Abstract

We propose a novel photonic crystal waveguide design with defects at the termination to provoke directional emission. Because the resulting optical field distribution at the waveguide exit resembles a triple point source, the light can emit with low angular divergence. This phenomenon appears both in photonic crystal structures formed by dielectric rods as well as by air holes.

© 2006 Optical Society of America

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  1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals, (Princeton University Press, Princeton, NJ, 1995).
  2. C. J. M. Smith, H. Benisty,S. Olivier, M. Rattier, C. Weisbuch,T. F. Krauss, R. M. De La Rue, R. Houdré and U. Oesterle, "Low-loss channel waveguides with two-dimensional photonic crystal boundaries," Appl. Phys. Lett. 77, 2813-2815, (2000).
    [CrossRef]
  3. S. Lo, M. Wang, and C. Chen, "Semiconductor hollow optical waveguides formed by omni-directional reflectors," Opt. Express 12,6589-6593 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-26-6589.
    [CrossRef] [PubMed]
  4. R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, A. Tünnermann, "Diffractionless propagation of light in a low-index photonic-crystal film," Appl. Phys. Lett. 85, 5854-5856 (2004).
    [CrossRef]
  5. W. Y. Chen, W. H. Chang, H. S. Chang, T. M. Hsu, C. C. Lee, C. C. Chen, P. G. Luan, J. Y. Chang, T. P. Hsieh, J. I. Chyi, "Enhanced light emission from InAs quantum dots in single-defect photonic crystal microcavities at room temperature," Appl. Phys. Lett. 87, 071111 (2005).
    [CrossRef]
  6. Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A Dielectric Omnidirectional Reflector," Science 282, 1679-1682 (1998).
    [CrossRef] [PubMed]
  7. C. Luo, S. G. Johnson, J. D. Joannopoulos, J.B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B. 65, 201104 (2002).
    [CrossRef]
  8. H. T. Chien, H. T. Tang, C. H. Kuo, C. C. Chen, Z. Ye, "Directed diffraction without negative refraction," Phys. Rev. B. 70, 113101 (2004).
    [CrossRef]
  9. E. Moreno, F. J. García, L. Martín-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B 69, 121402 (2004).
    [CrossRef]
  10. P. Kramper, M. Agio, C.M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
    [CrossRef] [PubMed]
  11. S. K. Morrison, Y. S. Kivshar, "Engineering of directional emission from photonic-crystal waveguides", Appl. Phys. Lett. 86, 081110 (2005).
    [CrossRef]
  12. J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band-gap materials," J. Mod. Opt. 41, 257-273 (1994)
    [CrossRef]
  13. I. Bulu, H. Caglayan, and E. Ozbay, "Beaming of light and enhanced transmission via surface modes of photonic crystals," Opt. Lett. 30, 3078-3080 (2005).
    [CrossRef] [PubMed]
  14. A. Sugitatsu, T. Asano, S. Noda, "Line-defect-waveguide laser integrated with a point defect in a two-dimensional photonic crystal slab," Appl. Phys. Lett. 86, 171106 (2005).
    [CrossRef]
  15. C. Chen, C. Chen, W. Wang, F. Huang, C. Lin, W. Chiu, and Y. Chan, "Photonic crystal directional couplers formed by InAlGaAs nano-rods," Opt. Express 13, 38-43 (2005). http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-1-38
    [CrossRef] [PubMed]
  16. D. H. Chien, C. H. Tsai, S. S. Lo, C. C. Chen, J. Y. Chang. "Solid immersion lenses in planar waveguides," IEEE J. Lightwave Technol. 23, 2746-2748 (2005).
    [CrossRef]
  17. M. Garter, J. Scoflied, R. Birkhahn, and A. J. Steckl,"Visible and infrared rare-earth-activated electroluminescence from indium tin oxide Schottky diodes to GaN:Er on Si," Appl. Phys. Lett. 74, 182-184 (1999).
    [CrossRef]

2005 (6)

W. Y. Chen, W. H. Chang, H. S. Chang, T. M. Hsu, C. C. Lee, C. C. Chen, P. G. Luan, J. Y. Chang, T. P. Hsieh, J. I. Chyi, "Enhanced light emission from InAs quantum dots in single-defect photonic crystal microcavities at room temperature," Appl. Phys. Lett. 87, 071111 (2005).
[CrossRef]

S. K. Morrison, Y. S. Kivshar, "Engineering of directional emission from photonic-crystal waveguides", Appl. Phys. Lett. 86, 081110 (2005).
[CrossRef]

A. Sugitatsu, T. Asano, S. Noda, "Line-defect-waveguide laser integrated with a point defect in a two-dimensional photonic crystal slab," Appl. Phys. Lett. 86, 171106 (2005).
[CrossRef]

D. H. Chien, C. H. Tsai, S. S. Lo, C. C. Chen, J. Y. Chang. "Solid immersion lenses in planar waveguides," IEEE J. Lightwave Technol. 23, 2746-2748 (2005).
[CrossRef]

C. Chen, C. Chen, W. Wang, F. Huang, C. Lin, W. Chiu, and Y. Chan, "Photonic crystal directional couplers formed by InAlGaAs nano-rods," Opt. Express 13, 38-43 (2005). http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-1-38
[CrossRef] [PubMed]

I. Bulu, H. Caglayan, and E. Ozbay, "Beaming of light and enhanced transmission via surface modes of photonic crystals," Opt. Lett. 30, 3078-3080 (2005).
[CrossRef] [PubMed]

2004 (5)

S. Lo, M. Wang, and C. Chen, "Semiconductor hollow optical waveguides formed by omni-directional reflectors," Opt. Express 12,6589-6593 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-26-6589.
[CrossRef] [PubMed]

H. T. Chien, H. T. Tang, C. H. Kuo, C. C. Chen, Z. Ye, "Directed diffraction without negative refraction," Phys. Rev. B. 70, 113101 (2004).
[CrossRef]

E. Moreno, F. J. García, L. Martín-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B 69, 121402 (2004).
[CrossRef]

P. Kramper, M. Agio, C.M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, A. Tünnermann, "Diffractionless propagation of light in a low-index photonic-crystal film," Appl. Phys. Lett. 85, 5854-5856 (2004).
[CrossRef]

2002 (1)

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

2000 (1)

C. J. M. Smith, H. Benisty,S. Olivier, M. Rattier, C. Weisbuch,T. F. Krauss, R. M. De La Rue, R. Houdré and U. Oesterle, "Low-loss channel waveguides with two-dimensional photonic crystal boundaries," Appl. Phys. Lett. 77, 2813-2815, (2000).
[CrossRef]

1999 (1)

M. Garter, J. Scoflied, R. Birkhahn, and A. J. Steckl,"Visible and infrared rare-earth-activated electroluminescence from indium tin oxide Schottky diodes to GaN:Er on Si," Appl. Phys. Lett. 74, 182-184 (1999).
[CrossRef]

1998 (1)

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A Dielectric Omnidirectional Reflector," Science 282, 1679-1682 (1998).
[CrossRef] [PubMed]

1994 (1)

J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band-gap materials," J. Mod. Opt. 41, 257-273 (1994)
[CrossRef]

Agio, M.

P. Kramper, M. Agio, C.M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Asano, T.

A. Sugitatsu, T. Asano, S. Noda, "Line-defect-waveguide laser integrated with a point defect in a two-dimensional photonic crystal slab," Appl. Phys. Lett. 86, 171106 (2005).
[CrossRef]

Augustin, M.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, A. Tünnermann, "Diffractionless propagation of light in a low-index photonic-crystal film," Appl. Phys. Lett. 85, 5854-5856 (2004).
[CrossRef]

Benisty, H.

C. J. M. Smith, H. Benisty,S. Olivier, M. Rattier, C. Weisbuch,T. F. Krauss, R. M. De La Rue, R. Houdré and U. Oesterle, "Low-loss channel waveguides with two-dimensional photonic crystal boundaries," Appl. Phys. Lett. 77, 2813-2815, (2000).
[CrossRef]

Birkhahn, R.

M. Garter, J. Scoflied, R. Birkhahn, and A. J. Steckl,"Visible and infrared rare-earth-activated electroluminescence from indium tin oxide Schottky diodes to GaN:Er on Si," Appl. Phys. Lett. 74, 182-184 (1999).
[CrossRef]

Birner, A.

P. Kramper, M. Agio, C.M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Bulu, I.

Caglayan, H.

Chan, Y.

Chang, H. S.

W. Y. Chen, W. H. Chang, H. S. Chang, T. M. Hsu, C. C. Lee, C. C. Chen, P. G. Luan, J. Y. Chang, T. P. Hsieh, J. I. Chyi, "Enhanced light emission from InAs quantum dots in single-defect photonic crystal microcavities at room temperature," Appl. Phys. Lett. 87, 071111 (2005).
[CrossRef]

Chang, J. Y.

W. Y. Chen, W. H. Chang, H. S. Chang, T. M. Hsu, C. C. Lee, C. C. Chen, P. G. Luan, J. Y. Chang, T. P. Hsieh, J. I. Chyi, "Enhanced light emission from InAs quantum dots in single-defect photonic crystal microcavities at room temperature," Appl. Phys. Lett. 87, 071111 (2005).
[CrossRef]

D. H. Chien, C. H. Tsai, S. S. Lo, C. C. Chen, J. Y. Chang. "Solid immersion lenses in planar waveguides," IEEE J. Lightwave Technol. 23, 2746-2748 (2005).
[CrossRef]

Chang, W. H.

W. Y. Chen, W. H. Chang, H. S. Chang, T. M. Hsu, C. C. Lee, C. C. Chen, P. G. Luan, J. Y. Chang, T. P. Hsieh, J. I. Chyi, "Enhanced light emission from InAs quantum dots in single-defect photonic crystal microcavities at room temperature," Appl. Phys. Lett. 87, 071111 (2005).
[CrossRef]

Chen, C.

Chen, C. C.

W. Y. Chen, W. H. Chang, H. S. Chang, T. M. Hsu, C. C. Lee, C. C. Chen, P. G. Luan, J. Y. Chang, T. P. Hsieh, J. I. Chyi, "Enhanced light emission from InAs quantum dots in single-defect photonic crystal microcavities at room temperature," Appl. Phys. Lett. 87, 071111 (2005).
[CrossRef]

D. H. Chien, C. H. Tsai, S. S. Lo, C. C. Chen, J. Y. Chang. "Solid immersion lenses in planar waveguides," IEEE J. Lightwave Technol. 23, 2746-2748 (2005).
[CrossRef]

H. T. Chien, H. T. Tang, C. H. Kuo, C. C. Chen, Z. Ye, "Directed diffraction without negative refraction," Phys. Rev. B. 70, 113101 (2004).
[CrossRef]

Chen, W. Y.

W. Y. Chen, W. H. Chang, H. S. Chang, T. M. Hsu, C. C. Lee, C. C. Chen, P. G. Luan, J. Y. Chang, T. P. Hsieh, J. I. Chyi, "Enhanced light emission from InAs quantum dots in single-defect photonic crystal microcavities at room temperature," Appl. Phys. Lett. 87, 071111 (2005).
[CrossRef]

Chien, D. H.

D. H. Chien, C. H. Tsai, S. S. Lo, C. C. Chen, J. Y. Chang. "Solid immersion lenses in planar waveguides," IEEE J. Lightwave Technol. 23, 2746-2748 (2005).
[CrossRef]

Chien, H. T.

H. T. Chien, H. T. Tang, C. H. Kuo, C. C. Chen, Z. Ye, "Directed diffraction without negative refraction," Phys. Rev. B. 70, 113101 (2004).
[CrossRef]

Chiu, W.

Chyi, J. I.

W. Y. Chen, W. H. Chang, H. S. Chang, T. M. Hsu, C. C. Lee, C. C. Chen, P. G. Luan, J. Y. Chang, T. P. Hsieh, J. I. Chyi, "Enhanced light emission from InAs quantum dots in single-defect photonic crystal microcavities at room temperature," Appl. Phys. Lett. 87, 071111 (2005).
[CrossRef]

De La Rue, R. M.

C. J. M. Smith, H. Benisty,S. Olivier, M. Rattier, C. Weisbuch,T. F. Krauss, R. M. De La Rue, R. Houdré and U. Oesterle, "Low-loss channel waveguides with two-dimensional photonic crystal boundaries," Appl. Phys. Lett. 77, 2813-2815, (2000).
[CrossRef]

Etrich, C.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, A. Tünnermann, "Diffractionless propagation of light in a low-index photonic-crystal film," Appl. Phys. Lett. 85, 5854-5856 (2004).
[CrossRef]

Fan, S.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A Dielectric Omnidirectional Reflector," Science 282, 1679-1682 (1998).
[CrossRef] [PubMed]

Fink, Y.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A Dielectric Omnidirectional Reflector," Science 282, 1679-1682 (1998).
[CrossRef] [PubMed]

Fuchs, H.-J.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, A. Tünnermann, "Diffractionless propagation of light in a low-index photonic-crystal film," Appl. Phys. Lett. 85, 5854-5856 (2004).
[CrossRef]

García, F. J.

E. Moreno, F. J. García, L. Martín-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B 69, 121402 (2004).
[CrossRef]

Garter, M.

M. Garter, J. Scoflied, R. Birkhahn, and A. J. Steckl,"Visible and infrared rare-earth-activated electroluminescence from indium tin oxide Schottky diodes to GaN:Er on Si," Appl. Phys. Lett. 74, 182-184 (1999).
[CrossRef]

Gösele, U.

P. Kramper, M. Agio, C.M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Houdré, R.

C. J. M. Smith, H. Benisty,S. Olivier, M. Rattier, C. Weisbuch,T. F. Krauss, R. M. De La Rue, R. Houdré and U. Oesterle, "Low-loss channel waveguides with two-dimensional photonic crystal boundaries," Appl. Phys. Lett. 77, 2813-2815, (2000).
[CrossRef]

Hsieh, T. P.

W. Y. Chen, W. H. Chang, H. S. Chang, T. M. Hsu, C. C. Lee, C. C. Chen, P. G. Luan, J. Y. Chang, T. P. Hsieh, J. I. Chyi, "Enhanced light emission from InAs quantum dots in single-defect photonic crystal microcavities at room temperature," Appl. Phys. Lett. 87, 071111 (2005).
[CrossRef]

Hsu, T. M.

W. Y. Chen, W. H. Chang, H. S. Chang, T. M. Hsu, C. C. Lee, C. C. Chen, P. G. Luan, J. Y. Chang, T. P. Hsieh, J. I. Chyi, "Enhanced light emission from InAs quantum dots in single-defect photonic crystal microcavities at room temperature," Appl. Phys. Lett. 87, 071111 (2005).
[CrossRef]

Huang, F.

Iliew, R.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, A. Tünnermann, "Diffractionless propagation of light in a low-index photonic-crystal film," Appl. Phys. Lett. 85, 5854-5856 (2004).
[CrossRef]

Joannopoulos, J. D.

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

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A Dielectric Omnidirectional Reflector," Science 282, 1679-1682 (1998).
[CrossRef] [PubMed]

J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band-gap materials," J. Mod. Opt. 41, 257-273 (1994)
[CrossRef]

Johnson, S. G.

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

Kivshar, Y. S.

S. K. Morrison, Y. S. Kivshar, "Engineering of directional emission from photonic-crystal waveguides", Appl. Phys. Lett. 86, 081110 (2005).
[CrossRef]

Kley, E.-B.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, A. Tünnermann, "Diffractionless propagation of light in a low-index photonic-crystal film," Appl. Phys. Lett. 85, 5854-5856 (2004).
[CrossRef]

Kramper, P.

P. Kramper, M. Agio, C.M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Krauss, T. F.

C. J. M. Smith, H. Benisty,S. Olivier, M. Rattier, C. Weisbuch,T. F. Krauss, R. M. De La Rue, R. Houdré and U. Oesterle, "Low-loss channel waveguides with two-dimensional photonic crystal boundaries," Appl. Phys. Lett. 77, 2813-2815, (2000).
[CrossRef]

Kuo, C. H.

H. T. Chien, H. T. Tang, C. H. Kuo, C. C. Chen, Z. Ye, "Directed diffraction without negative refraction," Phys. Rev. B. 70, 113101 (2004).
[CrossRef]

Lederer, F.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, A. Tünnermann, "Diffractionless propagation of light in a low-index photonic-crystal film," Appl. Phys. Lett. 85, 5854-5856 (2004).
[CrossRef]

Lee, C. C.

W. Y. Chen, W. H. Chang, H. S. Chang, T. M. Hsu, C. C. Lee, C. C. Chen, P. G. Luan, J. Y. Chang, T. P. Hsieh, J. I. Chyi, "Enhanced light emission from InAs quantum dots in single-defect photonic crystal microcavities at room temperature," Appl. Phys. Lett. 87, 071111 (2005).
[CrossRef]

Lin, C.

Lo, S.

Lo, S. S.

D. H. Chien, C. H. Tsai, S. S. Lo, C. C. Chen, J. Y. Chang. "Solid immersion lenses in planar waveguides," IEEE J. Lightwave Technol. 23, 2746-2748 (2005).
[CrossRef]

Luan, P. G.

W. Y. Chen, W. H. Chang, H. S. Chang, T. M. Hsu, C. C. Lee, C. C. Chen, P. G. Luan, J. Y. Chang, T. P. Hsieh, J. I. Chyi, "Enhanced light emission from InAs quantum dots in single-defect photonic crystal microcavities at room temperature," Appl. Phys. Lett. 87, 071111 (2005).
[CrossRef]

Luo, C.

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

Martín-Moreno, L.

E. Moreno, F. J. García, L. Martín-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B 69, 121402 (2004).
[CrossRef]

Meade, R. D.

J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band-gap materials," J. Mod. Opt. 41, 257-273 (1994)
[CrossRef]

Michel, J.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A Dielectric Omnidirectional Reflector," Science 282, 1679-1682 (1998).
[CrossRef] [PubMed]

Moreno, E.

E. Moreno, F. J. García, L. Martín-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B 69, 121402 (2004).
[CrossRef]

Morrison, S. K.

S. K. Morrison, Y. S. Kivshar, "Engineering of directional emission from photonic-crystal waveguides", Appl. Phys. Lett. 86, 081110 (2005).
[CrossRef]

Müller, F.

P. Kramper, M. Agio, C.M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Noda, S.

A. Sugitatsu, T. Asano, S. Noda, "Line-defect-waveguide laser integrated with a point defect in a two-dimensional photonic crystal slab," Appl. Phys. Lett. 86, 171106 (2005).
[CrossRef]

Nolte, S.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, A. Tünnermann, "Diffractionless propagation of light in a low-index photonic-crystal film," Appl. Phys. Lett. 85, 5854-5856 (2004).
[CrossRef]

Oesterle, U.

C. J. M. Smith, H. Benisty,S. Olivier, M. Rattier, C. Weisbuch,T. F. Krauss, R. M. De La Rue, R. Houdré and U. Oesterle, "Low-loss channel waveguides with two-dimensional photonic crystal boundaries," Appl. Phys. Lett. 77, 2813-2815, (2000).
[CrossRef]

Olivier, S.

C. J. M. Smith, H. Benisty,S. Olivier, M. Rattier, C. Weisbuch,T. F. Krauss, R. M. De La Rue, R. Houdré and U. Oesterle, "Low-loss channel waveguides with two-dimensional photonic crystal boundaries," Appl. Phys. Lett. 77, 2813-2815, (2000).
[CrossRef]

Ozbay, E.

Pendry, J.B.

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

Peschel, U.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, A. Tünnermann, "Diffractionless propagation of light in a low-index photonic-crystal film," Appl. Phys. Lett. 85, 5854-5856 (2004).
[CrossRef]

Rattier, M.

C. J. M. Smith, H. Benisty,S. Olivier, M. Rattier, C. Weisbuch,T. F. Krauss, R. M. De La Rue, R. Houdré and U. Oesterle, "Low-loss channel waveguides with two-dimensional photonic crystal boundaries," Appl. Phys. Lett. 77, 2813-2815, (2000).
[CrossRef]

Sandoghdar, V.

P. Kramper, M. Agio, C.M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Schelle, D.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, A. Tünnermann, "Diffractionless propagation of light in a low-index photonic-crystal film," Appl. Phys. Lett. 85, 5854-5856 (2004).
[CrossRef]

Scoflied, J.

M. Garter, J. Scoflied, R. Birkhahn, and A. J. Steckl,"Visible and infrared rare-earth-activated electroluminescence from indium tin oxide Schottky diodes to GaN:Er on Si," Appl. Phys. Lett. 74, 182-184 (1999).
[CrossRef]

Smith, C. J. M.

C. J. M. Smith, H. Benisty,S. Olivier, M. Rattier, C. Weisbuch,T. F. Krauss, R. M. De La Rue, R. Houdré and U. Oesterle, "Low-loss channel waveguides with two-dimensional photonic crystal boundaries," Appl. Phys. Lett. 77, 2813-2815, (2000).
[CrossRef]

Soukoulis, C.M.

P. Kramper, M. Agio, C.M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Steckl, A. J.

M. Garter, J. Scoflied, R. Birkhahn, and A. J. Steckl,"Visible and infrared rare-earth-activated electroluminescence from indium tin oxide Schottky diodes to GaN:Er on Si," Appl. Phys. Lett. 74, 182-184 (1999).
[CrossRef]

Sugitatsu, A.

A. Sugitatsu, T. Asano, S. Noda, "Line-defect-waveguide laser integrated with a point defect in a two-dimensional photonic crystal slab," Appl. Phys. Lett. 86, 171106 (2005).
[CrossRef]

Tang, H. T.

H. T. Chien, H. T. Tang, C. H. Kuo, C. C. Chen, Z. Ye, "Directed diffraction without negative refraction," Phys. Rev. B. 70, 113101 (2004).
[CrossRef]

Thomas, E. L.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A Dielectric Omnidirectional Reflector," Science 282, 1679-1682 (1998).
[CrossRef] [PubMed]

Tsai, C. H.

D. H. Chien, C. H. Tsai, S. S. Lo, C. C. Chen, J. Y. Chang. "Solid immersion lenses in planar waveguides," IEEE J. Lightwave Technol. 23, 2746-2748 (2005).
[CrossRef]

Tünnermann, A.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, A. Tünnermann, "Diffractionless propagation of light in a low-index photonic-crystal film," Appl. Phys. Lett. 85, 5854-5856 (2004).
[CrossRef]

Wang, M.

Wang, W.

Wehrspohn, R. B.

P. Kramper, M. Agio, C.M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Weisbuch, C.

C. J. M. Smith, H. Benisty,S. Olivier, M. Rattier, C. Weisbuch,T. F. Krauss, R. M. De La Rue, R. Houdré and U. Oesterle, "Low-loss channel waveguides with two-dimensional photonic crystal boundaries," Appl. Phys. Lett. 77, 2813-2815, (2000).
[CrossRef]

Winn, J. N.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A Dielectric Omnidirectional Reflector," Science 282, 1679-1682 (1998).
[CrossRef] [PubMed]

J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band-gap materials," J. Mod. Opt. 41, 257-273 (1994)
[CrossRef]

Ye, Z.

H. T. Chien, H. T. Tang, C. H. Kuo, C. C. Chen, Z. Ye, "Directed diffraction without negative refraction," Phys. Rev. B. 70, 113101 (2004).
[CrossRef]

Appl. Phys. Lett. (6)

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, A. Tünnermann, "Diffractionless propagation of light in a low-index photonic-crystal film," Appl. Phys. Lett. 85, 5854-5856 (2004).
[CrossRef]

W. Y. Chen, W. H. Chang, H. S. Chang, T. M. Hsu, C. C. Lee, C. C. Chen, P. G. Luan, J. Y. Chang, T. P. Hsieh, J. I. Chyi, "Enhanced light emission from InAs quantum dots in single-defect photonic crystal microcavities at room temperature," Appl. Phys. Lett. 87, 071111 (2005).
[CrossRef]

S. K. Morrison, Y. S. Kivshar, "Engineering of directional emission from photonic-crystal waveguides", Appl. Phys. Lett. 86, 081110 (2005).
[CrossRef]

M. Garter, J. Scoflied, R. Birkhahn, and A. J. Steckl,"Visible and infrared rare-earth-activated electroluminescence from indium tin oxide Schottky diodes to GaN:Er on Si," Appl. Phys. Lett. 74, 182-184 (1999).
[CrossRef]

C. J. M. Smith, H. Benisty,S. Olivier, M. Rattier, C. Weisbuch,T. F. Krauss, R. M. De La Rue, R. Houdré and U. Oesterle, "Low-loss channel waveguides with two-dimensional photonic crystal boundaries," Appl. Phys. Lett. 77, 2813-2815, (2000).
[CrossRef]

A. Sugitatsu, T. Asano, S. Noda, "Line-defect-waveguide laser integrated with a point defect in a two-dimensional photonic crystal slab," Appl. Phys. Lett. 86, 171106 (2005).
[CrossRef]

IEEE J. Lightwave Technol. (1)

D. H. Chien, C. H. Tsai, S. S. Lo, C. C. Chen, J. Y. Chang. "Solid immersion lenses in planar waveguides," IEEE J. Lightwave Technol. 23, 2746-2748 (2005).
[CrossRef]

J. Mod. Opt. (1)

J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band-gap materials," J. Mod. Opt. 41, 257-273 (1994)
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Phys. Rev. B (1)

E. Moreno, F. J. García, L. Martín-Moreno, "Enhanced transmission and beaming of light via photonic crystal surface modes," Phys. Rev. B 69, 121402 (2004).
[CrossRef]

Phys. Rev. B. (2)

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

H. T. Chien, H. T. Tang, C. H. Kuo, C. C. Chen, Z. Ye, "Directed diffraction without negative refraction," Phys. Rev. B. 70, 113101 (2004).
[CrossRef]

Phys. Rev. Lett. (1)

P. Kramper, M. Agio, C.M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett. 92, 113903 (2004).
[CrossRef] [PubMed]

Science (1)

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A Dielectric Omnidirectional Reflector," Science 282, 1679-1682 (1998).
[CrossRef] [PubMed]

Other (1)

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

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Figures (3)

Fig. 1.
Fig. 1.

Optical field distribution of the waveguide (a) with defects and (b) without defect. (c) Spectrum obtained by the detectors at the angles of from 0° to 70° and the ratio of the intensity received by the detectors at the angles of 0° and 30° (d) Intensity distribution v.s. angle plot

Fig. 2.
Fig. 2.

(a) Optical field distribution at the output port of the waveguide with defects at the positions of (2a, 3a) and (-2a, 3a) (b) Optical field distribution emitted from three point sources in free space. The distance between the point sources is 2a. (c) Optical field distribution at the output port of the waveguide with defects at the positions of (4a, 3a), (2a, 3a), (-2a, 3a) and (-4a, 3a) (d) Ratio of the field amplitude received by the detectors at 0° and 30°. (e) Angular intensity distribution of the output light (f) Optical field distribution at the output port of the waveguide with defects at the positions of (3a, 3a) and (-3a, 3a) (g) Ratio of the field amplitude received by the detectors at 0° and 30°. (h) Angular intensity distribution of the output light.

Fig. 3.
Fig. 3.

(a) Directional emitting beam from the waveguide in PC structure formed by hexagonally arranged air-holes. (b) Optical field distribution at the PC waveguide output.

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