Abstract
In this paper the Method of Lines (MoL) is successfully extended to solve the EM wave scattering problems of periodic surfaces with arbitrary profile. As examples, the scattering coefficients of space harmonics of corrugated and sinusoidal surfaces are calculated. The results are in good agreement with available data from Wirgin and from A.K.Jordan et al. In addition, the results of comb structure are also calculated. The flexibility and less computation of this method make it eligible for analyzing various two-dimensional periodic structures.
Similar content being viewed by others
References
Armand Wirgin, theoretical and Experimental Investigation of a New Type of Blazed Grating,J. Opt. Soc. Am., Vol.59, pp1348–1357, Oct. 1969
A.Hessel, J.chmoys and D.Y.Tseng, Bragg-angle blazing of diffraction grating,J. Opt. Soc. Am., Vol. 65, pp380–384, April 1975.
A.K.Jordan and R.H.Lang, Electromagnetic scattering patterns from sinusoidal surface,Radio Science, Vol.14, No.6, Nov. 1979, pp 1077–1088.
Feng Zu-wei, Solution of Surface Resistance of Comb by Wiener-Hopf Method,Journal of Applied Sciences, 4(1986)2, pp150–156, April 1986. (in Chinese)
Yang Rong-sheng et al, Theoretical Studies of Reflection and Diffraction of EM Wave by Grating,Journal of Electronics, 13(1991)2, pp119–124, March 1991. (in Chinese)
Wei Hong and Wenxun Zhang, A new method for the analysis of EM wave scattering by an infinite planar metallic grating,Acta Electronica Sinica, Vol. 20, No.3, pp. 47–50, 1992 (in Chinese)
U. Schulz and R. Pregla, A new technique for the analysis of planar waveguides and its application to microstrips with tuning setums,Radio Science, Vol.6, 1981
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Liu, K., Hong, W. A general method for analyzing em wave scattering from arbitrarily shaped two-dimensional periodic surfaces. Int J Infrared Milli Waves 13, 1647–1658 (1992). https://doi.org/10.1007/BF01009242
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01009242