Abstract

We report a numerical analysis of an optically tunable channel drop filter that consists of a resonant cavity side-coupled to a waveguide embedded in a two-dimensional nonlinear photonic crystal. We first introduce a numerical method that allows us to calculate the photonic band structure of a nonlinear photonic crystal, as well as the frequency and field profile of cavity and waveguide modes. Then, we use this numerical method to study the dependence of the resonant frequency of a cavity side-coupled to a waveguide, on the optical power in the waveguide.

© 2004 Optical Society of America

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  1. E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987).
    [CrossRef] [PubMed]
  2. S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).
    [CrossRef] [PubMed]
  3. A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
    [CrossRef] [PubMed]
  4. S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, J. D. Joannopoulos, “Experimental demonstration of guiding and bending of electromagnetic waves in a photonic crystal,” Science 282, 274–276 (1998).
    [CrossRef] [PubMed]
  5. O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, I. Kim, “Two–dimensional photonic band-gap defect mode laser,” Science 284, 1819–1821 (1999).
    [CrossRef] [PubMed]
  6. M. J. Steel, M. Levy, R. M. Osgood, “High transmission enhanced Faraday rotation in one-dimensional photonic crystals with defects,” IEEE Photon. Tecnol. Lett. 12, 1171–1173 (2000).
    [CrossRef]
  7. D. Scrymgeour, N. Malkova, S. Kim, V. Gopalan, “Electro-optic control of the superprism effect in photonic crystals,” Appl. Phys. Lett. 82, 3176–3178 (2003).
    [CrossRef]
  8. K. Yoshino, Y. Shimoda, Y. Kawagishi, K. Nakayama, M. Ozaki, “Temperature tuning of the stop band in transmission spectra of liquid-crystal infiltrated synthetic opal as tunable photonic crystal,” Appl. Phys. Lett. 75, 932–934 (1999).
    [CrossRef]
  9. A. D. Bristow, J.-P. R. Wells, W. H. Fan, A. M. Fox, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, T. F. Krauss, J. S. Roberts, “Ultrafast nonlinear response of AlGaAs two-dimensional photonic crystal waveguides,” Appl. Phys. Lett. 83, 851–853 (2003).
    [CrossRef]
  10. L. Brzozowski, V. Sukhovatkin, E. H. Sargent, A. J. SpringThorpe, M. Extavour, “Intensity-dependent reflectance and transmittance of semiconductor periodic structures,” IEEE J. Quantum Electron. 39, 924–930 (2003).
    [CrossRef]
  11. M. Soljacic, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, J. D. Joannopoulos, “Photonic-crystal slow-light enhancement of nonlinear phase sensitivity,” J. Opt. Soc. Am. B 19, 2052–2059 (2002).
    [CrossRef]
  12. M. F. Yanik, S. Fan, M. Soljacic, “High-contrast all-optical bistable switching in photonic crystal microcavities,” Appl. Phys. Lett. 83, 2739–2741 (2003).
    [CrossRef]
  13. M. Bahl, N. C. Panoiu, R. M. Osgood, “Nonlinear optical effects in a two-dimensional photonic crystal containing one-dimensional Kerr defects,” Phys. Rev. E 67, 056604(1–9) (2003).
    [CrossRef]
  14. N. C. Panoiu, M. Bahl, R. M. Osgood, “Optically tunable superprism effect in nonlinear photonic crystals,” Opt. Lett. 28, 2503–2505 (2003).
    [CrossRef] [PubMed]
  15. N. C. Panoiu, M. Bahl, R. M. Osgood, “Ultrafast optical tuning of superprism effect in nonlinear photonic crystals,” J. Opt. Soc. Am. B, (submitted).
  16. K. M. Ho, K. T. Chan, C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).
    [CrossRef] [PubMed]
  17. V. Lousse, J. P. Vigneron, “Self-consistent photonic band structure of dielectric superlattices containing nonlinear optical materials,” Phys. Rev. E 63, 027602(1–4) (2001).
    [CrossRef]
  18. K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Berlin, Heidelberg, 2001).
  19. S. Noda, A. Chutinan, M. Imada, “Trapping and emission of photons by a single defect in a photonic bandgap structure,” Nature 407, 608–610 (2000).
    [CrossRef] [PubMed]
  20. B.-S. Song, S. Noda, T. Asano, “Photonic devices based on in-plane hetero photonic crystals,” Science 300, 1537 (2003).
    [CrossRef] [PubMed]
  21. S. Mookherjea, “Coupled resonator optical waveguides,” IEEE J. Sel. Top. Quantum Electron. 8, 448–456 (2002).
    [CrossRef]

2003 (7)

D. Scrymgeour, N. Malkova, S. Kim, V. Gopalan, “Electro-optic control of the superprism effect in photonic crystals,” Appl. Phys. Lett. 82, 3176–3178 (2003).
[CrossRef]

A. D. Bristow, J.-P. R. Wells, W. H. Fan, A. M. Fox, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, T. F. Krauss, J. S. Roberts, “Ultrafast nonlinear response of AlGaAs two-dimensional photonic crystal waveguides,” Appl. Phys. Lett. 83, 851–853 (2003).
[CrossRef]

L. Brzozowski, V. Sukhovatkin, E. H. Sargent, A. J. SpringThorpe, M. Extavour, “Intensity-dependent reflectance and transmittance of semiconductor periodic structures,” IEEE J. Quantum Electron. 39, 924–930 (2003).
[CrossRef]

B.-S. Song, S. Noda, T. Asano, “Photonic devices based on in-plane hetero photonic crystals,” Science 300, 1537 (2003).
[CrossRef] [PubMed]

M. F. Yanik, S. Fan, M. Soljacic, “High-contrast all-optical bistable switching in photonic crystal microcavities,” Appl. Phys. Lett. 83, 2739–2741 (2003).
[CrossRef]

M. Bahl, N. C. Panoiu, R. M. Osgood, “Nonlinear optical effects in a two-dimensional photonic crystal containing one-dimensional Kerr defects,” Phys. Rev. E 67, 056604(1–9) (2003).
[CrossRef]

N. C. Panoiu, M. Bahl, R. M. Osgood, “Optically tunable superprism effect in nonlinear photonic crystals,” Opt. Lett. 28, 2503–2505 (2003).
[CrossRef] [PubMed]

2002 (2)

2001 (1)

V. Lousse, J. P. Vigneron, “Self-consistent photonic band structure of dielectric superlattices containing nonlinear optical materials,” Phys. Rev. E 63, 027602(1–4) (2001).
[CrossRef]

2000 (2)

S. Noda, A. Chutinan, M. Imada, “Trapping and emission of photons by a single defect in a photonic bandgap structure,” Nature 407, 608–610 (2000).
[CrossRef] [PubMed]

M. J. Steel, M. Levy, R. M. Osgood, “High transmission enhanced Faraday rotation in one-dimensional photonic crystals with defects,” IEEE Photon. Tecnol. Lett. 12, 1171–1173 (2000).
[CrossRef]

1999 (2)

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, I. Kim, “Two–dimensional photonic band-gap defect mode laser,” Science 284, 1819–1821 (1999).
[CrossRef] [PubMed]

K. Yoshino, Y. Shimoda, Y. Kawagishi, K. Nakayama, M. Ozaki, “Temperature tuning of the stop band in transmission spectra of liquid-crystal infiltrated synthetic opal as tunable photonic crystal,” Appl. Phys. Lett. 75, 932–934 (1999).
[CrossRef]

1998 (1)

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, J. D. Joannopoulos, “Experimental demonstration of guiding and bending of electromagnetic waves in a photonic crystal,” Science 282, 274–276 (1998).
[CrossRef] [PubMed]

1996 (1)

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
[CrossRef] [PubMed]

1990 (1)

K. M. Ho, K. T. Chan, C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).
[CrossRef] [PubMed]

1987 (2)

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

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

Asano, T.

B.-S. Song, S. Noda, T. Asano, “Photonic devices based on in-plane hetero photonic crystals,” Science 300, 1537 (2003).
[CrossRef] [PubMed]

Bahl, M.

N. C. Panoiu, M. Bahl, R. M. Osgood, “Optically tunable superprism effect in nonlinear photonic crystals,” Opt. Lett. 28, 2503–2505 (2003).
[CrossRef] [PubMed]

M. Bahl, N. C. Panoiu, R. M. Osgood, “Nonlinear optical effects in a two-dimensional photonic crystal containing one-dimensional Kerr defects,” Phys. Rev. E 67, 056604(1–9) (2003).
[CrossRef]

N. C. Panoiu, M. Bahl, R. M. Osgood, “Ultrafast optical tuning of superprism effect in nonlinear photonic crystals,” J. Opt. Soc. Am. B, (submitted).

Bristow, A. D.

A. D. Bristow, J.-P. R. Wells, W. H. Fan, A. M. Fox, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, T. F. Krauss, J. S. Roberts, “Ultrafast nonlinear response of AlGaAs two-dimensional photonic crystal waveguides,” Appl. Phys. Lett. 83, 851–853 (2003).
[CrossRef]

Brzozowski, L.

L. Brzozowski, V. Sukhovatkin, E. H. Sargent, A. J. SpringThorpe, M. Extavour, “Intensity-dependent reflectance and transmittance of semiconductor periodic structures,” IEEE J. Quantum Electron. 39, 924–930 (2003).
[CrossRef]

Chan, K. T.

K. M. Ho, K. T. Chan, C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).
[CrossRef] [PubMed]

Chen, J. C.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
[CrossRef] [PubMed]

Chow, E.

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, J. D. Joannopoulos, “Experimental demonstration of guiding and bending of electromagnetic waves in a photonic crystal,” Science 282, 274–276 (1998).
[CrossRef] [PubMed]

Chutinan, A.

S. Noda, A. Chutinan, M. Imada, “Trapping and emission of photons by a single defect in a photonic bandgap structure,” Nature 407, 608–610 (2000).
[CrossRef] [PubMed]

Dapkus, P. D.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, I. Kim, “Two–dimensional photonic band-gap defect mode laser,” Science 284, 1819–1821 (1999).
[CrossRef] [PubMed]

Extavour, M.

L. Brzozowski, V. Sukhovatkin, E. H. Sargent, A. J. SpringThorpe, M. Extavour, “Intensity-dependent reflectance and transmittance of semiconductor periodic structures,” IEEE J. Quantum Electron. 39, 924–930 (2003).
[CrossRef]

Fan, S.

M. F. Yanik, S. Fan, M. Soljacic, “High-contrast all-optical bistable switching in photonic crystal microcavities,” Appl. Phys. Lett. 83, 2739–2741 (2003).
[CrossRef]

M. Soljacic, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, J. D. Joannopoulos, “Photonic-crystal slow-light enhancement of nonlinear phase sensitivity,” J. Opt. Soc. Am. B 19, 2052–2059 (2002).
[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
[CrossRef] [PubMed]

Fan, W. H.

A. D. Bristow, J.-P. R. Wells, W. H. Fan, A. M. Fox, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, T. F. Krauss, J. S. Roberts, “Ultrafast nonlinear response of AlGaAs two-dimensional photonic crystal waveguides,” Appl. Phys. Lett. 83, 851–853 (2003).
[CrossRef]

Fox, A. M.

A. D. Bristow, J.-P. R. Wells, W. H. Fan, A. M. Fox, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, T. F. Krauss, J. S. Roberts, “Ultrafast nonlinear response of AlGaAs two-dimensional photonic crystal waveguides,” Appl. Phys. Lett. 83, 851–853 (2003).
[CrossRef]

Gopalan, V.

D. Scrymgeour, N. Malkova, S. Kim, V. Gopalan, “Electro-optic control of the superprism effect in photonic crystals,” Appl. Phys. Lett. 82, 3176–3178 (2003).
[CrossRef]

Hietala, V.

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, J. D. Joannopoulos, “Experimental demonstration of guiding and bending of electromagnetic waves in a photonic crystal,” Science 282, 274–276 (1998).
[CrossRef] [PubMed]

Ho, K. M.

K. M. Ho, K. T. Chan, C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).
[CrossRef] [PubMed]

Ibanescu, M.

Imada, M.

S. Noda, A. Chutinan, M. Imada, “Trapping and emission of photons by a single defect in a photonic bandgap structure,” Nature 407, 608–610 (2000).
[CrossRef] [PubMed]

Ippen, E.

Joannopoulos, J. D.

M. Soljacic, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, J. D. Joannopoulos, “Photonic-crystal slow-light enhancement of nonlinear phase sensitivity,” J. Opt. Soc. Am. B 19, 2052–2059 (2002).
[CrossRef]

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, J. D. Joannopoulos, “Experimental demonstration of guiding and bending of electromagnetic waves in a photonic crystal,” Science 282, 274–276 (1998).
[CrossRef] [PubMed]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
[CrossRef] [PubMed]

John, S.

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

Johnson, S. G.

Kawagishi, Y.

K. Yoshino, Y. Shimoda, Y. Kawagishi, K. Nakayama, M. Ozaki, “Temperature tuning of the stop band in transmission spectra of liquid-crystal infiltrated synthetic opal as tunable photonic crystal,” Appl. Phys. Lett. 75, 932–934 (1999).
[CrossRef]

Kim, I.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, I. Kim, “Two–dimensional photonic band-gap defect mode laser,” Science 284, 1819–1821 (1999).
[CrossRef] [PubMed]

Kim, S.

D. Scrymgeour, N. Malkova, S. Kim, V. Gopalan, “Electro-optic control of the superprism effect in photonic crystals,” Appl. Phys. Lett. 82, 3176–3178 (2003).
[CrossRef]

Krauss, T. F.

A. D. Bristow, J.-P. R. Wells, W. H. Fan, A. M. Fox, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, T. F. Krauss, J. S. Roberts, “Ultrafast nonlinear response of AlGaAs two-dimensional photonic crystal waveguides,” Appl. Phys. Lett. 83, 851–853 (2003).
[CrossRef]

Kurland, I.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
[CrossRef] [PubMed]

Lee, R. K.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, I. Kim, “Two–dimensional photonic band-gap defect mode laser,” Science 284, 1819–1821 (1999).
[CrossRef] [PubMed]

Levy, M.

M. J. Steel, M. Levy, R. M. Osgood, “High transmission enhanced Faraday rotation in one-dimensional photonic crystals with defects,” IEEE Photon. Tecnol. Lett. 12, 1171–1173 (2000).
[CrossRef]

Lin, S. Y.

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, J. D. Joannopoulos, “Experimental demonstration of guiding and bending of electromagnetic waves in a photonic crystal,” Science 282, 274–276 (1998).
[CrossRef] [PubMed]

Lousse, V.

V. Lousse, J. P. Vigneron, “Self-consistent photonic band structure of dielectric superlattices containing nonlinear optical materials,” Phys. Rev. E 63, 027602(1–4) (2001).
[CrossRef]

Malkova, N.

D. Scrymgeour, N. Malkova, S. Kim, V. Gopalan, “Electro-optic control of the superprism effect in photonic crystals,” Appl. Phys. Lett. 82, 3176–3178 (2003).
[CrossRef]

Mekis, A.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
[CrossRef] [PubMed]

Mookherjea, S.

S. Mookherjea, “Coupled resonator optical waveguides,” IEEE J. Sel. Top. Quantum Electron. 8, 448–456 (2002).
[CrossRef]

Nakayama, K.

K. Yoshino, Y. Shimoda, Y. Kawagishi, K. Nakayama, M. Ozaki, “Temperature tuning of the stop band in transmission spectra of liquid-crystal infiltrated synthetic opal as tunable photonic crystal,” Appl. Phys. Lett. 75, 932–934 (1999).
[CrossRef]

Noda, S.

B.-S. Song, S. Noda, T. Asano, “Photonic devices based on in-plane hetero photonic crystals,” Science 300, 1537 (2003).
[CrossRef] [PubMed]

S. Noda, A. Chutinan, M. Imada, “Trapping and emission of photons by a single defect in a photonic bandgap structure,” Nature 407, 608–610 (2000).
[CrossRef] [PubMed]

O’Brien, J. D.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, I. Kim, “Two–dimensional photonic band-gap defect mode laser,” Science 284, 1819–1821 (1999).
[CrossRef] [PubMed]

Osgood, R. M.

M. Bahl, N. C. Panoiu, R. M. Osgood, “Nonlinear optical effects in a two-dimensional photonic crystal containing one-dimensional Kerr defects,” Phys. Rev. E 67, 056604(1–9) (2003).
[CrossRef]

N. C. Panoiu, M. Bahl, R. M. Osgood, “Optically tunable superprism effect in nonlinear photonic crystals,” Opt. Lett. 28, 2503–2505 (2003).
[CrossRef] [PubMed]

M. J. Steel, M. Levy, R. M. Osgood, “High transmission enhanced Faraday rotation in one-dimensional photonic crystals with defects,” IEEE Photon. Tecnol. Lett. 12, 1171–1173 (2000).
[CrossRef]

N. C. Panoiu, M. Bahl, R. M. Osgood, “Ultrafast optical tuning of superprism effect in nonlinear photonic crystals,” J. Opt. Soc. Am. B, (submitted).

Ozaki, M.

K. Yoshino, Y. Shimoda, Y. Kawagishi, K. Nakayama, M. Ozaki, “Temperature tuning of the stop band in transmission spectra of liquid-crystal infiltrated synthetic opal as tunable photonic crystal,” Appl. Phys. Lett. 75, 932–934 (1999).
[CrossRef]

Painter, O.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, I. Kim, “Two–dimensional photonic band-gap defect mode laser,” Science 284, 1819–1821 (1999).
[CrossRef] [PubMed]

Panoiu, N. C.

M. Bahl, N. C. Panoiu, R. M. Osgood, “Nonlinear optical effects in a two-dimensional photonic crystal containing one-dimensional Kerr defects,” Phys. Rev. E 67, 056604(1–9) (2003).
[CrossRef]

N. C. Panoiu, M. Bahl, R. M. Osgood, “Optically tunable superprism effect in nonlinear photonic crystals,” Opt. Lett. 28, 2503–2505 (2003).
[CrossRef] [PubMed]

N. C. Panoiu, M. Bahl, R. M. Osgood, “Ultrafast optical tuning of superprism effect in nonlinear photonic crystals,” J. Opt. Soc. Am. B, (submitted).

Roberts, J. S.

A. D. Bristow, J.-P. R. Wells, W. H. Fan, A. M. Fox, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, T. F. Krauss, J. S. Roberts, “Ultrafast nonlinear response of AlGaAs two-dimensional photonic crystal waveguides,” Appl. Phys. Lett. 83, 851–853 (2003).
[CrossRef]

Sakoda, K.

K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Berlin, Heidelberg, 2001).

Sargent, E. H.

L. Brzozowski, V. Sukhovatkin, E. H. Sargent, A. J. SpringThorpe, M. Extavour, “Intensity-dependent reflectance and transmittance of semiconductor periodic structures,” IEEE J. Quantum Electron. 39, 924–930 (2003).
[CrossRef]

Scherer, A.

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, I. Kim, “Two–dimensional photonic band-gap defect mode laser,” Science 284, 1819–1821 (1999).
[CrossRef] [PubMed]

Scrymgeour, D.

D. Scrymgeour, N. Malkova, S. Kim, V. Gopalan, “Electro-optic control of the superprism effect in photonic crystals,” Appl. Phys. Lett. 82, 3176–3178 (2003).
[CrossRef]

Shimoda, Y.

K. Yoshino, Y. Shimoda, Y. Kawagishi, K. Nakayama, M. Ozaki, “Temperature tuning of the stop band in transmission spectra of liquid-crystal infiltrated synthetic opal as tunable photonic crystal,” Appl. Phys. Lett. 75, 932–934 (1999).
[CrossRef]

Skolnick, M. S.

A. D. Bristow, J.-P. R. Wells, W. H. Fan, A. M. Fox, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, T. F. Krauss, J. S. Roberts, “Ultrafast nonlinear response of AlGaAs two-dimensional photonic crystal waveguides,” Appl. Phys. Lett. 83, 851–853 (2003).
[CrossRef]

Soljacic, M.

M. F. Yanik, S. Fan, M. Soljacic, “High-contrast all-optical bistable switching in photonic crystal microcavities,” Appl. Phys. Lett. 83, 2739–2741 (2003).
[CrossRef]

M. Soljacic, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, J. D. Joannopoulos, “Photonic-crystal slow-light enhancement of nonlinear phase sensitivity,” J. Opt. Soc. Am. B 19, 2052–2059 (2002).
[CrossRef]

Song, B.-S.

B.-S. Song, S. Noda, T. Asano, “Photonic devices based on in-plane hetero photonic crystals,” Science 300, 1537 (2003).
[CrossRef] [PubMed]

Soukoulis, C. M.

K. M. Ho, K. T. Chan, C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).
[CrossRef] [PubMed]

SpringThorpe, A. J.

L. Brzozowski, V. Sukhovatkin, E. H. Sargent, A. J. SpringThorpe, M. Extavour, “Intensity-dependent reflectance and transmittance of semiconductor periodic structures,” IEEE J. Quantum Electron. 39, 924–930 (2003).
[CrossRef]

Steel, M. J.

M. J. Steel, M. Levy, R. M. Osgood, “High transmission enhanced Faraday rotation in one-dimensional photonic crystals with defects,” IEEE Photon. Tecnol. Lett. 12, 1171–1173 (2000).
[CrossRef]

Sukhovatkin, V.

L. Brzozowski, V. Sukhovatkin, E. H. Sargent, A. J. SpringThorpe, M. Extavour, “Intensity-dependent reflectance and transmittance of semiconductor periodic structures,” IEEE J. Quantum Electron. 39, 924–930 (2003).
[CrossRef]

Tahraoui, A.

A. D. Bristow, J.-P. R. Wells, W. H. Fan, A. M. Fox, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, T. F. Krauss, J. S. Roberts, “Ultrafast nonlinear response of AlGaAs two-dimensional photonic crystal waveguides,” Appl. Phys. Lett. 83, 851–853 (2003).
[CrossRef]

Vigneron, J. P.

V. Lousse, J. P. Vigneron, “Self-consistent photonic band structure of dielectric superlattices containing nonlinear optical materials,” Phys. Rev. E 63, 027602(1–4) (2001).
[CrossRef]

Villeneuve, P. R.

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, J. D. Joannopoulos, “Experimental demonstration of guiding and bending of electromagnetic waves in a photonic crystal,” Science 282, 274–276 (1998).
[CrossRef] [PubMed]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
[CrossRef] [PubMed]

Wells, J.-P. R.

A. D. Bristow, J.-P. R. Wells, W. H. Fan, A. M. Fox, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, T. F. Krauss, J. S. Roberts, “Ultrafast nonlinear response of AlGaAs two-dimensional photonic crystal waveguides,” Appl. Phys. Lett. 83, 851–853 (2003).
[CrossRef]

Whittaker, D. M.

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