Skip to main content Accessibility help
×
Home

Magnetized plasma photonic crystals band gap

  • Elahe Ataei (a1), Mehdi Sharifian (a1) and Najmeh Zare Bidoki (a1)

Abstract

In this paper, the effect of the magnetic field on one-dimensional plasma photonic crystal band gaps is studied. The one-dimensional fourfold plasma photonic crystal is applied that contains four periodic layers of different materials, namely plasma1–MgF2–plasma2–glass in one unit cell. Based on the principle of Kronig–Penney's model, dispersion relation for such a structure is obtained. The equations for effective dielectric functions of these two modes are theoretically deduced, and dispersion relations for transverse electric (TE) and transverse magnetic (TM) waves are calculated. At first, the main band gap width increases by applying the exterior magnetic field. Subsequently, the frequency region of this main band gap transfers completely toward higher frequencies. There is a particular upper limit for the magnitude of the magnetic field above which increasing the exterior magnetic field strength doesn't have any significant influence on the dispersion function behavior. (With an increase in incident angle up to θ1 = 66°, the width of photonic band gap (PBG) changes for both TM/TE polarization.) With an increase in incident angle up to θ1 = 66°, the width of PBG decreases for TM polarization and the width of PBG increases for TE polarization, but it increases with further increasing of the incident angle from θ1 = 66° to 89° for both TE- and TM-polarizations. Also, it has been observed that the width of the photonic band gaps changes rapidly by relative difference of the two-plasma frequency. Results show the existence of several photonic band gaps that their frequency and dispersion magnitude can be controlled by the exterior magnetic field, incident angle, and two plasma frequencies. The result of this research would provide theoretical instructions for designing filters, microcavities, fibers, etc.

Copyright

Corresponding author

Email address for correspondence: mehdi.sharifian@yazd.ac.ir

References

Hide All
Bendickson, J. M., Dowling, J. P. and Scalora, M. 1996 Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures. Phys. Rev. E 53 (4), 4107.
Bin, G. 2009 Transfer matrix for obliquely incident electromagnetic waves propagating in one dimension plasma photonic crystals. Plasma Sci. Technol. 11 (1), 18.
Bin, G., Li, P. and Xiaoming, Q. 2013 Tunability of one-dimensional plasma photonic crystals with an external magnetic field. Plasma Sci. Technol. 15 (7), 609.
Dwyer, T. J.et al. 1984 On the feasibility of using an atmospheric discharge plasma as RF antenna. IEEE Trans. Antenna Propag. AP-32 (2), 141146.
Fu, T.et al. 2013 Dispersion properties of a 2D magnetized plasma metallic photonic crystal. Phys. Plasmas 20, 023109.
Fukaya, T. and Tominaga, J. 2004 Slab lens with restrained light propagation in periodic multilayer. JOSA B 21 (7), 12801288.
Goncharov, A. A.et al. 1993 High-current plasma lens. IEEE Trans. Plasma Sci. 21 (5), 573577.
Guo, B. 2009 Photonic band gap structures of obliquely incident electromagnetic wave propagation in a one-dimension absorptive plasma photonic crystal. Phys. Plasmas 16 (4), 043 508.
Guo, B. and Wang, X. 2005 Power absorption of high-frequency electromagnetic waves in a partially ionized magnetized plasma. Phys. Plasmas 12 (8), 084506-4.
Hai-Feng, Z., Shao-Bin, L. and Xiang-Kun, K. 2011 Defect mode properties of two-dimensional unmagnetized plasma photonic crystals with line-defect under transverse magnetic mode. Acta Phys. Sin. 60 (2), 025215.
Hojo, H. and Mase, A. 2004 Dispersion relation of electromagnetic waves in one-dimensional plasma photonic crystals. J. Plasma Fusion Res., 80 (2), 8990.
Jiang, H.et al. 2003 Omnidirectional gap and defect mode of one-dimensional photonic crystals containing negative-index materials. Appl. Phys. Lett. 83 (26), 53865388.
John, S. 1987 Strong localization of photons in certain disordered dielectric superlattices. Phys. Rev. Lett. 58 (23), 24862489.
Li, Z.-Y., Gu, B.-Y. and Yang, G.-Z. 1998 Large absolute band gap in 2D anisotropic photonic crystals. Phys. Rev. Lett. 81 (12), 2574.
Li, Z.-Y., Wang, J. and Gu, B.-Y. 1998 Creation of partial band gaps in anisotropic photonic-band-gap structures. Phys. Rev. B 58 (7), 3721.
Liu, S., Hong, W. and Yuan, N. 2006 Finite-difference time-domain analysis of unmagnetized plasma photonic crystals. Int. J. Infrared Millim. Waves 27 (3), 403423.
Liu, S., Zhong, S. and Liu, S. 2009 A study of properties of the photonic band gap of unmagnetized plasma photonic crystal. Plasma Sci. Technol. 11 (1), 14.
Liu, S.-B., Zhu, C.-X. and Yuan, N.-C. 2005 FDTD simulation for plasma photonic crystals. Acta Phys. Sin. 54 (6), 28042808.
Malkova, N.et al. 2003 Symmetrical analysis of complex two-dimensional hexagonal photonic crystals. Phys. Rev. B 67 (12), 125203.
Naumov, A. and Zheltikov, A. 2001 Ternary one-dimensional photonic band-gap structures: dispersion relation, extended phase-matching abilities, and attosecond outlook. Laser Phys. 11 (7), 879884.
Prasad, S., Singh, V. and Singh, A. K. 2010 Modal propagation characteristics of EM waves in ternary one-dimensional plasma photonic crystals. Optik – Int. J. Light Electron. Opt. 121 (16), 15201528.
Prasad, S., Singh, V. and Singh, A. K. 2011 A comparative study of dispersion relation of EM waves in ternary one-dimensional plasma photonic crystals having two different structures. Optik – Int. J. Light Electron. Opt. 122 (14), 12791283.
Prasad, S., Singh, V. and Singh, A. K. 2012 Properties of ternary one dimensional plasma photomic crystals for an obliquely incident electromagnetic wave considering the effect of collisions in plasma layers. Plasma Sci. Technol. 14 (12), 1084.
Qi, L. 2012 Photonic band structures of two-dimensional magnetized plasma photonic crystals. J. Appl. Phys. 111 (7), 073301-073301-8.
Qi, L. and Zhang, X. 2011 Band gap characteristics of plasma with periodically varying external magnetic field. Solid State Commun. 151 (23), 18381841.
Qi, L.et al. 2010 Properties of obliquely incident electromagnetic wave in one-dimensional magnetized plasma photonic crystals. Phys. Plasmas 17 (4), p. 042501-8.
Sakai, O., Sakaguchi, T. and Tachibana, K. 2005 Verification of a plasma photonic crystal for microwaves of millimeter wavelength range using two-dimensional array of columnar microplasmas. Appl. Phys. Lett. 87 (24), 241505-241505-3.
Sakai, O., Sakaguchi, T. and Tachibana, K. 2007 Photonic bands in two-dimensional microplasma arrays. I. Theoretical derivation of band structures of electromagnetic waves. J. Appl. Phys. 101 (7), 073304-9.
Sakoda, K. 2005 Optical Properties of Photonic Crystal. New York, NY: Springer.
Scalora, M.et al. 1997 Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures. Phys. Rev. A 56 (4), 3166.
Shiveshwari, L. and Mahto, P. 2006 Photonic band gap effect in one-dimensional plasma dielectric photonic crystals. Solid State Commun. 138 (3), 160164.
Tang, D. L., Sun, A. P., Qiu, X. M. and Chu, P. K. 2003 Interaction of electromagnetic waves with a magnetized nonuniform plasma slab. IEEE Trans. Plasma Sci. 31 (3), 405410.
Vidmar, R. J. 1990 On the use of atmospheric pressure plasmas as electromagnetic reflectors and absorbers. IEEE Trans. Plasma Sci. 18 (4), 733741.
Yablonovitch, E. 1987 Inhibited spontaneous emission in solid-state physics and electronics. Phys. Rev. Lett. 58 (20), 20592062.
Yin, Y.et al. 2009 Bandgap characteristics of one-dimensional plasma photonic crystal. Phys. Plasmas 16 (10), 102103102105.
Yeh, P. 1988 Optical Waves in Layered Media. Vol. 95. Wiley Online Library.
Zhang, H., Kong, X. and Liu, S. 2011 Analysis of the properties of tunable prohibited band gaps for two-dimensional unmagnetized plasma photonic crystals under TM mode. Acta Phys. Sin. 60, 055209.
Zhang, H.-F., Liu, S.-B. and Kong, X.-K. 2012 Photonic band gaps in one-dimensional magnetized plasma photonic crystals with arbitrary magnetic declination. Phys. Plasmas 19 (12), 122103–13.
Zhang, H.-F., Liu, S.-B. and Kong, X.-K. 2013a Dispersion properties of three-dimensional plasma photonic crystals in diamond lattice arrangement. J. Lightwave Technol. 31 (11), 16941702.
Zhang, H.-F., Liu, S.-B. and Li, B.-X. 2013b The properties of photonic band gaps for three-dimensional tunable photonic crystals with simple-cubic lattices doped by magnetized plasma. Opt. Laser Technol. 50, 93102.
Zhang, H.-F., Ma, L. and Liu, S.-B. 2009 Study of periodic band gap structure of the magnetized plasma photonic crystals. Optoelectron. Lett. 5 (2), 112116.
Zhang, H.-F.et al. 2012 Dispersion properties of two-dimensional plasma photonic crystals with periodically external magnetic field. Solid State Commun. 152 (14), 12211229.
Zhang, H.-F.et al. 2012 The characteristics of photonic band gaps for three-dimensional unmagnetized dielectric plasma photonic crystals with simple-cubic lattice. Opt. Commun. 288, 8290.
Zhang, H.-F.et al. 2013c The properties of photonic band gaps for three-dimensional plasma photonic crystals in a diamond structure. Phys. Plasmas 20, 042110.
Zhang, H.-F.et al. 2013d Analysis of photonic band gap in dispersive properties of tunable three-dimensional photonic crystals doped by magnetized plasma. Phys. Plasmas 20, 032118.
Zheng, Q., Fu, Y. and Yuan, N. 2006 Characteristics of planar PBG structures with a cover layer. J. Electromagn. Waves Appl. 20 (11), 14391453.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

Related content

Powered by UNSILO

Magnetized plasma photonic crystals band gap

  • Elahe Ataei (a1), Mehdi Sharifian (a1) and Najmeh Zare Bidoki (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.