Abstract

We show that two rows of photonic lattices on each side of a narrow diffraction-inhibited beam are sufficient for confinement, enabling the launching of multi-beams with an interval of one lattice constant for independent propagation. A few integrated photonic circuit building blocks including arbitrary angle bends, power splitter and intersection are designed to realize flexible controls of the diffraction-inhibited beams. In addition, under wide beam illumination, incident beam power is well separated by the lattices rows, facilitating the simultaneous excitation of multiple diffraction-inhibited beams. These novel effects and building blocks offer exceptional opportunities for multichannel photonic routing.

© 2011 OSA

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  1. S. Longhi, “Multiband diffraction and refraction control in binary arrays of periodically curved waveguides,” Opt. Lett. 31(12), 1857–1859 (2006).
    [CrossRef] [PubMed]
  2. Y. V. Kartashov, A. Szameit, V. A. Vysloukh, and L. Torner, “Light tunneling inhibition and anisotropic diffraction engineering in two-dimensional waveguide arrays,” Opt. Lett. 34(19), 2906–2908 (2009).
    [CrossRef] [PubMed]
  3. A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, V. A. Vysloukh, F. Lederer, and L. Torner, “Inhibition of light tunneling in waveguide arrays,” Phys. Rev. Lett. 102(15), 153901 (2009).
    [CrossRef] [PubMed]
  4. Y. V. Kartashov and V. A. Vysloukh, “Light tunneling inhibition in longitudinally modulated Bragg-guiding arrays,” Opt. Lett. 35(12), 2097–2099 (2010).
    [CrossRef] [PubMed]
  5. Y. V. Kartashov and V. A. Vysloukh, “Light tunneling inhibition in array of couplers with longitudinal refractive index modulation,” Opt. Lett. 35(2), 205–207 (2010).
    [CrossRef] [PubMed]
  6. V. E. Lobanov, V. A. Vysloukh, and Y. V. Kartashov, “Inhibition of light tunneling for multichannel excitations in longitudinally modulated waveguide arrays,” Phys. Rev. A 81(2), 023803 (2010).
    [CrossRef]
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    [CrossRef] [PubMed]
  9. S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58(23), 2486–2489 (1987).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
  12. J. Witzens, M. Loncar, and A. Scherer, “Self-collimation in planar photonic crystals,” IEEE J. Sel. Top. Quantum Electron. 8(6), 1246–1257 (2002).
    [CrossRef]
  13. X. F. Yu and S. H. Fan, “Bends and splitters for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 83(16), 3251–3253 (2003).
    [CrossRef]
  14. Z. F. Li, H. B. Chen, Z. T. Song, F. H. Yang, and S. L. Feng, “Finite-width waveguide and waveguide intersections for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 85(21), 4834–4836 (2004).
    [CrossRef]
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    [CrossRef] [PubMed]
  16. D. W. Prather, S. Y. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. H. Chen, B. L. Miao, and R. Martin, “Self-collimation in photonic crystal structures: a new paradigm for applications and device development,” J. Phys. D Appl. Phys. 40(9), 2635–2651 (2007).
    [CrossRef]
  17. R. S. Chu and T. Tamir, “Group velocity in space-time periodic media,” Electron. Lett. 7(14), 410–412 (1971).
    [CrossRef]
  18. L. L. Zhang, Q. W. Zhan, J. Y. Zhang, and Y. P. Cui, “Diffraction inhibition in two-dimensional photonic crystals,” Opt. Lett. 36(5), 651–653 (2011).
    [CrossRef] [PubMed]
  19. S. G. Johnson and J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express 8(3), 173–190 (2001).
    [CrossRef] [PubMed]
  20. S. G. Lee, S. S. Oh, J. E. Kim, H. Y. Park, and C. S. Kee, “Line-defect-induced bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 87(18), 181106 (2005).
    [CrossRef]
  21. M. Wang, M. J. Yun, W. J. Kong, and C. L. Cui, “Beam splitter and beam bends based on self-collimation effect in two-dimensional photonic crystals,” J. Mod. Opt. 56(10), 1159–1162 (2009).
    [CrossRef]

2011 (1)

2010 (4)

2009 (3)

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, V. A. Vysloukh, F. Lederer, and L. Torner, “Inhibition of light tunneling in waveguide arrays,” Phys. Rev. Lett. 102(15), 153901 (2009).
[CrossRef] [PubMed]

M. Wang, M. J. Yun, W. J. Kong, and C. L. Cui, “Beam splitter and beam bends based on self-collimation effect in two-dimensional photonic crystals,” J. Mod. Opt. 56(10), 1159–1162 (2009).
[CrossRef]

Y. V. Kartashov, A. Szameit, V. A. Vysloukh, and L. Torner, “Light tunneling inhibition and anisotropic diffraction engineering in two-dimensional waveguide arrays,” Opt. Lett. 34(19), 2906–2908 (2009).
[CrossRef] [PubMed]

2007 (1)

D. W. Prather, S. Y. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. H. Chen, B. L. Miao, and R. Martin, “Self-collimation in photonic crystal structures: a new paradigm for applications and device development,” J. Phys. D Appl. Phys. 40(9), 2635–2651 (2007).
[CrossRef]

2006 (2)

S. Longhi, “Multiband diffraction and refraction control in binary arrays of periodically curved waveguides,” Opt. Lett. 31(12), 1857–1859 (2006).
[CrossRef] [PubMed]

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[CrossRef] [PubMed]

2005 (1)

S. G. Lee, S. S. Oh, J. E. Kim, H. Y. Park, and C. S. Kee, “Line-defect-induced bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 87(18), 181106 (2005).
[CrossRef]

2004 (1)

Z. F. Li, H. B. Chen, Z. T. Song, F. H. Yang, and S. L. Feng, “Finite-width waveguide and waveguide intersections for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 85(21), 4834–4836 (2004).
[CrossRef]

2003 (2)

X. F. Yu and S. H. Fan, “Bends and splitters for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 83(16), 3251–3253 (2003).
[CrossRef]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons,” Phys. Rev. Lett. 90(5), 053902 (2003).
[CrossRef] [PubMed]

2002 (1)

J. Witzens, M. Loncar, and A. Scherer, “Self-collimation in planar photonic crystals,” IEEE J. Sel. Top. Quantum Electron. 8(6), 1246–1257 (2002).
[CrossRef]

2001 (1)

1999 (1)

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett. 74(9), 1212–1214 (1999).
[CrossRef]

1987 (2)

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58(23), 2486–2489 (1987).
[CrossRef] [PubMed]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58(20), 2059–2062 (1987).
[CrossRef] [PubMed]

1971 (1)

R. S. Chu and T. Tamir, “Group velocity in space-time periodic media,” Electron. Lett. 7(14), 410–412 (1971).
[CrossRef]

Aitchison, J. S.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons,” Phys. Rev. Lett. 90(5), 053902 (2003).
[CrossRef] [PubMed]

Chen, C. H.

D. W. Prather, S. Y. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. H. Chen, B. L. Miao, and R. Martin, “Self-collimation in photonic crystal structures: a new paradigm for applications and device development,” J. Phys. D Appl. Phys. 40(9), 2635–2651 (2007).
[CrossRef]

Chen, H. B.

Z. F. Li, H. B. Chen, Z. T. Song, F. H. Yang, and S. L. Feng, “Finite-width waveguide and waveguide intersections for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 85(21), 4834–4836 (2004).
[CrossRef]

Chen, Z. G.

Chu, R. S.

R. S. Chu and T. Tamir, “Group velocity in space-time periodic media,” Electron. Lett. 7(14), 410–412 (1971).
[CrossRef]

Cui, C. L.

M. Wang, M. J. Yun, W. J. Kong, and C. L. Cui, “Beam splitter and beam bends based on self-collimation effect in two-dimensional photonic crystals,” J. Mod. Opt. 56(10), 1159–1162 (2009).
[CrossRef]

Cui, Y. P.

Dahlem, M. S.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[CrossRef] [PubMed]

Dreisow, F.

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, V. A. Vysloukh, F. Lederer, and L. Torner, “Inhibition of light tunneling in waveguide arrays,” Phys. Rev. Lett. 102(15), 153901 (2009).
[CrossRef] [PubMed]

Efremidis, N. K.

Eisenberg, H. S.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons,” Phys. Rev. Lett. 90(5), 053902 (2003).
[CrossRef] [PubMed]

Fan, S. H.

X. F. Yu and S. H. Fan, “Bends and splitters for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 83(16), 3251–3253 (2003).
[CrossRef]

Feng, S. L.

Z. F. Li, H. B. Chen, Z. T. Song, F. H. Yang, and S. L. Feng, “Finite-width waveguide and waveguide intersections for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 85(21), 4834–4836 (2004).
[CrossRef]

Heinrich, M.

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, V. A. Vysloukh, F. Lederer, and L. Torner, “Inhibition of light tunneling in waveguide arrays,” Phys. Rev. Lett. 102(15), 153901 (2009).
[CrossRef] [PubMed]

Hu, Y.

Ibanescu, M.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[CrossRef] [PubMed]

Ippen, E. P.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[CrossRef] [PubMed]

Joannopoulos, J. D.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[CrossRef] [PubMed]

S. G. Johnson and J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express 8(3), 173–190 (2001).
[CrossRef] [PubMed]

John, S.

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58(23), 2486–2489 (1987).
[CrossRef] [PubMed]

Johnson, S. G.

Kartashov, Y. V.

V. E. Lobanov, V. A. Vysloukh, and Y. V. Kartashov, “Inhibition of light tunneling for multichannel excitations in longitudinally modulated waveguide arrays,” Phys. Rev. A 81(2), 023803 (2010).
[CrossRef]

Y. V. Kartashov and V. A. Vysloukh, “Light tunneling inhibition in longitudinally modulated Bragg-guiding arrays,” Opt. Lett. 35(12), 2097–2099 (2010).
[CrossRef] [PubMed]

Y. V. Kartashov and V. A. Vysloukh, “Light tunneling inhibition in array of couplers with longitudinal refractive index modulation,” Opt. Lett. 35(2), 205–207 (2010).
[CrossRef] [PubMed]

Y. V. Kartashov, A. Szameit, V. A. Vysloukh, and L. Torner, “Light tunneling inhibition and anisotropic diffraction engineering in two-dimensional waveguide arrays,” Opt. Lett. 34(19), 2906–2908 (2009).
[CrossRef] [PubMed]

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, V. A. Vysloukh, F. Lederer, and L. Torner, “Inhibition of light tunneling in waveguide arrays,” Phys. Rev. Lett. 102(15), 153901 (2009).
[CrossRef] [PubMed]

Kawakami, S.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett. 74(9), 1212–1214 (1999).
[CrossRef]

Kawashima, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett. 74(9), 1212–1214 (1999).
[CrossRef]

Kee, C. S.

S. G. Lee, S. S. Oh, J. E. Kim, H. Y. Park, and C. S. Kee, “Line-defect-induced bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 87(18), 181106 (2005).
[CrossRef]

Kim, J. E.

S. G. Lee, S. S. Oh, J. E. Kim, H. Y. Park, and C. S. Kee, “Line-defect-induced bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 87(18), 181106 (2005).
[CrossRef]

Kolodziejski, L. A.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[CrossRef] [PubMed]

Kong, W. J.

M. Wang, M. J. Yun, W. J. Kong, and C. L. Cui, “Beam splitter and beam bends based on self-collimation effect in two-dimensional photonic crystals,” J. Mod. Opt. 56(10), 1159–1162 (2009).
[CrossRef]

Kosaka, H.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett. 74(9), 1212–1214 (1999).
[CrossRef]

Lederer, F.

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, V. A. Vysloukh, F. Lederer, and L. Torner, “Inhibition of light tunneling in waveguide arrays,” Phys. Rev. Lett. 102(15), 153901 (2009).
[CrossRef] [PubMed]

Lee, S. G.

S. G. Lee, S. S. Oh, J. E. Kim, H. Y. Park, and C. S. Kee, “Line-defect-induced bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 87(18), 181106 (2005).
[CrossRef]

Li, Z. F.

Z. F. Li, H. B. Chen, Z. T. Song, F. H. Yang, and S. L. Feng, “Finite-width waveguide and waveguide intersections for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 85(21), 4834–4836 (2004).
[CrossRef]

Lobanov, V. E.

V. E. Lobanov, V. A. Vysloukh, and Y. V. Kartashov, “Inhibition of light tunneling for multichannel excitations in longitudinally modulated waveguide arrays,” Phys. Rev. A 81(2), 023803 (2010).
[CrossRef]

Loncar, M.

J. Witzens, M. Loncar, and A. Scherer, “Self-collimation in planar photonic crystals,” IEEE J. Sel. Top. Quantum Electron. 8(6), 1246–1257 (2002).
[CrossRef]

Longhi, S.

Mandelik, D.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons,” Phys. Rev. Lett. 90(5), 053902 (2003).
[CrossRef] [PubMed]

Martin, R.

D. W. Prather, S. Y. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. H. Chen, B. L. Miao, and R. Martin, “Self-collimation in photonic crystal structures: a new paradigm for applications and device development,” J. Phys. D Appl. Phys. 40(9), 2635–2651 (2007).
[CrossRef]

Miao, B. L.

D. W. Prather, S. Y. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. H. Chen, B. L. Miao, and R. Martin, “Self-collimation in photonic crystal structures: a new paradigm for applications and device development,” J. Phys. D Appl. Phys. 40(9), 2635–2651 (2007).
[CrossRef]

Miller, A.

Morandotti, R.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons,” Phys. Rev. Lett. 90(5), 053902 (2003).
[CrossRef] [PubMed]

Murakowski, J.

D. W. Prather, S. Y. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. H. Chen, B. L. Miao, and R. Martin, “Self-collimation in photonic crystal structures: a new paradigm for applications and device development,” J. Phys. D Appl. Phys. 40(9), 2635–2651 (2007).
[CrossRef]

Nolte, S.

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, V. A. Vysloukh, F. Lederer, and L. Torner, “Inhibition of light tunneling in waveguide arrays,” Phys. Rev. Lett. 102(15), 153901 (2009).
[CrossRef] [PubMed]

Notomi, M.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett. 74(9), 1212–1214 (1999).
[CrossRef]

Oh, S. S.

S. G. Lee, S. S. Oh, J. E. Kim, H. Y. Park, and C. S. Kee, “Line-defect-induced bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 87(18), 181106 (2005).
[CrossRef]

Park, H. Y.

S. G. Lee, S. S. Oh, J. E. Kim, H. Y. Park, and C. S. Kee, “Line-defect-induced bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 87(18), 181106 (2005).
[CrossRef]

Pertsch, T.

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, V. A. Vysloukh, F. Lederer, and L. Torner, “Inhibition of light tunneling in waveguide arrays,” Phys. Rev. Lett. 102(15), 153901 (2009).
[CrossRef] [PubMed]

Petrich, G. S.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[CrossRef] [PubMed]

Prather, D. W.

D. W. Prather, S. Y. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. H. Chen, B. L. Miao, and R. Martin, “Self-collimation in photonic crystal structures: a new paradigm for applications and device development,” J. Phys. D Appl. Phys. 40(9), 2635–2651 (2007).
[CrossRef]

Rakich, P. T.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[CrossRef] [PubMed]

Sato, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett. 74(9), 1212–1214 (1999).
[CrossRef]

Scherer, A.

J. Witzens, M. Loncar, and A. Scherer, “Self-collimation in planar photonic crystals,” IEEE J. Sel. Top. Quantum Electron. 8(6), 1246–1257 (2002).
[CrossRef]

Schneider, G. J.

D. W. Prather, S. Y. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. H. Chen, B. L. Miao, and R. Martin, “Self-collimation in photonic crystal structures: a new paradigm for applications and device development,” J. Phys. D Appl. Phys. 40(9), 2635–2651 (2007).
[CrossRef]

Sharkawy, A.

D. W. Prather, S. Y. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. H. Chen, B. L. Miao, and R. Martin, “Self-collimation in photonic crystal structures: a new paradigm for applications and device development,” J. Phys. D Appl. Phys. 40(9), 2635–2651 (2007).
[CrossRef]

Shi, S. Y.

D. W. Prather, S. Y. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. H. Chen, B. L. Miao, and R. Martin, “Self-collimation in photonic crystal structures: a new paradigm for applications and device development,” J. Phys. D Appl. Phys. 40(9), 2635–2651 (2007).
[CrossRef]

Silberberg, Y.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons,” Phys. Rev. Lett. 90(5), 053902 (2003).
[CrossRef] [PubMed]

Soljacic, M.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[CrossRef] [PubMed]

Song, Z. T.

Z. F. Li, H. B. Chen, Z. T. Song, F. H. Yang, and S. L. Feng, “Finite-width waveguide and waveguide intersections for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 85(21), 4834–4836 (2004).
[CrossRef]

Szameit, A.

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, V. A. Vysloukh, F. Lederer, and L. Torner, “Inhibition of light tunneling in waveguide arrays,” Phys. Rev. Lett. 102(15), 153901 (2009).
[CrossRef] [PubMed]

Y. V. Kartashov, A. Szameit, V. A. Vysloukh, and L. Torner, “Light tunneling inhibition and anisotropic diffraction engineering in two-dimensional waveguide arrays,” Opt. Lett. 34(19), 2906–2908 (2009).
[CrossRef] [PubMed]

Tamamura, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett. 74(9), 1212–1214 (1999).
[CrossRef]

Tamir, T.

R. S. Chu and T. Tamir, “Group velocity in space-time periodic media,” Electron. Lett. 7(14), 410–412 (1971).
[CrossRef]

Tandon, S.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[CrossRef] [PubMed]

Tomita, A.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett. 74(9), 1212–1214 (1999).
[CrossRef]

Torner, L.

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, V. A. Vysloukh, F. Lederer, and L. Torner, “Inhibition of light tunneling in waveguide arrays,” Phys. Rev. Lett. 102(15), 153901 (2009).
[CrossRef] [PubMed]

Y. V. Kartashov, A. Szameit, V. A. Vysloukh, and L. Torner, “Light tunneling inhibition and anisotropic diffraction engineering in two-dimensional waveguide arrays,” Opt. Lett. 34(19), 2906–2908 (2009).
[CrossRef] [PubMed]

Tünnermann, A.

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, V. A. Vysloukh, F. Lederer, and L. Torner, “Inhibition of light tunneling in waveguide arrays,” Phys. Rev. Lett. 102(15), 153901 (2009).
[CrossRef] [PubMed]

Vysloukh, V. A.

V. E. Lobanov, V. A. Vysloukh, and Y. V. Kartashov, “Inhibition of light tunneling for multichannel excitations in longitudinally modulated waveguide arrays,” Phys. Rev. A 81(2), 023803 (2010).
[CrossRef]

Y. V. Kartashov and V. A. Vysloukh, “Light tunneling inhibition in longitudinally modulated Bragg-guiding arrays,” Opt. Lett. 35(12), 2097–2099 (2010).
[CrossRef] [PubMed]

Y. V. Kartashov and V. A. Vysloukh, “Light tunneling inhibition in array of couplers with longitudinal refractive index modulation,” Opt. Lett. 35(2), 205–207 (2010).
[CrossRef] [PubMed]

Y. V. Kartashov, A. Szameit, V. A. Vysloukh, and L. Torner, “Light tunneling inhibition and anisotropic diffraction engineering in two-dimensional waveguide arrays,” Opt. Lett. 34(19), 2906–2908 (2009).
[CrossRef] [PubMed]

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, V. A. Vysloukh, F. Lederer, and L. Torner, “Inhibition of light tunneling in waveguide arrays,” Phys. Rev. Lett. 102(15), 153901 (2009).
[CrossRef] [PubMed]

Wang, M.

M. Wang, M. J. Yun, W. J. Kong, and C. L. Cui, “Beam splitter and beam bends based on self-collimation effect in two-dimensional photonic crystals,” J. Mod. Opt. 56(10), 1159–1162 (2009).
[CrossRef]

Witzens, J.

J. Witzens, M. Loncar, and A. Scherer, “Self-collimation in planar photonic crystals,” IEEE J. Sel. Top. Quantum Electron. 8(6), 1246–1257 (2002).
[CrossRef]

Yablonovitch, E.

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58(20), 2059–2062 (1987).
[CrossRef] [PubMed]

Yang, F. H.

Z. F. Li, H. B. Chen, Z. T. Song, F. H. Yang, and S. L. Feng, “Finite-width waveguide and waveguide intersections for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 85(21), 4834–4836 (2004).
[CrossRef]

Yu, X. F.

X. F. Yu and S. H. Fan, “Bends and splitters for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 83(16), 3251–3253 (2003).
[CrossRef]

Yun, M. J.

M. Wang, M. J. Yun, W. J. Kong, and C. L. Cui, “Beam splitter and beam bends based on self-collimation effect in two-dimensional photonic crystals,” J. Mod. Opt. 56(10), 1159–1162 (2009).
[CrossRef]

Zhan, Q. W.

Zhang, J. Y.

Zhang, L. L.

Zhang, P.

Appl. Phys. Lett. (4)

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett. 74(9), 1212–1214 (1999).
[CrossRef]

X. F. Yu and S. H. Fan, “Bends and splitters for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 83(16), 3251–3253 (2003).
[CrossRef]

Z. F. Li, H. B. Chen, Z. T. Song, F. H. Yang, and S. L. Feng, “Finite-width waveguide and waveguide intersections for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 85(21), 4834–4836 (2004).
[CrossRef]

S. G. Lee, S. S. Oh, J. E. Kim, H. Y. Park, and C. S. Kee, “Line-defect-induced bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 87(18), 181106 (2005).
[CrossRef]

Electron. Lett. (1)

R. S. Chu and T. Tamir, “Group velocity in space-time periodic media,” Electron. Lett. 7(14), 410–412 (1971).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

J. Witzens, M. Loncar, and A. Scherer, “Self-collimation in planar photonic crystals,” IEEE J. Sel. Top. Quantum Electron. 8(6), 1246–1257 (2002).
[CrossRef]

J. Mod. Opt. (1)

M. Wang, M. J. Yun, W. J. Kong, and C. L. Cui, “Beam splitter and beam bends based on self-collimation effect in two-dimensional photonic crystals,” J. Mod. Opt. 56(10), 1159–1162 (2009).
[CrossRef]

J. Phys. D Appl. Phys. (1)

D. W. Prather, S. Y. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. H. Chen, B. L. Miao, and R. Martin, “Self-collimation in photonic crystal structures: a new paradigm for applications and device development,” J. Phys. D Appl. Phys. 40(9), 2635–2651 (2007).
[CrossRef]

Nat. Mater. (1)

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[CrossRef] [PubMed]

Opt. Express (1)

Opt. Lett. (6)

Phys. Rev. A (1)

V. E. Lobanov, V. A. Vysloukh, and Y. V. Kartashov, “Inhibition of light tunneling for multichannel excitations in longitudinally modulated waveguide arrays,” Phys. Rev. A 81(2), 023803 (2010).
[CrossRef]

Phys. Rev. Lett. (4)

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, V. A. Vysloukh, F. Lederer, and L. Torner, “Inhibition of light tunneling in waveguide arrays,” Phys. Rev. Lett. 102(15), 153901 (2009).
[CrossRef] [PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons,” Phys. Rev. Lett. 90(5), 053902 (2003).
[CrossRef] [PubMed]

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58(23), 2486–2489 (1987).
[CrossRef] [PubMed]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58(20), 2059–2062 (1987).
[CrossRef] [PubMed]

Supplementary Material (1)

» Media 1: AVI (3149 KB)     

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Figures (5)

Fig. 1
Fig. 1

(a) Time-averaged power transmissions along the xdirection. N r represents the number of lattices rows on each side of the light beam. The inset shows the schematic structure of the photonic crystal made of rectangular lattice of air holes introduced in dielectric background. (b) The evolution of three beams launched with an interval of one channel.

Fig. 2
Fig. 2

(a) Schematic diagram of a bend with arbitrary angle θ. The inner radius is b and the radius of the center line R equals to 2.5 b . (b) Transmission as function of bend angles. (c)–(e) Steady-state magnetic field ( H z component) distributions for waveguide bends with angles of θ = 40 o , θ = 90 o , and θ = 135 o , respectively.

Fig. 3
Fig. 3

(a) Schematic diagram of a one-to-two beam splitter. The inner and outer radius of the air grooves are b and 2 b , respectively. (b) Steady-state magnetic field ( H z component) distributions for the splitter.

Fig. 4
Fig. 4

(a) Schematic diagram of a waveguide intersection. (b) Steady-state magnetic field ( H z component) distributions for the intersection.

Fig. 5
Fig. 5

(a) Steady-state magnetic field ( H z component) distributions with wide beam excitation for the (a) 90 o bending (Media 1) and (b) power splitter.

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