Abstract

We present general criteria for crossing perpendicular waveguides with nearly 100% throughput and 0% cross talk. Our design applies even when the waveguide width is of the order of the wavelength. The theoretical basis for this phenomenon is explained in terms of symmetry considerations and resonant tunneling and is then illustrated with numerical simulations for both a two-dimensional photonic crystal and a conventional high-index-contrast waveguide crossing. Cross-talk reduction by up to 8 orders of magnitude is achieved relative to unmodified crossings.

© 1998 Optical Society of America

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  1. K. Aretz and H. Bülow, Electron. Lett. 25, 730 (1989).
  2. M. G. Daly, P. E. Jessop, and D. Yevick, J. Lightwave Technol. 14, 1695 (1996).
  3. H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, Englewood Cliffs, N.J., 1984), Chap. 7.
  4. See, e.g., M. Tinkham, Group Theory and Quantum Mechanics (McGraw-Hill, New York, 1964).
  5. J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, Nature (London) 386, 143 (1997).
  6. P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 54, 7837 (1996).
  7. See, e.g., K. S. Kunz and R. J. Luebbers, The Finite-Difference Time-Domain Methods (CRC, Boca Raton, Fla., 1993).
  8. S. Fan, J. N. Winn, A. Devenyi, J. C. Chen, R. D. Meade, and J. D. Joannopoulos, J. Opt. Soc. Am. B 12, 1267 (1995).
  9. See, e.g., H. A. Haus and Y. Lai, IEEE J. Quantum Electron. 28, 205 (1992).

1997

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

1996

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 54, 7837 (1996).

M. G. Daly, P. E. Jessop, and D. Yevick, J. Lightwave Technol. 14, 1695 (1996).

1995

1993

See, e.g., K. S. Kunz and R. J. Luebbers, The Finite-Difference Time-Domain Methods (CRC, Boca Raton, Fla., 1993).

1992

See, e.g., H. A. Haus and Y. Lai, IEEE J. Quantum Electron. 28, 205 (1992).

1989

K. Aretz and H. Bülow, Electron. Lett. 25, 730 (1989).

1984

H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, Englewood Cliffs, N.J., 1984), Chap. 7.

1964

See, e.g., M. Tinkham, Group Theory and Quantum Mechanics (McGraw-Hill, New York, 1964).

Aretz, K.

K. Aretz and H. Bülow, Electron. Lett. 25, 730 (1989).

Bülow, H.

K. Aretz and H. Bülow, Electron. Lett. 25, 730 (1989).

Chen, J. C.

Daly, M. G.

M. G. Daly, P. E. Jessop, and D. Yevick, J. Lightwave Technol. 14, 1695 (1996).

Devenyi, A.

Fan, S.

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

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 54, 7837 (1996).

S. Fan, J. N. Winn, A. Devenyi, J. C. Chen, R. D. Meade, and J. D. Joannopoulos, J. Opt. Soc. Am. B 12, 1267 (1995).

Haus, H. A.

See, e.g., H. A. Haus and Y. Lai, IEEE J. Quantum Electron. 28, 205 (1992).

H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, Englewood Cliffs, N.J., 1984), Chap. 7.

Jessop, P. E.

M. G. Daly, P. E. Jessop, and D. Yevick, J. Lightwave Technol. 14, 1695 (1996).

Joannopoulos, J. D.

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

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 54, 7837 (1996).

S. Fan, J. N. Winn, A. Devenyi, J. C. Chen, R. D. Meade, and J. D. Joannopoulos, J. Opt. Soc. Am. B 12, 1267 (1995).

Kunz, K. S.

See, e.g., K. S. Kunz and R. J. Luebbers, The Finite-Difference Time-Domain Methods (CRC, Boca Raton, Fla., 1993).

Lai, Y.

See, e.g., H. A. Haus and Y. Lai, IEEE J. Quantum Electron. 28, 205 (1992).

Luebbers, R. J.

See, e.g., K. S. Kunz and R. J. Luebbers, The Finite-Difference Time-Domain Methods (CRC, Boca Raton, Fla., 1993).

Meade, R. D.

Tinkham, M.

See, e.g., M. Tinkham, Group Theory and Quantum Mechanics (McGraw-Hill, New York, 1964).

Villeneuve, P. R.

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

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 54, 7837 (1996).

Winn, J. N.

Yevick, D.

M. G. Daly, P. E. Jessop, and D. Yevick, J. Lightwave Technol. 14, 1695 (1996).

Electron. Lett.

K. Aretz and H. Bülow, Electron. Lett. 25, 730 (1989).

IEEE J. Quantum Electron.

See, e.g., H. A. Haus and Y. Lai, IEEE J. Quantum Electron. 28, 205 (1992).

J. Lightwave Technol.

M. G. Daly, P. E. Jessop, and D. Yevick, J. Lightwave Technol. 14, 1695 (1996).

J. Opt. Soc. Am. B

Nature

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

Phys. Rev. B

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 54, 7837 (1996).

Other

See, e.g., K. S. Kunz and R. J. Luebbers, The Finite-Difference Time-Domain Methods (CRC, Boca Raton, Fla., 1993).

H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, Englewood Cliffs, N.J., 1984), Chap. 7.

See, e.g., M. Tinkham, Group Theory and Quantum Mechanics (McGraw-Hill, New York, 1964).

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