Abstract

Dielectric reflectors that are periodic in one dimension, also known as one-dimensional photonic crystals (1DPCs), have become extremely useful tools in the optics industry due to the presence of wavelength-tunable photonic bandgaps. However, little is known about the practical effects of manufacturing defects, such as interfacial roughness, on this technologically useful property of 1DPCs. We employ a finite-difference time-domain code to gain further insight into the effect of interfacial roughness on the reflectivity of quarter-wave-tuned 1DPCs in the center of the bandgap at normal incidence. This provides an estimate of the magnitude of the effect of the roughness for even the most-robust incidence conditions.

© 2004 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2001 (2)

1999 (1)

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. Gaponenko, Appl. Phys. A 68, 25 (1999).
[CrossRef]

1998 (2)

Y. Fink, J. N. Winn, S. H. Fan, C. P. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

J. N. Winn, Y. Fink, S. H. Fan, and J. D. Joannopoulos, Opt. Lett. 23, 1573 (1998).
[CrossRef]

1995 (1)

1994 (2)

J. P. Berenger, J. Comput. Phys. 114, 185 (1994).
[CrossRef]

C. Amra, J. Opt. Soc. Am. A 11, 197 (1994).
[CrossRef]

1966 (1)

K. S. Yee, IEEE Trans. Antennas Propag. AP–14, 302 (1966).

Amra, C.

Berenger, J. P.

J. P. Berenger, J. Comput. Phys. 114, 185 (1994).
[CrossRef]

Chen, C. P.

Y. Fink, J. N. Winn, S. H. Fan, C. P. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Chigrin, D. N.

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. Gaponenko, Appl. Phys. A 68, 25 (1999).
[CrossRef]

Deopura, M.

Elson, J. M.

Fan, S. H.

J. N. Winn, Y. Fink, S. H. Fan, and J. D. Joannopoulos, Opt. Lett. 23, 1573 (1998).
[CrossRef]

Y. Fink, J. N. Winn, S. H. Fan, C. P. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Fink, Y.

Gaponenko, S.

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. Gaponenko, Appl. Phys. A 68, 25 (1999).
[CrossRef]

Hagness, S. C.

A. Taflove and S. C. Hagness, Computational Electro-dynamics, 2nd ed. (Artech House, Norwood, Mass., 2000).

Joannopoulos, J. D.

B. Temelkuran, E. L. Thomas, J. D. Joannopoulos, and Y. Fink, Opt. Lett. 26, 1370 (2001).
[CrossRef]

Y. Fink, J. N. Winn, S. H. Fan, C. P. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

J. N. Winn, Y. Fink, S. H. Fan, and J. D. Joannopoulos, Opt. Lett. 23, 1573 (1998).
[CrossRef]

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

Kong, J. A.

J. A. Kong, Electromagnetic Wave Theory (EMW, Cambridge, Mass., 2000).

Lavrinenko, A. V.

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. Gaponenko, Appl. Phys. A 68, 25 (1999).
[CrossRef]

Meade, R. D.

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

Michel, J.

Y. Fink, J. N. Winn, S. H. Fan, C. P. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Sullivan, D. M.

D. M. Sullivan, Electromagnetic Simulation Using the FDTD Method (Institute of Electrical and Electronics Engineers, Piscataway, N.J., 2000).

Taflove, A.

A. Taflove and S. C. Hagness, Computational Electro-dynamics, 2nd ed. (Artech House, Norwood, Mass., 2000).

Temelkuran, B.

Thomas, E. L.

B. Temelkuran, E. L. Thomas, J. D. Joannopoulos, and Y. Fink, Opt. Lett. 26, 1370 (2001).
[CrossRef]

Y. Fink, J. N. Winn, S. H. Fan, C. P. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Ullal, C. K.

Winn, J. N.

Y. Fink, J. N. Winn, S. H. Fan, C. P. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

J. N. Winn, Y. Fink, S. H. Fan, and J. D. Joannopoulos, Opt. Lett. 23, 1573 (1998).
[CrossRef]

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

Yarotsky, D. A.

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. Gaponenko, Appl. Phys. A 68, 25 (1999).
[CrossRef]

Yee, K. S.

K. S. Yee, IEEE Trans. Antennas Propag. AP–14, 302 (1966).

Appl. Phys. A (1)

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. Gaponenko, Appl. Phys. A 68, 25 (1999).
[CrossRef]

IEEE Trans. Antennas Propag. (1)

K. S. Yee, IEEE Trans. Antennas Propag. AP–14, 302 (1966).

J. Comput. Phys. (1)

J. P. Berenger, J. Comput. Phys. 114, 185 (1994).
[CrossRef]

J. Opt. Soc. Am. A (2)

Opt. Lett. (3)

Science (1)

Y. Fink, J. N. Winn, S. H. Fan, C. P. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Other (4)

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

J. A. Kong, Electromagnetic Wave Theory (EMW, Cambridge, Mass., 2000).

D. M. Sullivan, Electromagnetic Simulation Using the FDTD Method (Institute of Electrical and Electronics Engineers, Piscataway, N.J., 2000).

A. Taflove and S. C. Hagness, Computational Electro-dynamics, 2nd ed. (Artech House, Norwood, Mass., 2000).

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