Abstract

A reverse process of acoustooptic diffraction in thin films is studied. The high optical field concentration in thin films is utilized by mixing two optical guided modes electrostrictively to generate an acoustic surface wave. A theoretical analysis analogous to acoustooptic diffraction is presented by taking the power balance approach. The nonuniform electric and acoustic field distributions are fully taken into account. A relation between electrostriction and diffraction is established, and the published results on Bragg diffraction are applied directly to Bragg electrostriction. Bragg electrostriction is film thickness dependent, and cw operation of acoustic wave generation is possible.

© 1977 Optical Society of America

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    [CrossRef]
  2. E. G. H. Lean, J. M. White, C. D. W. Wilkinson, Proc. IEEE 64, 779 (1976).
    [CrossRef]
  3. R. V. Schmidt, IEEE Trans. Sonics Ultrason. SU-23, 22 (1976).
    [CrossRef]
  4. L. Kuhn, P. F. Heidrich, E. G. Lean, Appl. Phys. Lett. 19, 428 (1971).
    [CrossRef]
  5. M. S. Chang, Appl. Opt. 13, 1867 (1974).
    [CrossRef] [PubMed]
  6. W. S. C. Chang, IEEE J. Quantum Electron. QE-7, 167 (1971).
    [CrossRef]
  7. F. R. Gfeller, C. W. Pitt, Electron. Lett. 8, 549 (1972).
    [CrossRef]
  8. N. Chubachi, J. Kushibiki, Y. Kikuchi, Electron. Lett. 9, 193 (1973).
    [CrossRef]
  9. T.G. Giallorenzi, J. Appl. Phys. 44, 242 (1973).
    [CrossRef]
  10. Y. Ohmachi, Electron Lett. 9, 539 (1973).
    [CrossRef]
  11. R. V. Schmidt, I. P. Kaminow, J. R. Carruthers, Appl. Phys. Lett. 23, 417 (1973).
    [CrossRef]
  12. Y. Ohmachi, J. Appl. Phys. 44, 3928 (1973).
    [CrossRef]
  13. D. A. Wille, M. C. Hamilton, Appl. Phys. Lett. 24, 159 (1974).
    [CrossRef]
  14. T. G. Giallorenzi, A. F. Milton, J. Appl. Phys. 45, 1762 (1974).
    [CrossRef]
  15. J. M. White, P. F. Heidrich, E. G. Lean, Electron Lett. 10, 510 (1974).
    [CrossRef]
  16. M. Kondo, Y. Ohta, F. Sato, H. Sasaki, N. Chubachi, K. Koizumi, Electron. Lett. 10, 518 (1974).
    [CrossRef]
  17. R. V. Schmidt, I. P. Kaminow, IEEE J. Quantum Electron. QE-11, 57 (1975).
    [CrossRef]
  18. C. S. Tsai, Le T. Nguyen, S. K. Yao, M. A. Alhaider, Appl. Phys. Lett. 26, 140 (1975).
    [CrossRef]
  19. J. F. Weller, A. F. Milton, T. G. Giallorentzi, J. Appl. Phys. 46, 974 (1975).
    [CrossRef]
  20. H. Sasaki, J. Kushibiki, N. Chubachi, Y. Kikuchi, Electron Commun. Jpn. 57-C, 108 (1974).
  21. H. Sasaki, J. Kushibiki, N. Chubachi, Appl. Phys. Lett. 25, 476 (1974).
    [CrossRef]
  22. J. Kushibiki, H. Sasaki, N. Chubachi, N. Mikoshiba, K. Shibayama, Appl. Phys. Lett. 26, 262 (1975). See also Proceedings 1974 Ultrasonics Symposium, 11–14 November 1974, pp. 85–89.
    [CrossRef]
  23. J. Kushibiki, N. Chubachi, K. Shibayama, Appl. Phys. Lett. 29, 333 (1976).
    [CrossRef]
  24. K. W. Loh, W. S. C. Chang, W. R. Smith, T. Grudkowski, Appl. Opt. 15, 156 (1976).
    [CrossRef] [PubMed]
  25. K. Yamanouchi, K. Higuchi, K. Shibayama, Appl. Phys. Lett. 28, 75 (1976).
    [CrossRef]
  26. K. W. Loh, W. S. C. Chang, R. A. Becker, Appl. Phys. Lett. 28, 109 (1976).
    [CrossRef]
  27. C. S. Tsai, M. A. Alhaider, L. T. Nguyen, B. Kim, Proc. IEEE 64, 318 (1976).
    [CrossRef]
  28. N. Chubachi, Proc. IEEE 64, 772 (1976).
    [CrossRef]
  29. B. Kim, C. S. Tsai, Proc. IEEE 64, 788 (1976).
    [CrossRef]
  30. E. G. Lean, “Interaction of Light and Acoustic Surface Waves,” in Progress in Optics, E. Wolf, Ed. (North-Holland, Amsterdam, 1973), Vol. 11, pp. 123–166.
    [CrossRef]
  31. E. G. Lean, “Acousto-optical Interaction in Guided Wave Structures,” in Introduction to Integrated Optics, M. K. Barnoski, Ed. (Plenum, New York, 1974), pp. 441–470.
  32. A. Korpel, R. Adler, B. Alpine, Appl. Phys. Lett. 5, 86 (1964).
    [CrossRef]
  33. D. E. Caddes, C. F. Quate, C. D. W. Wilkinson, Appl. Phys. Lett. 8, 309 (1966).
    [CrossRef]
  34. G. Cachier, J. Acoust. Soc. Am. 49, 974 (1971).
    [CrossRef]
  35. M. S. Chang, H. H. Verheggen, T. W. Hou, “Electrostrictive Mixing in Optical Waveguides,” in 1976 Ultrasonics Symposium Proceedings, IEEE Cat. 76 CH1120-5SU. pp. 223–226.
  36. W. S. C. Chang, M. W. Muller, F. J. Rosenbaum, “Integrated Optics,” in Laser Applications, M. Ross, Ed. (Academic, New York, 1974), Vol. 2, pp. 227–344.
  37. P. K. Tien, R. Ulrich, J. Opt. Soc. Am. 60, 1325 (1970).
    [CrossRef]
  38. G. W. Farnell, “Properties of Elastic Surface Waves,” in Physical Acoustics, W. P. Mason, R. N. Thurston, Eds. (Academic, New York, 1970), Vol. 6, pp. 109–166.
  39. B. A. Auld, Acoustic Fields and Waves in Solids (Wiley, New York, 1973), Vol. 2, Appendix 4.
  40. B. A. Auld, Ref. 39, Vol. 1.
  41. C. F. Quate, C. D. W. Wilkinson, D. K. Winslow, Proc. IEEE 53, 1604 (1965).
    [CrossRef]
  42. J. F. Nye, Physical Properties of Crystals (Clarendon, Oxford, 1957), p. 249.
  43. D. A. Pinnow, “Elastooptic Materials,” in CRC Handbook of Lasers, R. J. Pressley, Ed. (Chemical Rubber Co., Cleveland, 1971), p. 478.
  44. M. Uchida, N. Niizeki, Proc. IEEE 61, 1073 (1973).
    [CrossRef]
  45. T. Yano, A. Fukumoto, A. Watanabe, J. Appl. Phys. 42, 3674 (1971).
    [CrossRef]
  46. R. E. Lee, D. W. Jackson, “An Optical Detector Based on Surface-Acoustic-Wave Generation,” in 1975 Ultrasonics Symposium Proceedings, IEEE Cat. 75 CHO-994-4SU.
  47. K. Aiki, M. Nakamura, J. Umeda, Appl. Phys. Lett. 29, 506 (1976).
    [CrossRef]

1976

E. G. H. Lean, J. M. White, C. D. W. Wilkinson, Proc. IEEE 64, 779 (1976).
[CrossRef]

R. V. Schmidt, IEEE Trans. Sonics Ultrason. SU-23, 22 (1976).
[CrossRef]

J. Kushibiki, N. Chubachi, K. Shibayama, Appl. Phys. Lett. 29, 333 (1976).
[CrossRef]

K. W. Loh, W. S. C. Chang, W. R. Smith, T. Grudkowski, Appl. Opt. 15, 156 (1976).
[CrossRef] [PubMed]

K. Yamanouchi, K. Higuchi, K. Shibayama, Appl. Phys. Lett. 28, 75 (1976).
[CrossRef]

K. W. Loh, W. S. C. Chang, R. A. Becker, Appl. Phys. Lett. 28, 109 (1976).
[CrossRef]

C. S. Tsai, M. A. Alhaider, L. T. Nguyen, B. Kim, Proc. IEEE 64, 318 (1976).
[CrossRef]

N. Chubachi, Proc. IEEE 64, 772 (1976).
[CrossRef]

B. Kim, C. S. Tsai, Proc. IEEE 64, 788 (1976).
[CrossRef]

K. Aiki, M. Nakamura, J. Umeda, Appl. Phys. Lett. 29, 506 (1976).
[CrossRef]

1975

J. Kushibiki, H. Sasaki, N. Chubachi, N. Mikoshiba, K. Shibayama, Appl. Phys. Lett. 26, 262 (1975). See also Proceedings 1974 Ultrasonics Symposium, 11–14 November 1974, pp. 85–89.
[CrossRef]

R. V. Schmidt, I. P. Kaminow, IEEE J. Quantum Electron. QE-11, 57 (1975).
[CrossRef]

C. S. Tsai, Le T. Nguyen, S. K. Yao, M. A. Alhaider, Appl. Phys. Lett. 26, 140 (1975).
[CrossRef]

J. F. Weller, A. F. Milton, T. G. Giallorentzi, J. Appl. Phys. 46, 974 (1975).
[CrossRef]

1974

H. Sasaki, J. Kushibiki, N. Chubachi, Y. Kikuchi, Electron Commun. Jpn. 57-C, 108 (1974).

H. Sasaki, J. Kushibiki, N. Chubachi, Appl. Phys. Lett. 25, 476 (1974).
[CrossRef]

D. A. Wille, M. C. Hamilton, Appl. Phys. Lett. 24, 159 (1974).
[CrossRef]

T. G. Giallorenzi, A. F. Milton, J. Appl. Phys. 45, 1762 (1974).
[CrossRef]

J. M. White, P. F. Heidrich, E. G. Lean, Electron Lett. 10, 510 (1974).
[CrossRef]

M. Kondo, Y. Ohta, F. Sato, H. Sasaki, N. Chubachi, K. Koizumi, Electron. Lett. 10, 518 (1974).
[CrossRef]

M. S. Chang, Appl. Opt. 13, 1867 (1974).
[CrossRef] [PubMed]

1973

N. Chubachi, J. Kushibiki, Y. Kikuchi, Electron. Lett. 9, 193 (1973).
[CrossRef]

T.G. Giallorenzi, J. Appl. Phys. 44, 242 (1973).
[CrossRef]

Y. Ohmachi, Electron Lett. 9, 539 (1973).
[CrossRef]

R. V. Schmidt, I. P. Kaminow, J. R. Carruthers, Appl. Phys. Lett. 23, 417 (1973).
[CrossRef]

Y. Ohmachi, J. Appl. Phys. 44, 3928 (1973).
[CrossRef]

M. Uchida, N. Niizeki, Proc. IEEE 61, 1073 (1973).
[CrossRef]

1972

F. R. Gfeller, C. W. Pitt, Electron. Lett. 8, 549 (1972).
[CrossRef]

1971

T. Yano, A. Fukumoto, A. Watanabe, J. Appl. Phys. 42, 3674 (1971).
[CrossRef]

G. Cachier, J. Acoust. Soc. Am. 49, 974 (1971).
[CrossRef]

W. S. C. Chang, IEEE J. Quantum Electron. QE-7, 167 (1971).
[CrossRef]

L. Kuhn, P. F. Heidrich, E. G. Lean, Appl. Phys. Lett. 19, 428 (1971).
[CrossRef]

1970

P. K. Tien, R. Ulrich, J. Opt. Soc. Am. 60, 1325 (1970).
[CrossRef]

L. Kuhn, M. L. Dakss, P. F. Heidrich, B. A. Scott, Appl. Phys. Lett. 17, 265 (1970).
[CrossRef]

1966

D. E. Caddes, C. F. Quate, C. D. W. Wilkinson, Appl. Phys. Lett. 8, 309 (1966).
[CrossRef]

1965

C. F. Quate, C. D. W. Wilkinson, D. K. Winslow, Proc. IEEE 53, 1604 (1965).
[CrossRef]

1964

A. Korpel, R. Adler, B. Alpine, Appl. Phys. Lett. 5, 86 (1964).
[CrossRef]

Adler, R.

A. Korpel, R. Adler, B. Alpine, Appl. Phys. Lett. 5, 86 (1964).
[CrossRef]

Aiki, K.

K. Aiki, M. Nakamura, J. Umeda, Appl. Phys. Lett. 29, 506 (1976).
[CrossRef]

Alhaider, M. A.

C. S. Tsai, M. A. Alhaider, L. T. Nguyen, B. Kim, Proc. IEEE 64, 318 (1976).
[CrossRef]

C. S. Tsai, Le T. Nguyen, S. K. Yao, M. A. Alhaider, Appl. Phys. Lett. 26, 140 (1975).
[CrossRef]

Alpine, B.

A. Korpel, R. Adler, B. Alpine, Appl. Phys. Lett. 5, 86 (1964).
[CrossRef]

Auld, B. A.

B. A. Auld, Acoustic Fields and Waves in Solids (Wiley, New York, 1973), Vol. 2, Appendix 4.

B. A. Auld, Ref. 39, Vol. 1.

Becker, R. A.

K. W. Loh, W. S. C. Chang, R. A. Becker, Appl. Phys. Lett. 28, 109 (1976).
[CrossRef]

Cachier, G.

G. Cachier, J. Acoust. Soc. Am. 49, 974 (1971).
[CrossRef]

Caddes, D. E.

D. E. Caddes, C. F. Quate, C. D. W. Wilkinson, Appl. Phys. Lett. 8, 309 (1966).
[CrossRef]

Carruthers, J. R.

R. V. Schmidt, I. P. Kaminow, J. R. Carruthers, Appl. Phys. Lett. 23, 417 (1973).
[CrossRef]

Chang, M. S.

M. S. Chang, Appl. Opt. 13, 1867 (1974).
[CrossRef] [PubMed]

M. S. Chang, H. H. Verheggen, T. W. Hou, “Electrostrictive Mixing in Optical Waveguides,” in 1976 Ultrasonics Symposium Proceedings, IEEE Cat. 76 CH1120-5SU. pp. 223–226.

Chang, W. S. C.

K. W. Loh, W. S. C. Chang, R. A. Becker, Appl. Phys. Lett. 28, 109 (1976).
[CrossRef]

K. W. Loh, W. S. C. Chang, W. R. Smith, T. Grudkowski, Appl. Opt. 15, 156 (1976).
[CrossRef] [PubMed]

W. S. C. Chang, IEEE J. Quantum Electron. QE-7, 167 (1971).
[CrossRef]

W. S. C. Chang, M. W. Muller, F. J. Rosenbaum, “Integrated Optics,” in Laser Applications, M. Ross, Ed. (Academic, New York, 1974), Vol. 2, pp. 227–344.

Chubachi, N.

N. Chubachi, Proc. IEEE 64, 772 (1976).
[CrossRef]

J. Kushibiki, N. Chubachi, K. Shibayama, Appl. Phys. Lett. 29, 333 (1976).
[CrossRef]

J. Kushibiki, H. Sasaki, N. Chubachi, N. Mikoshiba, K. Shibayama, Appl. Phys. Lett. 26, 262 (1975). See also Proceedings 1974 Ultrasonics Symposium, 11–14 November 1974, pp. 85–89.
[CrossRef]

H. Sasaki, J. Kushibiki, N. Chubachi, Appl. Phys. Lett. 25, 476 (1974).
[CrossRef]

H. Sasaki, J. Kushibiki, N. Chubachi, Y. Kikuchi, Electron Commun. Jpn. 57-C, 108 (1974).

M. Kondo, Y. Ohta, F. Sato, H. Sasaki, N. Chubachi, K. Koizumi, Electron. Lett. 10, 518 (1974).
[CrossRef]

N. Chubachi, J. Kushibiki, Y. Kikuchi, Electron. Lett. 9, 193 (1973).
[CrossRef]

Dakss, M. L.

L. Kuhn, M. L. Dakss, P. F. Heidrich, B. A. Scott, Appl. Phys. Lett. 17, 265 (1970).
[CrossRef]

Farnell, G. W.

G. W. Farnell, “Properties of Elastic Surface Waves,” in Physical Acoustics, W. P. Mason, R. N. Thurston, Eds. (Academic, New York, 1970), Vol. 6, pp. 109–166.

Fukumoto, A.

T. Yano, A. Fukumoto, A. Watanabe, J. Appl. Phys. 42, 3674 (1971).
[CrossRef]

Gfeller, F. R.

F. R. Gfeller, C. W. Pitt, Electron. Lett. 8, 549 (1972).
[CrossRef]

Giallorentzi, T. G.

J. F. Weller, A. F. Milton, T. G. Giallorentzi, J. Appl. Phys. 46, 974 (1975).
[CrossRef]

Giallorenzi, T. G.

T. G. Giallorenzi, A. F. Milton, J. Appl. Phys. 45, 1762 (1974).
[CrossRef]

Giallorenzi, T.G.

T.G. Giallorenzi, J. Appl. Phys. 44, 242 (1973).
[CrossRef]

Grudkowski, T.

Hamilton, M. C.

D. A. Wille, M. C. Hamilton, Appl. Phys. Lett. 24, 159 (1974).
[CrossRef]

Heidrich, P. F.

J. M. White, P. F. Heidrich, E. G. Lean, Electron Lett. 10, 510 (1974).
[CrossRef]

L. Kuhn, P. F. Heidrich, E. G. Lean, Appl. Phys. Lett. 19, 428 (1971).
[CrossRef]

L. Kuhn, M. L. Dakss, P. F. Heidrich, B. A. Scott, Appl. Phys. Lett. 17, 265 (1970).
[CrossRef]

Higuchi, K.

K. Yamanouchi, K. Higuchi, K. Shibayama, Appl. Phys. Lett. 28, 75 (1976).
[CrossRef]

Hou, T. W.

M. S. Chang, H. H. Verheggen, T. W. Hou, “Electrostrictive Mixing in Optical Waveguides,” in 1976 Ultrasonics Symposium Proceedings, IEEE Cat. 76 CH1120-5SU. pp. 223–226.

Jackson, D. W.

R. E. Lee, D. W. Jackson, “An Optical Detector Based on Surface-Acoustic-Wave Generation,” in 1975 Ultrasonics Symposium Proceedings, IEEE Cat. 75 CHO-994-4SU.

Kaminow, I. P.

R. V. Schmidt, I. P. Kaminow, IEEE J. Quantum Electron. QE-11, 57 (1975).
[CrossRef]

R. V. Schmidt, I. P. Kaminow, J. R. Carruthers, Appl. Phys. Lett. 23, 417 (1973).
[CrossRef]

Kikuchi, Y.

H. Sasaki, J. Kushibiki, N. Chubachi, Y. Kikuchi, Electron Commun. Jpn. 57-C, 108 (1974).

N. Chubachi, J. Kushibiki, Y. Kikuchi, Electron. Lett. 9, 193 (1973).
[CrossRef]

Kim, B.

B. Kim, C. S. Tsai, Proc. IEEE 64, 788 (1976).
[CrossRef]

C. S. Tsai, M. A. Alhaider, L. T. Nguyen, B. Kim, Proc. IEEE 64, 318 (1976).
[CrossRef]

Koizumi, K.

M. Kondo, Y. Ohta, F. Sato, H. Sasaki, N. Chubachi, K. Koizumi, Electron. Lett. 10, 518 (1974).
[CrossRef]

Kondo, M.

M. Kondo, Y. Ohta, F. Sato, H. Sasaki, N. Chubachi, K. Koizumi, Electron. Lett. 10, 518 (1974).
[CrossRef]

Korpel, A.

A. Korpel, R. Adler, B. Alpine, Appl. Phys. Lett. 5, 86 (1964).
[CrossRef]

Kuhn, L.

L. Kuhn, P. F. Heidrich, E. G. Lean, Appl. Phys. Lett. 19, 428 (1971).
[CrossRef]

L. Kuhn, M. L. Dakss, P. F. Heidrich, B. A. Scott, Appl. Phys. Lett. 17, 265 (1970).
[CrossRef]

Kushibiki, J.

J. Kushibiki, N. Chubachi, K. Shibayama, Appl. Phys. Lett. 29, 333 (1976).
[CrossRef]

J. Kushibiki, H. Sasaki, N. Chubachi, N. Mikoshiba, K. Shibayama, Appl. Phys. Lett. 26, 262 (1975). See also Proceedings 1974 Ultrasonics Symposium, 11–14 November 1974, pp. 85–89.
[CrossRef]

H. Sasaki, J. Kushibiki, N. Chubachi, Y. Kikuchi, Electron Commun. Jpn. 57-C, 108 (1974).

H. Sasaki, J. Kushibiki, N. Chubachi, Appl. Phys. Lett. 25, 476 (1974).
[CrossRef]

N. Chubachi, J. Kushibiki, Y. Kikuchi, Electron. Lett. 9, 193 (1973).
[CrossRef]

Lean, E. G.

J. M. White, P. F. Heidrich, E. G. Lean, Electron Lett. 10, 510 (1974).
[CrossRef]

L. Kuhn, P. F. Heidrich, E. G. Lean, Appl. Phys. Lett. 19, 428 (1971).
[CrossRef]

E. G. Lean, “Interaction of Light and Acoustic Surface Waves,” in Progress in Optics, E. Wolf, Ed. (North-Holland, Amsterdam, 1973), Vol. 11, pp. 123–166.
[CrossRef]

E. G. Lean, “Acousto-optical Interaction in Guided Wave Structures,” in Introduction to Integrated Optics, M. K. Barnoski, Ed. (Plenum, New York, 1974), pp. 441–470.

Lean, E. G. H.

E. G. H. Lean, J. M. White, C. D. W. Wilkinson, Proc. IEEE 64, 779 (1976).
[CrossRef]

Lee, R. E.

R. E. Lee, D. W. Jackson, “An Optical Detector Based on Surface-Acoustic-Wave Generation,” in 1975 Ultrasonics Symposium Proceedings, IEEE Cat. 75 CHO-994-4SU.

Loh, K. W.

K. W. Loh, W. S. C. Chang, W. R. Smith, T. Grudkowski, Appl. Opt. 15, 156 (1976).
[CrossRef] [PubMed]

K. W. Loh, W. S. C. Chang, R. A. Becker, Appl. Phys. Lett. 28, 109 (1976).
[CrossRef]

Mikoshiba, N.

J. Kushibiki, H. Sasaki, N. Chubachi, N. Mikoshiba, K. Shibayama, Appl. Phys. Lett. 26, 262 (1975). See also Proceedings 1974 Ultrasonics Symposium, 11–14 November 1974, pp. 85–89.
[CrossRef]

Milton, A. F.

J. F. Weller, A. F. Milton, T. G. Giallorentzi, J. Appl. Phys. 46, 974 (1975).
[CrossRef]

T. G. Giallorenzi, A. F. Milton, J. Appl. Phys. 45, 1762 (1974).
[CrossRef]

Muller, M. W.

W. S. C. Chang, M. W. Muller, F. J. Rosenbaum, “Integrated Optics,” in Laser Applications, M. Ross, Ed. (Academic, New York, 1974), Vol. 2, pp. 227–344.

Nakamura, M.

K. Aiki, M. Nakamura, J. Umeda, Appl. Phys. Lett. 29, 506 (1976).
[CrossRef]

Nguyen, L. T.

C. S. Tsai, M. A. Alhaider, L. T. Nguyen, B. Kim, Proc. IEEE 64, 318 (1976).
[CrossRef]

Nguyen, Le T.

C. S. Tsai, Le T. Nguyen, S. K. Yao, M. A. Alhaider, Appl. Phys. Lett. 26, 140 (1975).
[CrossRef]

Niizeki, N.

M. Uchida, N. Niizeki, Proc. IEEE 61, 1073 (1973).
[CrossRef]

Nye, J. F.

J. F. Nye, Physical Properties of Crystals (Clarendon, Oxford, 1957), p. 249.

Ohmachi, Y.

Y. Ohmachi, Electron Lett. 9, 539 (1973).
[CrossRef]

Y. Ohmachi, J. Appl. Phys. 44, 3928 (1973).
[CrossRef]

Ohta, Y.

M. Kondo, Y. Ohta, F. Sato, H. Sasaki, N. Chubachi, K. Koizumi, Electron. Lett. 10, 518 (1974).
[CrossRef]

Pinnow, D. A.

D. A. Pinnow, “Elastooptic Materials,” in CRC Handbook of Lasers, R. J. Pressley, Ed. (Chemical Rubber Co., Cleveland, 1971), p. 478.

Pitt, C. W.

F. R. Gfeller, C. W. Pitt, Electron. Lett. 8, 549 (1972).
[CrossRef]

Quate, C. F.

D. E. Caddes, C. F. Quate, C. D. W. Wilkinson, Appl. Phys. Lett. 8, 309 (1966).
[CrossRef]

C. F. Quate, C. D. W. Wilkinson, D. K. Winslow, Proc. IEEE 53, 1604 (1965).
[CrossRef]

Rosenbaum, F. J.

W. S. C. Chang, M. W. Muller, F. J. Rosenbaum, “Integrated Optics,” in Laser Applications, M. Ross, Ed. (Academic, New York, 1974), Vol. 2, pp. 227–344.

Sasaki, H.

J. Kushibiki, H. Sasaki, N. Chubachi, N. Mikoshiba, K. Shibayama, Appl. Phys. Lett. 26, 262 (1975). See also Proceedings 1974 Ultrasonics Symposium, 11–14 November 1974, pp. 85–89.
[CrossRef]

H. Sasaki, J. Kushibiki, N. Chubachi, Appl. Phys. Lett. 25, 476 (1974).
[CrossRef]

M. Kondo, Y. Ohta, F. Sato, H. Sasaki, N. Chubachi, K. Koizumi, Electron. Lett. 10, 518 (1974).
[CrossRef]

H. Sasaki, J. Kushibiki, N. Chubachi, Y. Kikuchi, Electron Commun. Jpn. 57-C, 108 (1974).

Sato, F.

M. Kondo, Y. Ohta, F. Sato, H. Sasaki, N. Chubachi, K. Koizumi, Electron. Lett. 10, 518 (1974).
[CrossRef]

Schmidt, R. V.

R. V. Schmidt, IEEE Trans. Sonics Ultrason. SU-23, 22 (1976).
[CrossRef]

R. V. Schmidt, I. P. Kaminow, IEEE J. Quantum Electron. QE-11, 57 (1975).
[CrossRef]

R. V. Schmidt, I. P. Kaminow, J. R. Carruthers, Appl. Phys. Lett. 23, 417 (1973).
[CrossRef]

Scott, B. A.

L. Kuhn, M. L. Dakss, P. F. Heidrich, B. A. Scott, Appl. Phys. Lett. 17, 265 (1970).
[CrossRef]

Shibayama, K.

K. Yamanouchi, K. Higuchi, K. Shibayama, Appl. Phys. Lett. 28, 75 (1976).
[CrossRef]

J. Kushibiki, N. Chubachi, K. Shibayama, Appl. Phys. Lett. 29, 333 (1976).
[CrossRef]

J. Kushibiki, H. Sasaki, N. Chubachi, N. Mikoshiba, K. Shibayama, Appl. Phys. Lett. 26, 262 (1975). See also Proceedings 1974 Ultrasonics Symposium, 11–14 November 1974, pp. 85–89.
[CrossRef]

Smith, W. R.

Tien, P. K.

Tsai, C. S.

B. Kim, C. S. Tsai, Proc. IEEE 64, 788 (1976).
[CrossRef]

C. S. Tsai, M. A. Alhaider, L. T. Nguyen, B. Kim, Proc. IEEE 64, 318 (1976).
[CrossRef]

C. S. Tsai, Le T. Nguyen, S. K. Yao, M. A. Alhaider, Appl. Phys. Lett. 26, 140 (1975).
[CrossRef]

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Figures (6)

Fig. 1
Fig. 1

Schematic of interaction between optical guided waves and acoustic surface waves.

Fig. 2
Fig. 2

Bragg electrostriction by mixing TE0-TE0 and TM0-TM0 modes in ZnO film. The acoustic frequency is at 130 MHz.

Fig. 3
Fig. 3

Bragg electrostriction by mixing TE0-TM0 modes in ZnO film. The acoustic frequency is at 226 MHz.

Fig. 4
Fig. 4

Bragg electrostriction by mixing TE0-TE0 (solid lines) and TM0-TM0 (dashed lines) modes in tellurite glass film. The variable is the film thickness.

Fig. 5
Fig. 5

Bragg electrostriction by mixing TE0-TM0 modes in tellurite glass film. The variable is the film thickness.

Fig. 6
Fig. 6

Various Bragg electrostrictions by mixing TEn-TEn modes in a 1.0-μm thick tellurite glass film.

Equations (20)

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E ¯ 1 = ( cos θ 1 x ^ 1 + sin θ 1 x ^ 3 ) A 1 U 1 ( x 2 ) × exp [ j ( ω 1 t - cos θ 1 β 1 x 1 - sin θ 1 β 1 x 3 ) ] , E ¯ 2 = ( cos θ 2 x ^ 1 - sin θ 2 x ^ 3 ) A 2 U 2 ( x 2 ) × exp [ j ( ω 2 t - cos θ 2 β 2 x 1 + sin θ 2 β 1 x 3 ) ] ,
A i 2 = P i 2 ω i μ 0 W β i - U i 2 ( x 2 ) d x 2             i = 1 , 2 ,
S 1 = 0 , S 2 = A s s 2 ( x 2 ) exp [ j ( Ω s t - K s x 3 ) ] , S 3 = - A s s 3 ( x 2 ) exp [ j ( Ω s t - K s x 3 ) ] , S 4 = j A s ζ s 4 ( x 2 ) exp [ j ( Ω s t - K s x 3 ) ] , S 5 = 0 , S 6 = 0 ,
P a = a - V ¯ · T ¯ ¯ * · n ^ d a ,
s V ¯ = ( S ¯ ¯ ) / ( t ) ,
T ¯ ¯ = c ¯ ¯ : S ¯ ¯ ,
a E ¯ n × H ¯ n * · n ^ d a = - v E ¯ n · D ¯ d t d V ,
d A 2 d x 1 = - j k 4 n 3 A s A 1 × 0 U 1 ( x ) U 2 ( x 2 ) [ p 33 s 3 ( x 2 ) - p 32 s 2 ( x 2 ) ] d x 2 - U 2 2 ( x 2 ) d x 2 .
η = P 2 P 1 = π 2 2 λ 2 P a L 2 M eff ,
M eff = n 6 V R Γ ,
Γ = { 0 U 1 ( x 2 ) U 2 ( x 2 ) [ p 33 s 3 ( x 2 ) - p 23 s 2 ( x 2 ) ] d x 2 } 2 - U 1 2 ( x 2 ) d x 2 - U 2 2 ( x 2 ) d x 2 0 U s 2 ( x 2 ) d x 2 ,
U s 2 ( x 2 ) = c 13 s 3 2 ( x 2 ) - c 12 s 2 ( x 2 ) s 3 ( x 2 ) .
a - V ¯ · T ¯ ¯ * · n ^ d a = v - T ¯ ¯ * : S ¯ ¯ c t d v ,
S i j c = γ i j p q E p E q ,
γ i j = ( γ 11 γ 12 γ 12 0 0 0 γ 12 γ 11 γ 12 0 0 0 γ 12 γ 12 γ 11 0 0 0 0 0 0 γ 44 0 0 0 0 0 0 γ 44 0 0 0 0 0 0 γ 44 ) .
c k l p q γ i j p q = - p p q q 0 p k l i j ,
d A s d x 3 = - j Ω s 2 0 2 V R A 1 A 2 × 0 U 1 ( x 2 ) U 2 ( x 2 ) [ p 33 s 3 ( x 2 ) - p 23 s 2 ( x 2 ) ] d x 2 0 U s 2 ( x 2 ) d x 2
p a = 1 2 Ω s 2 C 0 2 M eff p 1 p 2 ( L W ) 2 ,
Δ K = sin θ 1 β 1 - sin θ 2 β 2 + K s .
P a P 1 P 2 = ( Ω s γ C 0 π ) 2 ( L W ) 2 η 0 ,

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