Vol. 140
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]
2013-06-09
The Influence of Light Beam Convergence on the Stop-Bands of a One-Dimensional Photonic Crystal
By
Progress In Electromagnetics Research, Vol. 140, 369-384, 2013
Abstract
The influence of beam convergence on the photonic band-gaps, or stop-bands (SBs), of onedimensional photonic crystals (1D PCs) is investigated. The investigation is based on an analysis of the gap map obtained from reflection spectra, calculated by the transfer matrix method for various angles of light incidence, φ, The calculated data is compared with reflection spectra taken using Fourier Transform Infrared microspectroscopy. It was found that the introduction of the parameter, Δφ to account for the focused light beam, for angles up to 20°, has little effect on the first, or lowest SB and the SBs adjacent to it. However, an increase in the order of the SB causes an increase in the influence of this parameter.
Citation
Vladimir A. Tolmachev, Kevin Berwick, and Tatiana S. Perova, "The Influence of Light Beam Convergence on the Stop-Bands of a One-Dimensional Photonic Crystal," Progress In Electromagnetics Research, Vol. 140, 369-384, 2013.
doi:10.2528/PIER13041703
References

1. Joannopoulos, J. D., S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals. Molding the Flow of Light, 2nd Ed., Princeton University Press, Princeton, 2008.

2. Lourtioz, J.-M., H. Benisty, V. Bergerm, J.-M. Gerard, D. Maystre, and A. Tchelnokov, Photonic Crystals: Towards Nanoscale Photonic Devices, Springer-Verlag Berlin Heidelberg, 2005.

3. Soref, R., "The past, present and future of silicon photonics," IEEE J. Select. Top. Quantum Electr., Vol. 12, 1678-1687, 2006.
doi:10.1109/JSTQE.2006.883151

4. Almeida, V. R., C. A. Barrios, R. R. Panepucci, and M. Lipson, "All-optical control of light on a silicon chip," Nature, Vol. 431, 1081-1084, 2004.
doi:10.1038/nature02921

5. Topics in Applied Physics 119: Silicon Photonics II Components and Integration , D. J. Lockwood and L. Pavesi, Eds., Springer-Verlag Berlin Heidelberg, 2011.

6. Baldycheva, A., V. Tolmachev, T. Perova, Y. Zharova, E. Astrova, and K. Berwick, "Silicon photonic crystal filter with ultrawide passband characteristics," Optics Letters, Vol. 36, No. 10, 1854-1856, 2011.
doi:10.1364/OL.36.001854

7. Barillaro, G., S. Merlo, S. Surdo, L. M. Strambini, and F. Carpignano, "Integrated optofluidic microsystem based on vertical high-order one-dimensional silicon photonic crystals," Microfluid Nanofluid, Vol. 12, 545-552, 2012.
doi:10.1007/s10404-011-0896-0

8. Ghulinyan, M., C. J. Oton, G. Bonetti, Z. Gaburro, and L. Pavesi, "Free-standing porous silicon single and multiple optical cavities," J. Appl. Phys., Vol. 93, No. 12, 9724-9729, 2003.
doi:10.1063/1.1578170

9. Gruning, U., V. Lehmann, S. Ottow, and K. Busch, "Macroporous silicon with a complete two-dimensional photonic band gap centred at 5μm," Appl. Phys. Lett., Vol. 68, 747-749, 1996.
doi:10.1063/1.116729

10. Krauss, T. F. and R. M. de La Rue, "Optical characterization of waveguide based photonic microstructures," Appl. Phys. Lett., Vol. 75, 3063-3065, 1999.

11. Rowson, S., A. Chelnokov, C. Cuisin, and J.-M. Lourtioz, "Two-dimensional photonic bandgap reflectors for free-propagating beams in the mid-infrared," J. Opt. A: Pure Appl. Opt., Vol. 1, 483-489, 1999.
doi:10.1088/1464-4258/1/4/312

12. Nguyen, H. C., P. Domachuk, B. J. Eggleton, M. J. Steel, M. Straub, M. Gu, and M. Sumetsky, "New slant on photonic crystal fibers," Opt. Exp., Vol. 12, No. 8, 1528-1539, 2004.
doi:10.1364/OPEX.12.001528

13. Tolmachev, V. A., T. S. Perova, E. V. Astrova, B. Z. Volchek, and J. K. Vij, "Vertically etched silicon as 1D photonic crystal," Phys. Stat. Solidi (a), Vol. 197, No. 2, 544-549, 2003.
doi:10.1002/pssa.200306561

14. Palik, E. D., Handbook of Optical Constants of Solids, Academic Press, Inc., NY, 1985.

15. Azzam, R. M. A. and N. M. Bashara, Ellipsometry and Polarized Light, North-Holland, Amsterdam, Netherlands, 1977.

16. Tolmachev, V., T. Perova, E. Krutkova, and E. Khokhlova, "Elaboration of the gap map method for the design and analysis of one-dimensional photonic crystal structures," Physica E: Low-dimensional Systems and Nanostructures, Vol. 41, 1122-1126, 2009.
doi:10.1016/j.physe.2008.08.065

17. Tolmachev, V. A., A. V. Baldycheva, K. Berwick, and T. S. Perova, "Influence of fluctuations of the geometrical parameters on the photonic band gaps in one-dimensional photonic crystals," Progress In Electromagnetic Research, Vol. 126, 285-302, 2012.
doi:10.2528/PIER12020109

18. Tolmachev, V. A., T. S. Perova, S. A. Grudinkin, V. A. Melnikov, E. V. Astrova, and Y. A. Zharova, "Electro-tunable in-plane one-dimensional photonic structure based on silicon and liquid crystal," Appl. Phys. Lett., Vol. 90, No. 1, 011908/1-3, 2007.
doi:10.1063/1.2430626

19. Tolmachev, V. A., T. S. Perova, J. Ruttle, and E. V. Khokhlova, "Design of one-dimensional photonic crystals using combination of band diagram and photonic gap map approaches," J. Appl. Phys., Vol. 104, No. 3, 033536, 2008.
doi:10.1063/1.2963700

20. Tolmachev, V. A., A. V. Baldycheva, S. A. Dyakov, K. Berwick, and T. S. Perova, "Optical contrast tuning in three-component one-dimensional photonic crystals," J. of Lightwave Tech., Vol. 28, No. 10, 1521-1529, 2010.
doi:10.1109/JLT.2010.2047493

21. Tolmachev, V. A., V. A. Melnikov, A. V. Baldycheva, K. Berwick, and T. S. Perova, "Electrically tunable Fabry-Perot resonator based on microstructured Si containing liquid crystal," Progress In Electromagnetic Research, Vol. 122, 293-309, 2012.
doi:10.2528/PIER11091506

22. Liu, C.-C. and C.-J. Wu, "Near infrared filtering properties in photonic crystal containing extrinsic and dispersive semiconductor defect ," Progress In Electromagnetic Research, Vol. 137, 359-370, 2013.

23. Hung, H.-C., C.-J. Wu, T.-J. Yang, and S.-J. Chang, "Enhancement of near-infrared photonic band gap in a doped semiconductor photonic crystal," Progress In Electromagnetics Research, Vol. 125, 219-235, 2012.
doi:10.2528/PIER12010311

24. Wu, C.-J., T.-J. Yang, C.-C. Li, and P.-Y. Wu, "Investigation of effective plasma frequencies in one-dimensional plasma photonic crystals," Progress In Electromagnetics Research, Vol. 126, 521-538, 2012.
doi:10.2528/PIER12030505

25. Chang, T.-W., J.-J. Wu, and C.-J. Wu, "Complex photonic band structures in a photonic crystal containing lossy semiconductor InSb," Progress In Electromagnetics Research, Vol. 131, 153-167, 2012.

26. Yong, Z. H., Z. F. Chen, Y. H. Chen, C. W. Leung, H. Lai, Wa Chan, B. Li, and Y. Wang, "Temporal modulation of light intensity via 1D time-variant photonic crystal structure," Progress In Electromagnetics Research, Vol. 135, 627-639, 2013.