Abstract

The parametric analysis of the electromagnetic properties of 2D guided wave photonic band gap structures is reported with the aim of providing a valid tool for the optimal design. The modelling approach is based on the Bloch-Floquet method. Different lattice configurations and geometrical parameters are considered. An optimum value for the ratio between the hole (or rod) radius and the lattice constant does exist and the calculation demonstrated that it is almost independent from the etching depth, only depending on the lattice type. The results are suitable for the design optimisation of photonic crystal reflectors to be used in integrated optical devices.

©2005 Optical Society of America

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References

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  1. N. Ikeda , Y. Sugimoto , Y. Tanaka , K. Inoue , and K. Asakawa , “ Low propagation posses in single-line-defect photonic crystal waveguides on GaAs membranes ,” IEEE J. Sel. Areas Commun.   23 , 1315 – 1320 ( 2005 ).
    [Crossref]
  2. Y. Tanaka , T. Asano , R. Hatsuta , and S. Noda , “ Analysis of a line-defect waveguide on a silicon-on-insulator two-dimensional photonic-crystal slab ,” J. Lightwave Technol.   22 , 2787 – 2792 ( 2004 ).
    [Crossref]
  3. M. Koshiba , “ Wavelength division multiplexing and demultiplexing with photonic crystal waveguide couplers ,” J. Lightwave Technol.   19 , 1970 – 1975 ( 2001 ).
    [Crossref]
  4. J. Smajic , C. Hafner , and D. Erni , “ On the design of photonic crystal multiplexers ,” Opt. Express   11 , 566 – 571 ( 2003 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-6-566 .
    [Crossref] [PubMed]
  5. M. Loncar , T. Yoshie , Y. Qiu , P. Gogna , and A. Scherer , “ Low-threshold photonic crystal laser ,” Proc. SPIE   5000 , 16 – 26 ( 2003 ).
    [Crossref]
  6. M. Rattier , T. F. Krauss , J.-F. Carlin , R. Stanley , U. Oesterle , R. Houdrè , C. J. M. Smith , R. M. De La Rue , H. Benisty , and C. Weisbuch , “ High extraction efficiency, laterally injected, light emitting diodes combining microcavities and photonic crystals ,” Opt. and Quantum Electron.   34 , 79 – 89 ( 2002 ).
    [Crossref]
  7. H.-Y. Ryu , S.-H. Kwon , Y.-J. Lee , Y.-H. Lee , and J.-S. Kim , “ Very-low-threshold photonic band-edge lasers from free-standing triangular photonic crystal slabs ,” Appl. Phys. Lett.   80 , 3476 – 3478 ( 2002 ).
    [Crossref]
  8. K. Sakoda , “ Low-threshold laser oscillation due to group-velocity anomaly peculiar to two- and three-dimensional photonic crystals ,” Opt. Express   4 , 481 – 489 ( 1999 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-4-12-481 .
    [Crossref] [PubMed]
  9. A. Lupu , E. Cassan , S. Laval , L. El Melhaoui , P. Lyan , and J. M. Fedeli , “ Experimental evidence for superprism phenomena in SOI photonic crystals ,” Opt. Express   23 , 5690 – 5696 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-23-5690 .
    [Crossref]
  10. T. Baba and M. Nakamura , “ Photonic crystal light deflection devices using the superprism effect ,” IEEE J. Quantum Electron.   38 , 909 – 914 ( 2002 ).
    [Crossref]
  11. R. Moussa , S. Foteinopoulou , L. Zhang , G. Tuttle , K. Guven , E. Ozbay , and C. M. Soukoulis , “ Negative refraction and superlens behaviuor in a two-dimensional photonic crystal ,” Phys. Rev. B   71 , 085106 ( 2005 ).
    [Crossref]
  12. E. Cubukcu , K. Aydin , and E. Ozbay , “ Subwavelength resolution in a two-dimensional photonic-crystal-based superlens ,” Phys. Rev. Lett.   91 , 207401 ( 2003 ).
    [Crossref] [PubMed]
  13. S. G. Johnson , S. Fan , P. R. Villeneuve , J. D. Joannopoulos , and L. A. Kolodziejski , “ Guided modes in photonic crystal slabs ,” Phys. Rev. B   60 , 5751 – 5758 ( 1999 ).
    [Crossref]
  14. C. Ciminelli , F. Peluso , and M. N. Armenise , “ Modeling and design of two-dimensional guided-wave photonic band-gap devices ,” J. Lightwave Technol.   23 , 886 – 901 ( 2005 ).
    [Crossref]
  15. C. Ciminelli , F. Peluso , M. N. Armenise , and R. M. De La Rue , “ Variable oblique incidence for tunability in a 2D guided wave photonic band gap filter ,” J. Lightwave Technol. (to be published).
  16. C. Ciminelli , H. M. H. Chong , F. Peluso , M. N. Armenise , and R. M. De La Rue , “ High Q guided-wave photonic crystal extended microcavity ” in Proceedings of ECOC 2004 , Post deadline paper Th 4.2.6, 26 – 27 .
  17. T. D. Happ , A. Markard , M. Kamp , J.-L. Genter , and A. Forchel , “ InP-based short cavity with 2D photonic crystal mirror ,” Electron. Lett.   37 , 428 – 429 ( 2001 ).
    [Crossref]
  18. C. Ciminelli , F. Peluso , and M. N. Armenise , “ 2D guided-wave photonic band gap single and multiple cavity filters ” in Proceedings of 2005 IEEE/LEOS Workshop on Fibres and Optical Passive Components , 404 – 409 .
  19. K. Sakoda , “ Transmittance and Bragg reflectivity of two-dimensional photonic lattices ,” Phys. Rev. B   52 , 8992 – 9002 ( 1995 ).
    [Crossref]
  20. D. Labilloy et al., “ Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices ,” IEEE J. Quantum Electron.   35 , 1045 – 1052 ( 1999 ).
    [Crossref]
  21. W. Bogaerts , P. Bienstmann , D. Taillaert , R. Baets , and D. De Zutter , “ Out-of-plane scattering in photonic crystal slabs ,” IEEE Photon. Technol. Lett.   13 , 565 – 567 ( 2001 ).
    [Crossref]
  22. J. D. Joannopoulos , R. D. Meade , and J. N. Winn , Photonic Crystals: Molding the Flow of Light ( Princeton University Press, Princeton, New Jersey , 1995 ).

2005 (3)

N. Ikeda , Y. Sugimoto , Y. Tanaka , K. Inoue , and K. Asakawa , “ Low propagation posses in single-line-defect photonic crystal waveguides on GaAs membranes ,” IEEE J. Sel. Areas Commun.   23 , 1315 – 1320 ( 2005 ).
[Crossref]

R. Moussa , S. Foteinopoulou , L. Zhang , G. Tuttle , K. Guven , E. Ozbay , and C. M. Soukoulis , “ Negative refraction and superlens behaviuor in a two-dimensional photonic crystal ,” Phys. Rev. B   71 , 085106 ( 2005 ).
[Crossref]

C. Ciminelli , F. Peluso , and M. N. Armenise , “ Modeling and design of two-dimensional guided-wave photonic band-gap devices ,” J. Lightwave Technol.   23 , 886 – 901 ( 2005 ).
[Crossref]

2004 (2)

A. Lupu , E. Cassan , S. Laval , L. El Melhaoui , P. Lyan , and J. M. Fedeli , “ Experimental evidence for superprism phenomena in SOI photonic crystals ,” Opt. Express   23 , 5690 – 5696 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-23-5690 .
[Crossref]

Y. Tanaka , T. Asano , R. Hatsuta , and S. Noda , “ Analysis of a line-defect waveguide on a silicon-on-insulator two-dimensional photonic-crystal slab ,” J. Lightwave Technol.   22 , 2787 – 2792 ( 2004 ).
[Crossref]

2003 (3)

J. Smajic , C. Hafner , and D. Erni , “ On the design of photonic crystal multiplexers ,” Opt. Express   11 , 566 – 571 ( 2003 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-6-566 .
[Crossref] [PubMed]

E. Cubukcu , K. Aydin , and E. Ozbay , “ Subwavelength resolution in a two-dimensional photonic-crystal-based superlens ,” Phys. Rev. Lett.   91 , 207401 ( 2003 ).
[Crossref] [PubMed]

M. Loncar , T. Yoshie , Y. Qiu , P. Gogna , and A. Scherer , “ Low-threshold photonic crystal laser ,” Proc. SPIE   5000 , 16 – 26 ( 2003 ).
[Crossref]

2002 (3)

M. Rattier , T. F. Krauss , J.-F. Carlin , R. Stanley , U. Oesterle , R. Houdrè , C. J. M. Smith , R. M. De La Rue , H. Benisty , and C. Weisbuch , “ High extraction efficiency, laterally injected, light emitting diodes combining microcavities and photonic crystals ,” Opt. and Quantum Electron.   34 , 79 – 89 ( 2002 ).
[Crossref]

H.-Y. Ryu , S.-H. Kwon , Y.-J. Lee , Y.-H. Lee , and J.-S. Kim , “ Very-low-threshold photonic band-edge lasers from free-standing triangular photonic crystal slabs ,” Appl. Phys. Lett.   80 , 3476 – 3478 ( 2002 ).
[Crossref]

T. Baba and M. Nakamura , “ Photonic crystal light deflection devices using the superprism effect ,” IEEE J. Quantum Electron.   38 , 909 – 914 ( 2002 ).
[Crossref]

2001 (3)

M. Koshiba , “ Wavelength division multiplexing and demultiplexing with photonic crystal waveguide couplers ,” J. Lightwave Technol.   19 , 1970 – 1975 ( 2001 ).
[Crossref]

T. D. Happ , A. Markard , M. Kamp , J.-L. Genter , and A. Forchel , “ InP-based short cavity with 2D photonic crystal mirror ,” Electron. Lett.   37 , 428 – 429 ( 2001 ).
[Crossref]

W. Bogaerts , P. Bienstmann , D. Taillaert , R. Baets , and D. De Zutter , “ Out-of-plane scattering in photonic crystal slabs ,” IEEE Photon. Technol. Lett.   13 , 565 – 567 ( 2001 ).
[Crossref]

1999 (3)

K. Sakoda , “ Low-threshold laser oscillation due to group-velocity anomaly peculiar to two- and three-dimensional photonic crystals ,” Opt. Express   4 , 481 – 489 ( 1999 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-4-12-481 .
[Crossref] [PubMed]

D. Labilloy et al., “ Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices ,” IEEE J. Quantum Electron.   35 , 1045 – 1052 ( 1999 ).
[Crossref]

S. G. Johnson , S. Fan , P. R. Villeneuve , J. D. Joannopoulos , and L. A. Kolodziejski , “ Guided modes in photonic crystal slabs ,” Phys. Rev. B   60 , 5751 – 5758 ( 1999 ).
[Crossref]

1995 (1)

K. Sakoda , “ Transmittance and Bragg reflectivity of two-dimensional photonic lattices ,” Phys. Rev. B   52 , 8992 – 9002 ( 1995 ).
[Crossref]

Armenise, M. N.

C. Ciminelli , F. Peluso , and M. N. Armenise , “ Modeling and design of two-dimensional guided-wave photonic band-gap devices ,” J. Lightwave Technol.   23 , 886 – 901 ( 2005 ).
[Crossref]

C. Ciminelli , F. Peluso , and M. N. Armenise , “ 2D guided-wave photonic band gap single and multiple cavity filters ” in Proceedings of 2005 IEEE/LEOS Workshop on Fibres and Optical Passive Components , 404 – 409 .

C. Ciminelli , F. Peluso , M. N. Armenise , and R. M. De La Rue , “ Variable oblique incidence for tunability in a 2D guided wave photonic band gap filter ,” J. Lightwave Technol. (to be published).

C. Ciminelli , H. M. H. Chong , F. Peluso , M. N. Armenise , and R. M. De La Rue , “ High Q guided-wave photonic crystal extended microcavity ” in Proceedings of ECOC 2004 , Post deadline paper Th 4.2.6, 26 – 27 .

Asakawa, K.

N. Ikeda , Y. Sugimoto , Y. Tanaka , K. Inoue , and K. Asakawa , “ Low propagation posses in single-line-defect photonic crystal waveguides on GaAs membranes ,” IEEE J. Sel. Areas Commun.   23 , 1315 – 1320 ( 2005 ).
[Crossref]

Asano, T.

Aydin, K.

E. Cubukcu , K. Aydin , and E. Ozbay , “ Subwavelength resolution in a two-dimensional photonic-crystal-based superlens ,” Phys. Rev. Lett.   91 , 207401 ( 2003 ).
[Crossref] [PubMed]

Baba, T.

T. Baba and M. Nakamura , “ Photonic crystal light deflection devices using the superprism effect ,” IEEE J. Quantum Electron.   38 , 909 – 914 ( 2002 ).
[Crossref]

Baets, R.

W. Bogaerts , P. Bienstmann , D. Taillaert , R. Baets , and D. De Zutter , “ Out-of-plane scattering in photonic crystal slabs ,” IEEE Photon. Technol. Lett.   13 , 565 – 567 ( 2001 ).
[Crossref]

Benisty, H.

M. Rattier , T. F. Krauss , J.-F. Carlin , R. Stanley , U. Oesterle , R. Houdrè , C. J. M. Smith , R. M. De La Rue , H. Benisty , and C. Weisbuch , “ High extraction efficiency, laterally injected, light emitting diodes combining microcavities and photonic crystals ,” Opt. and Quantum Electron.   34 , 79 – 89 ( 2002 ).
[Crossref]

Bienstmann, P.

W. Bogaerts , P. Bienstmann , D. Taillaert , R. Baets , and D. De Zutter , “ Out-of-plane scattering in photonic crystal slabs ,” IEEE Photon. Technol. Lett.   13 , 565 – 567 ( 2001 ).
[Crossref]

Bogaerts, W.

W. Bogaerts , P. Bienstmann , D. Taillaert , R. Baets , and D. De Zutter , “ Out-of-plane scattering in photonic crystal slabs ,” IEEE Photon. Technol. Lett.   13 , 565 – 567 ( 2001 ).
[Crossref]

Carlin, J.-F.

M. Rattier , T. F. Krauss , J.-F. Carlin , R. Stanley , U. Oesterle , R. Houdrè , C. J. M. Smith , R. M. De La Rue , H. Benisty , and C. Weisbuch , “ High extraction efficiency, laterally injected, light emitting diodes combining microcavities and photonic crystals ,” Opt. and Quantum Electron.   34 , 79 – 89 ( 2002 ).
[Crossref]

Cassan, E.

A. Lupu , E. Cassan , S. Laval , L. El Melhaoui , P. Lyan , and J. M. Fedeli , “ Experimental evidence for superprism phenomena in SOI photonic crystals ,” Opt. Express   23 , 5690 – 5696 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-23-5690 .
[Crossref]

Chong, H. M. H.

C. Ciminelli , H. M. H. Chong , F. Peluso , M. N. Armenise , and R. M. De La Rue , “ High Q guided-wave photonic crystal extended microcavity ” in Proceedings of ECOC 2004 , Post deadline paper Th 4.2.6, 26 – 27 .

Ciminelli, C.

C. Ciminelli , F. Peluso , and M. N. Armenise , “ Modeling and design of two-dimensional guided-wave photonic band-gap devices ,” J. Lightwave Technol.   23 , 886 – 901 ( 2005 ).
[Crossref]

C. Ciminelli , F. Peluso , and M. N. Armenise , “ 2D guided-wave photonic band gap single and multiple cavity filters ” in Proceedings of 2005 IEEE/LEOS Workshop on Fibres and Optical Passive Components , 404 – 409 .

C. Ciminelli , F. Peluso , M. N. Armenise , and R. M. De La Rue , “ Variable oblique incidence for tunability in a 2D guided wave photonic band gap filter ,” J. Lightwave Technol. (to be published).

C. Ciminelli , H. M. H. Chong , F. Peluso , M. N. Armenise , and R. M. De La Rue , “ High Q guided-wave photonic crystal extended microcavity ” in Proceedings of ECOC 2004 , Post deadline paper Th 4.2.6, 26 – 27 .

Cubukcu, E.

E. Cubukcu , K. Aydin , and E. Ozbay , “ Subwavelength resolution in a two-dimensional photonic-crystal-based superlens ,” Phys. Rev. Lett.   91 , 207401 ( 2003 ).
[Crossref] [PubMed]

De La Rue, R. M.

C. Ciminelli , H. M. H. Chong , F. Peluso , M. N. Armenise , and R. M. De La Rue , “ High Q guided-wave photonic crystal extended microcavity ” in Proceedings of ECOC 2004 , Post deadline paper Th 4.2.6, 26 – 27 .

C. Ciminelli , F. Peluso , M. N. Armenise , and R. M. De La Rue , “ Variable oblique incidence for tunability in a 2D guided wave photonic band gap filter ,” J. Lightwave Technol. (to be published).

De Zutter, D.

W. Bogaerts , P. Bienstmann , D. Taillaert , R. Baets , and D. De Zutter , “ Out-of-plane scattering in photonic crystal slabs ,” IEEE Photon. Technol. Lett.   13 , 565 – 567 ( 2001 ).
[Crossref]

Erni, D.

Fan, S.

S. G. Johnson , S. Fan , P. R. Villeneuve , J. D. Joannopoulos , and L. A. Kolodziejski , “ Guided modes in photonic crystal slabs ,” Phys. Rev. B   60 , 5751 – 5758 ( 1999 ).
[Crossref]

Fedeli, J. M.

A. Lupu , E. Cassan , S. Laval , L. El Melhaoui , P. Lyan , and J. M. Fedeli , “ Experimental evidence for superprism phenomena in SOI photonic crystals ,” Opt. Express   23 , 5690 – 5696 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-23-5690 .
[Crossref]

Forchel, A.

T. D. Happ , A. Markard , M. Kamp , J.-L. Genter , and A. Forchel , “ InP-based short cavity with 2D photonic crystal mirror ,” Electron. Lett.   37 , 428 – 429 ( 2001 ).
[Crossref]

Foteinopoulou, S.

R. Moussa , S. Foteinopoulou , L. Zhang , G. Tuttle , K. Guven , E. Ozbay , and C. M. Soukoulis , “ Negative refraction and superlens behaviuor in a two-dimensional photonic crystal ,” Phys. Rev. B   71 , 085106 ( 2005 ).
[Crossref]

Genter, J.-L.

T. D. Happ , A. Markard , M. Kamp , J.-L. Genter , and A. Forchel , “ InP-based short cavity with 2D photonic crystal mirror ,” Electron. Lett.   37 , 428 – 429 ( 2001 ).
[Crossref]

Gogna, P.

M. Loncar , T. Yoshie , Y. Qiu , P. Gogna , and A. Scherer , “ Low-threshold photonic crystal laser ,” Proc. SPIE   5000 , 16 – 26 ( 2003 ).
[Crossref]

Guven, K.

R. Moussa , S. Foteinopoulou , L. Zhang , G. Tuttle , K. Guven , E. Ozbay , and C. M. Soukoulis , “ Negative refraction and superlens behaviuor in a two-dimensional photonic crystal ,” Phys. Rev. B   71 , 085106 ( 2005 ).
[Crossref]

Hafner, C.

Happ, T. D.

T. D. Happ , A. Markard , M. Kamp , J.-L. Genter , and A. Forchel , “ InP-based short cavity with 2D photonic crystal mirror ,” Electron. Lett.   37 , 428 – 429 ( 2001 ).
[Crossref]

Hatsuta, R.

Houdrè, R.

M. Rattier , T. F. Krauss , J.-F. Carlin , R. Stanley , U. Oesterle , R. Houdrè , C. J. M. Smith , R. M. De La Rue , H. Benisty , and C. Weisbuch , “ High extraction efficiency, laterally injected, light emitting diodes combining microcavities and photonic crystals ,” Opt. and Quantum Electron.   34 , 79 – 89 ( 2002 ).
[Crossref]

Ikeda, N.

N. Ikeda , Y. Sugimoto , Y. Tanaka , K. Inoue , and K. Asakawa , “ Low propagation posses in single-line-defect photonic crystal waveguides on GaAs membranes ,” IEEE J. Sel. Areas Commun.   23 , 1315 – 1320 ( 2005 ).
[Crossref]

Inoue, K.

N. Ikeda , Y. Sugimoto , Y. Tanaka , K. Inoue , and K. Asakawa , “ Low propagation posses in single-line-defect photonic crystal waveguides on GaAs membranes ,” IEEE J. Sel. Areas Commun.   23 , 1315 – 1320 ( 2005 ).
[Crossref]

Joannopoulos, J. D.

S. G. Johnson , S. Fan , P. R. Villeneuve , J. D. Joannopoulos , and L. A. Kolodziejski , “ Guided modes in photonic crystal slabs ,” Phys. Rev. B   60 , 5751 – 5758 ( 1999 ).
[Crossref]

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

Johnson, S. G.

S. G. Johnson , S. Fan , P. R. Villeneuve , J. D. Joannopoulos , and L. A. Kolodziejski , “ Guided modes in photonic crystal slabs ,” Phys. Rev. B   60 , 5751 – 5758 ( 1999 ).
[Crossref]

Kamp, M.

T. D. Happ , A. Markard , M. Kamp , J.-L. Genter , and A. Forchel , “ InP-based short cavity with 2D photonic crystal mirror ,” Electron. Lett.   37 , 428 – 429 ( 2001 ).
[Crossref]

Kim, J.-S.

H.-Y. Ryu , S.-H. Kwon , Y.-J. Lee , Y.-H. Lee , and J.-S. Kim , “ Very-low-threshold photonic band-edge lasers from free-standing triangular photonic crystal slabs ,” Appl. Phys. Lett.   80 , 3476 – 3478 ( 2002 ).
[Crossref]

Kolodziejski, L. A.

S. G. Johnson , S. Fan , P. R. Villeneuve , J. D. Joannopoulos , and L. A. Kolodziejski , “ Guided modes in photonic crystal slabs ,” Phys. Rev. B   60 , 5751 – 5758 ( 1999 ).
[Crossref]

Koshiba, M.

Krauss, T. F.

M. Rattier , T. F. Krauss , J.-F. Carlin , R. Stanley , U. Oesterle , R. Houdrè , C. J. M. Smith , R. M. De La Rue , H. Benisty , and C. Weisbuch , “ High extraction efficiency, laterally injected, light emitting diodes combining microcavities and photonic crystals ,” Opt. and Quantum Electron.   34 , 79 – 89 ( 2002 ).
[Crossref]

Kwon, S.-H.

H.-Y. Ryu , S.-H. Kwon , Y.-J. Lee , Y.-H. Lee , and J.-S. Kim , “ Very-low-threshold photonic band-edge lasers from free-standing triangular photonic crystal slabs ,” Appl. Phys. Lett.   80 , 3476 – 3478 ( 2002 ).
[Crossref]

Labilloy, D.

D. Labilloy et al., “ Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices ,” IEEE J. Quantum Electron.   35 , 1045 – 1052 ( 1999 ).
[Crossref]

Laval, S.

A. Lupu , E. Cassan , S. Laval , L. El Melhaoui , P. Lyan , and J. M. Fedeli , “ Experimental evidence for superprism phenomena in SOI photonic crystals ,” Opt. Express   23 , 5690 – 5696 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-23-5690 .
[Crossref]

Lee, Y.-H.

H.-Y. Ryu , S.-H. Kwon , Y.-J. Lee , Y.-H. Lee , and J.-S. Kim , “ Very-low-threshold photonic band-edge lasers from free-standing triangular photonic crystal slabs ,” Appl. Phys. Lett.   80 , 3476 – 3478 ( 2002 ).
[Crossref]

Lee, Y.-J.

H.-Y. Ryu , S.-H. Kwon , Y.-J. Lee , Y.-H. Lee , and J.-S. Kim , “ Very-low-threshold photonic band-edge lasers from free-standing triangular photonic crystal slabs ,” Appl. Phys. Lett.   80 , 3476 – 3478 ( 2002 ).
[Crossref]

Loncar, M.

M. Loncar , T. Yoshie , Y. Qiu , P. Gogna , and A. Scherer , “ Low-threshold photonic crystal laser ,” Proc. SPIE   5000 , 16 – 26 ( 2003 ).
[Crossref]

Lupu, A.

A. Lupu , E. Cassan , S. Laval , L. El Melhaoui , P. Lyan , and J. M. Fedeli , “ Experimental evidence for superprism phenomena in SOI photonic crystals ,” Opt. Express   23 , 5690 – 5696 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-23-5690 .
[Crossref]

Lyan, P.

A. Lupu , E. Cassan , S. Laval , L. El Melhaoui , P. Lyan , and J. M. Fedeli , “ Experimental evidence for superprism phenomena in SOI photonic crystals ,” Opt. Express   23 , 5690 – 5696 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-23-5690 .
[Crossref]

Markard, A.

T. D. Happ , A. Markard , M. Kamp , J.-L. Genter , and A. Forchel , “ InP-based short cavity with 2D photonic crystal mirror ,” Electron. Lett.   37 , 428 – 429 ( 2001 ).
[Crossref]

Meade, R. D.

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

Melhaoui, L. El

A. Lupu , E. Cassan , S. Laval , L. El Melhaoui , P. Lyan , and J. M. Fedeli , “ Experimental evidence for superprism phenomena in SOI photonic crystals ,” Opt. Express   23 , 5690 – 5696 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-23-5690 .
[Crossref]

Moussa, R.

R. Moussa , S. Foteinopoulou , L. Zhang , G. Tuttle , K. Guven , E. Ozbay , and C. M. Soukoulis , “ Negative refraction and superlens behaviuor in a two-dimensional photonic crystal ,” Phys. Rev. B   71 , 085106 ( 2005 ).
[Crossref]

Nakamura, M.

T. Baba and M. Nakamura , “ Photonic crystal light deflection devices using the superprism effect ,” IEEE J. Quantum Electron.   38 , 909 – 914 ( 2002 ).
[Crossref]

Noda, S.

Oesterle, U.

M. Rattier , T. F. Krauss , J.-F. Carlin , R. Stanley , U. Oesterle , R. Houdrè , C. J. M. Smith , R. M. De La Rue , H. Benisty , and C. Weisbuch , “ High extraction efficiency, laterally injected, light emitting diodes combining microcavities and photonic crystals ,” Opt. and Quantum Electron.   34 , 79 – 89 ( 2002 ).
[Crossref]

Ozbay, E.

R. Moussa , S. Foteinopoulou , L. Zhang , G. Tuttle , K. Guven , E. Ozbay , and C. M. Soukoulis , “ Negative refraction and superlens behaviuor in a two-dimensional photonic crystal ,” Phys. Rev. B   71 , 085106 ( 2005 ).
[Crossref]

E. Cubukcu , K. Aydin , and E. Ozbay , “ Subwavelength resolution in a two-dimensional photonic-crystal-based superlens ,” Phys. Rev. Lett.   91 , 207401 ( 2003 ).
[Crossref] [PubMed]

Peluso, F.

C. Ciminelli , F. Peluso , and M. N. Armenise , “ Modeling and design of two-dimensional guided-wave photonic band-gap devices ,” J. Lightwave Technol.   23 , 886 – 901 ( 2005 ).
[Crossref]

C. Ciminelli , F. Peluso , and M. N. Armenise , “ 2D guided-wave photonic band gap single and multiple cavity filters ” in Proceedings of 2005 IEEE/LEOS Workshop on Fibres and Optical Passive Components , 404 – 409 .

C. Ciminelli , F. Peluso , M. N. Armenise , and R. M. De La Rue , “ Variable oblique incidence for tunability in a 2D guided wave photonic band gap filter ,” J. Lightwave Technol. (to be published).

C. Ciminelli , H. M. H. Chong , F. Peluso , M. N. Armenise , and R. M. De La Rue , “ High Q guided-wave photonic crystal extended microcavity ” in Proceedings of ECOC 2004 , Post deadline paper Th 4.2.6, 26 – 27 .

Qiu, Y.

M. Loncar , T. Yoshie , Y. Qiu , P. Gogna , and A. Scherer , “ Low-threshold photonic crystal laser ,” Proc. SPIE   5000 , 16 – 26 ( 2003 ).
[Crossref]

Rattier, M.

M. Rattier , T. F. Krauss , J.-F. Carlin , R. Stanley , U. Oesterle , R. Houdrè , C. J. M. Smith , R. M. De La Rue , H. Benisty , and C. Weisbuch , “ High extraction efficiency, laterally injected, light emitting diodes combining microcavities and photonic crystals ,” Opt. and Quantum Electron.   34 , 79 – 89 ( 2002 ).
[Crossref]

Rue, R. M. De La

M. Rattier , T. F. Krauss , J.-F. Carlin , R. Stanley , U. Oesterle , R. Houdrè , C. J. M. Smith , R. M. De La Rue , H. Benisty , and C. Weisbuch , “ High extraction efficiency, laterally injected, light emitting diodes combining microcavities and photonic crystals ,” Opt. and Quantum Electron.   34 , 79 – 89 ( 2002 ).
[Crossref]

Ryu, H.-Y.

H.-Y. Ryu , S.-H. Kwon , Y.-J. Lee , Y.-H. Lee , and J.-S. Kim , “ Very-low-threshold photonic band-edge lasers from free-standing triangular photonic crystal slabs ,” Appl. Phys. Lett.   80 , 3476 – 3478 ( 2002 ).
[Crossref]

Sakoda, K.

Scherer, A.

M. Loncar , T. Yoshie , Y. Qiu , P. Gogna , and A. Scherer , “ Low-threshold photonic crystal laser ,” Proc. SPIE   5000 , 16 – 26 ( 2003 ).
[Crossref]

Smajic, J.

Smith, C. J. M.

M. Rattier , T. F. Krauss , J.-F. Carlin , R. Stanley , U. Oesterle , R. Houdrè , C. J. M. Smith , R. M. De La Rue , H. Benisty , and C. Weisbuch , “ High extraction efficiency, laterally injected, light emitting diodes combining microcavities and photonic crystals ,” Opt. and Quantum Electron.   34 , 79 – 89 ( 2002 ).
[Crossref]

Soukoulis, C. M.

R. Moussa , S. Foteinopoulou , L. Zhang , G. Tuttle , K. Guven , E. Ozbay , and C. M. Soukoulis , “ Negative refraction and superlens behaviuor in a two-dimensional photonic crystal ,” Phys. Rev. B   71 , 085106 ( 2005 ).
[Crossref]

Stanley, R.

M. Rattier , T. F. Krauss , J.-F. Carlin , R. Stanley , U. Oesterle , R. Houdrè , C. J. M. Smith , R. M. De La Rue , H. Benisty , and C. Weisbuch , “ High extraction efficiency, laterally injected, light emitting diodes combining microcavities and photonic crystals ,” Opt. and Quantum Electron.   34 , 79 – 89 ( 2002 ).
[Crossref]

Sugimoto, Y.

N. Ikeda , Y. Sugimoto , Y. Tanaka , K. Inoue , and K. Asakawa , “ Low propagation posses in single-line-defect photonic crystal waveguides on GaAs membranes ,” IEEE J. Sel. Areas Commun.   23 , 1315 – 1320 ( 2005 ).
[Crossref]

Taillaert, D.

W. Bogaerts , P. Bienstmann , D. Taillaert , R. Baets , and D. De Zutter , “ Out-of-plane scattering in photonic crystal slabs ,” IEEE Photon. Technol. Lett.   13 , 565 – 567 ( 2001 ).
[Crossref]

Tanaka, Y.

N. Ikeda , Y. Sugimoto , Y. Tanaka , K. Inoue , and K. Asakawa , “ Low propagation posses in single-line-defect photonic crystal waveguides on GaAs membranes ,” IEEE J. Sel. Areas Commun.   23 , 1315 – 1320 ( 2005 ).
[Crossref]

Y. Tanaka , T. Asano , R. Hatsuta , and S. Noda , “ Analysis of a line-defect waveguide on a silicon-on-insulator two-dimensional photonic-crystal slab ,” J. Lightwave Technol.   22 , 2787 – 2792 ( 2004 ).
[Crossref]

Tuttle, G.

R. Moussa , S. Foteinopoulou , L. Zhang , G. Tuttle , K. Guven , E. Ozbay , and C. M. Soukoulis , “ Negative refraction and superlens behaviuor in a two-dimensional photonic crystal ,” Phys. Rev. B   71 , 085106 ( 2005 ).
[Crossref]

Villeneuve, P. R.

S. G. Johnson , S. Fan , P. R. Villeneuve , J. D. Joannopoulos , and L. A. Kolodziejski , “ Guided modes in photonic crystal slabs ,” Phys. Rev. B   60 , 5751 – 5758 ( 1999 ).
[Crossref]

Weisbuch, C.

M. Rattier , T. F. Krauss , J.-F. Carlin , R. Stanley , U. Oesterle , R. Houdrè , C. J. M. Smith , R. M. De La Rue , H. Benisty , and C. Weisbuch , “ High extraction efficiency, laterally injected, light emitting diodes combining microcavities and photonic crystals ,” Opt. and Quantum Electron.   34 , 79 – 89 ( 2002 ).
[Crossref]

Winn, J. N.

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

Yoshie, T.

M. Loncar , T. Yoshie , Y. Qiu , P. Gogna , and A. Scherer , “ Low-threshold photonic crystal laser ,” Proc. SPIE   5000 , 16 – 26 ( 2003 ).
[Crossref]

Zhang, L.

R. Moussa , S. Foteinopoulou , L. Zhang , G. Tuttle , K. Guven , E. Ozbay , and C. M. Soukoulis , “ Negative refraction and superlens behaviuor in a two-dimensional photonic crystal ,” Phys. Rev. B   71 , 085106 ( 2005 ).
[Crossref]

Appl. Phys. Lett. (1)

H.-Y. Ryu , S.-H. Kwon , Y.-J. Lee , Y.-H. Lee , and J.-S. Kim , “ Very-low-threshold photonic band-edge lasers from free-standing triangular photonic crystal slabs ,” Appl. Phys. Lett.   80 , 3476 – 3478 ( 2002 ).
[Crossref]

Electron. Lett. (1)

T. D. Happ , A. Markard , M. Kamp , J.-L. Genter , and A. Forchel , “ InP-based short cavity with 2D photonic crystal mirror ,” Electron. Lett.   37 , 428 – 429 ( 2001 ).
[Crossref]

IEEE J. Quantum Electron. (2)

D. Labilloy et al., “ Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices ,” IEEE J. Quantum Electron.   35 , 1045 – 1052 ( 1999 ).
[Crossref]

T. Baba and M. Nakamura , “ Photonic crystal light deflection devices using the superprism effect ,” IEEE J. Quantum Electron.   38 , 909 – 914 ( 2002 ).
[Crossref]

IEEE J. Sel. Areas Commun. (1)

N. Ikeda , Y. Sugimoto , Y. Tanaka , K. Inoue , and K. Asakawa , “ Low propagation posses in single-line-defect photonic crystal waveguides on GaAs membranes ,” IEEE J. Sel. Areas Commun.   23 , 1315 – 1320 ( 2005 ).
[Crossref]

IEEE Photon. Technol. Lett. (1)

W. Bogaerts , P. Bienstmann , D. Taillaert , R. Baets , and D. De Zutter , “ Out-of-plane scattering in photonic crystal slabs ,” IEEE Photon. Technol. Lett.   13 , 565 – 567 ( 2001 ).
[Crossref]

J. Lightwave Technol. (3)

Opt. and Quantum Electron. (1)

M. Rattier , T. F. Krauss , J.-F. Carlin , R. Stanley , U. Oesterle , R. Houdrè , C. J. M. Smith , R. M. De La Rue , H. Benisty , and C. Weisbuch , “ High extraction efficiency, laterally injected, light emitting diodes combining microcavities and photonic crystals ,” Opt. and Quantum Electron.   34 , 79 – 89 ( 2002 ).
[Crossref]

Opt. Express (3)

Phys. Rev. B (3)

S. G. Johnson , S. Fan , P. R. Villeneuve , J. D. Joannopoulos , and L. A. Kolodziejski , “ Guided modes in photonic crystal slabs ,” Phys. Rev. B   60 , 5751 – 5758 ( 1999 ).
[Crossref]

R. Moussa , S. Foteinopoulou , L. Zhang , G. Tuttle , K. Guven , E. Ozbay , and C. M. Soukoulis , “ Negative refraction and superlens behaviuor in a two-dimensional photonic crystal ,” Phys. Rev. B   71 , 085106 ( 2005 ).
[Crossref]

K. Sakoda , “ Transmittance and Bragg reflectivity of two-dimensional photonic lattices ,” Phys. Rev. B   52 , 8992 – 9002 ( 1995 ).
[Crossref]

Phys. Rev. Lett. (1)

E. Cubukcu , K. Aydin , and E. Ozbay , “ Subwavelength resolution in a two-dimensional photonic-crystal-based superlens ,” Phys. Rev. Lett.   91 , 207401 ( 2003 ).
[Crossref] [PubMed]

Proc. SPIE (1)

M. Loncar , T. Yoshie , Y. Qiu , P. Gogna , and A. Scherer , “ Low-threshold photonic crystal laser ,” Proc. SPIE   5000 , 16 – 26 ( 2003 ).
[Crossref]

Other (4)

C. Ciminelli , F. Peluso , M. N. Armenise , and R. M. De La Rue , “ Variable oblique incidence for tunability in a 2D guided wave photonic band gap filter ,” J. Lightwave Technol. (to be published).

C. Ciminelli , H. M. H. Chong , F. Peluso , M. N. Armenise , and R. M. De La Rue , “ High Q guided-wave photonic crystal extended microcavity ” in Proceedings of ECOC 2004 , Post deadline paper Th 4.2.6, 26 – 27 .

C. Ciminelli , F. Peluso , and M. N. Armenise , “ 2D guided-wave photonic band gap single and multiple cavity filters ” in Proceedings of 2005 IEEE/LEOS Workshop on Fibres and Optical Passive Components , 404 – 409 .

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

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Figures (12)

Fig. 1.
Fig. 1. Two different lattices. (a) periodic repetition of holes; (b) periodic repetition of rods.

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Fig. 2.
Fig. 2. Two different unit cell symmetries. (a) triangular; (b) square.

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Fig. 3.
Fig. 3. BW/λ0 versus R/a (a) and αmax versus R/a (b) for different photonic crystal structure in a 100 nm thick AlxOy/GaAs slab waveguide.

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Fig. 4.
Fig. 4. Reflectance (a) and transmittance (b) at the centre of the stop band (λ0 = 1.55 μm) versus R/a for different photonic crystal structures in a 100 nm thick AlxOy /GaAs slab waveguide (15 hole/rod rows).

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Fig. 5.
Fig. 5. (λ0 - λc,rad)/λ0 (a) and relative percentage (b) versus R/a for different photonic crystal structures in a 100 nm thick AlxOy/GaAs slab waveguide.

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Fig. 6.
Fig. 6. BW/λ0 % (a) and BW/[2 - (λ0 - λc,rad)] (b) versus etching depth for different photonic crystal structure in a 100 nm thick AlxOy/GaAs slab waveguide.

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Fig. 7.
Fig. 7. Peak attenuation coefficient in the forbidden band (a), reflectance at λ0 (15 hole/rod rows) (b), transmittance at λ0 (15 hole/rod rows) (c) as function of the etching depth tg/tf for different photonic crystal structures in a 100 nm thick AlxOy/GaAs slab waveguide.

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Fig. 8.
Fig. 8. BW/λ0 % (a), (λ0 - λc,rad)/λ0 (b), reflectance at λ0 = 1.55 μm (15 hole rows) (c), transmittance at λ0 (15 hole rows) (d) as functions of the ratio R/a at different etching depths tg/tf for a triangular lattice of holes in a 100 nm thick AlxOy/GaAs slab waveguide.

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Fig. 9.
Fig. 9. BW/λ0 % (a), (λ0 - λc,rad)/λ0 (b), reflectance at λ0 = 1.55 μm (15 rod rows) (c), transmittance at λ0 (15 rod rows) (d) as functions of the ratio R/a at different etching depths tg/tf for a triangular lattice of rods in a 100 nm thick AlxOy/GaAs slab waveguide.

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Fig. 10.
Fig. 10. BW/λ0 % (a), (λ0 - λc,rad)/λ0 (b), reflectance at λ0 = 1.55 μm (15 hole rows) (c), transmittance at λ0 (15 hole rows) (d) as functions of the ratio R/a at different etching depths tg/tf for a square lattice of holes in a 100 nm thick AlxOy/GaAs slab waveguide.

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Fig. 11.
Fig. 11. BW/λ0 % (a), (λ0 - λc,rad)/λ0 (b), reflectance at λ0 = 1.55 μm (15 rod rows) (c), transmittance at λ0 (15 rod rows) (d) as functions of the ratio R/a at different etching depths tg/tf for a square lattice of rods in a 100 nm thick AlxOy/GaAs slab waveguide.

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Fig. 12.
Fig. 12. Dispersion curves of photonic crystals consisting on a square pattern of holes, evaluated along the ΓX direction for four different etching depths. The ratio R/a is equal to 0.35 and the lattice constant a is adjusted to have a centre wavelength λ0 = 1.55 μm in each case: (a) phase constant; (b) attenuation coefficient.

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Tables (1)

Tables Icon

Table 1. Optimum value of the ratio R/a, corresponding filling factor, fopt relative width BW/λ0 of the bandgap and peak attenuation coefficient αmax for different types of photonic crystals

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Equations (4)

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E , H = ∑ i , G E , H i , G ( x ) a i e j ( k + G ) · ρ
G = m 1 b 1 + m 2 b 2
ψ x ρ = a ψ + x ρ + bψ − x ρ
β y , p = p 2 π Λ y

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