Abstract

We present a powerful design and optimization method for devices in a photonic crystal. The method is based on a Wannier basis field expansion and efficient matrix analysis techniques for searching through a vast number of designs. The method permits the design of many compact optical devices with complex and novel functions. We present a design example of a very compact mode separator that is 8.2 µm×13.3 µm in size that demultiplexes the three modes of an input photonic crystal multimode waveguide into three single-mode output waveguides. We verify the method with finite-difference time-domain calculations.

© 2005 Optical Society of America

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  1. A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 2nd ed. (Artech House, Norwood, Mass., 2000).
  2. S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 173 (2001), http://www.opticsexpress.org .
    [CrossRef] [PubMed]
  3. R. Wilson, T. J. Karle, I. Moerman, and T. F. Krauss, J. Opt. A Pure Appl. Opt. 5, S76 (2003).
    [CrossRef]
  4. J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, IEEE J. Quantum Electron. 38, 850 (2002).
    [CrossRef]
  5. Z. Y. Li and K. M. Ho, Phys. Rev. B 68, 155101 (2003).
    [CrossRef]
  6. E. Moreno, D. Erni, and C. Hafner, Phys. Rev. E 66, 036618 (2002).
    [CrossRef]
  7. J. P. Albert, C. Jouanin, D. Cassagne, and D. Bertho, Phys. Rev. B 61, 4381 (2000).
    [CrossRef]
  8. K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, J. Phys. Condens. Matter 15, R1233 (2003).
    [CrossRef]
  9. R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge U. Press, Cambridge, England, 1990), p. 561.
  10. B. T. Lee and S. Y. Shin, Opt. Lett. 28, 1660 (2003).
    [CrossRef] [PubMed]
  11. J. Leuthold, J. Eckner, E. Gamper, P. A. Besse, and H. Melchior, J. Lightwave Technol. 16, 1228 (1998).
    [CrossRef]
  12. Y. Jiao, S. Fan, and D. A. B. Miller, “Photonic crystal device sensitivity analysis with Wannier basis gradients,” Opt. Lett. (to be published).

2003 (4)

R. Wilson, T. J. Karle, I. Moerman, and T. F. Krauss, J. Opt. A Pure Appl. Opt. 5, S76 (2003).
[CrossRef]

Z. Y. Li and K. M. Ho, Phys. Rev. B 68, 155101 (2003).
[CrossRef]

K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, J. Phys. Condens. Matter 15, R1233 (2003).
[CrossRef]

B. T. Lee and S. Y. Shin, Opt. Lett. 28, 1660 (2003).
[CrossRef] [PubMed]

2002 (2)

E. Moreno, D. Erni, and C. Hafner, Phys. Rev. E 66, 036618 (2002).
[CrossRef]

J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, IEEE J. Quantum Electron. 38, 850 (2002).
[CrossRef]

2001 (1)

2000 (1)

J. P. Albert, C. Jouanin, D. Cassagne, and D. Bertho, Phys. Rev. B 61, 4381 (2000).
[CrossRef]

1998 (1)

Albert, J. P.

J. P. Albert, C. Jouanin, D. Cassagne, and D. Bertho, Phys. Rev. B 61, 4381 (2000).
[CrossRef]

Bertho, D.

J. P. Albert, C. Jouanin, D. Cassagne, and D. Bertho, Phys. Rev. B 61, 4381 (2000).
[CrossRef]

Besse, P. A.

Busch, K.

K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, J. Phys. Condens. Matter 15, R1233 (2003).
[CrossRef]

Cassagne, D.

J. P. Albert, C. Jouanin, D. Cassagne, and D. Bertho, Phys. Rev. B 61, 4381 (2000).
[CrossRef]

Eckner, J.

Erni, D.

E. Moreno, D. Erni, and C. Hafner, Phys. Rev. E 66, 036618 (2002).
[CrossRef]

Fan, S.

Y. Jiao, S. Fan, and D. A. B. Miller, “Photonic crystal device sensitivity analysis with Wannier basis gradients,” Opt. Lett. (to be published).

Gamper, E.

Garcia-Martin, A.

K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, J. Phys. Condens. Matter 15, R1233 (2003).
[CrossRef]

Hafner, C.

E. Moreno, D. Erni, and C. Hafner, Phys. Rev. E 66, 036618 (2002).
[CrossRef]

Hagness, S. C.

A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 2nd ed. (Artech House, Norwood, Mass., 2000).

Hermann, D.

K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, J. Phys. Condens. Matter 15, R1233 (2003).
[CrossRef]

Ho, K. M.

Z. Y. Li and K. M. Ho, Phys. Rev. B 68, 155101 (2003).
[CrossRef]

Horn, R. A.

R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge U. Press, Cambridge, England, 1990), p. 561.

Jiao, Y.

Y. Jiao, S. Fan, and D. A. B. Miller, “Photonic crystal device sensitivity analysis with Wannier basis gradients,” Opt. Lett. (to be published).

Joannopoulos, J. D.

Johnson, C. R.

R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge U. Press, Cambridge, England, 1990), p. 561.

Johnson, S. G.

Jouanin, C.

J. P. Albert, C. Jouanin, D. Cassagne, and D. Bertho, Phys. Rev. B 61, 4381 (2000).
[CrossRef]

Karle, T. J.

R. Wilson, T. J. Karle, I. Moerman, and T. F. Krauss, J. Opt. A Pure Appl. Opt. 5, S76 (2003).
[CrossRef]

Krauss, T. F.

R. Wilson, T. J. Karle, I. Moerman, and T. F. Krauss, J. Opt. A Pure Appl. Opt. 5, S76 (2003).
[CrossRef]

Lee, B. T.

Leuthold, J.

Li, Z. Y.

Z. Y. Li and K. M. Ho, Phys. Rev. B 68, 155101 (2003).
[CrossRef]

Loncar, M.

J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, IEEE J. Quantum Electron. 38, 850 (2002).
[CrossRef]

Mabuchi, H.

J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, IEEE J. Quantum Electron. 38, 850 (2002).
[CrossRef]

Melchior, H.

Miller, D. A. B.

Y. Jiao, S. Fan, and D. A. B. Miller, “Photonic crystal device sensitivity analysis with Wannier basis gradients,” Opt. Lett. (to be published).

Mingaleev, S. F.

K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, J. Phys. Condens. Matter 15, R1233 (2003).
[CrossRef]

Moerman, I.

R. Wilson, T. J. Karle, I. Moerman, and T. F. Krauss, J. Opt. A Pure Appl. Opt. 5, S76 (2003).
[CrossRef]

Moreno, E.

E. Moreno, D. Erni, and C. Hafner, Phys. Rev. E 66, 036618 (2002).
[CrossRef]

Scherer, A.

J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, IEEE J. Quantum Electron. 38, 850 (2002).
[CrossRef]

Schillinger, M.

K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, J. Phys. Condens. Matter 15, R1233 (2003).
[CrossRef]

Shin, S. Y.

Taflove, A.

A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 2nd ed. (Artech House, Norwood, Mass., 2000).

Vuckovic, J.

J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, IEEE J. Quantum Electron. 38, 850 (2002).
[CrossRef]

Wilson, R.

R. Wilson, T. J. Karle, I. Moerman, and T. F. Krauss, J. Opt. A Pure Appl. Opt. 5, S76 (2003).
[CrossRef]

IEEE J. Quantum Electron. (1)

J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, IEEE J. Quantum Electron. 38, 850 (2002).
[CrossRef]

J. Lightwave Technol. (1)

J. Opt. A Pure Appl. Opt. (1)

R. Wilson, T. J. Karle, I. Moerman, and T. F. Krauss, J. Opt. A Pure Appl. Opt. 5, S76 (2003).
[CrossRef]

J. Phys. Condens. Matter (1)

K. Busch, S. F. Mingaleev, A. Garcia-Martin, M. Schillinger, and D. Hermann, J. Phys. Condens. Matter 15, R1233 (2003).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. B (2)

Z. Y. Li and K. M. Ho, Phys. Rev. B 68, 155101 (2003).
[CrossRef]

J. P. Albert, C. Jouanin, D. Cassagne, and D. Bertho, Phys. Rev. B 61, 4381 (2000).
[CrossRef]

Phys. Rev. E (1)

E. Moreno, D. Erni, and C. Hafner, Phys. Rev. E 66, 036618 (2002).
[CrossRef]

Other (3)

A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 2nd ed. (Artech House, Norwood, Mass., 2000).

R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge U. Press, Cambridge, England, 1990), p. 561.

Y. Jiao, S. Fan, and D. A. B. Miller, “Photonic crystal device sensitivity analysis with Wannier basis gradients,” Opt. Lett. (to be published).

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