Abstract

The superprism effect has been studied in the past by use of the anomalous group velocities of optical waves in photonic crystals. We suggest the possibility of realizing agile beam steering based on purely phase-velocity effects. We present designs of photonic crystal prisms that might make experimental observation of this effect possible.

© 2004 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  10. L. Wu, M. Mazilu, T. Karle, and T. F. Krauss, IEEE J. Quantum Electron. 38, 915 (2002).
    [CrossRef]
  11. T. Baba and T. Matsumoto, Appl. Phys. Lett. 81, 2325 (2002).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  16. S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, Phys. Rev. E 66, 066608 (2002).
    [CrossRef]
  17. We omitted from Fig. 2 another mode that has k⊥<0. The coupling of this mode can be reduced by the taper structure.

2003 (1)

T. Prasad, V. Colvin, and D. Mittleman, Phys. Rev. B 67, 165103 (2003).
[CrossRef]

2002 (5)

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B 65, 201104(R) (2002).
[CrossRef]

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, Phys. Rev. E 66, 066608 (2002).
[CrossRef]

T. Baba and M. Nakamura, IEEE J. Quantum Electron. 38, 909 (2002).
[CrossRef]

L. Wu, M. Mazilu, T. Karle, and T. F. Krauss, IEEE J. Quantum Electron. 38, 915 (2002).
[CrossRef]

T. Baba and T. Matsumoto, Appl. Phys. Lett. 81, 2325 (2002).
[CrossRef]

2001 (2)

T. Ochiai and J. Sanchez-Dehesa, Phys. Rev. B 64, 245113 (2001).
[CrossRef]

T. Baba and D. Ohsaki, Jpn. J. Appl. Phys. 40, 5920 (2001).
[CrossRef]

2000 (4)

1999 (2)

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1370 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

1998 (1)

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, R10096 (1998).
[CrossRef]

1996 (1)

Baba, T.

T. Baba and M. Nakamura, IEEE J. Quantum Electron. 38, 909 (2002).
[CrossRef]

T. Baba and T. Matsumoto, Appl. Phys. Lett. 81, 2325 (2002).
[CrossRef]

T. Baba and D. Ohsaki, Jpn. J. Appl. Phys. 40, 5920 (2001).
[CrossRef]

Bienstman, P.

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, Phys. Rev. E 66, 066608 (2002).
[CrossRef]

Colvin, V.

T. Prasad, V. Colvin, and D. Mittleman, Phys. Rev. B 67, 165103 (2003).
[CrossRef]

Enoch, S.

Gerken, M.

Gralak, B.

Harris, J. J. S.

Hietala, V. M.

Ibanescu, M.

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, Phys. Rev. E 66, 066608 (2002).
[CrossRef]

Joannopoulos, J. D.

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, Phys. Rev. E 66, 066608 (2002).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B 65, 201104(R) (2002).
[CrossRef]

Johnson, S. G.

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B 65, 201104(R) (2002).
[CrossRef]

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, Phys. Rev. E 66, 066608 (2002).
[CrossRef]

Jones, E. D.

Karle, T.

L. Wu, M. Mazilu, T. Karle, and T. F. Krauss, IEEE J. Quantum Electron. 38, 915 (2002).
[CrossRef]

Kawakami, S.

H. Kosaka, T. Kawashima, A. Tomita, T. Sato, and S. Kawakami, Appl. Phys. Lett. 76, 268 (2000).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1370 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, R10096 (1998).
[CrossRef]

Kawashima, T.

H. Kosaka, T. Kawashima, A. Tomita, T. Sato, and S. Kawakami, Appl. Phys. Lett. 76, 268 (2000).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1370 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, R10096 (1998).
[CrossRef]

Kosaka, H.

H. Kosaka, T. Kawashima, A. Tomita, T. Sato, and S. Kawakami, Appl. Phys. Lett. 76, 268 (2000).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1370 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, R10096 (1998).
[CrossRef]

Krauss, T. F.

L. Wu, M. Mazilu, T. Karle, and T. F. Krauss, IEEE J. Quantum Electron. 38, 915 (2002).
[CrossRef]

Lidorikis, E.

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, Phys. Rev. E 66, 066608 (2002).
[CrossRef]

Lin, C.-C.

Lin, S.-Y.

Luo, C.

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B 65, 201104(R) (2002).
[CrossRef]

Matsumoto, T.

T. Baba and T. Matsumoto, Appl. Phys. Lett. 81, 2325 (2002).
[CrossRef]

Mazilu, M.

L. Wu, M. Mazilu, T. Karle, and T. F. Krauss, IEEE J. Quantum Electron. 38, 915 (2002).
[CrossRef]

Miller, D. A. B.

Mittleman, D.

T. Prasad, V. Colvin, and D. Mittleman, Phys. Rev. B 67, 165103 (2003).
[CrossRef]

Nakamura, M.

T. Baba and M. Nakamura, IEEE J. Quantum Electron. 38, 909 (2002).
[CrossRef]

Nelson, B. E.

Notomi, M.

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

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1370 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, R10096 (1998).
[CrossRef]

Ochiai, T.

T. Ochiai and J. Sanchez-Dehesa, Phys. Rev. B 64, 245113 (2001).
[CrossRef]

Ohsaki, D.

T. Baba and D. Ohsaki, Jpn. J. Appl. Phys. 40, 5920 (2001).
[CrossRef]

Pendry, J. B.

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B 65, 201104(R) (2002).
[CrossRef]

Piestun, R.

Prasad, T.

T. Prasad, V. Colvin, and D. Mittleman, Phys. Rev. B 67, 165103 (2003).
[CrossRef]

Sanchez-Dehesa, J.

T. Ochiai and J. Sanchez-Dehesa, Phys. Rev. B 64, 245113 (2001).
[CrossRef]

Sato, T.

H. Kosaka, T. Kawashima, A. Tomita, T. Sato, and S. Kawakami, Appl. Phys. Lett. 76, 268 (2000).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1370 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, R10096 (1998).
[CrossRef]

Skorobogatiy, M. A.

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, Phys. Rev. E 66, 066608 (2002).
[CrossRef]

Tamamura, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1370 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, R10096 (1998).
[CrossRef]

Tayeb, G.

Tomita, A.

H. Kosaka, T. Kawashima, A. Tomita, T. Sato, and S. Kawakami, Appl. Phys. Lett. 76, 268 (2000).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1370 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, R10096 (1998).
[CrossRef]

Wang, L.

Wu, L.

L. Wu, M. Mazilu, T. Karle, and T. F. Krauss, IEEE J. Quantum Electron. 38, 915 (2002).
[CrossRef]

Appl. Phys. Lett. (4)

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1370 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, T. Sato, and S. Kawakami, Appl. Phys. Lett. 76, 268 (2000).
[CrossRef]

T. Baba and T. Matsumoto, Appl. Phys. Lett. 81, 2325 (2002).
[CrossRef]

IEEE J. Quantum Electron. (2)

T. Baba and M. Nakamura, IEEE J. Quantum Electron. 38, 909 (2002).
[CrossRef]

L. Wu, M. Mazilu, T. Karle, and T. F. Krauss, IEEE J. Quantum Electron. 38, 915 (2002).
[CrossRef]

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

Jpn. J. Appl. Phys. (1)

T. Baba and D. Ohsaki, Jpn. J. Appl. Phys. 40, 5920 (2001).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. B (5)

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, R10096 (1998).
[CrossRef]

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

T. Ochiai and J. Sanchez-Dehesa, Phys. Rev. B 64, 245113 (2001).
[CrossRef]

T. Prasad, V. Colvin, and D. Mittleman, Phys. Rev. B 67, 165103 (2003).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B 65, 201104(R) (2002).
[CrossRef]

Phys. Rev. E (1)

S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, Phys. Rev. E 66, 066608 (2002).
[CrossRef]

Other (1)

We omitted from Fig. 2 another mode that has k⊥<0. The coupling of this mode can be reduced by the taper structure.

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Figures (3)

Fig. 1
Fig. 1

(a) A sharp-corner region of the dispersion surface makes possible large changes in the direction of u=ω/k for small changes in k. (b) A flat region can produce a large change in k by a small change in k. The direction is parallel to the crystal interface, and the direction points toward the inside of the crystal. (c) Example dispersion surfaces of a 1D photonic crystal with period a. The background dashed lines represent the periodically shifted dispersion surfaces of a uniform medium. Near their intersections, regions of both large curvature (near A1 and A2) and small curvature (near B) appear on the photonic-crystal dispersion surface. O and G1 are reciprocal-lattice sites.

Fig. 2
Fig. 2

(a) Schematic illustration of a prism setup in which light enters an extra prism of index =12 and goes through the photonic crystal prism. (b) Analysis of the refraction process at the incident (ΓM) crystal interface. The red contours are the dispersion surfaces of the photonic crystal, and the blue contour is that of the incident medium. The gray lines indicate the first Brillouin zone with high-symmetry points Γ, X, and M. The thin arrows represent the Bloch wave vectors of the modes, and the thick arrows are their group velocities.

Fig. 3
Fig. 3

Finite-difference time-domain simulation snapshots of the magnetic field perpendicular to the plane for cw waves [ω=0.172πc/a] with incident angles shown. The arrows in the outgoing waves indicate the directions of the peak Poynting vectors. Red, white, and blue correspond to positive, zero, and negative field values.

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