Abstract

A nonlinear finite-difference time-domain method was used to investigate optical switching mechanisms with a nonlinear photonic crystal and with two electromagnetic pulses with different frequencies. It was found that the mechanism based on the shifting of the band edge required the detector to discriminate between the pump and the probe frequencies, whereas that based on frequency mixing did not.

© 1996 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. For a review seeJ. D. Joannopoulos, R. D. Meade, J. N. Winn, Photonic Crystals (Princeton U. Press, Princeton, N.J., 1995).
  2. M. Scalora, J. P. Dowling, C. M. Bowden, M. J. Bloemer, Phys. Rev. Lett. 73, 1368 (1994).
    [CrossRef] [PubMed]
  3. K. Hayata, A. Misawa, M. Koshiba, J. Opt. Soc. Am. B 7, 1268 (1990).
    [CrossRef]
  4. S. V. Polstyanko, R. Dyczij-Edlinger, J. F. Lee, Opt. Lett. 21,98 (1996).
    [CrossRef] [PubMed]
  5. P. M. Goorjian, A. Taflove, Opt. Lett. 17,180 (1992).
    [CrossRef] [PubMed]
  6. G. Mur, IEEE Trans. Electron. Comput. EMC-23,377 (1981).
    [CrossRef]
  7. W. Chen, D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
    [CrossRef] [PubMed]

1996

1994

M. Scalora, J. P. Dowling, C. M. Bowden, M. J. Bloemer, Phys. Rev. Lett. 73, 1368 (1994).
[CrossRef] [PubMed]

1992

1990

1987

W. Chen, D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
[CrossRef] [PubMed]

1981

G. Mur, IEEE Trans. Electron. Comput. EMC-23,377 (1981).
[CrossRef]

Bloemer, M. J.

M. Scalora, J. P. Dowling, C. M. Bowden, M. J. Bloemer, Phys. Rev. Lett. 73, 1368 (1994).
[CrossRef] [PubMed]

Bowden, C. M.

M. Scalora, J. P. Dowling, C. M. Bowden, M. J. Bloemer, Phys. Rev. Lett. 73, 1368 (1994).
[CrossRef] [PubMed]

Chen, W.

W. Chen, D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
[CrossRef] [PubMed]

Dowling, J. P.

M. Scalora, J. P. Dowling, C. M. Bowden, M. J. Bloemer, Phys. Rev. Lett. 73, 1368 (1994).
[CrossRef] [PubMed]

Dyczij-Edlinger, R.

Goorjian, P. M.

Hayata, K.

Joannopoulos, J. D.

For a review seeJ. D. Joannopoulos, R. D. Meade, J. N. Winn, Photonic Crystals (Princeton U. Press, Princeton, N.J., 1995).

Koshiba, M.

Lee, J. F.

Meade, R. D.

For a review seeJ. D. Joannopoulos, R. D. Meade, J. N. Winn, Photonic Crystals (Princeton U. Press, Princeton, N.J., 1995).

Mills, D. L.

W. Chen, D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
[CrossRef] [PubMed]

Misawa, A.

Mur, G.

G. Mur, IEEE Trans. Electron. Comput. EMC-23,377 (1981).
[CrossRef]

Polstyanko, S. V.

Scalora, M.

M. Scalora, J. P. Dowling, C. M. Bowden, M. J. Bloemer, Phys. Rev. Lett. 73, 1368 (1994).
[CrossRef] [PubMed]

Taflove, A.

Winn, J. N.

For a review seeJ. D. Joannopoulos, R. D. Meade, J. N. Winn, Photonic Crystals (Princeton U. Press, Princeton, N.J., 1995).

IEEE Trans. Electron. Comput.

G. Mur, IEEE Trans. Electron. Comput. EMC-23,377 (1981).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Lett.

Phys. Rev. Lett.

W. Chen, D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).
[CrossRef] [PubMed]

M. Scalora, J. P. Dowling, C. M. Bowden, M. J. Bloemer, Phys. Rev. Lett. 73, 1368 (1994).
[CrossRef] [PubMed]

Other

For a review seeJ. D. Joannopoulos, R. D. Meade, J. N. Winn, Photonic Crystals (Princeton U. Press, Princeton, N.J., 1995).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Plot of the transmission versus frequency for a 21-layer quarter-wave reflector. The inset shows a diagram of the quarter-wave reflector. The arrows indicate the frequency of the probe and the pump beams.

Fig. 2
Fig. 2

Plot of the spectrum of the transmitted pulse in the cases with (solid curve) and without (dashed curve) the pump beam.

Fig. 3
Fig. 3

Plot of the spatial distribution of the intensity. The dashed curve is the initial pulse, which comprises two beams with frequencies ω = 0.95 and 1.05 and field strengths 1.0 and 10.0, respectively. The solid curve is after propagation for a time ct = 250λ0. The final pulse has scattered off the nonlinear quarter-wave reflector and is traveling to the left.

Fig. 4
Fig. 4

Plot of the temporal profile of the transmitted pulse corresponding to the case of Fig. 3.

Fig. 5
Fig. 5

Plot of the spectrum of Fig. 4.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

D ( r ) = E ( r ) + χ | E ( r ) | 2 E ( r ) .
| D ( r ) | 2 = | | 2 A + 2 Re ( * χ ) A 2 + | χ | 2 A 3 .
E z ( x , t ) = ξ exp { i ω 0 / c 0 [ c 0 t 0 ( x x 0 ) ] [ c 0 t 0 ( x x 0 ) ] 2 ( Δ ω / c 0 ) 2 / 2 } ,

Metrics