Abstract

We investigate discrepancy and similarity in dispersion relations between transverse-electric (TE) and transverse-magnetic (TM) polarizations in rectangular, square and triangular two-dimensional photonic crystals. It is found that the square lattice is the most appropriate candidate to realize polarization-independent, i.e. absolute self-collimation (ASC) in the first photonic band since it possesses not only a relatively broad angular range for self-collimation but also a small difference in dispersion relations between TE and TM modes. By tailoring the shape of air voids in the square-lattice-based structure, the electric-field vector can be rotated to reduce the discrepancy between TE and TM modes whereby the frequency bandwidth of ASC can be enlarged to ~4.8%. The ASC phenomenon is demonstrated by numerical experiments based on a finite-difference time-domain (FDTD) technique with negligible propagation losses.

© 2009 Optical Society of America

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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]
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2008

Yi Xu, Xiao-Jun Chen, Sheng Lan, Qi Guo, Wei Hu, and Li-Jun Wu, "The all-angle self-collimating phenomenon in photonic crystals with rectangular symmetry," J. Opt. A 10085201 (2008).

2007

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

V. Zabelin, L. A. Dunbar, N. Le. Thomas, R. Houdré, M. V. Kotlyar, L. O'Faolain, and T. F. Krauss, "Self-collimating photonic crystal polarization beam splitter," Opt. Lett.,  32, 530-532 (2007).
[CrossRef]

2006

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. SoljaÈiÆ, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimeter-scale supercollimation in a large-area two-dimensional photonic crystal" Nature Mater. 5, 93-96 (2006).
[CrossRef]

2005

L. Wu, M. Mazilu, J. F. Gallet, and T. F. Krauss, "Dual lattice photonic-crystal beam splitters," Appl. Phys. Lett. 86, 211106-211109 (2005).
[CrossRef]

2004

2003

2002

L. Wu, M. Mazilu, T. Karle, and T. F. Krauss, "Superprism Phenomena in Planar Photonic Crystals," IEEE J. Quantum Electron. 38, 915-918 (2002).
[CrossRef]

N. Susa, "Large absolute and polarization-independent photonic band gaps for various lattice structures and rod shapes," J. Appl. Phys. 91, 3501-3510 (2002).
[CrossRef]

Y. Yasha, B. Peter, W. Kazumi, D. Xiaoman, J. D. Joannopoulos, and L. C. Kimerling, "Tunable multichannel optical filter based on silicon photonic band gap materials actuation," Appl. Phys. Lett.,  81, 4112-4114 (2002).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction in a three-dimensionally periodic," Appl. Phys. Lett. 81, 2352-2354 (2002).
[CrossRef]

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

2001

1999

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

1998

H. Kosada, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, 10096-10099 (1998).
[CrossRef]

1987

E. Yablonovitch, "Inhibited spontaneous emission in solidstate 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]

Baba, T.

T. Baba and D. Ohsaki, "Interfaces of photonic crystals for high efficiency light transmission," Jpn. J. Appl.Phys. 40, 5920-5924 (2001).
[CrossRef]

Baek, J. H.

H. G. Park, S. H. Kim, S. H. Kwon, Y. G. Ju, J. K. Yang, J. H. Baek, S. B. Kim, and Y. H. Lee, "Electrically driven single-cell photonic crystal laser," Science 305, 1444-1447 (2004).
[CrossRef]

Borel, P. I.

Chen, C.

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

D. W. Prather, S. Shi, D. M. Pustai, C. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider, and J. Murakowski, "Dispersion-based optical routing in photonic crystals," Opt. Lett. 29, 50-52 (2004).
[CrossRef]

Chigrin, D. N.

Dahlem, M. S.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. SoljaÈiÆ, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimeter-scale supercollimation in a large-area two-dimensional photonic crystal" Nature Mater. 5, 93-96 (2006).
[CrossRef]

Dunbar, L. A.

Enoch, S.

Frandsen, L. H.

Gallet, J. F.

L. Wu, M. Mazilu, J. F. Gallet, and T. F. Krauss, "Dual lattice photonic-crystal beam splitters," Appl. Phys. Lett. 86, 211106-211109 (2005).
[CrossRef]

Harpoth, A.

Ibanescu, M.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. SoljaÈiÆ, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimeter-scale supercollimation in a large-area two-dimensional photonic crystal" Nature Mater. 5, 93-96 (2006).
[CrossRef]

Jensen, J. S.

Joannopoulos, J. D.

Y. Yasha, B. Peter, W. Kazumi, D. Xiaoman, J. D. Joannopoulos, and L. C. Kimerling, "Tunable multichannel optical filter based on silicon photonic band gap materials actuation," Appl. Phys. Lett.,  81, 4112-4114 (2002).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction in a three-dimensionally periodic," Appl. Phys. Lett. 81, 2352-2354 (2002).
[CrossRef]

S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8, 173 (2001), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-8-3-173.

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104(R) (2002).

John, S.

S. John, "Strong Localization of Photons in Certain Disordered Dielectric Superlattices," Phys. Rev. Lett.,  58, 2486-2489 (1987).
[CrossRef]

Johnson, S. G.

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction in a three-dimensionally periodic," Appl. Phys. Lett. 81, 2352-2354 (2002).
[CrossRef]

S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8, 173 (2001), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-8-3-173.

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104(R) (2002).

Ju, Y. G.

H. G. Park, S. H. Kim, S. H. Kwon, Y. G. Ju, J. K. Yang, J. H. Baek, S. B. Kim, and Y. H. Lee, "Electrically driven single-cell photonic crystal laser," Science 305, 1444-1447 (2004).
[CrossRef]

Karle, T.

L. Wu, M. Mazilu, T. Karle, and T. F. Krauss, "Superprism Phenomena in Planar Photonic Crystals," IEEE J. Quantum Electron. 38, 915-918 (2002).
[CrossRef]

Kawakami, S.

H. Kosada, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, 10096-10099 (1998).
[CrossRef]

Kawakamib, S.

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

Kawashima, T.

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

H. Kosada, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, 10096-10099 (1998).
[CrossRef]

Kazumi, W.

Y. Yasha, B. Peter, W. Kazumi, D. Xiaoman, J. D. Joannopoulos, and L. C. Kimerling, "Tunable multichannel optical filter based on silicon photonic band gap materials actuation," Appl. Phys. Lett.,  81, 4112-4114 (2002).
[CrossRef]

Kim, S. B.

H. G. Park, S. H. Kim, S. H. Kwon, Y. G. Ju, J. K. Yang, J. H. Baek, S. B. Kim, and Y. H. Lee, "Electrically driven single-cell photonic crystal laser," Science 305, 1444-1447 (2004).
[CrossRef]

Kim, S. H.

H. G. Park, S. H. Kim, S. H. Kwon, Y. G. Ju, J. K. Yang, J. H. Baek, S. B. Kim, and Y. H. Lee, "Electrically driven single-cell photonic crystal laser," Science 305, 1444-1447 (2004).
[CrossRef]

Kimerling, L. C.

Y. Yasha, B. Peter, W. Kazumi, D. Xiaoman, J. D. Joannopoulos, and L. C. Kimerling, "Tunable multichannel optical filter based on silicon photonic band gap materials actuation," Appl. Phys. Lett.,  81, 4112-4114 (2002).
[CrossRef]

Kosada, H.

H. Kosada, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, 10096-10099 (1998).
[CrossRef]

Kosaka, H.

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

Krauss, T. F.

L. Wu, M. Mazilu, J. F. Gallet, and T. F. Krauss, "Dual lattice photonic-crystal beam splitters," Appl. Phys. Lett. 86, 211106-211109 (2005).
[CrossRef]

L. Wu, M. Mazilu, and T. F. Krauss, "Beam Steering in Planar-Photonic Crystals: From Superprism to Supercollimator," J. Lightwave Technol. 21, 561-566 (2003).
[CrossRef]

L. Wu, M. Mazilu, T. Karle, and T. F. Krauss, "Superprism Phenomena in Planar Photonic Crystals," IEEE J. Quantum Electron. 38, 915-918 (2002).
[CrossRef]

Kristensen, M.

Kwon, S. H.

H. G. Park, S. H. Kim, S. H. Kwon, Y. G. Ju, J. K. Yang, J. H. Baek, S. B. Kim, and Y. H. Lee, "Electrically driven single-cell photonic crystal laser," Science 305, 1444-1447 (2004).
[CrossRef]

Le, N.

Lee, Y. H.

H. G. Park, S. H. Kim, S. H. Kwon, Y. G. Ju, J. K. Yang, J. H. Baek, S. B. Kim, and Y. H. Lee, "Electrically driven single-cell photonic crystal laser," Science 305, 1444-1447 (2004).
[CrossRef]

Loncar, M.

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

Luo, C.

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction in a three-dimensionally periodic," Appl. Phys. Lett. 81, 2352-2354 (2002).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104(R) (2002).

Martin, R.

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

Mazilu, M.

L. Wu, M. Mazilu, J. F. Gallet, and T. F. Krauss, "Dual lattice photonic-crystal beam splitters," Appl. Phys. Lett. 86, 211106-211109 (2005).
[CrossRef]

L. Wu, M. Mazilu, and T. F. Krauss, "Beam Steering in Planar-Photonic Crystals: From Superprism to Supercollimator," J. Lightwave Technol. 21, 561-566 (2003).
[CrossRef]

L. Wu, M. Mazilu, T. Karle, and T. F. Krauss, "Superprism Phenomena in Planar Photonic Crystals," IEEE J. Quantum Electron. 38, 915-918 (2002).
[CrossRef]

Miao, B.

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

Murakowski, J.

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

D. W. Prather, S. Shi, D. M. Pustai, C. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider, and J. Murakowski, "Dispersion-based optical routing in photonic crystals," Opt. Lett. 29, 50-52 (2004).
[CrossRef]

Notomi, M.

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

H. Kosada, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, 10096-10099 (1998).
[CrossRef]

Ohsaki, D.

T. Baba and D. Ohsaki, "Interfaces of photonic crystals for high efficiency light transmission," Jpn. J. Appl.Phys. 40, 5920-5924 (2001).
[CrossRef]

Park, H. G.

H. G. Park, S. H. Kim, S. H. Kwon, Y. G. Ju, J. K. Yang, J. H. Baek, S. B. Kim, and Y. H. Lee, "Electrically driven single-cell photonic crystal laser," Science 305, 1444-1447 (2004).
[CrossRef]

Pendry, J. B.

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction in a three-dimensionally periodic," Appl. Phys. Lett. 81, 2352-2354 (2002).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104(R) (2002).

Peter, B.

Y. Yasha, B. Peter, W. Kazumi, D. Xiaoman, J. D. Joannopoulos, and L. C. Kimerling, "Tunable multichannel optical filter based on silicon photonic band gap materials actuation," Appl. Phys. Lett.,  81, 4112-4114 (2002).
[CrossRef]

Prather, D. W.

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

D. W. Prather, S. Shi, D. M. Pustai, C. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider, and J. Murakowski, "Dispersion-based optical routing in photonic crystals," Opt. Lett. 29, 50-52 (2004).
[CrossRef]

Pustai, D. M.

Rakich, P. T.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. SoljaÈiÆ, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimeter-scale supercollimation in a large-area two-dimensional photonic crystal" Nature Mater. 5, 93-96 (2006).
[CrossRef]

Sato, T.

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

H. Kosada, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, 10096-10099 (1998).
[CrossRef]

Schere, A.

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

Schneider, G. J.

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

D. W. Prather, S. Shi, D. M. Pustai, C. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider, and J. Murakowski, "Dispersion-based optical routing in photonic crystals," Opt. Lett. 29, 50-52 (2004).
[CrossRef]

Sharkawy, A.

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

D. W. Prather, S. Shi, D. M. Pustai, C. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider, and J. Murakowski, "Dispersion-based optical routing in photonic crystals," Opt. Lett. 29, 50-52 (2004).
[CrossRef]

Shi, S.

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

D. W. Prather, S. Shi, D. M. Pustai, C. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider, and J. Murakowski, "Dispersion-based optical routing in photonic crystals," Opt. Lett. 29, 50-52 (2004).
[CrossRef]

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N. Susa, "Large absolute and polarization-independent photonic band gaps for various lattice structures and rod shapes," J. Appl. Phys. 91, 3501-3510 (2002).
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H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakamib, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999).
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H. Kosada, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, 10096-10099 (1998).
[CrossRef]

Tandon, S.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. SoljaÈiÆ, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimeter-scale supercollimation in a large-area two-dimensional photonic crystal" Nature Mater. 5, 93-96 (2006).
[CrossRef]

Tayeb, G.

Tomita, A.

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

H. Kosada, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, 10096-10099 (1998).
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Torres, C. M. S.

Venkataraman, S.

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J. Witzens, M. Loncar, and A. Schere, "Self-collimation in planar photonic crystals," IEEE J. Sel. Top. Quantum Electron. 8, 1246-1257 (2002).
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Wu, L.

L. Wu, M. Mazilu, J. F. Gallet, and T. F. Krauss, "Dual lattice photonic-crystal beam splitters," Appl. Phys. Lett. 86, 211106-211109 (2005).
[CrossRef]

L. Wu, M. Mazilu, and T. F. Krauss, "Beam Steering in Planar-Photonic Crystals: From Superprism to Supercollimator," J. Lightwave Technol. 21, 561-566 (2003).
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L. Wu, M. Mazilu, T. Karle, and T. F. Krauss, "Superprism Phenomena in Planar Photonic Crystals," IEEE J. Quantum Electron. 38, 915-918 (2002).
[CrossRef]

Xiaoman, D.

Y. Yasha, B. Peter, W. Kazumi, D. Xiaoman, J. D. Joannopoulos, and L. C. Kimerling, "Tunable multichannel optical filter based on silicon photonic band gap materials actuation," Appl. Phys. Lett.,  81, 4112-4114 (2002).
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E. Yablonovitch, "Inhibited spontaneous emission in solidstate physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef]

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H. G. Park, S. H. Kim, S. H. Kwon, Y. G. Ju, J. K. Yang, J. H. Baek, S. B. Kim, and Y. H. Lee, "Electrically driven single-cell photonic crystal laser," Science 305, 1444-1447 (2004).
[CrossRef]

Yasha, Y.

Y. Yasha, B. Peter, W. Kazumi, D. Xiaoman, J. D. Joannopoulos, and L. C. Kimerling, "Tunable multichannel optical filter based on silicon photonic band gap materials actuation," Appl. Phys. Lett.,  81, 4112-4114 (2002).
[CrossRef]

Zabelin, V.

Appl. Phys. Lett.

Y. Yasha, B. Peter, W. Kazumi, D. Xiaoman, J. D. Joannopoulos, and L. C. Kimerling, "Tunable multichannel optical filter based on silicon photonic band gap materials actuation," Appl. Phys. Lett.,  81, 4112-4114 (2002).
[CrossRef]

L. Wu, M. Mazilu, J. F. Gallet, and T. F. Krauss, "Dual lattice photonic-crystal beam splitters," Appl. Phys. Lett. 86, 211106-211109 (2005).
[CrossRef]

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

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction in a three-dimensionally periodic," Appl. Phys. Lett. 81, 2352-2354 (2002).
[CrossRef]

IEEE J. Quantum Electron.

L. Wu, M. Mazilu, T. Karle, and T. F. Krauss, "Superprism Phenomena in Planar Photonic Crystals," IEEE J. Quantum Electron. 38, 915-918 (2002).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

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

J. Appl. Phys.

N. Susa, "Large absolute and polarization-independent photonic band gaps for various lattice structures and rod shapes," J. Appl. Phys. 91, 3501-3510 (2002).
[CrossRef]

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J. Opt. A

Yi Xu, Xiao-Jun Chen, Sheng Lan, Qi Guo, Wei Hu, and Li-Jun Wu, "The all-angle self-collimating phenomenon in photonic crystals with rectangular symmetry," J. Opt. A 10085201 (2008).

J. Phys. D

D. W. Prather, S. Shi, J. Murakowski, G. J. Schneider, A. Sharkawy, C. Chen, B. Miao, and R. Martin, "Self-collimation in photonic crystal structures: a new paradigm for applications and device development," J. Phys. D 40, 2635-2651 (2007).
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T. Baba and D. Ohsaki, "Interfaces of photonic crystals for high efficiency light transmission," Jpn. J. Appl.Phys. 40, 5920-5924 (2001).
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P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. SoljaÈiÆ, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimeter-scale supercollimation in a large-area two-dimensional photonic crystal" Nature Mater. 5, 93-96 (2006).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. B

H. Kosada, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, 10096-10099 (1998).
[CrossRef]

Phys. Rev. Lett.

E. Yablonovitch, "Inhibited spontaneous emission in solidstate 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]

Science

H. G. Park, S. H. Kim, S. H. Kwon, Y. G. Ju, J. K. Yang, J. H. Baek, S. B. Kim, and Y. H. Lee, "Electrically driven single-cell photonic crystal laser," Science 305, 1444-1447 (2004).
[CrossRef]

Other

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104(R) (2002).

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, Princeton, 1995).

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