2008.