Abstract

We address the existence and properties of lossless surface waves that form at interfaces between magnetic and birefringent media. We show that the angular domain of existence of Dyakonov surface waves for magnetic interfaces is significantly larger than that for nonmagnetic ones. Our results have important implications for the experimental generation of surface waves and for their potential applications based on guided-to-leaky transitions.

© 2005 Optical Society of America

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  1. S. Kawata, ed., Near-Field Optics and Surface Plasmon Polaritons (Springer-Verlag, 2001).
    [CrossRef]
  2. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals (Princeton U. Press, 1995).
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  4. N. S. Averkiev and M. I. D’yakonov, Opt. Spectrosc. 68, 653 (1990).
  5. L. Torner, J. P. Torres, and D. Mihalache, IEEE Photon. Technol. Lett. 5, 201 (1993).
    [CrossRef]
  6. L. Torner, C. Santos, J. P. Torres, and D. Mihalache, Fiber Integr. Opt. 13, 271 (1994).
    [CrossRef]
  7. L. Torner, J. P. Torres, C. Ojeda, and D. Mihalache, J. Lightwave Technol. 13, 2027 (1995).
    [CrossRef]
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    [CrossRef]
  9. D. Artigas and L. Torner, Phys. Rev. Lett. 94, 013901 (2005).
    [CrossRef]
  10. Ll. Casas, A. Roig, E. Rodriguez, E. Molins, J. Tejada, and J. Sort, J. Non-Cryst. Solids 285, 37 (2001).
    [CrossRef]
  11. S. Ohkoshi, T. Iyoda, A. Fujishima, and K. Hashimoto, Phys. Rev. B 56, 11,642 (1997).
    [CrossRef]
  12. S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, Science 306, 1351 (2004).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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2005 (2)

2004 (2)

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, Science 306, 1351 (2004).
[CrossRef] [PubMed]

L. Ejsing, M. F. Hansen, A. K. Menon, H. A. Ferreira, D. L. Graham, and P. P. Freitas, Appl. Phys. Lett. 84, 4729 (2004).
[CrossRef]

2002 (2)

D. J. Sellmyer, Nature 420, 374 (2002).
[CrossRef] [PubMed]

H. Zeng, J. Li, J. P. Liu, Z. L. Wang, and S. Sun, Nature 420, 395 (2002).
[CrossRef] [PubMed]

2001 (1)

Ll. Casas, A. Roig, E. Rodriguez, E. Molins, J. Tejada, and J. Sort, J. Non-Cryst. Solids 285, 37 (2001).
[CrossRef]

1998 (1)

1997 (1)

S. Ohkoshi, T. Iyoda, A. Fujishima, and K. Hashimoto, Phys. Rev. B 56, 11,642 (1997).
[CrossRef]

1995 (1)

L. Torner, J. P. Torres, C. Ojeda, and D. Mihalache, J. Lightwave Technol. 13, 2027 (1995).
[CrossRef]

1994 (2)

L. Torner, C. Santos, J. P. Torres, and D. Mihalache, Fiber Integr. Opt. 13, 271 (1994).
[CrossRef]

D. Mihalache, D. M. Baboiu, M. Ciumac, L. Torner, and J. P. Torres, Opt. Commun. 108, 239 (1994).
[CrossRef]

1993 (1)

L. Torner, J. P. Torres, and D. Mihalache, IEEE Photon. Technol. Lett. 5, 201 (1993).
[CrossRef]

1990 (1)

N. S. Averkiev and M. I. D’yakonov, Opt. Spectrosc. 68, 653 (1990).

1988 (1)

M. I. D’yakonov, Sov. Phys. JETP 67, 714 (1988).

Artigas, D.

D. Artigas and L. Torner, Phys. Rev. Lett. 94, 013901 (2005).
[CrossRef]

Averkiev, N. S.

N. S. Averkiev and M. I. D’yakonov, Opt. Spectrosc. 68, 653 (1990).

Baboiu, D. M.

D. Mihalache, D. M. Baboiu, M. Ciumac, L. Torner, and J. P. Torres, Opt. Commun. 108, 239 (1994).
[CrossRef]

Casas, Ll.

Ll. Casas, A. Roig, E. Rodriguez, E. Molins, J. Tejada, and J. Sort, J. Non-Cryst. Solids 285, 37 (2001).
[CrossRef]

Chao, Y. H.

Chieh, J. J.

Ciumac, M.

D. Mihalache, D. M. Baboiu, M. Ciumac, L. Torner, and J. P. Torres, Opt. Commun. 108, 239 (1994).
[CrossRef]

D’yakonov, M. I.

N. S. Averkiev and M. I. D’yakonov, Opt. Spectrosc. 68, 653 (1990).

M. I. D’yakonov, Sov. Phys. JETP 67, 714 (1988).

Ejsing, L.

L. Ejsing, M. F. Hansen, A. K. Menon, H. A. Ferreira, D. L. Graham, and P. P. Freitas, Appl. Phys. Lett. 84, 4729 (2004).
[CrossRef]

Enkrich, C.

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, Science 306, 1351 (2004).
[CrossRef] [PubMed]

Ferreira, H. A.

L. Ejsing, M. F. Hansen, A. K. Menon, H. A. Ferreira, D. L. Graham, and P. P. Freitas, Appl. Phys. Lett. 84, 4729 (2004).
[CrossRef]

Freitas, P. P.

L. Ejsing, M. F. Hansen, A. K. Menon, H. A. Ferreira, D. L. Graham, and P. P. Freitas, Appl. Phys. Lett. 84, 4729 (2004).
[CrossRef]

Fujishima, A.

S. Ohkoshi, T. Iyoda, A. Fujishima, and K. Hashimoto, Phys. Rev. B 56, 11,642 (1997).
[CrossRef]

Gaylord, T. K.

Glytsis, E. N.

Graham, D. L.

L. Ejsing, M. F. Hansen, A. K. Menon, H. A. Ferreira, D. L. Graham, and P. P. Freitas, Appl. Phys. Lett. 84, 4729 (2004).
[CrossRef]

Hansen, M. F.

L. Ejsing, M. F. Hansen, A. K. Menon, H. A. Ferreira, D. L. Graham, and P. P. Freitas, Appl. Phys. Lett. 84, 4729 (2004).
[CrossRef]

Hashimoto, K.

S. Ohkoshi, T. Iyoda, A. Fujishima, and K. Hashimoto, Phys. Rev. B 56, 11,642 (1997).
[CrossRef]

Hong, C.-Y.

Horng, H. E.

Iyoda, T.

S. Ohkoshi, T. Iyoda, A. Fujishima, and K. Hashimoto, Phys. Rev. B 56, 11,642 (1997).
[CrossRef]

Joannopoulos, J. D.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals (Princeton U. Press, 1995).

Kawata, S.

S. Kawata, ed., Near-Field Optics and Surface Plasmon Polaritons (Springer-Verlag, 2001).
[CrossRef]

Koschny, T.

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, Science 306, 1351 (2004).
[CrossRef] [PubMed]

Li, J.

H. Zeng, J. Li, J. P. Liu, Z. L. Wang, and S. Sun, Nature 420, 395 (2002).
[CrossRef] [PubMed]

Linden, S.

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, Science 306, 1351 (2004).
[CrossRef] [PubMed]

Liu, J. P.

H. Zeng, J. Li, J. P. Liu, Z. L. Wang, and S. Sun, Nature 420, 395 (2002).
[CrossRef] [PubMed]

Meade, R. D.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals (Princeton U. Press, 1995).

Menon, A. K.

L. Ejsing, M. F. Hansen, A. K. Menon, H. A. Ferreira, D. L. Graham, and P. P. Freitas, Appl. Phys. Lett. 84, 4729 (2004).
[CrossRef]

Mihalache, D.

L. Torner, J. P. Torres, C. Ojeda, and D. Mihalache, J. Lightwave Technol. 13, 2027 (1995).
[CrossRef]

L. Torner, C. Santos, J. P. Torres, and D. Mihalache, Fiber Integr. Opt. 13, 271 (1994).
[CrossRef]

D. Mihalache, D. M. Baboiu, M. Ciumac, L. Torner, and J. P. Torres, Opt. Commun. 108, 239 (1994).
[CrossRef]

L. Torner, J. P. Torres, and D. Mihalache, IEEE Photon. Technol. Lett. 5, 201 (1993).
[CrossRef]

Molins, E.

Ll. Casas, A. Roig, E. Rodriguez, E. Molins, J. Tejada, and J. Sort, J. Non-Cryst. Solids 285, 37 (2001).
[CrossRef]

Ohkoshi, S.

S. Ohkoshi, T. Iyoda, A. Fujishima, and K. Hashimoto, Phys. Rev. B 56, 11,642 (1997).
[CrossRef]

Ojeda, C.

L. Torner, J. P. Torres, C. Ojeda, and D. Mihalache, J. Lightwave Technol. 13, 2027 (1995).
[CrossRef]

Rodriguez, E.

Ll. Casas, A. Roig, E. Rodriguez, E. Molins, J. Tejada, and J. Sort, J. Non-Cryst. Solids 285, 37 (2001).
[CrossRef]

Roig, A.

Ll. Casas, A. Roig, E. Rodriguez, E. Molins, J. Tejada, and J. Sort, J. Non-Cryst. Solids 285, 37 (2001).
[CrossRef]

Santos, C.

L. Torner, C. Santos, J. P. Torres, and D. Mihalache, Fiber Integr. Opt. 13, 271 (1994).
[CrossRef]

Sellmyer, D. J.

D. J. Sellmyer, Nature 420, 374 (2002).
[CrossRef] [PubMed]

Sort, J.

Ll. Casas, A. Roig, E. Rodriguez, E. Molins, J. Tejada, and J. Sort, J. Non-Cryst. Solids 285, 37 (2001).
[CrossRef]

Soukoulis, C. M.

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, Science 306, 1351 (2004).
[CrossRef] [PubMed]

Sun, S.

H. Zeng, J. Li, J. P. Liu, Z. L. Wang, and S. Sun, Nature 420, 395 (2002).
[CrossRef] [PubMed]

Tejada, J.

Ll. Casas, A. Roig, E. Rodriguez, E. Molins, J. Tejada, and J. Sort, J. Non-Cryst. Solids 285, 37 (2001).
[CrossRef]

Torner, L.

D. Artigas and L. Torner, Phys. Rev. Lett. 94, 013901 (2005).
[CrossRef]

L. Torner, J. P. Torres, C. Ojeda, and D. Mihalache, J. Lightwave Technol. 13, 2027 (1995).
[CrossRef]

L. Torner, C. Santos, J. P. Torres, and D. Mihalache, Fiber Integr. Opt. 13, 271 (1994).
[CrossRef]

D. Mihalache, D. M. Baboiu, M. Ciumac, L. Torner, and J. P. Torres, Opt. Commun. 108, 239 (1994).
[CrossRef]

L. Torner, J. P. Torres, and D. Mihalache, IEEE Photon. Technol. Lett. 5, 201 (1993).
[CrossRef]

Torres, J. P.

L. Torner, J. P. Torres, C. Ojeda, and D. Mihalache, J. Lightwave Technol. 13, 2027 (1995).
[CrossRef]

L. Torner, C. Santos, J. P. Torres, and D. Mihalache, Fiber Integr. Opt. 13, 271 (1994).
[CrossRef]

D. Mihalache, D. M. Baboiu, M. Ciumac, L. Torner, and J. P. Torres, Opt. Commun. 108, 239 (1994).
[CrossRef]

L. Torner, J. P. Torres, and D. Mihalache, IEEE Photon. Technol. Lett. 5, 201 (1993).
[CrossRef]

Walker, D. B.

Wang, Z. L.

H. Zeng, J. Li, J. P. Liu, Z. L. Wang, and S. Sun, Nature 420, 395 (2002).
[CrossRef] [PubMed]

Wegener, M.

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, Science 306, 1351 (2004).
[CrossRef] [PubMed]

Winn, J. N.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals (Princeton U. Press, 1995).

Yang, H. C.

Yang, S. Y.

Zeng, H.

H. Zeng, J. Li, J. P. Liu, Z. L. Wang, and S. Sun, Nature 420, 395 (2002).
[CrossRef] [PubMed]

Zhou, J.

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, Science 306, 1351 (2004).
[CrossRef] [PubMed]

Appl. Phys. Lett. (1)

L. Ejsing, M. F. Hansen, A. K. Menon, H. A. Ferreira, D. L. Graham, and P. P. Freitas, Appl. Phys. Lett. 84, 4729 (2004).
[CrossRef]

Fiber Integr. Opt. (1)

L. Torner, C. Santos, J. P. Torres, and D. Mihalache, Fiber Integr. Opt. 13, 271 (1994).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

L. Torner, J. P. Torres, and D. Mihalache, IEEE Photon. Technol. Lett. 5, 201 (1993).
[CrossRef]

J. Lightwave Technol. (1)

L. Torner, J. P. Torres, C. Ojeda, and D. Mihalache, J. Lightwave Technol. 13, 2027 (1995).
[CrossRef]

J. Non-Cryst. Solids (1)

Ll. Casas, A. Roig, E. Rodriguez, E. Molins, J. Tejada, and J. Sort, J. Non-Cryst. Solids 285, 37 (2001).
[CrossRef]

J. Opt. Soc. Am. A (1)

Nature (2)

D. J. Sellmyer, Nature 420, 374 (2002).
[CrossRef] [PubMed]

H. Zeng, J. Li, J. P. Liu, Z. L. Wang, and S. Sun, Nature 420, 395 (2002).
[CrossRef] [PubMed]

Opt. Commun. (1)

D. Mihalache, D. M. Baboiu, M. Ciumac, L. Torner, and J. P. Torres, Opt. Commun. 108, 239 (1994).
[CrossRef]

Opt. Lett. (1)

Opt. Spectrosc. (1)

N. S. Averkiev and M. I. D’yakonov, Opt. Spectrosc. 68, 653 (1990).

Phys. Rev. B (1)

S. Ohkoshi, T. Iyoda, A. Fujishima, and K. Hashimoto, Phys. Rev. B 56, 11,642 (1997).
[CrossRef]

Phys. Rev. Lett. (1)

D. Artigas and L. Torner, Phys. Rev. Lett. 94, 013901 (2005).
[CrossRef]

Science (1)

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, Science 306, 1351 (2004).
[CrossRef] [PubMed]

Sov. Phys. JETP (1)

M. I. D’yakonov, Sov. Phys. JETP 67, 714 (1988).

Other (2)

S. Kawata, ed., Near-Field Optics and Surface Plasmon Polaritons (Springer-Verlag, 2001).
[CrossRef]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals (Princeton U. Press, 1995).

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Figures (4)

Fig. 1
Fig. 1

Detail from the existence domain in the ( n c , θ ) parameter plane for a rutile substrate ( n o s = 2.583 , n e s = 2.865 ), for nonmagnetic cladding (darker shaded region), and for magnetic cladding with r = 2 (darker and lighter shaded regions). For completeness, the inset shows the whole existence domain for the magnetic case.

Fig. 2
Fig. 2

(a) Angular existence window Δ θ versus n c for three representative values of r. (b) Δ θ versus r for three representative values of n c . For both figures the substrate was rutile.

Fig. 3
Fig. 3

Cladding and substrate penetration depths Γ c , E s versus orientation angle θ for a few representative relative permeabilities r. Here n c = 1.55 , n o s = 1.35 , and n e s = 1.92 (the substrate is a photonic crystal).

Fig. 4
Fig. 4

Angular existence domains of Dyakonov-type hybrid guided waves versus (a) normalized film thickness D λ and (b) n c , for both magnetic cladding with μ c = 2 (darker and lighter shaded regions) and nonmagnetic cladding (darker shaded regions only). Angular existence domains of the Dyakonov-type guided waves versus (c) D λ and (d) n c for both a magnetic film ( μ f = 2 ; lighter shaded regions only) and a nonmagnetic film (lighter and darker shaded regions) between nonmagnetic cladding and substrate. In (a) and (c) n c = 1.55 ; in (b) and (d) D λ = 0.1 .

Equations (1)

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n o s 2 A E B O sin 2 θ γ o s 2 A o B e cos 2 θ = 0 ,

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