Abstract

We demonstrate that one-dimensional photonic crystal structures (such as multilayer films) can exhibit complete reflection of radiation in a given frequency range for all incident angles and polarizations. We derive a general criterion for this behavior that does not require materials with very large indices. We perform numerical studies that illustrate this effect.

© 1998 Optical Society of America

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  1. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
  2. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals (U. Princeton Press, Princeton, N.J., 1995).
  3. J. Pendry, J. Mod. Opt. 41, 209 (1994).
  4. J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, Nature (London) 386, 143 (1997).
  5. P. Baumeister, Opt. Acta 8, 105 (1961).
  6. J. D. Rancourt, Optical Thin Films User Handbook (SPIE Optical Engineering Press, Bellingham, Wash., 1996), pp. 68–71.
  7. P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988), pp. 161–163.
  8. K. V. Popov, J. A. Dobrowolski, A. V. Tikhonravov, and B. T. Sullivan, Appl. Opt. 36, 2139 (1997).
  9. M. H. MacDougal, H. Zhao, P. D. Dapkus, M. Ziari, and W. H. Steier, Electron. Lett. 30, 1147 (1994).
  10. R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. B 77, 8434 (1993).
  11. P. Yeh, A. Yariv, and C.-S. Hong, J. Opt. Soc. Am. 67, 423 (1977).
  12. E. Hecht, Optics, 2nd ed. (Addison-Wesley, Reading, Mass., 1987), pp. 373–378.

1997

J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, Nature (London) 386, 143 (1997).

K. V. Popov, J. A. Dobrowolski, A. V. Tikhonravov, and B. T. Sullivan, Appl. Opt. 36, 2139 (1997).

1996

J. D. Rancourt, Optical Thin Films User Handbook (SPIE Optical Engineering Press, Bellingham, Wash., 1996), pp. 68–71.

1995

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

1994

J. Pendry, J. Mod. Opt. 41, 209 (1994).

M. H. MacDougal, H. Zhao, P. D. Dapkus, M. Ziari, and W. H. Steier, Electron. Lett. 30, 1147 (1994).

1993

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. B 77, 8434 (1993).

1988

P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988), pp. 161–163.

1987

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).

E. Hecht, Optics, 2nd ed. (Addison-Wesley, Reading, Mass., 1987), pp. 373–378.

1977

P. Yeh, A. Yariv, and C.-S. Hong, J. Opt. Soc. Am. 67, 423 (1977).

1961

P. Baumeister, Opt. Acta 8, 105 (1961).

Baumeister, P.

P. Baumeister, Opt. Acta 8, 105 (1961).

Brommer, K. D.

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. B 77, 8434 (1993).

Dapkus, P. D.

M. H. MacDougal, H. Zhao, P. D. Dapkus, M. Ziari, and W. H. Steier, Electron. Lett. 30, 1147 (1994).

Dobrowolski, J. A.

Fan, S.

J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, Nature (London) 386, 143 (1997).

Hecht, E.

E. Hecht, Optics, 2nd ed. (Addison-Wesley, Reading, Mass., 1987), pp. 373–378.

Hong, C.-S.

P. Yeh, A. Yariv, and C.-S. Hong, J. Opt. Soc. Am. 67, 423 (1977).

Joannopoulos, J. D.

J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, Nature (London) 386, 143 (1997).

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

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. B 77, 8434 (1993).

MacDougal, M. H.

M. H. MacDougal, H. Zhao, P. D. Dapkus, M. Ziari, and W. H. Steier, Electron. Lett. 30, 1147 (1994).

Meade, R. D.

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

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. B 77, 8434 (1993).

Pendry, J.

J. Pendry, J. Mod. Opt. 41, 209 (1994).

Popov, K. V.

Rancourt, J. D.

J. D. Rancourt, Optical Thin Films User Handbook (SPIE Optical Engineering Press, Bellingham, Wash., 1996), pp. 68–71.

Rappe, A. M.

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. B 77, 8434 (1993).

Steier, W. H.

M. H. MacDougal, H. Zhao, P. D. Dapkus, M. Ziari, and W. H. Steier, Electron. Lett. 30, 1147 (1994).

Sullivan, B. T.

Tikhonravov, A. V.

Villeneuve, P. R.

J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, Nature (London) 386, 143 (1997).

Winn, J. N.

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

Yablonovitch, E.

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).

Yariv, A.

P. Yeh, A. Yariv, and C.-S. Hong, J. Opt. Soc. Am. 67, 423 (1977).

Yeh, P.

P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988), pp. 161–163.

P. Yeh, A. Yariv, and C.-S. Hong, J. Opt. Soc. Am. 67, 423 (1977).

Zhao, H.

M. H. MacDougal, H. Zhao, P. D. Dapkus, M. Ziari, and W. H. Steier, Electron. Lett. 30, 1147 (1994).

Ziari, M.

M. H. MacDougal, H. Zhao, P. D. Dapkus, M. Ziari, and W. H. Steier, Electron. Lett. 30, 1147 (1994).

Appl. Opt.

Electron. Lett.

M. H. MacDougal, H. Zhao, P. D. Dapkus, M. Ziari, and W. H. Steier, Electron. Lett. 30, 1147 (1994).

J. Mod. Opt.

J. Pendry, J. Mod. Opt. 41, 209 (1994).

J. Opt. Soc. Am.

P. Yeh, A. Yariv, and C.-S. Hong, J. Opt. Soc. Am. 67, 423 (1977).

Nature (London)

J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, Nature (London) 386, 143 (1997).

Opt. Acta

P. Baumeister, Opt. Acta 8, 105 (1961).

Phys. Rev. B

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. B 77, 8434 (1993).

Phys. Rev. Lett.

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).

Other

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

J. D. Rancourt, Optical Thin Films User Handbook (SPIE Optical Engineering Press, Bellingham, Wash., 1996), pp. 68–71.

P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988), pp. 161–163.

E. Hecht, Optics, 2nd ed. (Addison-Wesley, Reading, Mass., 1987), pp. 373–378.

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