Abstract

A design for omnidirectional high reflectors with quarter-wave dielectric stacks in the optical telecommunication band that uses conventional optical thin-film design theory is described. The omnidirectional bandwidth is derived in units of wavelength and investigated as a function of its high- and low-refractive-index values in the near infrared. The results show that the high refractive index should be larger than 2.26 for an omnidirectional high reflector and that the low refractive index for maximum omnidirectional bandwidth should be ∼1.5. It is shown that one can design broad-bandwidth omnidirectional high reflectors for S, C, and L bands for optical telecommunication simply by connecting the band edges of omnidirectional high reflectors.

© 2002 Optical Society of America

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  1. J. N. Winn, Y. Fink, S. Fan, J. D. Joannopoulos, “Omnidirectional reflection from a one-dimensional photonic crystal,” Opt. Lett. 23, 1573–1575 (1998).
    [CrossRef]
  2. E. Yablonovitch, “Engineered omnidirectional external-reflectivity spectra from one-dimensional layered interference filters,” Opt. Lett. 23, 1648–1649 (1998).
    [CrossRef]
  3. Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
    [CrossRef] [PubMed]
  4. K. M. Chen, A. W. Sparks, H.-C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
    [CrossRef]
  5. G. V. Morozov, R. Gr. Maev, G. W. F. Drake, “Switching of electromagnetic waves by two-layered periodic dielectric structures,” Phys. Rev. E 60, 4860–4867 (1999).
    [CrossRef]
  6. T. Kawanishi, M. Izutsu, “Coaxial periodic optical waveguide,” Opt. Express 7, 10–22 (2000), http://www.opticsexpress.org .
    [CrossRef] [PubMed]
  7. M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, J. D. Joannopoulos, “An all-dielectric coaxial waveguide,” Science 289, 415–419 (2000).
    [CrossRef] [PubMed]
  8. W. H. Southwell, “Omnidirectional mirror design with quarter-wave dielectric stacks,” Appl. Opt. 38, 5464–5467 (1999).
    [CrossRef]
  9. H. A. Macleod, Thin-Film Optical Filters, 2nd ed. (Macmillan, New York, 1986), pp. 158–187.
  10. C. K. Hwangbo, Thin-Film Optics (Dasung, Seoul, 1999; in Korean), pp. 91–103.
  11. P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988), pp. 118–128.

2000 (2)

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, J. D. Joannopoulos, “An all-dielectric coaxial waveguide,” Science 289, 415–419 (2000).
[CrossRef] [PubMed]

T. Kawanishi, M. Izutsu, “Coaxial periodic optical waveguide,” Opt. Express 7, 10–22 (2000), http://www.opticsexpress.org .
[CrossRef] [PubMed]

1999 (3)

W. H. Southwell, “Omnidirectional mirror design with quarter-wave dielectric stacks,” Appl. Opt. 38, 5464–5467 (1999).
[CrossRef]

K. M. Chen, A. W. Sparks, H.-C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

G. V. Morozov, R. Gr. Maev, G. W. F. Drake, “Switching of electromagnetic waves by two-layered periodic dielectric structures,” Phys. Rev. E 60, 4860–4867 (1999).
[CrossRef]

1998 (3)

Chen, C.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

Chen, K. M.

K. M. Chen, A. W. Sparks, H.-C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

Drake, G. W. F.

G. V. Morozov, R. Gr. Maev, G. W. F. Drake, “Switching of electromagnetic waves by two-layered periodic dielectric structures,” Phys. Rev. E 60, 4860–4867 (1999).
[CrossRef]

Fan, S.

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, J. D. Joannopoulos, “An all-dielectric coaxial waveguide,” Science 289, 415–419 (2000).
[CrossRef] [PubMed]

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

J. N. Winn, Y. Fink, S. Fan, J. D. Joannopoulos, “Omnidirectional reflection from a one-dimensional photonic crystal,” Opt. Lett. 23, 1573–1575 (1998).
[CrossRef]

Fink, Y.

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, J. D. Joannopoulos, “An all-dielectric coaxial waveguide,” Science 289, 415–419 (2000).
[CrossRef] [PubMed]

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

J. N. Winn, Y. Fink, S. Fan, J. D. Joannopoulos, “Omnidirectional reflection from a one-dimensional photonic crystal,” Opt. Lett. 23, 1573–1575 (1998).
[CrossRef]

Hwangbo, C. K.

C. K. Hwangbo, Thin-Film Optics (Dasung, Seoul, 1999; in Korean), pp. 91–103.

Ibanescu, M.

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, J. D. Joannopoulos, “An all-dielectric coaxial waveguide,” Science 289, 415–419 (2000).
[CrossRef] [PubMed]

Izutsu, M.

Joannopoulos, J. D.

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, J. D. Joannopoulos, “An all-dielectric coaxial waveguide,” Science 289, 415–419 (2000).
[CrossRef] [PubMed]

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

J. N. Winn, Y. Fink, S. Fan, J. D. Joannopoulos, “Omnidirectional reflection from a one-dimensional photonic crystal,” Opt. Lett. 23, 1573–1575 (1998).
[CrossRef]

Kawanishi, T.

Kimerling, L. C.

K. M. Chen, A. W. Sparks, H.-C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

Lim, D. R.

K. M. Chen, A. W. Sparks, H.-C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

Luan, H.-C.

K. M. Chen, A. W. Sparks, H.-C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

Macleod, H. A.

H. A. Macleod, Thin-Film Optical Filters, 2nd ed. (Macmillan, New York, 1986), pp. 158–187.

Maev, R. Gr.

G. V. Morozov, R. Gr. Maev, G. W. F. Drake, “Switching of electromagnetic waves by two-layered periodic dielectric structures,” Phys. Rev. E 60, 4860–4867 (1999).
[CrossRef]

Michel, J.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

Morozov, G. V.

G. V. Morozov, R. Gr. Maev, G. W. F. Drake, “Switching of electromagnetic waves by two-layered periodic dielectric structures,” Phys. Rev. E 60, 4860–4867 (1999).
[CrossRef]

Southwell, W. H.

Sparks, A. W.

K. M. Chen, A. W. Sparks, H.-C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

Thomas, E. L.

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, J. D. Joannopoulos, “An all-dielectric coaxial waveguide,” Science 289, 415–419 (2000).
[CrossRef] [PubMed]

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

Wada, K.

K. M. Chen, A. W. Sparks, H.-C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

Winn, J. N.

J. N. Winn, Y. Fink, S. Fan, J. D. Joannopoulos, “Omnidirectional reflection from a one-dimensional photonic crystal,” Opt. Lett. 23, 1573–1575 (1998).
[CrossRef]

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

Yablonovitch, E.

Yeh, P.

P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988), pp. 118–128.

Appl. Opt. (1)

Appl. Phys. Lett. (1)

K. M. Chen, A. W. Sparks, H.-C. Luan, D. R. Lim, K. Wada, L. C. Kimerling, “SiO2/TiO2 omnidirectional reflector and microcavity resonator via the sol-gel method,” Appl. Phys. Lett. 75, 3805–3807 (1999).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Phys. Rev. E (1)

G. V. Morozov, R. Gr. Maev, G. W. F. Drake, “Switching of electromagnetic waves by two-layered periodic dielectric structures,” Phys. Rev. E 60, 4860–4867 (1999).
[CrossRef]

Science (2)

M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, J. D. Joannopoulos, “An all-dielectric coaxial waveguide,” Science 289, 415–419 (2000).
[CrossRef] [PubMed]

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679–1682 (1998).
[CrossRef] [PubMed]

Other (3)

H. A. Macleod, Thin-Film Optical Filters, 2nd ed. (Macmillan, New York, 1986), pp. 158–187.

C. K. Hwangbo, Thin-Film Optics (Dasung, Seoul, 1999; in Korean), pp. 91–103.

P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988), pp. 118–128.

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