Vol. 60
Latest Volume
All Volumes
PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2006-02-20
Scattering of Inhomogeneous Two-Dimensional Periodic Dielectric Gratings
By
, Vol. 60, 165-177, 2006
Abstract
A general method is proposed to frequency domain analysis of inhomogeneous two-dimensional periodic gratings. Each component of electromagnetic fields is expressed by several spatial harmonic plane waves. Then, two differential equations are obtained for the reflection and transmission matrices, using wave-splitting approach. Solving these equations gives us the co- and cross-polarized reflection and transmission coefficients. The method is studied using some examples.
Citation
Mohammad Khalaj-Amirhosseini, "Scattering of Inhomogeneous Two-Dimensional Periodic Dielectric Gratings," , Vol. 60, 165-177, 2006.
doi:10.2528/PIER05112601
References

1. Hutley, M. C., Diffraction Gratings, Academic, New York, 1982.

2. Petit, R. (ed.), Electromagnetic Theory of Gratings, Springer- Verlag, Berlin, 1980.

3. Luneburg, E. and K. Westpfahl, "Diffraction of plane waves by an infinite plane grating," Ann. Phys., Vol. 27, 257-288, 1971.

4. Elachi, C. and C. Yen, "Periodic structures in integrated optics," J. Appl. Phys., Vol. 44, 3146-3152, 1973.
doi:10.1063/1.1662722

5. Yasumoto, K. and T. Tanaka, "Radiative leakage of space-charge waves by a modulated thin-sheet electron beam propagating parallel to a reflection grating," J. Appl. Phys., Vol. 62, 3543-3549, 1987.
doi:10.1063/1.339278

6. Barrar, R. B. and R. M. Redheffer, "On nonuniform dielectric media," IRE Trans. Antennas Propag., 101-107, 1955.
doi:10.1109/TAP.1955.1144299

7. Richmond, J. H., "Transmission through inhomogeneous plane layers," IRE Trans. Antennas Propag., 300-305, 1962.
doi:10.1109/TAP.1962.1137877

8. Kastner, R. and Mittra, "A spectral-iteration technique for analyzing a corrugated-surface twist polarizer for scanning reflector antennas," IEEE Trans. Antennas Propag., Vol. 60, 673-676, 1982.
doi:10.1109/TAP.1982.1142869

9. Zaki, K. A. and A. R. Neureuther, "Scattering from a perfect conducting surface with a sinusoidal height profile: TE polarization," IEEE Trans. Antennas Propag., Vol. 19, 208-214, 1971.
doi:10.1109/TAP.1971.1139908

10. Moharam, M. G. and T. K. Gaylord, "Three-dimensional vector coupled-wave analysis planar-grating diffraction," J. Opt. Soc. Am., Vol. 73, No. 9, 1105-1112, 1983.

11. Toscano, A., L. Vegni, and F. Bilotti, "A new efficient method of analysis for inhomogeneous media shields and filters," IEEE Trans. Electromagn. Compat., 394-399, 2001.
doi:10.1109/15.942611

12. Khala j-Amirhosseini, M., "Analysis of lossy inhomogeneous planar layers using Taylor′s series expansion," IEEE Trans. Antennas Propag., Vol. 54, 2006.

13. Forslund, O. and S. He, "Electromagnetic scattering from an inhomogeneous grating using a wave-splitting approach," Progress in Electromagnetics Research, Vol. 19, 147-171, 1998.