Abstract

In this paper, we propose a one-dimensional ternary photonic crystal based on magnetized plasma to obtain nonreciprocal propagation. By employing the transfer matrix method, the transmission spectra of the counterpropagating plane waves incident from air upon either end of the periodic structure are calculated. Our results reveal that there is a significant contrast between the transmittance of the waves propagated in opposite directions. This means that the structure shows nonreciprocal effects. It is shown that the bandwidth at which nonreciprocity is observed depends on the external magnetic field. The effects of the incident angle and the number of elementary cells on the nonreciprocal behaviors are studied. We demonstrate that nonreciprocity disappears in very small angles of incidence. The designed structure shows nonreciprocal response even in the case of a small number of layers. It is also demonstrated that nonreciprocal effects become stronger when increasing the plasma density and the wavelength of the incident wave.

© 2014 Optical Society of America

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  1. E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987).
    [CrossRef]
  2. S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).
    [CrossRef]
  3. H. Hojo and A. Mase, “Dispersion relation of electromagnetic waves in one-dimensional plasma photonic crystals,” J. Plasma Fusion Res. 80, 89–90 (2004).
    [CrossRef]
  4. O. Sakai, T. Sakaguchi, and K. Tachibana, “Verification of a plasma photonic crystal for microwaves of millimeter wavelength range using two-dimensional array of columnar microplasmas,” Appl. Phys. Lett. 87, 241505 (2005).
    [CrossRef]
  5. O. Sakai, T. Sakaguchi, and K. Tachibana, “Photonic bands in two-dimensional microplasma arrays. I. Theoretical derivation of band structures of electromagnetic waves,” J. Appl. Phys. 101, 073304 (2007).
    [CrossRef]
  6. T. Naito, O. Sakai, and K. Tachibana, “Experimental verification of complex dispersion relation in lossy photonic crystals,” Appl. Phys. Express 1, 066003 (2008).
    [CrossRef]
  7. O. Sakai and K. Tachibana, “Properties of electromagnetic wave propagation emerging in 2-D periodic plasma structures,” IEEE Trans. Plasma Sci. 35, 1267–1273 (2007).
    [CrossRef]
  8. L. Qi and Z. Yang, “Modified plane wave method analysis of dielectric plasma photonic crystal,” Progress Electromagn. Res. 91, 319–332 (2009).
    [CrossRef]
  9. L. Qi, Z. Yang, L. Feng, X. Gao, and D. Li, “Dispersion characteristics of two-dimensional unmagnetized dielectric plasma photonic crystal,” Chin. Phys. B 19, 034210 (2010).
    [CrossRef]
  10. S. Liu, C. Gu, J. Zhou, and N. Yuan, “FDTD simulation for magnetized plasma photonic crystals,” Acta Phys. Sin. 55, 1283–1288 (2006).
  11. H. Zhang, L. Ma, and S. Liu, “Study of periodic band gap structure of the magnetized plasma photonic crystals,” Optoelectron. Lett. 5, 112–116 (2009).
    [CrossRef]
  12. L. Qi, Z. Yang, F. Lan, X. Gao, and Z. Shi, “Properties of obliquely incident electromagnetic wave in one-dimensional magnetized plasma photonic crystals,” Phys. Plasmas 17, 042501 (2010).
    [CrossRef]
  13. L. Qi and X. Zhang, “Band gap characteristics of plasma with periodically varying external magnetic field,” Solid State Commun. 151, 1838–1841 (2011).
    [CrossRef]
  14. A. K. Zvezdin and V. A. Kotov, Modern Magnetooptics and Magnetooptical Materials (IOP, 1997).
  15. R. J. Potton, “Reciprocity in optics,” Rep. Prog. Phys. 67, 717–754 (2004).
    [CrossRef]
  16. M. Inoue and T. Fujii, “A theoretical analysis of magneto-optical Faraday effect of YIG films with random multilayer structures,” J. Appl. Phys. 81, 5659–5661 (1997).
    [CrossRef]
  17. M. Inoue, K. Arai, T. Fujii, and M. Abe, “Magneto-optical properties of one-dimensional photonic crystals composed of magnetic and dielectric layers,” J. Appl. Phys. 83, 6768–6770 (1998).
    [CrossRef]
  18. S. Kahl and A. Grishin, “Enhanced Faraday rotation in all-garnet magneto-optical photonic crystal,” Appl. Phys. Lett. 84, 1438–1440 (2004).
    [CrossRef]
  19. E. Takeda, N. Todoroki, Y. Kitamoto, M. Abe, M. Inoue, T. Fujii, and K. Arai, “Faraday effect enhancement in Co–ferrite layer incorporated into one-dimensional photonic crystal working as a Fabry–Pérot resonator,” J. Appl. Phys. 87, 6782–6784 (2000).
    [CrossRef]
  20. A. Figotin and I. Vitebsky, “Nonreciprocal magnetic photonic crystals,” Phys. Rev. E 63, 066609 (2001).
    [CrossRef]
  21. A. Figotin and I. Vitebskiy, “Electromagnetic unidirectionality in magnetic photonic crystals,” Phys. Rev. B 67, 165210 (2003).
  22. A. B. Khanikaev and M. J. Steel, “Low-symmetry magnetic photonic crystals for nonreciprocal and unidirectional devices,” Opt. Express 17, 5265–5272 (2009).
    [CrossRef]
  23. Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100, 023902 (2008).
    [CrossRef]
  24. Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90, 121133 (2007).
    [CrossRef]
  25. V. Dmitriev, “Symmetry properties of 2D magnetic photonic crystals with square lattice,” Eur. Phys. J. Appl. Phys. 32, 159–165 (2005).
    [CrossRef]
  26. I. Vitebsky, J. Edelkind, E. Bogachek, and U. Landman, “Electronic energy spectra in antiferromagnetic media with broken reciprocity,” Phys. Rev. B 55, 12566–12571 (1997).
    [CrossRef]

2011 (1)

L. Qi and X. Zhang, “Band gap characteristics of plasma with periodically varying external magnetic field,” Solid State Commun. 151, 1838–1841 (2011).
[CrossRef]

2010 (2)

L. Qi, Z. Yang, L. Feng, X. Gao, and D. Li, “Dispersion characteristics of two-dimensional unmagnetized dielectric plasma photonic crystal,” Chin. Phys. B 19, 034210 (2010).
[CrossRef]

L. Qi, Z. Yang, F. Lan, X. Gao, and Z. Shi, “Properties of obliquely incident electromagnetic wave in one-dimensional magnetized plasma photonic crystals,” Phys. Plasmas 17, 042501 (2010).
[CrossRef]

2009 (3)

H. Zhang, L. Ma, and S. Liu, “Study of periodic band gap structure of the magnetized plasma photonic crystals,” Optoelectron. Lett. 5, 112–116 (2009).
[CrossRef]

L. Qi and Z. Yang, “Modified plane wave method analysis of dielectric plasma photonic crystal,” Progress Electromagn. Res. 91, 319–332 (2009).
[CrossRef]

A. B. Khanikaev and M. J. Steel, “Low-symmetry magnetic photonic crystals for nonreciprocal and unidirectional devices,” Opt. Express 17, 5265–5272 (2009).
[CrossRef]

2008 (2)

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100, 023902 (2008).
[CrossRef]

T. Naito, O. Sakai, and K. Tachibana, “Experimental verification of complex dispersion relation in lossy photonic crystals,” Appl. Phys. Express 1, 066003 (2008).
[CrossRef]

2007 (3)

O. Sakai and K. Tachibana, “Properties of electromagnetic wave propagation emerging in 2-D periodic plasma structures,” IEEE Trans. Plasma Sci. 35, 1267–1273 (2007).
[CrossRef]

O. Sakai, T. Sakaguchi, and K. Tachibana, “Photonic bands in two-dimensional microplasma arrays. I. Theoretical derivation of band structures of electromagnetic waves,” J. Appl. Phys. 101, 073304 (2007).
[CrossRef]

Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90, 121133 (2007).
[CrossRef]

2006 (1)

S. Liu, C. Gu, J. Zhou, and N. Yuan, “FDTD simulation for magnetized plasma photonic crystals,” Acta Phys. Sin. 55, 1283–1288 (2006).

2005 (2)

O. Sakai, T. Sakaguchi, and K. Tachibana, “Verification of a plasma photonic crystal for microwaves of millimeter wavelength range using two-dimensional array of columnar microplasmas,” Appl. Phys. Lett. 87, 241505 (2005).
[CrossRef]

V. Dmitriev, “Symmetry properties of 2D magnetic photonic crystals with square lattice,” Eur. Phys. J. Appl. Phys. 32, 159–165 (2005).
[CrossRef]

2004 (3)

H. Hojo and A. Mase, “Dispersion relation of electromagnetic waves in one-dimensional plasma photonic crystals,” J. Plasma Fusion Res. 80, 89–90 (2004).
[CrossRef]

R. J. Potton, “Reciprocity in optics,” Rep. Prog. Phys. 67, 717–754 (2004).
[CrossRef]

S. Kahl and A. Grishin, “Enhanced Faraday rotation in all-garnet magneto-optical photonic crystal,” Appl. Phys. Lett. 84, 1438–1440 (2004).
[CrossRef]

2003 (1)

A. Figotin and I. Vitebskiy, “Electromagnetic unidirectionality in magnetic photonic crystals,” Phys. Rev. B 67, 165210 (2003).

2001 (1)

A. Figotin and I. Vitebsky, “Nonreciprocal magnetic photonic crystals,” Phys. Rev. E 63, 066609 (2001).
[CrossRef]

2000 (1)

E. Takeda, N. Todoroki, Y. Kitamoto, M. Abe, M. Inoue, T. Fujii, and K. Arai, “Faraday effect enhancement in Co–ferrite layer incorporated into one-dimensional photonic crystal working as a Fabry–Pérot resonator,” J. Appl. Phys. 87, 6782–6784 (2000).
[CrossRef]

1998 (1)

M. Inoue, K. Arai, T. Fujii, and M. Abe, “Magneto-optical properties of one-dimensional photonic crystals composed of magnetic and dielectric layers,” J. Appl. Phys. 83, 6768–6770 (1998).
[CrossRef]

1997 (2)

I. Vitebsky, J. Edelkind, E. Bogachek, and U. Landman, “Electronic energy spectra in antiferromagnetic media with broken reciprocity,” Phys. Rev. B 55, 12566–12571 (1997).
[CrossRef]

M. Inoue and T. Fujii, “A theoretical analysis of magneto-optical Faraday effect of YIG films with random multilayer structures,” J. Appl. Phys. 81, 5659–5661 (1997).
[CrossRef]

1987 (2)

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987).
[CrossRef]

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).
[CrossRef]

Abe, M.

E. Takeda, N. Todoroki, Y. Kitamoto, M. Abe, M. Inoue, T. Fujii, and K. Arai, “Faraday effect enhancement in Co–ferrite layer incorporated into one-dimensional photonic crystal working as a Fabry–Pérot resonator,” J. Appl. Phys. 87, 6782–6784 (2000).
[CrossRef]

M. Inoue, K. Arai, T. Fujii, and M. Abe, “Magneto-optical properties of one-dimensional photonic crystals composed of magnetic and dielectric layers,” J. Appl. Phys. 83, 6768–6770 (1998).
[CrossRef]

Arai, K.

E. Takeda, N. Todoroki, Y. Kitamoto, M. Abe, M. Inoue, T. Fujii, and K. Arai, “Faraday effect enhancement in Co–ferrite layer incorporated into one-dimensional photonic crystal working as a Fabry–Pérot resonator,” J. Appl. Phys. 87, 6782–6784 (2000).
[CrossRef]

M. Inoue, K. Arai, T. Fujii, and M. Abe, “Magneto-optical properties of one-dimensional photonic crystals composed of magnetic and dielectric layers,” J. Appl. Phys. 83, 6768–6770 (1998).
[CrossRef]

Bogachek, E.

I. Vitebsky, J. Edelkind, E. Bogachek, and U. Landman, “Electronic energy spectra in antiferromagnetic media with broken reciprocity,” Phys. Rev. B 55, 12566–12571 (1997).
[CrossRef]

Dmitriev, V.

V. Dmitriev, “Symmetry properties of 2D magnetic photonic crystals with square lattice,” Eur. Phys. J. Appl. Phys. 32, 159–165 (2005).
[CrossRef]

Edelkind, J.

I. Vitebsky, J. Edelkind, E. Bogachek, and U. Landman, “Electronic energy spectra in antiferromagnetic media with broken reciprocity,” Phys. Rev. B 55, 12566–12571 (1997).
[CrossRef]

Fan, S.

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100, 023902 (2008).
[CrossRef]

Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90, 121133 (2007).
[CrossRef]

Feng, L.

L. Qi, Z. Yang, L. Feng, X. Gao, and D. Li, “Dispersion characteristics of two-dimensional unmagnetized dielectric plasma photonic crystal,” Chin. Phys. B 19, 034210 (2010).
[CrossRef]

Figotin, A.

A. Figotin and I. Vitebskiy, “Electromagnetic unidirectionality in magnetic photonic crystals,” Phys. Rev. B 67, 165210 (2003).

A. Figotin and I. Vitebsky, “Nonreciprocal magnetic photonic crystals,” Phys. Rev. E 63, 066609 (2001).
[CrossRef]

Fujii, T.

E. Takeda, N. Todoroki, Y. Kitamoto, M. Abe, M. Inoue, T. Fujii, and K. Arai, “Faraday effect enhancement in Co–ferrite layer incorporated into one-dimensional photonic crystal working as a Fabry–Pérot resonator,” J. Appl. Phys. 87, 6782–6784 (2000).
[CrossRef]

M. Inoue, K. Arai, T. Fujii, and M. Abe, “Magneto-optical properties of one-dimensional photonic crystals composed of magnetic and dielectric layers,” J. Appl. Phys. 83, 6768–6770 (1998).
[CrossRef]

M. Inoue and T. Fujii, “A theoretical analysis of magneto-optical Faraday effect of YIG films with random multilayer structures,” J. Appl. Phys. 81, 5659–5661 (1997).
[CrossRef]

Gao, X.

L. Qi, Z. Yang, L. Feng, X. Gao, and D. Li, “Dispersion characteristics of two-dimensional unmagnetized dielectric plasma photonic crystal,” Chin. Phys. B 19, 034210 (2010).
[CrossRef]

L. Qi, Z. Yang, F. Lan, X. Gao, and Z. Shi, “Properties of obliquely incident electromagnetic wave in one-dimensional magnetized plasma photonic crystals,” Phys. Plasmas 17, 042501 (2010).
[CrossRef]

Grishin, A.

S. Kahl and A. Grishin, “Enhanced Faraday rotation in all-garnet magneto-optical photonic crystal,” Appl. Phys. Lett. 84, 1438–1440 (2004).
[CrossRef]

Gu, C.

S. Liu, C. Gu, J. Zhou, and N. Yuan, “FDTD simulation for magnetized plasma photonic crystals,” Acta Phys. Sin. 55, 1283–1288 (2006).

Hojo, H.

H. Hojo and A. Mase, “Dispersion relation of electromagnetic waves in one-dimensional plasma photonic crystals,” J. Plasma Fusion Res. 80, 89–90 (2004).
[CrossRef]

Inoue, M.

E. Takeda, N. Todoroki, Y. Kitamoto, M. Abe, M. Inoue, T. Fujii, and K. Arai, “Faraday effect enhancement in Co–ferrite layer incorporated into one-dimensional photonic crystal working as a Fabry–Pérot resonator,” J. Appl. Phys. 87, 6782–6784 (2000).
[CrossRef]

M. Inoue, K. Arai, T. Fujii, and M. Abe, “Magneto-optical properties of one-dimensional photonic crystals composed of magnetic and dielectric layers,” J. Appl. Phys. 83, 6768–6770 (1998).
[CrossRef]

M. Inoue and T. Fujii, “A theoretical analysis of magneto-optical Faraday effect of YIG films with random multilayer structures,” J. Appl. Phys. 81, 5659–5661 (1997).
[CrossRef]

John, S.

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).
[CrossRef]

Kahl, S.

S. Kahl and A. Grishin, “Enhanced Faraday rotation in all-garnet magneto-optical photonic crystal,” Appl. Phys. Lett. 84, 1438–1440 (2004).
[CrossRef]

Khanikaev, A. B.

Kitamoto, Y.

E. Takeda, N. Todoroki, Y. Kitamoto, M. Abe, M. Inoue, T. Fujii, and K. Arai, “Faraday effect enhancement in Co–ferrite layer incorporated into one-dimensional photonic crystal working as a Fabry–Pérot resonator,” J. Appl. Phys. 87, 6782–6784 (2000).
[CrossRef]

Kotov, V. A.

A. K. Zvezdin and V. A. Kotov, Modern Magnetooptics and Magnetooptical Materials (IOP, 1997).

Lan, F.

L. Qi, Z. Yang, F. Lan, X. Gao, and Z. Shi, “Properties of obliquely incident electromagnetic wave in one-dimensional magnetized plasma photonic crystals,” Phys. Plasmas 17, 042501 (2010).
[CrossRef]

Landman, U.

I. Vitebsky, J. Edelkind, E. Bogachek, and U. Landman, “Electronic energy spectra in antiferromagnetic media with broken reciprocity,” Phys. Rev. B 55, 12566–12571 (1997).
[CrossRef]

Li, D.

L. Qi, Z. Yang, L. Feng, X. Gao, and D. Li, “Dispersion characteristics of two-dimensional unmagnetized dielectric plasma photonic crystal,” Chin. Phys. B 19, 034210 (2010).
[CrossRef]

Liu, S.

H. Zhang, L. Ma, and S. Liu, “Study of periodic band gap structure of the magnetized plasma photonic crystals,” Optoelectron. Lett. 5, 112–116 (2009).
[CrossRef]

S. Liu, C. Gu, J. Zhou, and N. Yuan, “FDTD simulation for magnetized plasma photonic crystals,” Acta Phys. Sin. 55, 1283–1288 (2006).

Ma, L.

H. Zhang, L. Ma, and S. Liu, “Study of periodic band gap structure of the magnetized plasma photonic crystals,” Optoelectron. Lett. 5, 112–116 (2009).
[CrossRef]

Mase, A.

H. Hojo and A. Mase, “Dispersion relation of electromagnetic waves in one-dimensional plasma photonic crystals,” J. Plasma Fusion Res. 80, 89–90 (2004).
[CrossRef]

Naito, T.

T. Naito, O. Sakai, and K. Tachibana, “Experimental verification of complex dispersion relation in lossy photonic crystals,” Appl. Phys. Express 1, 066003 (2008).
[CrossRef]

Potton, R. J.

R. J. Potton, “Reciprocity in optics,” Rep. Prog. Phys. 67, 717–754 (2004).
[CrossRef]

Qi, L.

L. Qi and X. Zhang, “Band gap characteristics of plasma with periodically varying external magnetic field,” Solid State Commun. 151, 1838–1841 (2011).
[CrossRef]

L. Qi, Z. Yang, F. Lan, X. Gao, and Z. Shi, “Properties of obliquely incident electromagnetic wave in one-dimensional magnetized plasma photonic crystals,” Phys. Plasmas 17, 042501 (2010).
[CrossRef]

L. Qi, Z. Yang, L. Feng, X. Gao, and D. Li, “Dispersion characteristics of two-dimensional unmagnetized dielectric plasma photonic crystal,” Chin. Phys. B 19, 034210 (2010).
[CrossRef]

L. Qi and Z. Yang, “Modified plane wave method analysis of dielectric plasma photonic crystal,” Progress Electromagn. Res. 91, 319–332 (2009).
[CrossRef]

Sakaguchi, T.

O. Sakai, T. Sakaguchi, and K. Tachibana, “Photonic bands in two-dimensional microplasma arrays. I. Theoretical derivation of band structures of electromagnetic waves,” J. Appl. Phys. 101, 073304 (2007).
[CrossRef]

O. Sakai, T. Sakaguchi, and K. Tachibana, “Verification of a plasma photonic crystal for microwaves of millimeter wavelength range using two-dimensional array of columnar microplasmas,” Appl. Phys. Lett. 87, 241505 (2005).
[CrossRef]

Sakai, O.

T. Naito, O. Sakai, and K. Tachibana, “Experimental verification of complex dispersion relation in lossy photonic crystals,” Appl. Phys. Express 1, 066003 (2008).
[CrossRef]

O. Sakai and K. Tachibana, “Properties of electromagnetic wave propagation emerging in 2-D periodic plasma structures,” IEEE Trans. Plasma Sci. 35, 1267–1273 (2007).
[CrossRef]

O. Sakai, T. Sakaguchi, and K. Tachibana, “Photonic bands in two-dimensional microplasma arrays. I. Theoretical derivation of band structures of electromagnetic waves,” J. Appl. Phys. 101, 073304 (2007).
[CrossRef]

O. Sakai, T. Sakaguchi, and K. Tachibana, “Verification of a plasma photonic crystal for microwaves of millimeter wavelength range using two-dimensional array of columnar microplasmas,” Appl. Phys. Lett. 87, 241505 (2005).
[CrossRef]

Shi, Z.

L. Qi, Z. Yang, F. Lan, X. Gao, and Z. Shi, “Properties of obliquely incident electromagnetic wave in one-dimensional magnetized plasma photonic crystals,” Phys. Plasmas 17, 042501 (2010).
[CrossRef]

Steel, M. J.

Tachibana, K.

T. Naito, O. Sakai, and K. Tachibana, “Experimental verification of complex dispersion relation in lossy photonic crystals,” Appl. Phys. Express 1, 066003 (2008).
[CrossRef]

O. Sakai and K. Tachibana, “Properties of electromagnetic wave propagation emerging in 2-D periodic plasma structures,” IEEE Trans. Plasma Sci. 35, 1267–1273 (2007).
[CrossRef]

O. Sakai, T. Sakaguchi, and K. Tachibana, “Photonic bands in two-dimensional microplasma arrays. I. Theoretical derivation of band structures of electromagnetic waves,” J. Appl. Phys. 101, 073304 (2007).
[CrossRef]

O. Sakai, T. Sakaguchi, and K. Tachibana, “Verification of a plasma photonic crystal for microwaves of millimeter wavelength range using two-dimensional array of columnar microplasmas,” Appl. Phys. Lett. 87, 241505 (2005).
[CrossRef]

Takeda, E.

E. Takeda, N. Todoroki, Y. Kitamoto, M. Abe, M. Inoue, T. Fujii, and K. Arai, “Faraday effect enhancement in Co–ferrite layer incorporated into one-dimensional photonic crystal working as a Fabry–Pérot resonator,” J. Appl. Phys. 87, 6782–6784 (2000).
[CrossRef]

Todoroki, N.

E. Takeda, N. Todoroki, Y. Kitamoto, M. Abe, M. Inoue, T. Fujii, and K. Arai, “Faraday effect enhancement in Co–ferrite layer incorporated into one-dimensional photonic crystal working as a Fabry–Pérot resonator,” J. Appl. Phys. 87, 6782–6784 (2000).
[CrossRef]

Veronis, G.

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100, 023902 (2008).
[CrossRef]

Vitebskiy, I.

A. Figotin and I. Vitebskiy, “Electromagnetic unidirectionality in magnetic photonic crystals,” Phys. Rev. B 67, 165210 (2003).

Vitebsky, I.

A. Figotin and I. Vitebsky, “Nonreciprocal magnetic photonic crystals,” Phys. Rev. E 63, 066609 (2001).
[CrossRef]

I. Vitebsky, J. Edelkind, E. Bogachek, and U. Landman, “Electronic energy spectra in antiferromagnetic media with broken reciprocity,” Phys. Rev. B 55, 12566–12571 (1997).
[CrossRef]

Wang, Z.

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100, 023902 (2008).
[CrossRef]

Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90, 121133 (2007).
[CrossRef]

Yablonovitch, E.

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987).
[CrossRef]

Yang, Z.

L. Qi, Z. Yang, L. Feng, X. Gao, and D. Li, “Dispersion characteristics of two-dimensional unmagnetized dielectric plasma photonic crystal,” Chin. Phys. B 19, 034210 (2010).
[CrossRef]

L. Qi, Z. Yang, F. Lan, X. Gao, and Z. Shi, “Properties of obliquely incident electromagnetic wave in one-dimensional magnetized plasma photonic crystals,” Phys. Plasmas 17, 042501 (2010).
[CrossRef]

L. Qi and Z. Yang, “Modified plane wave method analysis of dielectric plasma photonic crystal,” Progress Electromagn. Res. 91, 319–332 (2009).
[CrossRef]

Yu, Z.

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100, 023902 (2008).
[CrossRef]

Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90, 121133 (2007).
[CrossRef]

Yuan, N.

S. Liu, C. Gu, J. Zhou, and N. Yuan, “FDTD simulation for magnetized plasma photonic crystals,” Acta Phys. Sin. 55, 1283–1288 (2006).

Zhang, H.

H. Zhang, L. Ma, and S. Liu, “Study of periodic band gap structure of the magnetized plasma photonic crystals,” Optoelectron. Lett. 5, 112–116 (2009).
[CrossRef]

Zhang, X.

L. Qi and X. Zhang, “Band gap characteristics of plasma with periodically varying external magnetic field,” Solid State Commun. 151, 1838–1841 (2011).
[CrossRef]

Zhou, J.

S. Liu, C. Gu, J. Zhou, and N. Yuan, “FDTD simulation for magnetized plasma photonic crystals,” Acta Phys. Sin. 55, 1283–1288 (2006).

Zvezdin, A. K.

A. K. Zvezdin and V. A. Kotov, Modern Magnetooptics and Magnetooptical Materials (IOP, 1997).

Acta Phys. Sin. (1)

S. Liu, C. Gu, J. Zhou, and N. Yuan, “FDTD simulation for magnetized plasma photonic crystals,” Acta Phys. Sin. 55, 1283–1288 (2006).

Appl. Phys. Express (1)

T. Naito, O. Sakai, and K. Tachibana, “Experimental verification of complex dispersion relation in lossy photonic crystals,” Appl. Phys. Express 1, 066003 (2008).
[CrossRef]

Appl. Phys. Lett. (3)

O. Sakai, T. Sakaguchi, and K. Tachibana, “Verification of a plasma photonic crystal for microwaves of millimeter wavelength range using two-dimensional array of columnar microplasmas,” Appl. Phys. Lett. 87, 241505 (2005).
[CrossRef]

S. Kahl and A. Grishin, “Enhanced Faraday rotation in all-garnet magneto-optical photonic crystal,” Appl. Phys. Lett. 84, 1438–1440 (2004).
[CrossRef]

Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90, 121133 (2007).
[CrossRef]

Chin. Phys. B (1)

L. Qi, Z. Yang, L. Feng, X. Gao, and D. Li, “Dispersion characteristics of two-dimensional unmagnetized dielectric plasma photonic crystal,” Chin. Phys. B 19, 034210 (2010).
[CrossRef]

Eur. Phys. J. Appl. Phys. (1)

V. Dmitriev, “Symmetry properties of 2D magnetic photonic crystals with square lattice,” Eur. Phys. J. Appl. Phys. 32, 159–165 (2005).
[CrossRef]

IEEE Trans. Plasma Sci. (1)

O. Sakai and K. Tachibana, “Properties of electromagnetic wave propagation emerging in 2-D periodic plasma structures,” IEEE Trans. Plasma Sci. 35, 1267–1273 (2007).
[CrossRef]

J. Appl. Phys. (4)

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Figures (8)

Fig. 1.
Fig. 1.

Schematic view of the 1D ternary magnetized PPC.

Fig. 2.
Fig. 2.

Wave transmittance T as a function of ω in the frequency range 0.35×1011rad/s<ω<1.9×1011rad/s for the counterpropagating waves incident into either side of the 1D ternary magnetized PPCs, where (a) B=0.5 T, (b) B=1 T, and (c) B=1.5 T. (The green and black dashed lines indicate the plasma and cyclotron frequencies, respectively).

Fig. 3.
Fig. 3.

Wave transmittance T as a function of ω in the frequency range 1.9×1011rad/s<ω<3×1011rad/s for the counterpropagating waves incident into either side of the 1D ternary magnetized PPC, where (a) B=0.5 T, (b) B=1 T, and (c) B=1.5 T. (The black dashed line in (c) indicates the cyclotron frequency).

Fig. 4.
Fig. 4.

Differential transmittance as a function of ω for different values of the external magnetic field: (a) B=0.5 T, (b) B=1 T, and (c) B=1.5 T; (d) real part of εTM as a function of ω.

Fig. 5.
Fig. 5.

Transmission spectra for the counterpropagating waves incident into either side of the 1D ternary magnetized PPC are calculated at different incident angles (a) θ=70°, (b) 50°, (c) 35°, and (d) 5°.

Fig. 6.
Fig. 6.

Wave transmittance T as a function of ω for the counterpropagating waves incident into either side of the 1D ternary magnetized PPC of (a) 5 and (b) 10 cells, B=1.5 T, θ=70°.

Fig. 7.
Fig. 7.

Wave transmittance T as a function of ω for the counterpropagating waves incident into either side of the 1D ternary magnetized PPC: (a) for the case in which ne=5×1017m3, B=0.7 T, and θ=70° and (b) for the case in which ne=1016m3, B=0.7 T, and θ=70°.

Fig. 8.
Fig. 8.

Differential transmittance as a function ω where B=1.5 T, θ=70°, and the other parameters are the same as in Fig. 2.

Equations (7)

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εp=(ε1p0iε2p0ε3p0iε2p0ε1p),
ε1p=1ωp2(ω+iv)ω[(ω+iv)2ωc2],ε2p=ωp2ωcω[(ω+iv)2ωc2],ε3p=1ωp2ω(ω+iv),
εTM=ε1p2ε2p2ε1p=[ω(ω+iv)ωp2]2ωc2ω2ω2[(ω+iv)2ωc2]ωωp2(ω+iv).
Mp=(cos(kpzdp)+kpxε2pkpzε1psin(kpzdp)iηp[1+(kpxε2pkpzε1p)2]sin(kpzdp)iηpsin(kpzdp)cos(kpzdp)kpxε2pkpzε1psin(kpzdp)),
Mdi=(cos(kdziddi)iηdisin(kdziddi)iηdisin(kdziddi)cos(kdziddi)),
(Ex1Hy1)=M1M2M3.MN(ExN+1HyN+1)=M(ExN+1HyN+1),
t(ω)=2η0M11η0+M12η0ηN+1+M21+M22ηN+1,

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