2011-12-11
To Control the Propagation Characteristic of One-Dimensional Plasma Photonic Crystal Using Exponentially Graded Dielectric Material
By
Progress In Electromagnetics Research M, Vol. 22, 123-136, 2012
Abstract
The effect of exponentially graded material on the modal dispersion characteristics, group velocity and effective group index as well as phase index of refraction of a binary One-Dimensional Plasma Photonic Crystals (1D-PPCs) has been studied. The dispersion relation is derived by solving Maxwell's equations and using the transfer matrix method. The anomalous dispersion characteristics are observed for different values of selection parameters. The introduction of graded dielectric layers in 1D-PPCs provides additional parameters for controlling the propagation characteristics of 1D-PPCs. Also, the band gap is shown to become larger with the increase of plasma frequency and plasma width. Hence the structure having plasma and exponentially graded dielectric layer in unit cell is more useful for controlling and tuning of the plasma functioning devices than the structure having plasma and homogeneous dielectric layer in one unit cell.
Citation
Surendra Prasad, Vivek Singh, and Abhay Kumar Singh, "To Control the Propagation Characteristic of One-Dimensional Plasma Photonic Crystal Using Exponentially Graded Dielectric Material," Progress In Electromagnetics Research M, Vol. 22, 123-136, 2012.
doi:10.2528/PIERM11090501
References

1. Yablonovitch, E., "Inhibited spontaneous emission in solid state physics and electronics," Phys. Rev. Lett., Vol. 58, 2059-2063, 1987.
doi:10.1103/PhysRevLett.58.2059        Google Scholar

2. John, S., "Strong localization of photons in certain disordered dielectric super lattices," Phys. Rev. Lett., Vol. 58, 2486-2489, 1989.
doi:10.1103/PhysRevLett.58.2486        Google Scholar

3. Joannoupoulos, J. D., R. D. Mende, and J. N. Winn, Photonic Crystal: Molding the Flow of Light, N. J. Princeton University Press, 1995.

4. Sakoda, K., Optical Properties of Photonic Crystals, Springer, 2005.

5. Zi, J., J. Wan, and C. Zhang, "Large frequency range of negligible transmission in one-dimensional photonic quantum well structures," Appl. Phys. Lett., Vol. 73, 2084-2086, 1998.
doi:10.1063/1.122385        Google Scholar

6. Chien, H. T. and C. C. Chen, "Focusing of electromagnetic waves by periodic arrays of air holes with gradually varying radii," Opt. Express, Vol. 14, No. 22, 10759-10764, 2006.
doi:10.1364/OE.14.010759        Google Scholar

7. Tian, H., Y. Ji, C. Li, and H. Liu, "Transmission properties of one-dimensional graded photonic crystals and enlargement of omni-directional negligible transmission gap," Optics Communications, Vol. 275, 83-89, 2007.
doi:10.1016/j.optcom.2007.03.003        Google Scholar

8. Goncharov, A. A., A. V. Zatuagan, and I. M. Protsenko, "Focusing and control of multiaperture ion beams by plasma lenses," IEEE Trans. Plasma Sci., Vol. 21, 578-581, 1993.
doi:10.1109/27.249646        Google Scholar

9. Dwyer , T., J. Greig, D. Murphy, J. Perin, R. Pechacek, and M. Raleigh, "On the feasibility of using an atmospheric discharge plasma as an RF antenna," IEEE Trans. Antennas Propag., Vol. 32, 141-146, 1984.
doi:10.1109/TAP.1984.1143275        Google Scholar

10. Vidmar, R. J., "On the use of atmospheric pressure plasmas as electromagnetic reflectors and absorbers," IEEE Trans. Plasma Sci., Vol. 18, 733-741, 1990.
doi:10.1109/27.57528        Google Scholar

11. Pacher, , C., C. Rauch, G. Strasser, E. Gornik, F. Elsholz, A. Wacker, G. KleBlich, and E. Scholl, "Antireflection coating for miniband transport and Fabry-Perot resonances in GaAs/AlGaAs superlattices," Appl. Phys. Lett., Vol. 79, 1486-1488, 2001.
doi:10.1063/1.1399315        Google Scholar

12. Hojo, H. and A. Mase, "Dispersion relation of electromagnetic waves in one-dimensional Plasma photonic crystals," J. Plasma Fusion Res., Vol. 80, No. 2, 89-90, 2004.
doi:10.1585/jspf.80.89        Google Scholar

13. Laxmi, S. and P. Mahto, "Photonic band gap effect in one-dimensional plasma dielectric photonic crystals," Solid State Commun., Vol. 138, 160-164, 2006.        Google Scholar

14. Ojha, S. P., K. B. Thapa, and S. K. Singh, "Superluminal propagation in plasma photonic band gap materials," Optik, Vol. 119, 81-85, 2008.
doi:10.1016/j.ijleo.2006.06.014        Google Scholar

15. Kumar, V., K. S. Singh, and S. P. Ojha, "Band structure, 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

16. Kong, X.-K., H.-W Yang, and S.-B. Liu, "Anomalous dispersion in one-dimensional plasma photonic crystals," Optik, Vol. 121, No. 20, 1873-1876, 2010.
doi:10.1016/j.ijleo.2009.05.010        Google Scholar

17. Bin, G., "Transfer Matrix for obliquely incident electromagnetic waves propagating in one dimension plasma photonic crystals," Plasma Science and Technology, Vol. 11, No. 1, 18-22, 2009.
doi:10.1088/1009-0630/11/1/04        Google Scholar

18. Prasad, S., V. Singh, and A. K. Singh, "Modal propagation characteristics of EM waves in ternary one-dimensional plasma photonic crystals," Optik, Vol. 121, No. 16, 1520-1528, 2010.
doi:10.1016/j.ijleo.2009.02.024        Google Scholar

19. Prasad, S., V. Singh, and A. K. Singh, "A Comparative study of dispersion relation of EM Waves in Ternary one-dimensional plasma photonic crystals having two different structures," Optik, Vol. 122, 1279-1283, 2011.
doi:10.1016/j.ijleo.2010.08.015        Google Scholar

20. Hocker, G. B. and W. K. Burns, "Modes in diffused optical waveguides of arbitrary index profile," IEEE J. of Quantum Electronics, Vol. 11, No. 6, 270-276, 1975.
doi:10.1109/JQE.1975.1068610        Google Scholar

21. Huang, S. Y. and S. Y. Wang, "Ray optics of a planar waveguide with an exponential index profile," J. Appl. Phys., Vol. 55, No. 3, 647-651, 1984.
doi:10.1063/1.333117        Google Scholar

22. Huang, S.Y. and S.Y. Wang, "Light propagation characteristics in various dielectric waveguides," Chinese Journal of Physics, Vol. 24, No. 2, 129-137, 1986.        Google Scholar

23. Chiang, H. P., P. T. Leung, and W. S. Tse, "Remarks on the substrate-temperature dependence of surface-enhanced Raman scattering," J. Phys. Chem. B, Vol. 104, No. 10, 2348-2350, 2000.
doi:10.1021/jp993371e        Google Scholar

24. Kaminow, I. P. and J. A. Carruthers, "Optical waveguiding layers in LiNb03 and LiTa03," Appl. Phys. Lett., Vol. 22, 326-328, 1973.
doi:10.1063/1.1654657        Google Scholar

25. Sang, Z. F. and Z. Y. Li, "Optical properties of one-dimensional photonic crystals containing graded materials," Optics Communications, Vol. 259, 174-178, 2006.
doi:10.1016/j.optcom.2005.08.042        Google Scholar

26. Sang, Z. F. and Z. Y. Li, "Properties of defect modes in one-dimensional photonic crystals containing a graded defect layer," Optics Communications, Vol. 273, 162-166, 2007.
doi:10.1016/j.optcom.2006.12.008        Google Scholar

27. Thapa, K. B., P. C. Pandey, S. K. Singh, and S. P. Ojha, "Omni-directional bands in multilayer structure containing exponentially graded materials," Journal of Modern Optics, Vol. 56, No. 11, 1309-1315, 2009.
doi:10.1080/09500340903090138        Google Scholar

28. Yeh, P., A. Yariv, and C. S. Hong, "Electromagnetic propagation in periodic stratified media - I. General theory," J. Opt. Soc. Am., Vol. 67, No. 4, 423-438, 1977.
doi:10.1364/JOSA.67.000423        Google Scholar