volume | PIER Journals

Abstract

In this work, the multiple filtering phenomenon in a photonic crystal made of single-negative (SNG) materials is investigated. We consider a finite photonic crystal (AB)^N immersed in air, in which A, B are epsilon-negative (ENG) and mu-negative (MNG) materials, respectively, and N is the stack number. It is found that such a photonic crystal can function as a multichannel transmission filter with a channel number equal to N-1. The required condition is that the thickness of MNG layer must be larger than that of ENG layer when magnetic plasma frequency is greater than electric plasma frequency. The channel frequencies can be red-shifted as the thickness of MNG layer decreases. The channel positions can be tuned by the incidence angle for both TE and TM polarizations. That is, the peak frequency is blue-shifted when the angle of incidence increases. Additionally, the influence of the static permeability of ENG medium and permittivity of MNG medium is also illustrated. The proposed structure can thus be used to design as a tunable multichannel filter which is of technical use in signal processing.

1. Orfanidis, S. J., Electromagnetic Waves and Antennas, Chapter 7, Rutger University, 2008, www.ece.rutgers.edu/»orfanidi/ewa.

2. Wu, C.-J. and Z.-H. Wang, "Properties of defect modes in one-dimensional photonic crystals," Progress In Electromagnetics Research, Vol. 103, 169-184, 2010.
doi:10.2528/PIER10031706 Google Scholar

3. Qiao, F., C. Zhang, and J. Wan, "Photonic quantum-well structure: Multiple channeled filtering phenomena," Applied Physics Letters, Vol. 77, 3698-3700, 2000.
doi:10.1063/1.1330570 Google Scholar

4. Liu, J., J. Sun, C. Huang, W. Hu, and D. Huang, "Optimizing the spectral efficiency of photonic quantum well structures," Optik, Vol. 120, 35-39, 2009.
doi:10.1016/j.ijleo.2007.06.011 Google Scholar

5. Lin, W.-H., C.-J. Wu, T.-J. Yang, and S.-J. Chang, "Terahertz multichanneled filter in a superconducting photonic crystal," Optics Express, Vol. 18, 27155-27166, 2009.
doi:10.1364/OE.18.027155 Google Scholar

6. Li, C., S. Liu, X. Kong, H. Zhang, B. Bian, and X. Zhang, "A novel comb-like plasma photonic crystal filter in the presence of evanescent wave ," IEEE Transactions on Plasma Science, Vol. 39, 1969-1973, 2011.
doi:10.1109/TPS.2011.2162653 Google Scholar

7. Wu, C.-J., Y.-J. Lee, T.-C. King, and W.-K. Kuo, "A multichannel filter based on the finite plasma photonic crystal," Key Engineering Materials, Vol. 538, 297-300, 2013.
doi:10.4028/www.scientific.net/KEM.538.297 Google Scholar

8. Hung, H.-C., C.-J. Wu, T.-J. Yang, and S.-J. Chang, "Analysis of tunable multiple-filtering property in a photonic crystal containing strongly extrinsic semiconductor," Journal of Electromagnetic Waves and Applications, Vol. 25, No. 14-15, 2089-2099, 2011.
doi:10.1163/156939311798072009 Google Scholar

9. Veselago, V. G., "The electrodynamics of substances with simultaneously negative values of ε and μ," Sov. Phys. Usp., Vol. 10, 509-514, 1968.
doi:10.1070/PU1968v010n04ABEH003699 Google Scholar

10. Feng, T., Y. Li, H. Jiang, W. Li, F. Yang, X. Dong, and H. Chen, "Tunable single-negative metamaterials based on microstrip transmission line with varactor diodes loading," Progress In Electromagnetics Research, Vol. 120, 35-50, 2011. Google Scholar

11. Lin, W.-H., C.-J. Wu, T.-J. Yang, and S.-J. Chang, "Analysis of dependence of resonant tunneling on static positive parameters in a single-negative bilayer ," Progress In Electromagnetics Research, Vol. 118, 151-165, 2011.
doi:10.2528/PIER11040202 Google Scholar

12. Radi, Y., S. Nikmehr, and S. Hosseinzadeh, "A rigorous treatment of vertical dipole impedance located above lossy DPS, MNG, ENG, and DNG half-space," Progress In Electromagnetics Research, Vol. 116, 107-121, 2011. Google Scholar

13. Petrillo, L., F. Jangal, M. Darces, J.-L. Montmagnon, and M. Hélier, "Negative permittivity media able to propagate a surface wave," Progress In Electromagnetics Research, Vol. 115, 1-10, 2011. Google Scholar

14. Ng Mou Kehn, M., "Spherical slotted antenna coated with double layer of materials having combinations of singly and doubly negative parameters and consequences of mode resonances," Progress In Electromagnetics Research B, Vol. 45, 223-249, 2012. Google Scholar

15. Liu, C.-H. and N. Behdad, "Theoretical examination of electromagnetic wave tunneling through cascaded ε- and μ-negative metamaterial slabs," Progress In Electromagnetics Research B, Vol. 42, 1-22, 2012. Google Scholar

16. Alu, A. and N. Engheta, "Pairing an epsilon-negative slab with a mu-negative slab: Resonance, tunneling and transparency," IEEE Transactions on Antenna Propagation, Vol. 51, 2558-2571, 2003.
doi:10.1109/TAP.2003.817553 Google Scholar

17. Castaldi, G., I. Gallina, V. Galdi, A. Alu, and N. Engheta, "Electromagnetic tunneling through a single-negative slab paired with a double-positive bilayer," Physical Review B, Vol. 83, 081105(R), 2011. Google Scholar

18. Cojocaru, E., "Electromagnetic tunneling in lossless trilayer stacks containing single-negative metamaterials," Progress In Electromagnetics Research, Vol. 113, 227-249, 2011. Google Scholar

19. Feng, T., Y. Li, H. Jiang, Y. Sun, L. He, H. Li, Y. Zhang, Y. Shi, and H. Chen, "Electromagnetic tunneling in a sandwich structure containing single negative media," Physical Review E, Vol. 79, 026601, 2009.
doi:10.1103/PhysRevE.79.026601 Google Scholar

20. Ding, Y. Q., Y. H. Li, H. T. Jiang, and H. Chen, "Electromagnetic tunneling in nonconjugated epsilon-negative and mu-negative metamaterial pair," PIERS Online, Vol. 6, No. 2, 109-112, 2010.
doi:10.2529/PIERS091004104845 Google Scholar

21. Fredkin, D. R. and A. Ron, "Effective left-handed (negative index) composite material," Applied Physics Letters, Vol. 81, 1753-1755, 2002.
doi:10.1063/1.1505119 Google Scholar

22. Wang, L. G., H. Chen, and S. Y. Zhou, "Omnidirectional gap and defect mode of one-dimensional photonic crystals with single-negative materials," Physical Review B, Vol. 70, 245102, 2004.
doi:10.1103/PhysRevB.70.245102 Google Scholar

23. Yeh, D.-W. and C.-J. Wu, "Analysis of photonic band structure in a one-dimensional photonic crystal containing single-negative material," Optics Express, Vol. 17, 16666-16680, 2009.
doi:10.1364/OE.17.016666 Google Scholar

24. Yeh, D.-W. and C.-J. Wu, "Thickness-dependent photonic bandgap in a one-dimensional single-negative photonic crystal," Journal of Optical Society of America B, Vol. 26, 1506-1510, 2009.
doi:10.1364/JOSAB.26.001506 Google Scholar

25. Chen, Y., X. Wang, Z. Yong, Y. Zhang, Z. Chen, L. He, P. F. Lee, H. L. W. Chan, C. W. Leung, and Y. Wang, "Experimental investigation of photonic band gap in one-dimensional photonic crystals with metamaterials," Physics Letters A, Vol. 376, 1396-1400, 2012.
doi:10.1016/j.physleta.2012.01.044 Google Scholar

26. Lin, W.-H., C.-J. Wu, and S.-J. Chang, "Angular dependence of wave reflection in a lossy single-negative bilayer," Progress In Electromagnetics Research, Vol. 107, 253-267, 2010.
doi:10.2528/PIER10061606 Google Scholar

27. Yeh, P., Optical Waves in Layered Media, John Wiley & Sons, Singapore, 1991.

28. Lin, W.-H., C.-J. Wu, and S.-J. Chang, "Analysis of angle-dependent unusual transmission in lossy single-negative (SNG) materials," Solid State Communications, Vol. 150, 1729-1732, 2010.
doi:10.1016/j.ssc.2010.07.035 Google Scholar

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

30. Depine, R. A., M. L. Martínez-Ricci, J. A. Monsoriu, E. Silvestre, and P. Andrés, "Zero permeability and zero permittivity band gaps in 1D metamaterial photonic crystals," Physics Letters A, Vol. 364, 352-355, 2007.
doi:10.1016/j.physleta.2006.11.093 Google Scholar

31. Dong, L., G. Du, H. Jiang, H. Chen, and Y. Shi, "Transmission properties of lossy single-negative materials," Journal of Optical Society of America B, Vol. 26, 1091-1096, 2009.
doi:10.1364/JOSAB.26.001091 Google Scholar

32. Eleftheriades, G. V., A. K. Iyer, and P. C. Kremer, "Planar negative refractive index media using periodically L-C loaded transmission lines," IEEE Transactions on Microwave Theory and Technology, Vol. 50, 2702-2712, 2002.
doi:10.1109/TMTT.2002.805197 Google Scholar

33. Li, P. and Y. Liu, "Multichannel filtering properties of photonic crystals consisting of single-negative materials," Physics Letters A, Vol. 373, 1870-1873, 2009.
doi:10.1016/j.physleta.2009.03.035 Google Scholar

34. Rahimi, H., "Backward Tamm states in 1D single-negative metamaterial photonic crystals," Progress In Electromagnetics Research Letters, Vol. 13, 149-159, 2010.
doi:10.2528/PIERL09121305 Google Scholar

35. Shi, L., S. Wang, C. Tang, and L. Gao, "Omnidirectional surface guided modes from one-dimensional photonic crystal formed by single-negative materials," Journal of Magnetism and Magnetic Materials, Vol. 311, 609-613, 2007.
doi:10.1016/j.jmmm.2006.08.020 Google Scholar

36. Chen, Y., Y. Wang, C. W. Leung, M. Hu, and H. L. W. Chan, "Photonic gap vanishing in one-dimensional photonic crystals with single-negative metamaterials," Physics Letters A, Vol. 375, 2465-2470, 2011.
doi:10.1016/j.physleta.2011.04.045 Google Scholar

37. Wang, L.-G., H. Chen, and S.-Y. Zhou, "Wave propagation inside one-dimensional photonic crystals with single-negative materials," Physics Letters A, Vol. 350, 410-415, 2006.
doi:10.1016/j.physleta.2005.10.070 Google Scholar

Prof. Chien-Jang Wu

Dr. Min-Hung Lee

Dr. Jun-Zhe Jian