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  1. (a)For references published in the journals in recent years, see for example: W. R. Klein, B. D. Cook, W. G. Mayer, Acoustica 15, No. 2, 67 (1965).(b)M. G. Cohen, E. I. Gordon, Bell System Tech. J. 44, 693 (1965).(c)H. V. Hance, J. K. Parks, J. Acoust. Soc. Amer. 38, 14 (1965).(d)C. F. Quate, C. D. W. Wilkinson, D. K. Winslow, Proc. IEEE 53, 1604 (1965).(e)E. I. Gordon, Proc. IEEE 54, 1391 (1966).(f)A. Korpel, R. Adler, P. Desmares, W. Watson, Proc. IEEE 54, 1429 (1966).(g)R. W. Dixon, IEEE J. Quant. Electron. QE-3, 85 (1967).(h)W. T. Maloney, H. R. Carleton, IEEE Trans. Sonics Ultrasonics SU-14, 135 (1967).(i)M. B. Schulz, M. G. Holland, L. Davis, Appl. Phys. Lett. 11, 237 (1967).(j)J. H. Collins, E. G. H. Lean, H. J. Shaw, Appl. Phys. Lett. 11, 240 (1967).
    [CrossRef]
  2. A. J. DeMaria, R. Gagosz, G. Bernard, J. Appl. Phys. 34, 453 (1963).
    [CrossRef]
  3. (a)L. E. Hargrove, R. L. Fork, M. A. Pollock, Appl. Phys. Lett. 5, 4 (1964).(b)M. DiDomenico, J. E. Geusic, H. M. Marcos, R. G. Smith, Appl. Phys. Lett. 8, 180 (1966).
    [CrossRef]
  4. C. S. Tsai, B. A. Auld, Proc. IEEE 54, 1217 (1966).
    [CrossRef]
  5. A calculation based on a simplified model and some experimental results can be found in C. S. Tsai, “Frequency conversion and amplification using Doppler-Shift methods in solids,” Ph.D. Thesis, M. L. Report 1395, Stanford University, Dec.1965.
  6. R. B. Lindsay, Mechanical Radiation (McGraw-Hill Book Company, New York, 1960).
  7. J. C. Slater, Microwave Electronics (D. Van Nostrand, New York, 1950).
  8. We shall employ the technique as is used in the Fabry-Perot laser cavity, Q = ωL/αec), where αe: power loss per pass, c:velocity of light, ω:resonant frequency, L:separation between the end mirrors. In our case αe consists of the medium loss α and the loss due to transmission at both end faces: we have exp-2αR1R2=exp-2αe∴αe=α+ln{1/[(R1R2)12]}.
  9. D. A. Pinnow, R. W. Dixon, Appl. Phys. Lett. 13, 156 (1968).
    [CrossRef]
  10. D. A. Pinnow, L. G. Van Uitert, A. W. Warner, W. A. Bonne, Appl. Phys. Lett. 15, 83 (1969).
    [CrossRef]
  11. G. A. Coquin, J. P. Griffin, L. K. Anderson, IEEE Trans. sonics SU-17, 34 (1970).
    [CrossRef]
  12. R. T. Denton, T. S. Kinsel, Proc. IEEE 56, 140 (1968); T. S. Kinsel, R. T. Denton, Proc. IEEE 56, 146 (1968).
    [CrossRef]

1970

G. A. Coquin, J. P. Griffin, L. K. Anderson, IEEE Trans. sonics SU-17, 34 (1970).
[CrossRef]

1969

D. A. Pinnow, L. G. Van Uitert, A. W. Warner, W. A. Bonne, Appl. Phys. Lett. 15, 83 (1969).
[CrossRef]

1968

D. A. Pinnow, R. W. Dixon, Appl. Phys. Lett. 13, 156 (1968).
[CrossRef]

R. T. Denton, T. S. Kinsel, Proc. IEEE 56, 140 (1968); T. S. Kinsel, R. T. Denton, Proc. IEEE 56, 146 (1968).
[CrossRef]

1966

C. S. Tsai, B. A. Auld, Proc. IEEE 54, 1217 (1966).
[CrossRef]

1965

(a)For references published in the journals in recent years, see for example: W. R. Klein, B. D. Cook, W. G. Mayer, Acoustica 15, No. 2, 67 (1965).(b)M. G. Cohen, E. I. Gordon, Bell System Tech. J. 44, 693 (1965).(c)H. V. Hance, J. K. Parks, J. Acoust. Soc. Amer. 38, 14 (1965).(d)C. F. Quate, C. D. W. Wilkinson, D. K. Winslow, Proc. IEEE 53, 1604 (1965).(e)E. I. Gordon, Proc. IEEE 54, 1391 (1966).(f)A. Korpel, R. Adler, P. Desmares, W. Watson, Proc. IEEE 54, 1429 (1966).(g)R. W. Dixon, IEEE J. Quant. Electron. QE-3, 85 (1967).(h)W. T. Maloney, H. R. Carleton, IEEE Trans. Sonics Ultrasonics SU-14, 135 (1967).(i)M. B. Schulz, M. G. Holland, L. Davis, Appl. Phys. Lett. 11, 237 (1967).(j)J. H. Collins, E. G. H. Lean, H. J. Shaw, Appl. Phys. Lett. 11, 240 (1967).
[CrossRef]

1964

(a)L. E. Hargrove, R. L. Fork, M. A. Pollock, Appl. Phys. Lett. 5, 4 (1964).(b)M. DiDomenico, J. E. Geusic, H. M. Marcos, R. G. Smith, Appl. Phys. Lett. 8, 180 (1966).
[CrossRef]

1963

A. J. DeMaria, R. Gagosz, G. Bernard, J. Appl. Phys. 34, 453 (1963).
[CrossRef]

Anderson, L. K.

G. A. Coquin, J. P. Griffin, L. K. Anderson, IEEE Trans. sonics SU-17, 34 (1970).
[CrossRef]

Auld, B. A.

C. S. Tsai, B. A. Auld, Proc. IEEE 54, 1217 (1966).
[CrossRef]

Bernard, G.

A. J. DeMaria, R. Gagosz, G. Bernard, J. Appl. Phys. 34, 453 (1963).
[CrossRef]

Bonne, W. A.

D. A. Pinnow, L. G. Van Uitert, A. W. Warner, W. A. Bonne, Appl. Phys. Lett. 15, 83 (1969).
[CrossRef]

Cook, B. D.

(a)For references published in the journals in recent years, see for example: W. R. Klein, B. D. Cook, W. G. Mayer, Acoustica 15, No. 2, 67 (1965).(b)M. G. Cohen, E. I. Gordon, Bell System Tech. J. 44, 693 (1965).(c)H. V. Hance, J. K. Parks, J. Acoust. Soc. Amer. 38, 14 (1965).(d)C. F. Quate, C. D. W. Wilkinson, D. K. Winslow, Proc. IEEE 53, 1604 (1965).(e)E. I. Gordon, Proc. IEEE 54, 1391 (1966).(f)A. Korpel, R. Adler, P. Desmares, W. Watson, Proc. IEEE 54, 1429 (1966).(g)R. W. Dixon, IEEE J. Quant. Electron. QE-3, 85 (1967).(h)W. T. Maloney, H. R. Carleton, IEEE Trans. Sonics Ultrasonics SU-14, 135 (1967).(i)M. B. Schulz, M. G. Holland, L. Davis, Appl. Phys. Lett. 11, 237 (1967).(j)J. H. Collins, E. G. H. Lean, H. J. Shaw, Appl. Phys. Lett. 11, 240 (1967).
[CrossRef]

Coquin, G. A.

G. A. Coquin, J. P. Griffin, L. K. Anderson, IEEE Trans. sonics SU-17, 34 (1970).
[CrossRef]

DeMaria, A. J.

A. J. DeMaria, R. Gagosz, G. Bernard, J. Appl. Phys. 34, 453 (1963).
[CrossRef]

Denton, R. T.

R. T. Denton, T. S. Kinsel, Proc. IEEE 56, 140 (1968); T. S. Kinsel, R. T. Denton, Proc. IEEE 56, 146 (1968).
[CrossRef]

Dixon, R. W.

D. A. Pinnow, R. W. Dixon, Appl. Phys. Lett. 13, 156 (1968).
[CrossRef]

Fork, R. L.

(a)L. E. Hargrove, R. L. Fork, M. A. Pollock, Appl. Phys. Lett. 5, 4 (1964).(b)M. DiDomenico, J. E. Geusic, H. M. Marcos, R. G. Smith, Appl. Phys. Lett. 8, 180 (1966).
[CrossRef]

Gagosz, R.

A. J. DeMaria, R. Gagosz, G. Bernard, J. Appl. Phys. 34, 453 (1963).
[CrossRef]

Griffin, J. P.

G. A. Coquin, J. P. Griffin, L. K. Anderson, IEEE Trans. sonics SU-17, 34 (1970).
[CrossRef]

Hargrove, L. E.

(a)L. E. Hargrove, R. L. Fork, M. A. Pollock, Appl. Phys. Lett. 5, 4 (1964).(b)M. DiDomenico, J. E. Geusic, H. M. Marcos, R. G. Smith, Appl. Phys. Lett. 8, 180 (1966).
[CrossRef]

Kinsel, T. S.

R. T. Denton, T. S. Kinsel, Proc. IEEE 56, 140 (1968); T. S. Kinsel, R. T. Denton, Proc. IEEE 56, 146 (1968).
[CrossRef]

Klein, W. R.

(a)For references published in the journals in recent years, see for example: W. R. Klein, B. D. Cook, W. G. Mayer, Acoustica 15, No. 2, 67 (1965).(b)M. G. Cohen, E. I. Gordon, Bell System Tech. J. 44, 693 (1965).(c)H. V. Hance, J. K. Parks, J. Acoust. Soc. Amer. 38, 14 (1965).(d)C. F. Quate, C. D. W. Wilkinson, D. K. Winslow, Proc. IEEE 53, 1604 (1965).(e)E. I. Gordon, Proc. IEEE 54, 1391 (1966).(f)A. Korpel, R. Adler, P. Desmares, W. Watson, Proc. IEEE 54, 1429 (1966).(g)R. W. Dixon, IEEE J. Quant. Electron. QE-3, 85 (1967).(h)W. T. Maloney, H. R. Carleton, IEEE Trans. Sonics Ultrasonics SU-14, 135 (1967).(i)M. B. Schulz, M. G. Holland, L. Davis, Appl. Phys. Lett. 11, 237 (1967).(j)J. H. Collins, E. G. H. Lean, H. J. Shaw, Appl. Phys. Lett. 11, 240 (1967).
[CrossRef]

Lindsay, R. B.

R. B. Lindsay, Mechanical Radiation (McGraw-Hill Book Company, New York, 1960).

Mayer, W. G.

(a)For references published in the journals in recent years, see for example: W. R. Klein, B. D. Cook, W. G. Mayer, Acoustica 15, No. 2, 67 (1965).(b)M. G. Cohen, E. I. Gordon, Bell System Tech. J. 44, 693 (1965).(c)H. V. Hance, J. K. Parks, J. Acoust. Soc. Amer. 38, 14 (1965).(d)C. F. Quate, C. D. W. Wilkinson, D. K. Winslow, Proc. IEEE 53, 1604 (1965).(e)E. I. Gordon, Proc. IEEE 54, 1391 (1966).(f)A. Korpel, R. Adler, P. Desmares, W. Watson, Proc. IEEE 54, 1429 (1966).(g)R. W. Dixon, IEEE J. Quant. Electron. QE-3, 85 (1967).(h)W. T. Maloney, H. R. Carleton, IEEE Trans. Sonics Ultrasonics SU-14, 135 (1967).(i)M. B. Schulz, M. G. Holland, L. Davis, Appl. Phys. Lett. 11, 237 (1967).(j)J. H. Collins, E. G. H. Lean, H. J. Shaw, Appl. Phys. Lett. 11, 240 (1967).
[CrossRef]

Pinnow, D. A.

D. A. Pinnow, L. G. Van Uitert, A. W. Warner, W. A. Bonne, Appl. Phys. Lett. 15, 83 (1969).
[CrossRef]

D. A. Pinnow, R. W. Dixon, Appl. Phys. Lett. 13, 156 (1968).
[CrossRef]

Pollock, M. A.

(a)L. E. Hargrove, R. L. Fork, M. A. Pollock, Appl. Phys. Lett. 5, 4 (1964).(b)M. DiDomenico, J. E. Geusic, H. M. Marcos, R. G. Smith, Appl. Phys. Lett. 8, 180 (1966).
[CrossRef]

Slater, J. C.

J. C. Slater, Microwave Electronics (D. Van Nostrand, New York, 1950).

Tsai, C. S.

C. S. Tsai, B. A. Auld, Proc. IEEE 54, 1217 (1966).
[CrossRef]

A calculation based on a simplified model and some experimental results can be found in C. S. Tsai, “Frequency conversion and amplification using Doppler-Shift methods in solids,” Ph.D. Thesis, M. L. Report 1395, Stanford University, Dec.1965.

Van Uitert, L. G.

D. A. Pinnow, L. G. Van Uitert, A. W. Warner, W. A. Bonne, Appl. Phys. Lett. 15, 83 (1969).
[CrossRef]

Warner, A. W.

D. A. Pinnow, L. G. Van Uitert, A. W. Warner, W. A. Bonne, Appl. Phys. Lett. 15, 83 (1969).
[CrossRef]

Acoustica

(a)For references published in the journals in recent years, see for example: W. R. Klein, B. D. Cook, W. G. Mayer, Acoustica 15, No. 2, 67 (1965).(b)M. G. Cohen, E. I. Gordon, Bell System Tech. J. 44, 693 (1965).(c)H. V. Hance, J. K. Parks, J. Acoust. Soc. Amer. 38, 14 (1965).(d)C. F. Quate, C. D. W. Wilkinson, D. K. Winslow, Proc. IEEE 53, 1604 (1965).(e)E. I. Gordon, Proc. IEEE 54, 1391 (1966).(f)A. Korpel, R. Adler, P. Desmares, W. Watson, Proc. IEEE 54, 1429 (1966).(g)R. W. Dixon, IEEE J. Quant. Electron. QE-3, 85 (1967).(h)W. T. Maloney, H. R. Carleton, IEEE Trans. Sonics Ultrasonics SU-14, 135 (1967).(i)M. B. Schulz, M. G. Holland, L. Davis, Appl. Phys. Lett. 11, 237 (1967).(j)J. H. Collins, E. G. H. Lean, H. J. Shaw, Appl. Phys. Lett. 11, 240 (1967).
[CrossRef]

Appl. Phys. Lett.

(a)L. E. Hargrove, R. L. Fork, M. A. Pollock, Appl. Phys. Lett. 5, 4 (1964).(b)M. DiDomenico, J. E. Geusic, H. M. Marcos, R. G. Smith, Appl. Phys. Lett. 8, 180 (1966).
[CrossRef]

D. A. Pinnow, R. W. Dixon, Appl. Phys. Lett. 13, 156 (1968).
[CrossRef]

D. A. Pinnow, L. G. Van Uitert, A. W. Warner, W. A. Bonne, Appl. Phys. Lett. 15, 83 (1969).
[CrossRef]

IEEE Trans. sonics

G. A. Coquin, J. P. Griffin, L. K. Anderson, IEEE Trans. sonics SU-17, 34 (1970).
[CrossRef]

J. Appl. Phys.

A. J. DeMaria, R. Gagosz, G. Bernard, J. Appl. Phys. 34, 453 (1963).
[CrossRef]

Proc. IEEE

R. T. Denton, T. S. Kinsel, Proc. IEEE 56, 140 (1968); T. S. Kinsel, R. T. Denton, Proc. IEEE 56, 146 (1968).
[CrossRef]

C. S. Tsai, B. A. Auld, Proc. IEEE 54, 1217 (1966).
[CrossRef]

Other

A calculation based on a simplified model and some experimental results can be found in C. S. Tsai, “Frequency conversion and amplification using Doppler-Shift methods in solids,” Ph.D. Thesis, M. L. Report 1395, Stanford University, Dec.1965.

R. B. Lindsay, Mechanical Radiation (McGraw-Hill Book Company, New York, 1960).

J. C. Slater, Microwave Electronics (D. Van Nostrand, New York, 1950).

We shall employ the technique as is used in the Fabry-Perot laser cavity, Q = ωL/αec), where αe: power loss per pass, c:velocity of light, ω:resonant frequency, L:separation between the end mirrors. In our case αe consists of the medium loss α and the loss due to transmission at both end faces: we have exp-2αR1R2=exp-2αe∴αe=α+ln{1/[(R1R2)12]}.

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Figures (3)

Fig. 1
Fig. 1

Geometry of a resonating acoustic beam.

Fig. 2
Fig. 2

The enhancement for the Bragg diffracted light intensity due to acoustic resonance.

Fig. 3
Fig. 3

A tree of acousto-optic gates for demultiplexing and multiplexing.

Equations (2)

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( S r S 0 ) 2 = 2 exp α L 2 α L + ln [ 1 ( R 1 R 2 ) 1 / 2 ] .
we have exp - 2 α R 1 R 2 = exp - 2 α e α e = α + ln { 1 / [ ( R 1 R 2 ) 1 2 ] } .

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