Investigation of Photonic Band Gap in Si-Based One-Dimensional Photonic Crystal

Kulandaisamy S. Joseph Wilson, Vasan Revathy

Department of Physics, Arul Anandar College (Autonomous) Karumathur, Madurai, India.

DOI: 10.4236/opj.2013.38057                

Abstract

A one-dimensional silicon based photonic crystal with nonlinear defect layers is examined. The linear and nonlinear optical properties are analyzed. The transmission spectrum was obtained by applying the optical transfer matrix formalism to the photonic crystal. The various transmittance peaks obtained with the defect layers are investigated. The nature of the transmittance peak is analyzed with the number of defect layers.

Keywords

Photonic Band Gap; 1D Photonic Crystal; Si-SiO2; Transmittance

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	E. Yablonovitch, “Inhibited Spontaneous Emission in Solid-State Physics and Electronics,” Physical Review Letters, Vol. 58, 20, 1987, pp. 2059-2062. http://dx.doi.org/10.1103/PhysRevLett.58.2059
[2]	S. John, “Strong Localization of Photons in Certain Disordered Dielectric Superlattices,” Physical Review Letters, Vol. 58, No. 23, 1987, pp. 2486-2489. http://dx.doi.org/10.1103/PhysRevLett.58.2486
[3]	G. Boedecker and C. Henkel, “All-Frequency Effective Medium Theory of a Photonic Crystal,” Optics Express, Vol. 11, No. 13, 2003, pp. 1590-1595. http://dx.doi.org/10.1364/OE.11.001590
[4]	Y. Akahane, T. Asano, B. S. Song and S. Noda, “All-Frequency Effective Medium Theory of a Photonic Crystal,” Nature, Vol. 425, No. 6961, 2003, pp. 885-989. http://dx.doi.org/10.1038/nature02063
[5]	S. J. Orfanidis, “Electromagnetic Waves and Antennas,” Ch. 6, Rutgers University, Rutgers, 2008. www.ece.rutgers.edu/~orfanidi/ewa
[6]	M. Imada, S. Noda, A. Chutinan, M. Mochizuki and T. Tanaka, “Channel Drop Filter Using a Single Defect in a 2-D Photonic Crystal Slab Waveguide,” Journal of Lightwave Technology, Vol. 20, No. 5, 2002, pp. 873-878. http://dx.doi.org/10.1109/JLT.2002.1007943
[7]	D. R. Solli, C. F. McCormick and J. M. Hickmann, “Polarization-Dependent Reflective Dispersion Relations of Photonic Crystals for Waveplate Mirror Construction,” Journal of Lightwave Technology, Vol. 24, No. 10, 2006, pp. 3864-3867. http://dx.doi.org/10.1109/JLT.2006.882252
[8]	S. Y. Lin, E. Chow, V. Hietala, P. Villeneuve and J. Joannopoulos, “Experimental Demonstration of Guiding and Bending of Electromagnetic Waves in a Photonic Crystal,” Science, Vol. 282, No. 5387, 1998, pp. 274-276. http://dx.doi.org/10.1126/science.282.5387.274
[9]	S. Noda, A. Chutinan and M. Imada, “Trapping and Emission of Photons by a Single Defect in a Photonic Bandgap Structure,” Nature, Vol. 407, No. 6804, 2000, pp. 545-658. http://dx.doi.org/10.1038/35036532
[10]	O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. Obrien, P. D. Dapkus and I. Kim, “Two-Dimensional Photonic Band-Gap Defect Mode Laser,” Science, Vol. 284, No. 5421, 1999, pp. 1819-1821. http://dx.doi.org/10.1126/science.284.5421.1819
[11]	J. E. Shen, Z. Zhang, Z. Hua, G. Ma and S. H. Tang, “Observation of Two-Photon Absorption Enhancement at Double Defect Modes in One-Dimensional Photonic Crystals,” Applied Physics Letters, Vol. 88, No. 1, 2006, Article ID: 011113. http://dx.doi.org/10.1063/1.2162698
[12]	I. V. Guryev, O. V. Shulika, I. A. Sukhoivanov and O. Mashoshina, “Improvement of Characterization Accuracy of the Nonlinear Photonic Crystals Using Finite Elements-Iterative Method,” Applied Physics B, Vol. 84, No. 1-2, 2006, pp. 83-87. http://dx.doi.org/10.1007/s00340-006-2330-y
[13]	E. D. Palik, “Handbook of Optical Constants and Solids,” Academic, Orlando, 1985.
[14]	M. Born and E. Wolf, “Principles of Optics,” 6th Edition, Pergamon, Oxfors, 1980.
[15]	Q. Zhu and Y. Zhang, “Defect Modes and Wavelength Tuning of One-Dimensional Photonic Crystal with Lithium Niobate,” Optik, Vol. 120, No. 4, 2009, pp. 195-198. http://dx.doi.org/10.1016/j.ijleo.2007.06.024
[16]	G. J. Lee, Y.P. Lee, H. Y. Kim, S. Kim and I. Park, “Detailed Treatment of the Nonlinear Optical Properties of Nonlinear Photonic Crystals,” Journal of the Korean Physical Society, Vol. 55, No. 3, 2009, pp. 1237-1242. http://dx.doi.org/10.3938/jkps.55.1237