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Progress In Electromagnetics Research
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THE INFLUENCE OF LIGHT BEAM CONVERGENCE ON THE STOP-BANDS OF A ONE-DIMENSIONAL PHOTONIC CRYSTAL

By V. A. Tolmachev, K. Berwick, and T. S. Perova

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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:
V. A. Tolmachev, K. Berwick, and T. 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
http://www.jpier.org/PIER/pier.php?paper=13041703

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.


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