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Figure 3.4.3 Convergence of the spatial solution (dotted line) and spectral solution (solid line) for case (b) ~ Normal incidence: k o = 2;, (}i = 0 , 1Ji = 25 , Z = 0.1.\, x = 0.48.\, y = -0.91.\.
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Figure 3.4.4 Convergence of the spatial solution (dotted line) and spectral solution (solid line) for case (c) ~ Oblique incidence: z =I=- 0, k o = 2;, (}i = 45 , rPi = 25 , Z = 0.1.\, x = 0.48'\, y = -0.91.\.
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Figure 3.4.5 Convergence of the spatial solution (dotted line) and spectral solution (solid (}i = 45 , rPi = 25 , z = 0, x = 0.48'\, line) for case (d) ~ Oblique incidence: z = 0, k o = y = -0.91.\.
3 SCATTERING AND EMISSION BY A PERIODIC ROUGH SURFACE
REFERENCES AND ADDITIONAL READINGS
Abramowitz, M. and J. A. Stegun (1965), Handbook of Mathematical Functions, Dover Publications, New York. Chan, C. H. (1995), Analysis of frequency selective surfaces, in Frequency Selective Surface and Grid Array, edited by T. K. Wu, 2, 27-85, Wiley-Interscience, New York. Cohen, K (1995), An Ewald transformation of frequency domain integral formulations, Electromagnetics, 15, 427-439. Ewald, P. P. (1921), Die berechnug optischer und elekrostatischen gitterpotential, Ann. Phys., 64, 253-268. Kipp, R. A. and C. H. Chan (1994), A numerically efficient technique for the method of moments solution to planar periodic structures in a layered media, IEEE Trans. Microwave Theory Tech., 42(4), 635-643. Joannopoulos, J. D., R. D. Meade, and J. M. Winn (1995), Photonic Crystals: Molding the Flow of Light, Princeton University Press, Princeton. Johnson, J. T., J. A. Kong, R. T. Shin, D. H. Staelin, K. O'Neill, and A. W. Lohanick (1993), Third Stokes parameter emission from a periodic water surface, IEEE Trans. Geosci. Remote Sens., 31(5),1066-1080. Jordan, K. E., G. R. Richter, and P. Sheng (1986), An efficient numerical evaluation of the Green's function for the Helmholtz operator on periodic structures, J. of Compo Phys., 63, 222-235. Kittel, C. (1996), Introduction to Solid State Physics, 7th edition, Wiley, New York. Mathis, A. W. and A. F. Peterson (1996), A comparison of acceleration procedures for the two-dimensional periodic Green's function, IEEE Trans. Antennas Propagat., 44(1), 567-571. Mathis, A. W. and A. F. Peterson (1998), Efficient electromagnetic analysis of a doubly infinite array of rectangular apertures, IEEE Trans. Microwave Theory Tech., 46(1), 46-54. Munk, B. A. (2000), Frequency Selective Surfaces: Theory and Design, Wiley-Intersdence, New York. Nghiem, S. V., M. K Veysoglu, J. A. Kong, R. T. Shin, K. O'Neill, and A. W. Lohanick (1991), Polarimetric passive remote sensing of a periodic soil surface: Microwave measurements and analysis, J. Electromag. Waves and Appl., 5, 997-1005. Oberhettinger, F. and L. Badii (1973), Tables of Laplace Transforms, Springer-Verlag, Berlin. Radisic, V., Y. Qian, and T. !toh (1998), Broadband power amplifier using dielectric photonic bandgap structures, IEEE Microwave Guided Wave Lett., 8, 13-14. Veysoglu, M. K, S. H. Yueh, R. T. Shin, and J. A. Kong (1991), Polarimetric passive remote sensing of periodic surfaces, J. Electromag. Waves and Appl., 5, 267-280. Wang, J. R., R. W. Newton, and J. W. Rouse (1980), Passive microwave remote sensing of soil moisture: The effect of tilled row structure, IEEE Trans. Geosci. Remote Sens., 18, 296-302. Watson, G. N. (1966), A Treatise on the Theory of Bessel Functions, 2nd edition, Cambridge University Press, Cambridge. Yablonovitch, K (1987), Inhibited spontaneous emission is solid state physics and electronics, Phys. Rev. Lett., 58(20), 2059-2062. Yu, Y. X. and C. H. Chan (1998), On the extension of Ewald's method to periodic structures, Microwave Opt. Technol. Lett., 19(2), 125-131.
Scattering of Electromagnetic Waves: Numerical Simulations. Leung Tsang, Jin Au Kong, Kung-Hau Ding, Chi On Ao. Copyright 2001 John Wiley & Sons, Inc. ISBNs: 0-471-38800-9 (Hardback); 0-471-22430-8 (Electronic)