Progress In Electromagnetics Research M
ISSN: 1937-8726
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 21 > pp. 211-222


By S. Prasad, V. Singh, and A. K. Singh

Full Article PDF (400 KB)

The dependence of reflectivity on inhomogeneous plasma density for one dimensional plasma photonic crystal is presented. The exponential varying and linear varying plasma density profiles have been chosen in such a way that the volume average permittivity remains constant. The transfer matrix method is used to derive the dispersion relation and reflectivity of the proposed structures by employing the continuity conditions of electric fields and its derivatives on the interface. The exponential varying plasma density profile gives high reflectivity than the linear varying plasma density profile in all considered cases. Also the exponential varying plasma density profile shows perfect reflection in considered volume average permittivity. This profile may be used in sensor applications or in plasma functional devices.

S. Prasad, V. Singh, and A. K. Singh, "Effect of inhomogeneous plasma density on the reflectivity in one dimensional plasma photonic crystal," Progress In Electromagnetics Research M, Vol. 21, 211-222, 2011.

1. Faith, J., S. P. Kuo, and J. Huang, "Frequency downshifting and trapping of an electromagnetic wave by a rapidly created spatially periodic plasma," Phys. Rev. E, Vol. 55, 1843-1851, 1997.

2. Kuo, S. P. and J. Faith, "Interaction of an electromagnetic wave with a rapidly created spatially periodic plasma," Physical Review E, Vol. 56, No. 2, 2143-2450, 1997.

3. 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.

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

5. Bin, G., "Photonic band gap structures of obliquely incident electromagnetic wave propagation in a one-dimension absorptive plasma photonic crystal," Physics of Plasma, Vol. 16, 043508-1-043508-6, 2009.

6. Sakai, O., T. Sakaguchi, and K. Tachibana, "Photonic bands in two-dimensional microplasma arrays. I. Theoretical derivation of band structures of electromagnetic waves," J. Appl. Phys., Vol. 101, 073304-1-073304-9, 2007.

7. Prasad, S., V. Singh, and A. K. Singh, "Modal propagation characteristics of EM waves in ternary one-dimensional plasma photonic crystals," Optik, Vol. 121, 1520-1528, 2010.

8. Song, L., W. Hong, and N. Yuan, "Finite-difference time-domain analysis of unmagnetized plasma photonic crystals," Int. J. Inf. Millimeter Waves, Vol. 27, No. 3, 403-423, 2006.

9. Hojo, H. and A. Mase, "Electromagnetic wave transmittance characteristics in one-dimensional plasma photonic crystals," J. Plasma Fusion Res. Series, Vol. 8, 477-479, 2009.

10. Song, L., Z. Shuangying, and L. Sanqiu, "A study of properties of the photonic band gap of unmagnetized plasma photonic crystal," Plasma Science and Technology, Vol. 11, No. 1, 14-17, 2009.

11. Qi, L., Z. Yang, X. Gao, F. Lan and Z. Shi, "Transmission characteristics of electromagnetic waves in plasma photonic crystal by a novel FDTD method," PIERS Proceedings, 1044-1048, Beijing, China, Mar. 23-27, 2009.

12. Sakai, O., T. Sakaguchi, and K. Tachibana, "Verification of a plasma photonic crystal for microwaves of millimeter wavelength range using two-dimensional array of columnar microplasmas," Appl. Phys. Lett., Vol. 87, 241505-1-241505-3, 2005.

13. Sakai, O., T. Sakaguchi, Y. Ito, and K. Tachibana, "Interaction and control of millimetre-waves with microplasma arrays," Plasma Phys. Contr. Fusion, Vol. 47, B617-B627, 2005.

14. Sakaguchi, T., O. Sakai, and K. Tachibana, "Photonic bands in two dimensional microplasma arrays. II. Band gaps observed in millimeter and subterahertz ranges," Journal of Applied Physics, Vol. 101, 073305-1-073305-7, 2007.

15. Fan, W. and L. Dong, "Tunable one-dimensional plasma photonic crystals in dielectric barrier discharge," Physics of Plasmas, Vol. 17, 073506-1-073506-6, 2010.

16. Dong, L., H. Xiao, W. Fan, H. Zhao, and H. Yue, "A plasma photonic crystal with tunable lattice constant," IEEE Transactions on Plasma Science, Vol. 38, No. 9, 2486-2490, 2010.

17. Qi, L., Z. Yang, F. Lan, X. Gao, and Z. Shi, "Properties of obliquely incident electromagnetic wave in one-dimensional magnetized plasma photonic crystals," Physics of Plasmas, Vol. 17, 042501-042508, 2010.

18. Kong, X.-K., S.-B. Liu, H.-F. Zhang, and C.-Z. Li, "A novel tunable filter featuring defect mode of the TE wave from one- dimensional photonic crystals doped by magnetized plasma," Physics of Plasmas, Vol. 17, 103506-1-103506-5, 2010.

19. Zhang, H.-F., M. Li, and S.-B. Liu, "Study of periodic band gap structure of the magnetized plasma photonic crystals," Optoelectronics Letters, Vol. 5, No. 2, 112-116, 2009.

20. Yang, L., Y. Xie, P. Yu, and G. Wang, "Electromagnetic bandgap analysis of 1D magnetized PPC with oblique incidence," Progress In Electromagnetics Research M, Vol. 12, 39-50, 2010.

21. Swanson, D. G., Plasma Waves, 2nd Edition, Ch. 6, 271, IOP Publishing Ltd., USA, 2003.

22. Shiveshwari, L., "Some new band characteristics in one-dimensional plasma dielectric photonic crystals," Plasma Science and Technology, Vol. 13, No. 4, 392-396, 2011.

23. Chen, J.-B., Y. Shen, W.-X. Zhou, Y.-X. Zheng, H.-B. Zhao, and L.-Y. Chen, "Comparison study of the band-gap structure of a 1D- photonic crystal by using TMM and FDTD analyses," Journal of the Korean Physical Society, Vol. 58, No. 4, 1014-1020, 2011.

24. Kruer, W. L., The Physics of Laser Plasma Interactions, Ch. 3, 32, Addison-Wesley Publishing Company, Inc., 1988.

25. Ginburg, V. L., The Properties of Electromagnetic Waves in Plasmas, Pergamon Press, 2nd Edition, Ch. 4, 193, 1964.

26. Chen, F. F., Introduction to Plasma Physics and Controlled Fusion, 2nd Edition, Ch. 4, Plenum Press, 1974.

27. 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.

© Copyright 2010 EMW Publishing. All Rights Reserved