2010-09-16
Broadening of Omnidirectional Photonic Band Gap in Si-Based One Dimensional Photonic Crystals
By
Progress In Electromagnetics Research M, Vol. 14, 101-111, 2010
Abstract
A simple design of one dimensional gradual stacked photonic crystal (GSPC) structure has been proposed. The proposed structure consists of a periodic array of alternate layers of SiO2 and Si as the materials of low and high refractive indices respectively. The structure considered here has three stacks of periodic structures with five layers each. The lattice period of successive stack is increased by a certain multiple (say gradual constant, γ) of the lattice period of the just preceding stack. For numerical computation, the method of transfer matrix method (TMM) has been employed. It is found that such a structure has wider reflection bands in comparison to a conventional dielectric PC structure, and the width of the omni-directional reflection (ODR) bands can be enlarged by increasing the value of the gradual constant. Hence, a GSPC structure can be used as a broadband omnidirectional reflector, and the bandwidth of omni-directional gaps can be tuned to a desired wavelength region by choosing appropriate value of γ.
Citation
Vipin Kumar, Khundrakpam Saratchandra Singh, Sudesh Kumar Singh, and Sant Ojha, "Broadening of Omnidirectional Photonic Band Gap in Si-Based One Dimensional Photonic Crystals," Progress In Electromagnetics Research M, Vol. 14, 101-111, 2010.
doi:10.2528/PIERM10062807
References

1. Yablonovitch, E., "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett., Vol. 58, 2059-2062, 1987.
doi:10.1103/PhysRevLett.58.2059        Google Scholar

2. John, S., "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett., Vol. 58, 2486-2489, 1987.
doi:10.1103/PhysRevLett.58.2486        Google Scholar

3. Jonnopoulos, J. D., P. Villeneuve, and S. Fan, "Photonic crystals: Putting a new twist on light," Nature, Vol. 386, 143-149, 1997.
doi:10.1038/386143a0        Google Scholar

4. Xu, K. Y., X. Zheng, C. L. Li, and W. L. She, "Design of omnidirectional and multiple channeled filters using one-dimensional photonic crystals containing a defect layer with a negative refractive index material," Phys. Rev. E, Vol. 71, 066604, 2005.
doi:10.1103/PhysRevE.71.066604        Google Scholar

5. Singh, S. K., J. P. Pandey, K. B. Thapa, and S. P. Ojha, "Some new band gaps and defect modes of one dimensional photonic crystals composed of metamaterials," Solid State Commun., Vol. 143, No. 217, 2007.        Google Scholar

6. St. J. Russell, P., S. Treadwell, and P. J. Roberts, "Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures," Opt. Commun., Vol. 160, 66-71, 1999.
doi:10.1016/S0030-4018(98)00659-2        Google Scholar

7. Kumar, V., K. S. Singh, and S. P. Ojha, "Band structures, reflection properties and abnormal behaviour of one-dimensional plasma photonic crystals," Progress In Electromagnetics Research M, Vol. 9, 227-241, 2009.
doi:10.2528/PIERM09101701        Google Scholar

8. Pandey, G. N., K. B. Thapa, S. K. Srivastava, and S. P. Ojha, "Band structures and abnormal behaviour of one dimensional photonic crystal containing negative index materials," Progress In Electromagnetics Research M, Vol. 2, 15-36, 2008.
doi:10.2528/PIERM08021501        Google Scholar

9. Dowling, J. P., "Mirror on the wall: You're omnidirectional after all?," Science, Vol. 282, 1841-1842, 1998.
doi:10.1126/science.282.5395.1841        Google Scholar

10. Yablonovitch, E., "Engineered omnidirectional external-reflectivity spectra from one-dimensional layered interference filters," Opt. Lett., Vol. 23, 1648-1649, 1998.
doi:10.1364/OL.23.001648        Google Scholar

11. Chigrin, D. N., A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, "Observation of total omnidirectional reflection from a one dimensional dielectric lattice," Appl. Phys. A: Mater. Sci. Process., Vol. 68, 25-28, 1999.        Google Scholar

12. Fink, Y., J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, "A dielectric omnidirectional reflector," Science, Vol. 282, 1679-1682, 1998.
doi:10.1126/science.282.5394.1679        Google Scholar

13. Lusk, D., I. Abdulhalim, and F. Placido, "Omnidirectional reflection from Fibonacci quasi-periodic one-dimensional photonic crystal," Opt. Commun., Vol. 198, 273-279, 2001.
doi:10.1016/S0030-4018(01)01531-0        Google Scholar

14. Ibanescu, M., Y. Fink, S. Fan, E. L. Thomas, and J. D. Joannopoulos, "An all-dielectric coaxial waveguide," Science, Vol. 289, 415-419, 2000.
doi:10.1126/science.289.5478.415        Google Scholar

15. Srivastava, S. K. and S. P. Ojha, "Omnidirectional reflection bands in one-dimensional photonic crystal structure using fullerence films," Progress In Electromagnetics Research, Vol. 74, 181-194, 2007.
doi:10.2528/PIER07050202        Google Scholar

16. Srivastava, R., S. Pati, and S. P. Ojha, "Enhancement of omnidirectional reflection in photonic crystal heterostructures," Progress In Electromagnetics Research B, Vol. 1, 197-208, 2008.
doi:10.2528/PIERB07102903        Google Scholar

17. Huang, J. P. and K. W. Yu, "Optical nonlinearity enhancement of graded metallic fllms," Appl. Phys. Lett., Vol. 85, 94-96, 2004.
doi:10.1063/1.1769086        Google Scholar

18. Sang, Z. F. and Z. Y. Li, "Effective negative refractive index of graded granular composites with metallic magnetic particles," Phys. Lett. A, Vol. 334, 422-428, 2005.
doi:10.1016/j.physleta.2004.11.047        Google Scholar

19. Huang, J. P. and K. W. Yu, "Second-harmonic generation in graded metallic films," Opt. Lett., Vol. 30, 275-277, 2005.
doi:10.1364/OL.30.000275        Google Scholar

20. Yeh, P., Optical Waves in Layered Media, John Wiley and Sons, 1988.

21. Born, M. and E. Wolf, Principle of Optics, 4th Ed., Pergamon, 1970.

22. Winn, J. N., Y. Fink, S. Fan, and J. D. Joannopoulos, "Omnidirectional reflection from a one-dimensional photonic crystal," Optics Lett., Vol. 23, 1573-1575, 1998.
doi:10.1364/OL.23.001573        Google Scholar

23. Lee, H. Y. and T. Yao, "Design and evaluation of omnidirectional one-dimensional photonic crystals," J. Appl. Phys., Vol. 93, 819-937, 2003.
doi:10.1063/1.1530726        Google Scholar

24. Srivastava, S. K. and S. P. Ojha, "Broadband optical reflector based on Si/SiO2 one dimensional graded photonic crystal structure," J. Mod. Opt., Vol. 56, No. 1, 33-40, 2009.
doi:10.1080/09500340802428330        Google Scholar