Abstract

Dispersion properties of two types of three-dimensional plasma photonic crystals are theoretically investigated by a modified plane wave expansion method, which is composed of isotropic dielectric and nomagnetized plasma. The eigenvalue equations of two types of structures depend on the diamond lattice realization (dielectric spheres inserted in plasma background or vice versa), are deduced respectively. The band structures can be obtained by solving the nonlinear eigenvalue equations. The influences of relative dielectric constant and plasma frequency with different filling factors on dispersive relation are demonstrated, respectively. The numerical results show that the band structures can be modulated by the parameters for the two types of plasma photonic crystals.

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  41. Y. L. Li, Q. Z. Xue, C. H. Du, "Two-dimensional metallic photonic crystals with point defect analysis using modified finite-difference frequency-domain method,," J. Lightw. Technol. 28, 216-221 (2010).
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  48. M. Lou, Q. H. Liu, Z. Li, "Spectral element method for band structures of three-dimensional anisotropic photonic crystals," Phys. Rev. E 80, (2012) Art. ID 056702.
  49. V. Kuzmiak, A. A. Maradudin, "Photonic band structure of one-and two-dimensional periodic systems withmetallic components in the presence of dissipation," Phy. Rev. B 55, 7427-7444 (1997).
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2012

H. C. Hung, C. J. Wu, T. J. Yang, S. J. Chang, "Tunable multichannel filter in a photonic crystal containing semiconductor photonic quantum well," IEEE Photon. J. 4, 283-290 (2012).

J. K. Klos, M. L. Sokolovskyy, M. Krawczyk, "The impact of the lattice symmetry and the inclusion shape on the spectrum of 2-D magnonic crystals," J. Appl. Phys. 111, (2012) Art. ID 123910.

H. F. Zhang, S. B. Liu, X. K. Kong, B. R. Bian, Y. N. Guo, "Dispersion properties of two-dimensioanl plasma photonic crystals with periodically external magnetic field," Solid State Commun. 152, 1221-1229 (2012).

H. F. Zhang, S. B. Liu, X. K. Kong, B. R. Bian, X. Zhao, "Properties of omnidirectional photonic band gaps in Fibonacci quasi-periodic one-dimensional superconductor photonic crystals," Progr. Electromgan. Res. B 40, 415-431 (2012).

H. F. Zhang, S. B. Liu, X. K. Kong, L. Zou, C. Z. Li, W. S. Qing, "Enhancement of omnidirectional photonic band gaps in one-dimensional dielectric plasma photonic crystals with a matching layer," Phys. Plasma 19, (2012) Art. ID 022103.

L. Qi, "Photonic band structures of two-dimensional magnetized plasma photonic crystals," J. Appl. Phys. 111, (2012) Art. ID 073301.

M. Lou, Q. H. Liu, Z. Li, "Spectral element method for band structures of three-dimensional anisotropic photonic crystals," Phys. Rev. E 80, (2012) Art. ID 056702.

2011

H. F. Zhang, S. B. Liu, X. K. Kong, L. Zhou, C. Z. Li, B. R. Bo, "Comment on “Photonic bands in two-dimensional microplasma array. I. Theoretical derivation of band structures of electromagnetic wave” [J. Appl. Phys. 101, 073304 (2007)]," J. Appl. Phys. 110, (2011) Art. ID 026104.

X. K. Kong, S. B. Liu, H. F. Zhang, L. Zhou, C. Z. Li, "Band structure calculations for two-dimensional plasma photonic crystals in honeycomb lattice arrangement," J. Lightw. Technol. 19, 2947-2953 (2011).

H. F. Zhang, X. K. Kong, S. B. Liu, "Analsys of the properties of tunable prohibited band gaps for two-dimensional unmagnetized plasma photonic crystals under TM mode," Acta Phys. Sin 60, (2011) 055209.

H. F. Zhang, S. B. Liu, X. K. Kong, "Defect mode properties of two-dimensional unmagnetized plasma photonic crystals with line-defect under transverse magnetic mode," Acta Phys. Sin 60, (2011) Art. ID 025215.

L. Shiverhwari, "Zero permittivity band characteristics in one-dimensional plasma dielectric photonic crystals," Optic-Int. J. Light Electron Optic 122, 1523-1526 (2011).

2010

L. Qi, Z. Q. Yang, F. Lan, X. Gao, D. Z. Li, "Dispersion characteristics of two-dimensional unmagnetized dielectric plasma photonic crystals," Chinese Phys. B 19, 034210-03410 (2010).

W. H. Lin, C. J. Wu, T. J. Yang, S. J. Chang, "Terahertz mutichanneled filter in a superconducting photonic crystals," Opt. Exp. 18, 27155-27166 (2010).

L. Qi, Z. Yang, F. Lan, X. Gao, Z. Shi, "Properties of obliquely incident electromagnetic wave in one-dimensional magnetzed plasma photonic crystals," Phys. Plasma. 17, (2010) Art. ID 042501.

X. K. Kong, S. B. Liu, H. F. Zhang, C. Z. Li, "A novel tunable filter featuring defect mode of the TE wave from one-dimensional photonic crystals doped by magnetized plasma," Phys. Plasma. 17, (2010) Art. ID 103506.

Y. L. Li, Q. Z. Xue, C. H. Du, "Two-dimensional metallic photonic crystals with point defect analysis using modified finite-difference frequency-domain method,," J. Lightw. Technol. 28, 216-221 (2010).

M. Lou, Q. H. Liu, "Three-dimensional dispersive metallic photonic crystals with a bandgap and a high cutoff frequency," J. Opt. Soc. Amer. A 27, 1878-1884 (2010).

2009

M. Lou, Q. H. Liu, "Accurate determination of band structures of two-dimensional dispersive anisotropic photonic crystals by the spectral element method," J. Opt. Soc. Amer. A 26, 1598-1605 (2009).

L. Qi, Z. Yang, "Modified plane wave method analysis of dielectric plasma photonic crystal," Progr. Electromagn. Res. 91, 319-332 (2009).

B. Guo, "Photonic bandgap structures of obliquely incident electromagnetic wave propagation in a one-dimension absorptive plasma photonic crystal," Phys. Plasma 16, (2009) Art. ID 043508.

H. F. Zhang, M. Li, S. B. Liu, "Study of periodic bandgap structure of the magnetized plasma photonic crystals," Optoelectr. Lett. 5, 112-116 (2009).

H. F. Zhang, M. Li, S. B. Liu, "Defect mode properties of magnetized plasma photonic crystals," Acta. Phys. Sin. 58, 1071-1076 (2009).

2008

S. P. Ojha, K. B. Thapa, S. K. Singh, "Superluminal propagation in plasma photonic bandgap materials," Op. Int. J. Light Electron Opt. 119, 81-85 (2008).

T. Natio, O. Sakai, K. Tachibana, "Experimental verification of complex dispersion relation in lossy photonic crystals," Appl. Phys. Exp. 1, (2008) Art. ID 066003.

2007

T. Sakaguchi, O. Sakai, K. Tachibana, "Photonic bands in two-dimensional mircoplasma array II. Band gaps observed in millimeter and sub-terahertz ranges," J. Appl. Phys. 101, (2007) Art. ID 073305.

O. Sakai, T. Sakaguchi, K. Tachibana, "Photonic bands in two-dimensional mircoplasma array I. Theoretical derivation of band structure of electromagnetic waves," J. Appl. Phys. 101, (2007) Art. ID 073304.

2006

L. Shiveshwari, P. Mahto, "Photonic bandgap effect in one-dimensional plasma dielectric photonic crystals," Solid State Commun. 138, 160-164 (2006).

2005

O. Sakai, Y. Kishimoto, K. Yachibana, "Integrated coaxial-hollow miro dielectric_barrier-discharges for a large-area plasma source operating at around atmospheric pressure," J. Phys. D: Appl. Phys 38, 431-441 (2005).

2004

H. Hojo, A. Mase, "Dispersion relation of electromagnetic waves in one dimensional plasma photonic crystals," Plasma Fusion Res. 80, 89-90 (2004).

N. N. Lepeshkin, A. Schweinsberg, G. Piredda, R. S. Bennink, R. W. Boyd, "Enhanced nonlinear optical response of one-dimensional metal-dielectric photonic crystals," Phys. Rev. Lett. 93, (2004) Art. ID 123902.

2003

H. Takeda, K. Yoshino, "Tunable photonic band schemes in two-dimensional photonic crystals composed of copper oxide high-temperature supercomductors," Phys. Rev. B. 67, (2003) Art. ID 245109.

Z. Li, L. Lin, "Photonic band structures solved by a plane-wave-based transfer-matrix method," Phys. Rev. E 67, (2003) Art. ID 056702.

P. Chiang, C. Yu, H. Chang, "Analysis of two-dimensional photonic crystals using a mutildomain pseudospectral method," Phys. Rev. E 75, (2003) Art. ID 026703.

2001

F. Garcia-Santamaria, C. Lopez, F. Meseguer, F. Lopez-Tejeira, J. Sanchez-Dehesa, H. T. Miyazaki, "Optal-like photonic crystal with diamond lattice," Appl. Phys. Lett. 15, 2309-2311 (2001).

2000

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, J. D. Joannopoulos, "An all-dielectric coaxial waveguide," Science 289, 415-419 (2000).

I. El-Kady, M. M. Sigalas, R. Biswas, K. M. Ho, C. M. Soukoulis, "Metallic photonic crystals at optical wavelengths," Phys. Rev. B. 62, 15299-1530 (2000).

1999

M. Inoue, K. Arai, T. Fujii, M. Abe, "One-dimensional magnetophotonic crystals," J. Appl. Phys. 85, (1999) Art. ID 6768.

J. Yonekura, M. Ikeda, T. Baba, "Analysis of finite 2-D photonic crystals of columns and lightwave devices using the scattering matrix method," J. Lightw. Technol. 17, 1500-1508 (1999).

J. Yuan, Y. Y. Lu, "Scattering from periodic arrays of cylinders by Dirichlet-to-Neumann maps," J. Lightw. Technol. 17, 3448-3453 (1999).

1998

V. Kuzmiak, A. A. Maradudin, "Distribution of electromagnetic field and group velocities in two-dimensional periodic systems with dissipative metallic components," Phy. Rev. B 58, 7230-7251 (1998).

Z. Y. Li, J. Wang, B. Y. Gu, "Creation of partial gaps in anisotropic photonic-band-gap structures," Phy. Rev. B 58, 3721-3729 (1998).

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A dielectric omnidirectional reflector,," Science 282, 1679-1682 (1998).

M. Inoue, K. Arai, T. Fujii, M. Abe, "Magneto-optical properties of one-dimensional photonic crystals composed of magnetic and dielectric layers," J. Appl. Phys. 83, (1998) Art. ID 6768.

D. F. Sievenpiper, E. Yablonovitch, "3D metallo-dielectric photonic crystals with strong capacitive coupling between metallic islands," Phys. Rev. Lett. 80, 2829-2832 (1998).

1997

H. Y. D. Yang, N. G. Alexopoulos, E. Yablonovitch, "Photonic bandgap materials for high-gain printed circuit antennas," IEEE Trans. Antennas Propag. 45, 185-187 (1997).

J. D. Joannopoulos, P. R. Villeneuve, S. Fan, "Photonic crystals: Putting a new twist on light," Nature 386, 143-149 (1997).

V. Kuzmiak, A. A. Maradudin, "Photonic band structure of one-and two-dimensional periodic systems withmetallic components in the presence of dissipation," Phy. Rev. B 55, 7427-7444 (1997).

1996

S. Fan, P. R. Villrneuve, J. D. Joannopoulos, "Large omnidirectional band gaps in metallodielectric photonic crystals," Phys. Rev. B 54, 11245-11251 (1996).

1991

E. Yablonovitch, T. J. Gmitter, "Photnic band structure: The face-centered-cubic case employing nonspherical atoms," Phys. Rev. Lett. 67, 2295-2298 (1991).

1990

K. M. Leung, Y. F. Liu, "Full vector wave calculation of photonic band structures in face-centered-cubic dielectric media," Phys. Rev. Lett. 65, 2646-2649 (1990).

Z. Zhang, S. Satpath, "Electromagnetic wave propagation in periodic structures: Bloch wave solution of Maxwell's equations," Phys. Rev. Lett. 65, 2650-2653 (1990).

1987

E. Yablonovitch, "Inhibited spontaneous emission of photons in solidstate physics and electronies," Phys. Rev. Lett. 58, 2059-2061 (1987).

S. John, "Strong localization of photons in certain disorder ed dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).

Acta Phys. Sin

H. F. Zhang, X. K. Kong, S. B. Liu, "Analsys of the properties of tunable prohibited band gaps for two-dimensional unmagnetized plasma photonic crystals under TM mode," Acta Phys. Sin 60, (2011) 055209.

H. F. Zhang, S. B. Liu, X. K. Kong, "Defect mode properties of two-dimensional unmagnetized plasma photonic crystals with line-defect under transverse magnetic mode," Acta Phys. Sin 60, (2011) Art. ID 025215.

Acta. Phys. Sin.

H. F. Zhang, M. Li, S. B. Liu, "Defect mode properties of magnetized plasma photonic crystals," Acta. Phys. Sin. 58, 1071-1076 (2009).

Appl. Phys. Exp.

T. Natio, O. Sakai, K. Tachibana, "Experimental verification of complex dispersion relation in lossy photonic crystals," Appl. Phys. Exp. 1, (2008) Art. ID 066003.

Appl. Phys. Lett.

F. Garcia-Santamaria, C. Lopez, F. Meseguer, F. Lopez-Tejeira, J. Sanchez-Dehesa, H. T. Miyazaki, "Optal-like photonic crystal with diamond lattice," Appl. Phys. Lett. 15, 2309-2311 (2001).

Chinese Phys. B

L. Qi, Z. Q. Yang, F. Lan, X. Gao, D. Z. Li, "Dispersion characteristics of two-dimensional unmagnetized dielectric plasma photonic crystals," Chinese Phys. B 19, 034210-03410 (2010).

IEEE Trans. Antennas Propag.

H. Y. D. Yang, N. G. Alexopoulos, E. Yablonovitch, "Photonic bandgap materials for high-gain printed circuit antennas," IEEE Trans. Antennas Propag. 45, 185-187 (1997).

IEEE Photon. J.

H. C. Hung, C. J. Wu, T. J. Yang, S. J. Chang, "Tunable multichannel filter in a photonic crystal containing semiconductor photonic quantum well," IEEE Photon. J. 4, 283-290 (2012).

J. Appl. Phys.

M. Inoue, K. Arai, T. Fujii, M. Abe, "Magneto-optical properties of one-dimensional photonic crystals composed of magnetic and dielectric layers," J. Appl. Phys. 83, (1998) Art. ID 6768.

L. Qi, "Photonic band structures of two-dimensional magnetized plasma photonic crystals," J. Appl. Phys. 111, (2012) Art. ID 073301.

J. Lightw. Technol.

J. Yonekura, M. Ikeda, T. Baba, "Analysis of finite 2-D photonic crystals of columns and lightwave devices using the scattering matrix method," J. Lightw. Technol. 17, 1500-1508 (1999).

X. K. Kong, S. B. Liu, H. F. Zhang, L. Zhou, C. Z. Li, "Band structure calculations for two-dimensional plasma photonic crystals in honeycomb lattice arrangement," J. Lightw. Technol. 19, 2947-2953 (2011).

J. Appl. Phys.

H. F. Zhang, S. B. Liu, X. K. Kong, L. Zhou, C. Z. Li, B. R. Bo, "Comment on “Photonic bands in two-dimensional microplasma array. I. Theoretical derivation of band structures of electromagnetic wave” [J. Appl. Phys. 101, 073304 (2007)]," J. Appl. Phys. 110, (2011) Art. ID 026104.

J. Appl. Phys.

M. Inoue, K. Arai, T. Fujii, M. Abe, "One-dimensional magnetophotonic crystals," J. Appl. Phys. 85, (1999) Art. ID 6768.

J. K. Klos, M. L. Sokolovskyy, M. Krawczyk, "The impact of the lattice symmetry and the inclusion shape on the spectrum of 2-D magnonic crystals," J. Appl. Phys. 111, (2012) Art. ID 123910.

T. Sakaguchi, O. Sakai, K. Tachibana, "Photonic bands in two-dimensional mircoplasma array II. Band gaps observed in millimeter and sub-terahertz ranges," J. Appl. Phys. 101, (2007) Art. ID 073305.

O. Sakai, T. Sakaguchi, K. Tachibana, "Photonic bands in two-dimensional mircoplasma array I. Theoretical derivation of band structure of electromagnetic waves," J. Appl. Phys. 101, (2007) Art. ID 073304.

J. Lightw. Technol.

J. Yuan, Y. Y. Lu, "Scattering from periodic arrays of cylinders by Dirichlet-to-Neumann maps," J. Lightw. Technol. 17, 3448-3453 (1999).

Y. L. Li, Q. Z. Xue, C. H. Du, "Two-dimensional metallic photonic crystals with point defect analysis using modified finite-difference frequency-domain method,," J. Lightw. Technol. 28, 216-221 (2010).

J. Opt. Soc. Amer. A

M. Lou, Q. H. Liu, "Accurate determination of band structures of two-dimensional dispersive anisotropic photonic crystals by the spectral element method," J. Opt. Soc. Amer. A 26, 1598-1605 (2009).

J. Opt. Soc. Amer. A

M. Lou, Q. H. Liu, "Three-dimensional dispersive metallic photonic crystals with a bandgap and a high cutoff frequency," J. Opt. Soc. Amer. A 27, 1878-1884 (2010).

J. Phys. D: Appl. Phys

O. Sakai, Y. Kishimoto, K. Yachibana, "Integrated coaxial-hollow miro dielectric_barrier-discharges for a large-area plasma source operating at around atmospheric pressure," J. Phys. D: Appl. Phys 38, 431-441 (2005).

Nature

J. D. Joannopoulos, P. R. Villeneuve, S. Fan, "Photonic crystals: Putting a new twist on light," Nature 386, 143-149 (1997).

Op. Int. J. Light Electron Opt.

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Opt. Int. J. Light Electron. Opt.

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