Abstract

We determine the range of thicknesses and refractive indices for which omnidirectional reflection from quasiperiodic dielectric multilayers occurs. By resorting to the notion of area under the transmittance curve, we assess in a systematic way the performance of the different Fibonacci multilayers.

© 2005 Optical Society of America

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    [CrossRef]
  2. S. John, �??Strong localization of photons in certain disordered dielectric superlattices,�?? Phys. Rev. Lett. 58, 2486-9 (1987).
    [CrossRef]
  3. A complete and up-to-date bibliography on the subject can be found at <a href="http://home.earthlink.net/~jpdowling/pbgbib.html">http://home.earthlink.net/~jpdowling/pbgbib.html</a>.
  4. P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).
  5. J. Lekner, Theory of Reflection (Dordrecht, The Netherlands, 1987).
  6. Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, �??A dielectric omnidirectional reflector,�?? Science 282, 1679-82 (1998).
    [CrossRef]
  7. J. P. Dowling, �??Mirror on the wall: you�??re omnidirectional after all?,�?? Science 282, 1841-2 (1998).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  15. A. Latgé and F. Claro, �??Optical propagation in multilayered systems,�?? Opt. Commun. 94, 389-96 (1992).
    [CrossRef]
  16. N. H. Liu, �??Propagation of light waves in Thue-Morse dielectric multilayers,�?? Phys. Rev. B 55, 3543-7 (1997.
    [CrossRef]
  17. M. S. Vasconcelos and E. L. Albuquerque, �??Transmission fingerprints in quasiperiodic dielectric multilayers,�?? Phys. Rev. B 59, 11128-31 (1999).
    [CrossRef]
  18. E. Maciá, �??Exploiting quasiperiodic order in the design of optical devices,�?? Phys. Rev. B 63, 205421 (2001).
    [CrossRef]
  19. E. Maciá, �??Optical engineering with Fibonacci dielectric multilayers,�?? Appl. Phys. Lett. 73, 3330-2 (1998).
    [CrossRef]
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    [CrossRef]
  22. R. W. Peng, X. Q. Huang, F. Qiu, M. Wang, A. Hu, S. S. Jiang, and M. Mazzer, �??Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers,�?? Appl. Phys. Lett. 80, 3063-5 (2002).
    [CrossRef]
  23. J. W. Dong, P. Han, and H. Z. Wang, �??Broad omnidirectional reflection band forming using the combination of Fibonacci quasi-periodic and periodic one-dimensional photonic crystals,�?? Chin. Phys. Lett. 20, 1963-5 (2003).
  24. T. Yonte, J. J. Monzón, A. Felipe, and L. L. Sánchez-Soto, �??Optimizing omnidirectional reflection by multilayer mirrors,�?? J. Opt. A 6, 127-31 (2004).
  25. M. Kohmoto, L. P. Kadanoff, and C. Tang, �??Localization problem in one dimension: Mapping and escape,�?? Phys. Rev. Lett. 50, 1870-2 (1983).
    [CrossRef]
  26. D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, �??All-dielectric one-dimensional periodic structures for total omnidirectional reflection and partial spontaneous emission control,�?? J. Lightw. Technol. 17, 2018-24 (1999).
    [CrossRef]

Appl. Opt. (3)

Appl. Phys. A (1)

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, �??Observation of total omnidirectional reflection from a one-dimensional dielectric lattice,�?? Appl. Phys. A 68, 25-8 (1999).
[CrossRef]

Appl. Phys. Lett. (2)

R. W. Peng, X. Q. Huang, F. Qiu, M. Wang, A. Hu, S. S. Jiang, and M. Mazzer, �??Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers,�?? Appl. Phys. Lett. 80, 3063-5 (2002).
[CrossRef]

E. Maciá, �??Optical engineering with Fibonacci dielectric multilayers,�?? Appl. Phys. Lett. 73, 3330-2 (1998).
[CrossRef]

Chin. Phys. Lett. (1)

J. W. Dong, P. Han, and H. Z. Wang, �??Broad omnidirectional reflection band forming using the combination of Fibonacci quasi-periodic and periodic one-dimensional photonic crystals,�?? Chin. Phys. Lett. 20, 1963-5 (2003).

J. Lightw. Technol. (1)

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, �??All-dielectric one-dimensional periodic structures for total omnidirectional reflection and partial spontaneous emission control,�?? J. Lightw. Technol. 17, 2018-24 (1999).
[CrossRef]

J. Opt. A (2)

T. Yonte, J. J. Monzón, A. Felipe, and L. L. Sánchez-Soto, �??Optimizing omnidirectional reflection by multilayer mirrors,�?? J. Opt. A 6, 127-31 (2004).

J. Lekner �??Omnidirectional reflection by multilayer dielectric mirrors,�?? J. Opt. A 2, 349-53 (2000).

Opt. Commun. (2)

A. Latgé and F. Claro, �??Optical propagation in multilayered systems,�?? Opt. Commun. 94, 389-96 (1992).
[CrossRef]

D. Lusk, I. Abdulhalim and F. Placido, �??Omnidirectional reflection from Fibonacci quasi-periodic one-dimensional photonic crystal,�?? Opt. Commun. 198, 273-9 (2001).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. B (4)

M. Dulea, M. Severin, and R. Riklund, �??Transmission of light through deterministic aperiodic non-Fibonaccian multilayers,�?? Phys. Rev. B 42, 3680-9 (1990).
[CrossRef]

N. H. Liu, �??Propagation of light waves in Thue-Morse dielectric multilayers,�?? Phys. Rev. B 55, 3543-7 (1997.
[CrossRef]

M. S. Vasconcelos and E. L. Albuquerque, �??Transmission fingerprints in quasiperiodic dielectric multilayers,�?? Phys. Rev. B 59, 11128-31 (1999).
[CrossRef]

E. Maciá, �??Exploiting quasiperiodic order in the design of optical devices,�?? Phys. Rev. B 63, 205421 (2001).
[CrossRef]

Phys. Rev. Lett. (4)

M. Kohmoto, L. P. Kadanoff, and C. Tang, �??Localization problem in one dimension: Mapping and escape,�?? Phys. Rev. Lett. 50, 1870-2 (1983).
[CrossRef]

M. Kohmoto, B. Sutherland, and K. Iguchi, �??Localization of optics: Quasiperiodic media,�?? Phys. Rev. Lett. 58, 2436-8 (1987).
[CrossRef]

E. Yablonovitch, �??Inhibited spontaneous emission in solid-state physics and electronics,�?? Phys. Rev. Lett. 58, 2059-62 (1987).
[CrossRef]

S. John, �??Strong localization of photons in certain disordered dielectric superlattices,�?? Phys. Rev. Lett. 58, 2486-9 (1987).
[CrossRef]

Science (2)

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, �??A dielectric omnidirectional reflector,�?? Science 282, 1679-82 (1998).
[CrossRef]

J. P. Dowling, �??Mirror on the wall: you�??re omnidirectional after all?,�?? Science 282, 1841-2 (1998).
[CrossRef]

Other (3)

A complete and up-to-date bibliography on the subject can be found at <a href="http://home.earthlink.net/~jpdowling/pbgbib.html">http://home.earthlink.net/~jpdowling/pbgbib.html</a>.

P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).

J. Lekner, Theory of Reflection (Dordrecht, The Netherlands, 1987).

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