Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-29T15:59:18.142Z Has data issue: false hasContentIssue false
  • English
  • Français

Magnetized plasma photonic crystals band gap

Published online by Cambridge University Press:  09 April 2014

Elahe Ataei ,
Mehdi Sharifian  and
Najmeh Zare Bidoki
Elahe Ataei
Affiliation:
Atomic & Molecular Group, Physics Department, Faculty of Science, Yazd University, Yazd 891995-741, Iran
Mehdi Sharifian*
Affiliation:
Atomic & Molecular Group, Physics Department, Faculty of Science, Yazd University, Yazd 891995-741, Iran
Najmeh Zare Bidoki
Affiliation:
Atomic & Molecular Group, Physics Department, Faculty of Science, Yazd University, Yazd 891995-741, Iran
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

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.

Type
Papers
Information
Journal of Plasma Physics , Volume 80 , Issue 4 , August 2014 , pp. 581 - 592
Copyright
Copyright © Cambridge University Press 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

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.Google Scholar
Bin, G. 2009 Transfer matrix for obliquely incident electromagnetic waves propagating in one dimension plasma photonic crystals. Plasma Sci. Technol. 11 (1), 18.Google Scholar
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.Google Scholar
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), 141–146.Google Scholar
Fu, T.et al. 2013 Dispersion properties of a 2D magnetized plasma metallic photonic crystal. Phys. Plasmas 20, 023109.CrossRefGoogle Scholar
Fukaya, T. and Tominaga, J. 2004 Slab lens with restrained light propagation in periodic multilayer. JOSA B 21 (7), 1280–1288.Google Scholar
Goncharov, A. A.et al. 1993 High-current plasma lens. IEEE Trans. Plasma Sci. 21 (5), 573–577.CrossRefGoogle Scholar
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.Google Scholar
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.Google Scholar
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.Google Scholar
Hojo, H. and Mase, A. 2004 Dispersion relation of electromagnetic waves in one-dimensional plasma photonic crystals. J. Plasma Fusion Res., 80 (2), 89–90.Google Scholar
Jiang, H.et al. 2003 Omnidirectional gap and defect mode of one-dimensional photonic crystals containing negative-index materials. Appl. Phys. Lett. 83 (26), 5386–5388.Google Scholar
John, S. 1987 Strong localization of photons in certain disordered dielectric superlattices. Phys. Rev. Lett. 58 (23), 2486–2489.Google Scholar
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.Google Scholar
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.CrossRefGoogle Scholar
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), 403–423.Google Scholar
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.Google Scholar
Liu, S.-B., Zhu, C.-X. and Yuan, N.-C. 2005 FDTD simulation for plasma photonic crystals. Acta Phys. Sin. 54 (6), 2804–2808.Google Scholar
Malkova, N.et al. 2003 Symmetrical analysis of complex two-dimensional hexagonal photonic crystals. Phys. Rev. B 67 (12), 125203.Google Scholar
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), 879–884.Google Scholar
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), 1520–1528.Google Scholar
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), 1279–1283.Google Scholar
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.Google Scholar
Qi, L. 2012 Photonic band structures of two-dimensional magnetized plasma photonic crystals. J. Appl. Phys. 111 (7), 073301-073301-8.Google Scholar
Qi, L. and Zhang, X. 2011 Band gap characteristics of plasma with periodically varying external magnetic field. Solid State Commun. 151 (23), 1838–1841.Google Scholar
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.Google Scholar
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.Google Scholar
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.Google Scholar
Sakoda, K. 2005 Optical Properties of Photonic Crystal. New York, NY: Springer.Google Scholar
Scalora, M.et al. 1997 Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures. Phys. Rev. A 56 (4), 3166.Google Scholar
Shiveshwari, L. and Mahto, P. 2006 Photonic band gap effect in one-dimensional plasma dielectric photonic crystals. Solid State Commun. 138 (3), 160–164.Google Scholar
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), 405–410.Google Scholar
Vidmar, R. J. 1990 On the use of atmospheric pressure plasmas as electromagnetic reflectors and absorbers. IEEE Trans. Plasma Sci. 18 (4), 733–741.Google Scholar
Yablonovitch, E. 1987 Inhibited spontaneous emission in solid-state physics and electronics. Phys. Rev. Lett. 58 (20), 2059–2062.CrossRefGoogle ScholarPubMed
Yin, Y.et al. 2009 Bandgap characteristics of one-dimensional plasma photonic crystal. Phys. Plasmas 16 (10), 102103–102105.Google Scholar
Yeh, P. 1988 Optical Waves in Layered Media. Vol. 95. Wiley Online Library.Google Scholar
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.Google Scholar
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.Google Scholar
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), 1694–1702.Google Scholar
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, 93–102.CrossRefGoogle Scholar
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), 112–116.Google Scholar
Zhang, H.-F.et al. 2012 Dispersion properties of two-dimensional plasma photonic crystals with periodically external magnetic field. Solid State Commun. 152 (14), 1221–1229.Google Scholar
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, 82–90.Google Scholar
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.Google Scholar
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.Google Scholar
Zheng, Q., Fu, Y. and Yuan, N. 2006 Characteristics of planar PBG structures with a cover layer. J. Electromagn. Waves Appl. 20 (11), 1439–1453.Google Scholar