Search search
Publication Date
to
Vol. 2
Latest Volume
All Volumes
PIERM 139 PIERM 138 PIERM 137 PIERM 136 PIERM 135 PIERM 134 PIERM 133 PIERM 132 PIERM 131 PIERM 130 PIERM 129 PIERM 128 PIERM 127 PIERM 126 PIERM 125 PIERM 124 PIERM 123 PIERM 122 PIERM 121 PIERM 120 PIERM 119 PIERM 118 PIERM 117 PIERM 116 PIERM 115 PIERM 114 PIERM 113 PIERM 112 PIERM 111 PIERM 110 PIERM 109 PIERM 108 PIERM 107 PIERM 106 PIERM 105 PIERM 104 PIERM 103 PIERM 102 PIERM 101 PIERM 100 PIERM 99 PIERM 98 PIERM 97 PIERM 96 PIERM 95 PIERM 94 PIERM 93 PIERM 92 PIERM 91 PIERM 90 PIERM 89 PIERM 88 PIERM 87 PIERM 86 PIERM 85 PIERM 84 PIERM 83 PIERM 82 PIERM 81 PIERM 80 PIERM 79 PIERM 78 PIERM 77 PIERM 76 PIERM 75 PIERM 74 PIERM 73 PIERM 72 PIERM 71 PIERM 70 PIERM 69 PIERM 68 PIERM 67 PIERM 66 PIERM 65 PIERM 64 PIERM 63 PIERM 62 PIERM 61 PIERM 60 PIERM 59 PIERM 58 PIERM 57 PIERM 56 PIERM 55 PIERM 54 PIERM 53 PIERM 52 PIERM 51 PIERM 50 PIERM 49 PIERM 48 PIERM 47 PIERM 46 PIERM 45 PIERM 44 PIERM 43 PIERM 42 PIERM 41 PIERM 40 PIERM 39 PIERM 38 PIERM 37 PIERM 36 PIERM 35 PIERM 34 PIERM 33 PIERM 32 PIERM 31 PIERM 30 PIERM 29 PIERM 28 PIERM 27 PIERM 26 PIERM 25 PIERM 24 PIERM 23 PIERM 22 PIERM 21 PIERM 20 PIERM 19 PIERM 18 PIERM 17 PIERM 16 PIERM 14 PIERM 13 PIERM 12 PIERM 11 PIERM 10 PIERM 9 PIERM 8 PIERM 7 PIERM 6 PIERM 5 PIERM 4 PIERM 3 PIERM 2 PIERM 1
All Journals
PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2008-04-08
Band Structures and Abnormal Behavior of One Dimensional Photonic Crystal Containing Negative Index Materials
By
Girijesh Narayan Pande,

    Dr. Girijesh Narayan Pande

    Department of Applied Physics

    Amity University

    India

    Homepage

Khem Thapa,

    Dr. Khem Thapa

    Department of Physics

    Chhatrapati Sahu Ji Maharaj University

    India

    Homepage

Sanjeev Srivastava,

    Dr. Sanjeev Srivastava

    Department of Physics

    Amity University

    India

    Homepage

Sant Ojha

    Prof. Sant Ojha

    Department of Physics

    Shobhit University Meerut

    India

    Homepage

Progress In Electromagnetics Research M, Vol. 2, 15-36, 2008
doi:10.2528/PIERM08021501 | Google Scholar

Abstract
We have studied the optical properties, band structures and group velocities, of one dimensional photonic crystal (1-D PC) containing negative index materials using translational matrix method (TMM). The 1-D PC containing negative index materials is a periodic arrangement of positive index material (PIM) and negative index material (NIM). The observed group velocity of such structure is larger than the speed of light in certain range of normalized frequency which shown abnormal behaviors. The group velocity of the PC containing negative index materials have found larger than the speed of light. The values of the group velocity become zero, negative and positive for normalized frequencies. The structure containing negative index materials can be used to trap the photons inside the PC i.e., light localization occurs without introducing the defects.
Download Full Article (229) View Full Article volume
Citation
Girijesh Narayan Pande, Khem Thapa, Sanjeev Srivastava, and Sant Ojha, "Band Structures and Abnormal Behavior of One Dimensional Photonic Crystal Containing Negative Index Materials," Progress In Electromagnetics Research M, Vol. 2, 15-36, 2008.
doi:10.2528/PIERM08021501
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 photon in certain disordered dielectric superlattice," Phys. Rev. Lett., Vol. 58, 2486-2489, 1987.
doi:10.1103/PhysRevLett.58.2486        Google Scholar

3. Guida, G., A. de Lustrac, and A. Priou, "An introduction to photonic band gap (PBG) materials," Progress In Electromagnetics Research, Vol. 41, 1-20, 2003.
doi:10.2528/PIER02010801        Google Scholar

4. Rojas, J. A. M., J. Alpuente, J. Pineiro, and R. Sanchez, "Rigorous full vectorial analysis of electromagnetic wave propagation in 1D Inhomogeneous media," Progress In Electromagnetics Research, Vol. 63, 89-105, 2006.
doi:10.2528/PIER06042501        Google Scholar

5. Banerjee, A., S. K. Awasthi, U. Malaviya, and S. P. Ojha, "Design of a nano-layered tunable optical filter," J. of Modern Optics, Vol. 53, 1739-1752, 2006.
doi:10.1080/09500340600590547        Google Scholar

6. Aissaoui, M., J. Zaghdoudi, M. Kanzari, and B. Rezig, "Optical properties of the quasi-periodic one-dimensional generalized multilayer fibonacci structures," Progress In Electromagnetics Research, Vol. 59, 69-83, 2006.
doi:10.2528/PIER05091701        Google Scholar

7. Veselago, V. G., "The electrodynamics of substances with simultaneously negative values of ε and μ," Soviet Physics Uspekh1, Vol. 10, 509-514, 1968.
doi:10.1070/PU1968v010n04ABEH003699        Google Scholar

8. Pendry, J. B., A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low frequency plasmons in metallic mesostructures," Phys. Rev. Lett., Vol. 76, 4773-4778, 1996.
doi:10.1103/PhysRevLett.76.4773        Google Scholar

9. Pendry, J. B., "Negative refraction makes a perfect lens," Phys. Rev. Lett., Vol. 85, 3966-3970, 2000.
doi:10.1103/PhysRevLett.85.3966        Google Scholar

10. Kong, J. A., "Electromagnetic wave interaction with stratified negative isotropic media," Progress In Electromagnetics Research, Vol. 35, 1-52, 2002.
doi:10.2528/PIER01082101        Google Scholar

11. Zhang, Y., T. M. Grzegorczyk, and J. A. Kong, "Propagation of electromagnetic waves in a slab with negative permittivity and Negative permeability," Progress In Electromagnetics Research, Vol. 35, 271-286, 2002.
doi:10.2528/PIER01081901        Google Scholar

12. Smith, D. R., W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett., Vol. 84, 4184-4188, 2000.
doi:10.1103/PhysRevLett.84.4184        Google Scholar

13. Shelby, R. A., D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, Vol. 292, 72-75, 2001.
doi:10.1126/science.1058847        Google Scholar

14. Ramakrishna, S. A., "Physics of negative index materials," Report Prog. Phys., Vol. 68, 449-525, 2005.
doi:10.1088/0034-4885/68/2/R06        Google Scholar

15. Zhang, Z. M. and C. J. Fu, "Unusual photon tunneling in the presence of a layer with a negative refractive index," Appl. Phys. Lett., Vol. 80, 1097-1102, 2002.
doi:10.1063/1.1448172        Google Scholar

16. Wu, L., S. He, and L. Shen, "Band structure for a one-dimensional photonic crystal containing left handed materials," Phys. Rev. B, Vol. 67, 235103-12, 2003.
doi:10.1103/PhysRevB.67.235103        Google Scholar

17. Jiang, H., H. Chen, H. Li, Y. Zhang, J. Zi, and S. Zhu, "Properties of one dimensional photonic crystals containing single-negative materials," Phys. Rev. E, Vol. 69, 066607-10, 2004.
doi:10.1103/PhysRevE.69.066607        Google Scholar

18. Bria, D., B. Djafari-Rouhani, A. Akjouj, L. Dobrzynski, J. P. Vigneron, E. H. ElBoudouti, and A. Nougaoui, "Band structure and omni directional photonic band gaps in lamellar structure with left handed materials," Phys. Rev. E, Vol. 69, 066613-12, 2005.
doi:10.1103/PhysRevE.69.066613        Google Scholar

19. Shadrivov, I. V., A. A. Sukhorukov, and Y. S. Kivshar, "Complete band gaps in one dimensional left handed periodic structure," Phys. Rev. Lett., Vol. 95, 193903-4, 2005.
doi:10.1103/PhysRevLett.95.193903        Google Scholar

20. Wu, R. X., "Wave polarization and left-handed materials in metallic magnetic thin films," Progress In Electromagnetics Research Symposium, 459-463, Hangzhou, China, August 2005.

21. Shu, W. and J. M. Song, "Complete mode spectrum of a grounded dielectric slab with double negative metamaterials," Progress In Electromagnetics Research, Vol. 65, 103-123, 2006.
doi:10.2528/PIER06081601        Google Scholar

22. Singh, S. K., J. P. Pandey, K. B. Thapa, and S. P. Ojha, "Structural parameters in the formation of omnidirectional high reflectors," Progress In Electromagnetics Research, Vol. 70, 53-78, 2007.
doi:10.2528/PIER07010501        Google Scholar

23. Nicolae, C., R. M. Osgood, Jr., S. Zhang, and S. R. T. Brueck, "Zero average refractive index band gap in PC superlattices," J. Opt. Soc. Am. B, Vol. 23, 506-512, 2006.
doi:10.1364/JOSAB.23.000506        Google Scholar

24. Jiang, H., H. Chen, and S. Zhu, "Localized gap-edge fields of one dimensional PC with an ε negative and a μ negative defect," Phys. Rev. E, Vol. 79, 0466601-8, 2006.        Google Scholar

25. Nanda, L., A. Basu, and S. A. Ramakrishna, "Delay times and detector times for optical pulses traveling plasma and negative refractive media," Phys. Rev. B, Vol. 74, 036601-7, 2006.        Google Scholar

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

27. Dowling, J. P. and C. M. Bowden, "Anomalous index of refraction in photonic bandgap materials," J. Mod Optics, Vol. 41, 345-352, 1994.
doi:10.1080/09500349414550371        Google Scholar

28. Sakoda, K., "Optical Properties of Photonic Crystal," Springer Verlag Press, 2001.        Google Scholar

29. Jeong, D. Y., Y. H. Ye, and Q. M. Zhang, "Effective optical properties associated with wave propagation in photonic crystal of finite length along the propagation direction," J. Appl. Phys., Vol. 92, 4194-4206, 2002.
doi:10.1063/1.1506390        Google Scholar

Download Full Article (229) View Full Article volume


The EM Academy piers.org jpier.org Who's Who in EM
Copyright © 2022 The Electromagnetics Academy. All Rights Reserved.