Abstract

We present a theoretical analysis for simultaneous optical wavelength interchange and isolation of a pair of collinear input optical signals by use of two concurrent difference-frequency-generation processes in a two-dimensional second-order nonlinear photonic crystal. We have derived a set of relations, including a general nonlinear Bragg condition, that we use to determine the parameters of the nonlinear lattice, given the input wavelengths and desired exit angles of the wavelength-interchanged outputs.

© 2000 Optical Society of America

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  1. J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
    [CrossRef]
  2. V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
    [CrossRef]
  3. A. Yariv, D. Fekete, and D. M. Pepper, Opt. Lett. 4, 52 (1979).
    [CrossRef]
  4. D. X. Zhu, S. Dubovitsky, W. H. Steier, K. Uppal, D. Tishinin, J. Burger, and P. D. Dapkus, Appl. Phys. Lett. 70, 2082 (1997).
    [CrossRef]
  5. G. I. Stegeman, D. J. Hagan, and L. Toner, Opt. Quantum Electron. 28, 1691 (1996).
    [CrossRef]
  6. M. H. Chou, I. Brener, M. M. Fejer, E. E. Chaban, and S. B. Christman, IEEE Photon. Technol. Lett. 11, 653 (1999).
    [CrossRef]
  7. E. Yablonovitch, J. Opt. Soc. Am. B 10, 283 (1993).
    [CrossRef]
  8. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, Princeton, N.J., 1995).
  9. S. John, Phys. Rev. Lett. 58, 2486 (1987).
    [CrossRef] [PubMed]
  10. M. L. Bortz, M. A. Arbore, and M. M. Fejer, Opt. Lett. 20, 49 (1995).
    [CrossRef] [PubMed]
  11. C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1976).

1999 (1)

M. H. Chou, I. Brener, M. M. Fejer, E. E. Chaban, and S. B. Christman, IEEE Photon. Technol. Lett. 11, 653 (1999).
[CrossRef]

1998 (1)

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[CrossRef]

1997 (1)

D. X. Zhu, S. Dubovitsky, W. H. Steier, K. Uppal, D. Tishinin, J. Burger, and P. D. Dapkus, Appl. Phys. Lett. 70, 2082 (1997).
[CrossRef]

1996 (1)

G. I. Stegeman, D. J. Hagan, and L. Toner, Opt. Quantum Electron. 28, 1691 (1996).
[CrossRef]

1995 (1)

1993 (1)

1987 (1)

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef] [PubMed]

1979 (1)

1962 (1)

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Arbore, M. A.

Armstrong, J. A.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Berger, V.

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[CrossRef]

Bloembergen, N.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Bortz, M. L.

Brener, I.

M. H. Chou, I. Brener, M. M. Fejer, E. E. Chaban, and S. B. Christman, IEEE Photon. Technol. Lett. 11, 653 (1999).
[CrossRef]

Burger, J.

D. X. Zhu, S. Dubovitsky, W. H. Steier, K. Uppal, D. Tishinin, J. Burger, and P. D. Dapkus, Appl. Phys. Lett. 70, 2082 (1997).
[CrossRef]

Chaban, E. E.

M. H. Chou, I. Brener, M. M. Fejer, E. E. Chaban, and S. B. Christman, IEEE Photon. Technol. Lett. 11, 653 (1999).
[CrossRef]

Chou, M. H.

M. H. Chou, I. Brener, M. M. Fejer, E. E. Chaban, and S. B. Christman, IEEE Photon. Technol. Lett. 11, 653 (1999).
[CrossRef]

Christman, S. B.

M. H. Chou, I. Brener, M. M. Fejer, E. E. Chaban, and S. B. Christman, IEEE Photon. Technol. Lett. 11, 653 (1999).
[CrossRef]

Dapkus, P. D.

D. X. Zhu, S. Dubovitsky, W. H. Steier, K. Uppal, D. Tishinin, J. Burger, and P. D. Dapkus, Appl. Phys. Lett. 70, 2082 (1997).
[CrossRef]

Dubovitsky, S.

D. X. Zhu, S. Dubovitsky, W. H. Steier, K. Uppal, D. Tishinin, J. Burger, and P. D. Dapkus, Appl. Phys. Lett. 70, 2082 (1997).
[CrossRef]

Ducuing, J.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Fejer, M. M.

M. H. Chou, I. Brener, M. M. Fejer, E. E. Chaban, and S. B. Christman, IEEE Photon. Technol. Lett. 11, 653 (1999).
[CrossRef]

M. L. Bortz, M. A. Arbore, and M. M. Fejer, Opt. Lett. 20, 49 (1995).
[CrossRef] [PubMed]

Fekete, D.

Hagan, D. J.

G. I. Stegeman, D. J. Hagan, and L. Toner, Opt. Quantum Electron. 28, 1691 (1996).
[CrossRef]

Joannopoulos, J. D.

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

John, S.

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef] [PubMed]

Kittel, C.

C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1976).

Meade, R. D.

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

Pepper, D. M.

Pershan, P. S.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Stegeman, G. I.

G. I. Stegeman, D. J. Hagan, and L. Toner, Opt. Quantum Electron. 28, 1691 (1996).
[CrossRef]

Steier, W. H.

D. X. Zhu, S. Dubovitsky, W. H. Steier, K. Uppal, D. Tishinin, J. Burger, and P. D. Dapkus, Appl. Phys. Lett. 70, 2082 (1997).
[CrossRef]

Tishinin, D.

D. X. Zhu, S. Dubovitsky, W. H. Steier, K. Uppal, D. Tishinin, J. Burger, and P. D. Dapkus, Appl. Phys. Lett. 70, 2082 (1997).
[CrossRef]

Toner, L.

G. I. Stegeman, D. J. Hagan, and L. Toner, Opt. Quantum Electron. 28, 1691 (1996).
[CrossRef]

Uppal, K.

D. X. Zhu, S. Dubovitsky, W. H. Steier, K. Uppal, D. Tishinin, J. Burger, and P. D. Dapkus, Appl. Phys. Lett. 70, 2082 (1997).
[CrossRef]

Winn, J. N.

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

Yablonovitch, E.

Yariv, A.

Zhu, D. X.

D. X. Zhu, S. Dubovitsky, W. H. Steier, K. Uppal, D. Tishinin, J. Burger, and P. D. Dapkus, Appl. Phys. Lett. 70, 2082 (1997).
[CrossRef]

Appl. Phys. Lett. (1)

D. X. Zhu, S. Dubovitsky, W. H. Steier, K. Uppal, D. Tishinin, J. Burger, and P. D. Dapkus, Appl. Phys. Lett. 70, 2082 (1997).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

M. H. Chou, I. Brener, M. M. Fejer, E. E. Chaban, and S. B. Christman, IEEE Photon. Technol. Lett. 11, 653 (1999).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Lett. (2)

Opt. Quantum Electron. (1)

G. I. Stegeman, D. J. Hagan, and L. Toner, Opt. Quantum Electron. 28, 1691 (1996).
[CrossRef]

Phys. Rev. (1)

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Phys. Rev. Lett. (2)

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[CrossRef]

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef] [PubMed]

Other (2)

C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1976).

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

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