Abstract

We examine manipulating electromagnetic waves in magnetic photonic crystals (MPCs) with external magnetic fields. We predict new giant magnetoreflectivity and giant magnetorefractivity effects: with an external magnetic field of a magnitude much smaller than the anisotropy field of the ferromagnet, the MPC can be changed from completely reflecting to nonreflecting with corresponding changes in the angle of refraction. Application to the storage of electromagnetic radiation is also discussed.

© 2007 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef]
  3. D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
    [CrossRef] [PubMed]
  4. Z. Liu, Z. Dutton, C. H. Behroozi, and L. Hau, Nature 409, 490 (2001).
    [CrossRef] [PubMed]
  5. A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
    [CrossRef] [PubMed]
  6. E. J. Reed, M. Soljacic, and J. D. Joannopoulos, Phys. Rev. Lett. 90, 203904 (2003).
    [CrossRef] [PubMed]
  7. C. Kee, J. Kim, H. Y. Park, I. Parl, and H. Lim, Phys. Rev. B 61, 15523 (2000).
    [CrossRef]
  8. C. Xu, X. Hu, Y. Li, X. Liu, R. Fu, and J. Zi, Phys. Rev. B 68, 193201 (2003).
    [CrossRef]
  9. I. L. Lyubchanskii, N. N. Dadoenkova1, M. I. Lyubchanskii1, E. A. Shapovalov, and Th. Rasing, J. Phys. D 36, R277 (2003).
    [CrossRef]
  10. M. Notomi, Phys. Rev. B 62, 10696 (2000).
    [CrossRef]
  11. C. P. Slichter, Principle of Magnetic Resonance (Springer-Verlag, 1978).
  12. D. M. Pozar, Microwave Engineering, 3rd ed (Wiley, 2005).
  13. H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1987).
  14. K. M. Leung and Y. Qiu, Phys. Rev. B 48, 7767 (1993).
    [CrossRef]
  15. V. Heine, Phys. Rev. 153, 673 (1967).
    [CrossRef]
  16. L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
    [CrossRef]

2003 (3)

C. Xu, X. Hu, Y. Li, X. Liu, R. Fu, and J. Zi, Phys. Rev. B 68, 193201 (2003).
[CrossRef]

I. L. Lyubchanskii, N. N. Dadoenkova1, M. I. Lyubchanskii1, E. A. Shapovalov, and Th. Rasing, J. Phys. D 36, R277 (2003).
[CrossRef]

E. J. Reed, M. Soljacic, and J. D. Joannopoulos, Phys. Rev. Lett. 90, 203904 (2003).
[CrossRef] [PubMed]

2002 (1)

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

2001 (3)

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 79 (2001).
[CrossRef]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Z. Liu, Z. Dutton, C. H. Behroozi, and L. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

2000 (3)

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

M. Notomi, Phys. Rev. B 62, 10696 (2000).
[CrossRef]

C. Kee, J. Kim, H. Y. Park, I. Parl, and H. Lim, Phys. Rev. B 61, 15523 (2000).
[CrossRef]

1999 (1)

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

1993 (1)

K. M. Leung and Y. Qiu, Phys. Rev. B 48, 7767 (1993).
[CrossRef]

1967 (1)

V. Heine, Phys. Rev. 153, 673 (1967).
[CrossRef]

Behroozi, C. H.

Z. Liu, Z. Dutton, C. H. Behroozi, and L. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Dadoenkova1, N. N.

I. L. Lyubchanskii, N. N. Dadoenkova1, M. I. Lyubchanskii1, E. A. Shapovalov, and Th. Rasing, J. Phys. D 36, R277 (2003).
[CrossRef]

Dutton, Z.

Z. Liu, Z. Dutton, C. H. Behroozi, and L. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Fleischhauer, A.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Fu, R.

C. Xu, X. Hu, Y. Li, X. Liu, R. Fu, and J. Zi, Phys. Rev. B 68, 193201 (2003).
[CrossRef]

Ham, B. S.

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

Harris, S. E.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Hau, L.

Z. Liu, Z. Dutton, C. H. Behroozi, and L. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

Hau, L. V.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Heine, V.

V. Heine, Phys. Rev. 153, 673 (1967).
[CrossRef]

Hemmer, P. R.

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

Hu, X.

C. Xu, X. Hu, Y. Li, X. Liu, R. Fu, and J. Zi, Phys. Rev. B 68, 193201 (2003).
[CrossRef]

Joannopoulos, J. D.

E. J. Reed, M. Soljacic, and J. D. Joannopoulos, Phys. Rev. Lett. 90, 203904 (2003).
[CrossRef] [PubMed]

Kee, C.

C. Kee, J. Kim, H. Y. Park, I. Parl, and H. Lim, Phys. Rev. B 61, 15523 (2000).
[CrossRef]

Kim, J.

C. Kee, J. Kim, H. Y. Park, I. Parl, and H. Lim, Phys. Rev. B 61, 15523 (2000).
[CrossRef]

Leung, K. M.

K. M. Leung and Y. Qiu, Phys. Rev. B 48, 7767 (1993).
[CrossRef]

Li, Y.

C. Xu, X. Hu, Y. Li, X. Liu, R. Fu, and J. Zi, Phys. Rev. B 68, 193201 (2003).
[CrossRef]

Lim, H.

C. Kee, J. Kim, H. Y. Park, I. Parl, and H. Lim, Phys. Rev. B 61, 15523 (2000).
[CrossRef]

Liu, X.

C. Xu, X. Hu, Y. Li, X. Liu, R. Fu, and J. Zi, Phys. Rev. B 68, 193201 (2003).
[CrossRef]

Liu, Z.

Z. Liu, Z. Dutton, C. H. Behroozi, and L. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

Lukin, M. D.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Lyubchanskii, I. L.

I. L. Lyubchanskii, N. N. Dadoenkova1, M. I. Lyubchanskii1, E. A. Shapovalov, and Th. Rasing, J. Phys. D 36, R277 (2003).
[CrossRef]

Lyubchanskii1, M. I.

I. L. Lyubchanskii, N. N. Dadoenkova1, M. I. Lyubchanskii1, E. A. Shapovalov, and Th. Rasing, J. Phys. D 36, R277 (2003).
[CrossRef]

Mair, A.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Musser, J. A.

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

Notomi, M.

M. Notomi, Phys. Rev. B 62, 10696 (2000).
[CrossRef]

Park, H. Y.

C. Kee, J. Kim, H. Y. Park, I. Parl, and H. Lim, Phys. Rev. B 61, 15523 (2000).
[CrossRef]

Parl, I.

C. Kee, J. Kim, H. Y. Park, I. Parl, and H. Lim, Phys. Rev. B 61, 15523 (2000).
[CrossRef]

Pendry, J. B.

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

Phillips, D. F.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Pozar, D. M.

D. M. Pozar, Microwave Engineering, 3rd ed (Wiley, 2005).

Qiu, Y.

K. M. Leung and Y. Qiu, Phys. Rev. B 48, 7767 (1993).
[CrossRef]

Rasing, Th.

I. L. Lyubchanskii, N. N. Dadoenkova1, M. I. Lyubchanskii1, E. A. Shapovalov, and Th. Rasing, J. Phys. D 36, R277 (2003).
[CrossRef]

Reed, E. J.

E. J. Reed, M. Soljacic, and J. D. Joannopoulos, Phys. Rev. Lett. 90, 203904 (2003).
[CrossRef] [PubMed]

Schultz, S.

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 79 (2001).
[CrossRef]

Shahriar, M. S.

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

Shapovalov, E. A.

I. L. Lyubchanskii, N. N. Dadoenkova1, M. I. Lyubchanskii1, E. A. Shapovalov, and Th. Rasing, J. Phys. D 36, R277 (2003).
[CrossRef]

Shelby, R. A.

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 79 (2001).
[CrossRef]

Slichter, C. P.

C. P. Slichter, Principle of Magnetic Resonance (Springer-Verlag, 1978).

Smith, D. R.

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 79 (2001).
[CrossRef]

Soljacic, M.

E. J. Reed, M. Soljacic, and J. D. Joannopoulos, Phys. Rev. Lett. 90, 203904 (2003).
[CrossRef] [PubMed]

Sudarshanam, V. S.

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

Turukhin, A. V.

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1987).

Walsworth, R. L.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Xu, C.

C. Xu, X. Hu, Y. Li, X. Liu, R. Fu, and J. Zi, Phys. Rev. B 68, 193201 (2003).
[CrossRef]

Zi, J.

C. Xu, X. Hu, Y. Li, X. Liu, R. Fu, and J. Zi, Phys. Rev. B 68, 193201 (2003).
[CrossRef]

J. Phys. D (1)

I. L. Lyubchanskii, N. N. Dadoenkova1, M. I. Lyubchanskii1, E. A. Shapovalov, and Th. Rasing, J. Phys. D 36, R277 (2003).
[CrossRef]

Nature (2)

Z. Liu, Z. Dutton, C. H. Behroozi, and L. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Phys. Rev. (1)

V. Heine, Phys. Rev. 153, 673 (1967).
[CrossRef]

Phys. Rev. B (4)

C. Kee, J. Kim, H. Y. Park, I. Parl, and H. Lim, Phys. Rev. B 61, 15523 (2000).
[CrossRef]

C. Xu, X. Hu, Y. Li, X. Liu, R. Fu, and J. Zi, Phys. Rev. B 68, 193201 (2003).
[CrossRef]

K. M. Leung and Y. Qiu, Phys. Rev. B 48, 7767 (1993).
[CrossRef]

M. Notomi, Phys. Rev. B 62, 10696 (2000).
[CrossRef]

Phys. Rev. Lett. (4)

A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, and P. R. Hemmer, Phys. Rev. Lett. 88, 023602 (2002).
[CrossRef] [PubMed]

E. J. Reed, M. Soljacic, and J. D. Joannopoulos, Phys. Rev. Lett. 90, 203904 (2003).
[CrossRef] [PubMed]

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Science (1)

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 79 (2001).
[CrossRef]

Other (3)

C. P. Slichter, Principle of Magnetic Resonance (Springer-Verlag, 1978).

D. M. Pozar, Microwave Engineering, 3rd ed (Wiley, 2005).

H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1987).

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Figures (4)

Fig. 1
Fig. 1

Phase shifts for the E modes with n = 0 , n = 1 , and n = 1 for ω m ω 0 = 2 , α = 0 , and ϵ = 2.25 . The radius of the cylinder is R = 0.625 c ω 0 , and a = 4 R .

Fig. 2
Fig. 2

Comparison of the PB structures of the E modes for ω 0 = 2.5 c a (left panel) and ω 0 = 2 c a (right panel). The cutoff n c = 7 ; that is, n runs from 7 to 7. For a typical ferrite, M 0 = 1800 G, H 0 = 3500 Oe; the present system corresponds to the case with a and R of the order of a millimeter.

Fig. 3
Fig. 3

Estimate of the refracted angle (in radians) as a function of ω 0 . The incoming wave is at an angle of 0.94 rad; ω i a ( 2 π c ) = 0.56 , R a = 0.25 , and ω m a ( 2 π c ) = 0.796 .

Fig. 4
Fig. 4

Estimates of the reflectivity as a function of ω 0 ω m with ω i a ( 2 π c ) = 0.56 , R a = 0.25 , and ω m a ( 2 π c ) = 0.796 .

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

μ ̂ = [ μ i μ 0 i μ μ 0 0 0 1 ] , μ ̂ 1 = [ d i b 0 i b d 0 0 0 1 ] ,
× × μ ̂ 1 B ( r ) k 0 2 ϵ B ( r ) = 0 ,
A ( n ) = [ R 0 exp ( i k R ) H n ( k 0 R ) exp ( i n ϕ R ) 1 ] i
R ( k i k r ) ( k i + k r ) 2 ,

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