Vol. 95
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]
2009-08-20
Filter Response of Resonant Waveguide Dielectric Gratings at Plane-Wave Conical Incidence
By
Progress In Electromagnetics Research, Vol. 95, 219-239, 2009
Abstract
An accurate and efficient formulation is presented for the electromagnetic analysis of dielectric waveguide gratings under plane-wave conical incidence. An arbitrary number of dielectric bars can be placed inside each one-dimension periodic cell, including the effect of dielectric losses. The reflectance of a dielectric waveguide grating under conical incidence is compared with theoretical results presented by other authors, finding a very good agreement. A single-layer reflection filter has been designed centered at λ0=1.5 μm whose spectral and angular responses are shown. For this structure, the effect of the asymmetry of the distribution of the refraction index in the reflectance has been analyzed, observing a splitting of the reflection peak around the design wavelength. Finally it is discussed the equivalence between a volume grating and a shallow surface-relief grating, providing two examples of designing prescriptions.
Citation
Ángela Coves, Pablo P. Garrido, Benito Gimeno Martinez, and Miguel V. Andres, "Filter Response of Resonant Waveguide Dielectric Gratings at Plane-Wave Conical Incidence," Progress In Electromagnetics Research, Vol. 95, 219-239, 2009.
doi:10.2528/PIER09072307
References

1. Pirhadi, A., F. Keshmiri, M. Hakkak, and M. Tayarani, "Analysis and design of dual band high directivity EBG resonator antenna using square loop FSS as superstrate layer," Progress In Electromagnetics Research, Vol. 70, 1-20, 2007.
doi:10.2528/PIER07010201

2. Hosseini, M., A. Piradi, and M. Hakkak, "A novel AMC with little sensitivity to the angle of incidence using 2-layer jerusalem cross FSS," Progress In Electromagnetics Research, Vol. 64, 43-51, 2006.
doi:10.2528/PIER06061301

3. Ohki, M., K. Sato, M. Matsumoto, and S. Kozaki, "T-matrix analysis of electromagnetic wave diffraction from a dielectric coated fourier grating," Progress In Electromagnetics Research, Vol. 53, 91-108, 2005.
doi:10.2528/PIER04083101

4. Attiya, A. M. and A. A. Kishk, "Modal analysis of a two-dimensional dielectric grating slab excited by an obliquely incident plane wave," Progress In Electromagnetics Research, Vol. 60, 221-243, 2006.
doi:10.2528/PIER05110602

5. Khalaj-Amirhosseini, M., "Scattering of inhomogeneous two-dimensional periodic dielectric gratings," Progress In Electromagnetics Research, Vol. 60, 165-177, 2006.
doi:10.2528/PIER05112601

6. Attiya, A. M., A. A. Kishk, and A. W. Glisson, "Analysis of two-dimensional magneto-dielectric grating slab," Progress In Electromagnetics Research, Vol. 74, 195-216, 2007.
doi:10.2528/PIER07042201

7. Oraizi, H. and M. Afsahi, "Analysis of planar dielectric multilayers as FSS by transmission line transfer matrix method (TLTMM)," Progress In Electromagnetics Research, Vol. 74, 217-240, 2007.
doi:10.2528/PIER07042401

8. Hessel, A. and A. A. Oliner, "A new theory of Wood's anomalies on optical gratings," Appl. Opt., Vol. 10, 1275-1297, 1965.
doi:10.1364/AO.4.001275

9. Moharam, M. G. and T. K. Gaylord, "Rigorous coupled-wave analysis of planar-grating diffraction," J. Opt. Soc. Am., Vol. 71, 811-818, 1981.
doi:10.1364/JOSAA.7.001470

10. Wang, S. S., R. Magnusson, J. S. Bagby, and M. G. Moharam, "Guided-mode resonances in planar dielectric-layer diffraction gratings," J. Opt. Soc. Am. A, Vol. 8, 1470-1475, 1990.

11. Marcuse, D., Theory of Dielectric Optical Waveguides, 2 Ed., Academic, New York, 1991.
doi:10.1109/8.192167

12. Bertoni, H. L., L. S. Cheo, and T. Tamir, "Frequency-selective reflection and transmission by a periodic dielectric layer," IEEE Trans. Antennas Propag., Vol. 37, 78-83, 1989.
doi:10.1109/22.842027

13. Tibuleac, S., R. Magnusson, T. A. Maldonado, P. P. Young, and T. R. Holzheimer, "Dielectric frequency-selective structures incorporating waveguide gratings," IEEE Trans. Microwave Theory Tech., Vol. 4, 553-561, 2000.
doi:10.1364/AO.38.005181

14. Boye, R. R., R. W. Ziolkowski, and R. K. Kostuk, "Resonant waveguide-grating switching device with nonlinear optical material," Appl. Opt., Vol. 38, 5181-5185, 1999.
doi:10.1364/OL.21.001564

15. Sharon, A., D. Rosenblatt, A. A. Friesem, H. G. Weber, H. Engel, and R. Steingrueber, "Light modulation with resonant grating-waveguide structures," Opt. Lett., Vol. 21, 1564-1566, 1996.
doi:10.1016/0030-4018(73)90333-7

16. Neviere, M., P. Vincent, R. Petit, and M. Cadilhac, "Systematic study of resonance of holographic thin film couplers," Opt. Commun., Vol. 9, 48-53, 1973.
doi:10.1016/0030-4018(94)00605-T

17. Li, L., "Analysis of planar waveguide grating coupler with double surface corrugations of ideal period," Opt. Commun., Vol. 114, 406-412, 1995.
doi:10.1109/LAWP.2003.819690

18. Coves, A., B. Gimeno, A. A. San Blas, A. Vidal, V. E. Boria, and M. V. Andres, "Three-dimensional scattering of dielectric gratings under plane-wave excitation," IEEE Antennas Wireless Propag. Lett., Vol. 2, 215-218, 2003.
doi:10.1364/AO.33.002695

19. Brundrett, D. L., E. N. Glysis, and T. K. Gaylord, "Homogeneous layer models for high-spatial-frequency dielectric surface-relief gratings: Conical diffraction and antireflection designs ," Appl. Opt., Vol. 33, 2695-2706, 1994.
doi:10.1364/JOSAA.12.001068

20. Moharam, M. G., E. B. Grann, D. A. Pommet, and T. K. Gaylord, "Formulation for stable and e±cient implementation of the rigorous coupled-wave analysis of binary gratings," J. Opt. Soc. Am. A, Vol. 12, 1068-1076, 1995.
doi:10.1364/JOSAA.12.001077

21. Moharam, M. G., D. A. Pommet, E. B. Grann, and T. K. Gaylord, "Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: Enhanced transmittance matrix approach," J. Opt. Soc. Am. A, Vol. 12, 1077-1086, 1995.
doi:10.1109/8.299592

22. Gimeno, B., J. L. Cruz, E. A. Navarro, and V. Such, "A polarizer rotator system for three-dimensional oblique incidence," IEEE Trans. Antennas Propag., Vol. 42, 912-919, 1994.
doi:10.1109/50.669048

23. Silvestre, E., M. V. Andres, and P. Andres, "Biorthonormal-basis method for the vector description of optical-fiber modes," J. Lightwave Technol., Vol. 16, 923-928, 1998.
doi:10.1364/OL.24.000276

24. Ferrando, A., E. Silvestre, J. J. Miret, P. Andres, and M. V. Andres, "Full-vector analysis of a realistic photonic crystal fiber," Opt. Lett., Vol. 24, 276-278, 1999.
doi:10.1109/TAP.2004.832507

25. Coves, A., B. Gimeno, J. Gil, M. V. Andres, A. A. San Blas, and V. E. Boria, "Full-wave analysis of dielectric frequency-selective surfaces using a vectorial modal method," IEEE Trans. Antennas Propag., Vol. 52, 2091-2099, 2004.

26. Harrington, R. F., Field Computation by Moment Methods, IEEE Press, USA, 1993.

27. Coves, A., B. Gimeno, D. Camilleri, M. V. Andres, A. A. San Blas, and V. E. Boria, "Scattering by dielectric frequency-selective surfaces using a vectorial modal method," Proceedings of IEEE AP-S Int. Symp. and URSI National Radio Sci. Meeting, 580-583, San Antonio, TX, USA, 2002.

28. Collin, R. E., Field Theory of Guided Waves, 2 Ed., IEEE Press, New York, 1991.
doi:10.1109/TMTT.1986.1133323

29. Chu, T. S. and T. Itoh, "Generalized scattering matrix method for analysis of cascaded and offset microstrip step discontinuities," IEEE Trans. Microwave Theory Tech., Vol. 34, 280-284, 1986.
doi:10.1364/AO.32.002606

30. Wang, S. S. and R. Magnusson, "Theory and applications of guided-mode resonance filters," Appl. Opt., Vol. 32, 2606-2613, 1990.
doi:10.1364/OPEX.12.001885

31. Ding, Y. and R. Magnusson, "Use of nondegenerate resonant leaky modes to fashion diverse optical spectra," Opt. Express, Vol. 12, 1885-1891, 2004.
doi:10.1364/OPEX.12.005661

32. Ding, Y. and R. Magnusson, "Resonant leaky-mode spectral-band engineering and device applications," Opt. Express, Vol. 12, 5661-5674, 2004.
doi:10.1364/OE.16.018249

33. Shokooh-Saremi, M. and R. Magnusson, "Wideband leaky-mode resonance reflectors: Influence of grating profile and sublayers," Opt. Express, Vol. 16, 18249-18263, 2008.

34. Snyder, A. W. and J. D. Love, Optical Waveguide Theory, Chapman and Hall, London, 1983.