Abstract

A matrix method for calculating the effective refractive index of guided modes on multilayer dielectric waveguides is developed and employed to calculate the effective electro-optic coefficient of such waveguide structures when one of the media composing them is electro-optic. In properly specified three-layer waveguides, enhancement of the effective electro-optic coefficient above the bulk value by as much as a factor equal to the square of the highest refractive index in the structure is possible. The maximum modulation enhancement for the three-layer guide is attainable with loosely, as well as with tightly, confined waveguide modes.

© 1976 Optical Society of America

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  1. P. K. Tien, Appl. Opt. 10, 2395 (1971).
  2. W. K. Burns and J. Warner, J. Opt. Soc. Am. 64, 441 (1974).
  3. R. Ulrich and R. J. Martin, Appl. Opt. 10, 2077 (1971).
  4. R. Shubert and J. H. Harris, J. Opt. Soc. Am. 61, 154 (1971).
  5. J. F. Lotspeich, J. Opt. Soc. Am. 65, 797 (1975).
  6. O. S. Heavens, Optical Properties of Thin Films (Dover, New York, 1965), pp. 69ff.
  7. S. Fukunushi, N. Uchida, S. Miyazawa, and J. Noda, Appl. Phys. Lett. 24, 424 (1974).
  8. W. G. Oldham and A. Bahraman, IEEE J. Quant. Electron. QE-3, 278 (1967).
  9. P. K. Tien, R. Ulrich, and R. J. Martin, Appl. Phys. Lett. 14, 291 (1969).
  10. J. E. Midwinter, IEEE J. Quant. Electron. QE-8, 583 (1970).
  11. N. Nakamura and A. Yariv, Opt. Commun. 11, 18 (1974).

Bahraman, A.

W. G. Oldham and A. Bahraman, IEEE J. Quant. Electron. QE-3, 278 (1967).

Burns, W. K.

W. K. Burns and J. Warner, J. Opt. Soc. Am. 64, 441 (1974).

Fukunushi, S.

S. Fukunushi, N. Uchida, S. Miyazawa, and J. Noda, Appl. Phys. Lett. 24, 424 (1974).

Harris, J. H.

R. Shubert and J. H. Harris, J. Opt. Soc. Am. 61, 154 (1971).

Heavens, O. S.

O. S. Heavens, Optical Properties of Thin Films (Dover, New York, 1965), pp. 69ff.

Lotspeich, J. F.

J. F. Lotspeich, J. Opt. Soc. Am. 65, 797 (1975).

Martin, R. J.

R. Ulrich and R. J. Martin, Appl. Opt. 10, 2077 (1971).

P. K. Tien, R. Ulrich, and R. J. Martin, Appl. Phys. Lett. 14, 291 (1969).

Midwinter, J. E.

J. E. Midwinter, IEEE J. Quant. Electron. QE-8, 583 (1970).

Miyazawa, S.

S. Fukunushi, N. Uchida, S. Miyazawa, and J. Noda, Appl. Phys. Lett. 24, 424 (1974).

Nakamura, N.

N. Nakamura and A. Yariv, Opt. Commun. 11, 18 (1974).

Noda, J.

S. Fukunushi, N. Uchida, S. Miyazawa, and J. Noda, Appl. Phys. Lett. 24, 424 (1974).

Oldham, W. G.

W. G. Oldham and A. Bahraman, IEEE J. Quant. Electron. QE-3, 278 (1967).

Shubert, R.

R. Shubert and J. H. Harris, J. Opt. Soc. Am. 61, 154 (1971).

Tien, P. K.

P. K. Tien, Appl. Opt. 10, 2395 (1971).

P. K. Tien, R. Ulrich, and R. J. Martin, Appl. Phys. Lett. 14, 291 (1969).

Uchida, N.

S. Fukunushi, N. Uchida, S. Miyazawa, and J. Noda, Appl. Phys. Lett. 24, 424 (1974).

Ulrich, R.

R. Ulrich and R. J. Martin, Appl. Opt. 10, 2077 (1971).

P. K. Tien, R. Ulrich, and R. J. Martin, Appl. Phys. Lett. 14, 291 (1969).

Warner, J.

W. K. Burns and J. Warner, J. Opt. Soc. Am. 64, 441 (1974).

Yariv, A.

N. Nakamura and A. Yariv, Opt. Commun. 11, 18 (1974).

Other

P. K. Tien, Appl. Opt. 10, 2395 (1971).

W. K. Burns and J. Warner, J. Opt. Soc. Am. 64, 441 (1974).

R. Ulrich and R. J. Martin, Appl. Opt. 10, 2077 (1971).

R. Shubert and J. H. Harris, J. Opt. Soc. Am. 61, 154 (1971).

J. F. Lotspeich, J. Opt. Soc. Am. 65, 797 (1975).

O. S. Heavens, Optical Properties of Thin Films (Dover, New York, 1965), pp. 69ff.

S. Fukunushi, N. Uchida, S. Miyazawa, and J. Noda, Appl. Phys. Lett. 24, 424 (1974).

W. G. Oldham and A. Bahraman, IEEE J. Quant. Electron. QE-3, 278 (1967).

P. K. Tien, R. Ulrich, and R. J. Martin, Appl. Phys. Lett. 14, 291 (1969).

J. E. Midwinter, IEEE J. Quant. Electron. QE-8, 583 (1970).

N. Nakamura and A. Yariv, Opt. Commun. 11, 18 (1974).

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