Abstract

We report measurements of the linear electro-optic coefficients of temperature- and/or static-electric-field-poled bulk fused silica. The values for r31 and r33 are 0.1 ± 0.03 and 0.3 ± 0.1 pm/V, respectively, in agreement with extrapolations from measured second-harmonic generation coefficients. Measurements were performed by use of a Mach–Zehnder interferometer with LiNbO3 as a reference material.

© 1994 Optical Society of America

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References

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  1. R. A. Myers, N. Mukherjee, S. R. J. Brueck, Opt. Lett. 16, 1732 (1991).
    [Crossref] [PubMed]
  2. A. Okada, K. Ishii, K. Mito, K. Sasaki, Phys. Lett. 60, 2853 (1992).
  3. P. G. Kazansky, A. Kamal, P. St. J. Russell, Opt. Lett. 18, 1141 (1993).
    [Crossref] [PubMed]
  4. R. A. Myers, N. Mukherjee, S. R. J. Brueck, J. Opt. Soc. Am. B 11, 665 (1994).
    [Crossref]
  5. H. Nasu, H. Okamoto, A. Mito, J. Matsuoka, K. Kamiya, Jpn. J. Appl. Phys. 32, 1406 (1993).
    [Crossref]
  6. R. Kashyap, G. J. Veldhuis, D. C. Rogers, P. F. Mckee, Appl. Phys. Lett. 64, 1332 (1994).
    [Crossref]
  7. A. C. Liu, M. J. F. Digonnet, G. S. Kono, Opt. Lett. 19, 466 (1994).
    [Crossref] [PubMed]
  8. W. R. Cook, H. Jaffe, in Electrooptic Coefficients, K.-H. Hellwege, ed., Vol. 11 of Landolt–Börnstein New Series (Springer-Verlag, Berlin, 1979), Chap. 5, p. 564.
  9. B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991), p. 746.
  10. D. E. Gray, AIP Handbook, 3rd ed. (McGraw-Hill, New York, 1972), Chap. 3, p. 104.
  11. P. G. Kazansky, A. Kamal, P. St. J. Russell, Opt. Lett. 18, 693 (1993).
    [Crossref] [PubMed]

1994 (3)

1993 (3)

1992 (1)

A. Okada, K. Ishii, K. Mito, K. Sasaki, Phys. Lett. 60, 2853 (1992).

1991 (1)

Brueck, S. R. J.

Cook, W. R.

W. R. Cook, H. Jaffe, in Electrooptic Coefficients, K.-H. Hellwege, ed., Vol. 11 of Landolt–Börnstein New Series (Springer-Verlag, Berlin, 1979), Chap. 5, p. 564.

Digonnet, M. J. F.

Ishii, K.

A. Okada, K. Ishii, K. Mito, K. Sasaki, Phys. Lett. 60, 2853 (1992).

Jaffe, H.

W. R. Cook, H. Jaffe, in Electrooptic Coefficients, K.-H. Hellwege, ed., Vol. 11 of Landolt–Börnstein New Series (Springer-Verlag, Berlin, 1979), Chap. 5, p. 564.

Kamal, A.

Kamiya, K.

H. Nasu, H. Okamoto, A. Mito, J. Matsuoka, K. Kamiya, Jpn. J. Appl. Phys. 32, 1406 (1993).
[Crossref]

Kashyap, R.

R. Kashyap, G. J. Veldhuis, D. C. Rogers, P. F. Mckee, Appl. Phys. Lett. 64, 1332 (1994).
[Crossref]

Kazansky, P. G.

Kono, G. S.

Liu, A. C.

Matsuoka, J.

H. Nasu, H. Okamoto, A. Mito, J. Matsuoka, K. Kamiya, Jpn. J. Appl. Phys. 32, 1406 (1993).
[Crossref]

Mckee, P. F.

R. Kashyap, G. J. Veldhuis, D. C. Rogers, P. F. Mckee, Appl. Phys. Lett. 64, 1332 (1994).
[Crossref]

Mito, A.

H. Nasu, H. Okamoto, A. Mito, J. Matsuoka, K. Kamiya, Jpn. J. Appl. Phys. 32, 1406 (1993).
[Crossref]

Mito, K.

A. Okada, K. Ishii, K. Mito, K. Sasaki, Phys. Lett. 60, 2853 (1992).

Mukherjee, N.

Myers, R. A.

Nasu, H.

H. Nasu, H. Okamoto, A. Mito, J. Matsuoka, K. Kamiya, Jpn. J. Appl. Phys. 32, 1406 (1993).
[Crossref]

Okada, A.

A. Okada, K. Ishii, K. Mito, K. Sasaki, Phys. Lett. 60, 2853 (1992).

Okamoto, H.

H. Nasu, H. Okamoto, A. Mito, J. Matsuoka, K. Kamiya, Jpn. J. Appl. Phys. 32, 1406 (1993).
[Crossref]

Rogers, D. C.

R. Kashyap, G. J. Veldhuis, D. C. Rogers, P. F. Mckee, Appl. Phys. Lett. 64, 1332 (1994).
[Crossref]

Russell, P. St. J.

Saleh, B. E. A.

B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991), p. 746.

Sasaki, K.

A. Okada, K. Ishii, K. Mito, K. Sasaki, Phys. Lett. 60, 2853 (1992).

Teich, M. C.

B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991), p. 746.

Veldhuis, G. J.

R. Kashyap, G. J. Veldhuis, D. C. Rogers, P. F. Mckee, Appl. Phys. Lett. 64, 1332 (1994).
[Crossref]

Appl. Phys. Lett. (1)

R. Kashyap, G. J. Veldhuis, D. C. Rogers, P. F. Mckee, Appl. Phys. Lett. 64, 1332 (1994).
[Crossref]

J. Opt. Soc. Am. B (1)

Jpn. J. Appl. Phys. (1)

H. Nasu, H. Okamoto, A. Mito, J. Matsuoka, K. Kamiya, Jpn. J. Appl. Phys. 32, 1406 (1993).
[Crossref]

Opt. Lett. (4)

Phys. Lett. (1)

A. Okada, K. Ishii, K. Mito, K. Sasaki, Phys. Lett. 60, 2853 (1992).

Other (3)

W. R. Cook, H. Jaffe, in Electrooptic Coefficients, K.-H. Hellwege, ed., Vol. 11 of Landolt–Börnstein New Series (Springer-Verlag, Berlin, 1979), Chap. 5, p. 564.

B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991), p. 746.

D. E. Gray, AIP Handbook, 3rd ed. (McGraw-Hill, New York, 1972), Chap. 3, p. 104.

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Figures (3)

Fig. 1
Fig. 1

Experimental arrangement. A Mach–Zehnder interferometer operating at 633 nm, with the electric-field- and/or temperature-poled SiO2 sample in one arm and the LiNbO3 reference sample in the other arm, was used to measure the electro-optic effect. A double-balance-mixer detection arrangement was used to minimize noise that was due to laser fluctuations. ITO, indium tin oxide.

Fig. 2
Fig. 2

Frequency response of the signal from a self-supported SiO2 cover slip. The large, narrow responses are due to acoustic resonances coupled to the applied electrical signal as a result of the piezoelectric effect.

Fig. 3
Fig. 3

Frequency response of the signal from a poled SiO2 cover slip bonded to a larger SiO2 sample to shift the acoustic resonances away from the measurement interval. The vertical units are the same as those of Fig. 2. Note the remaining acoustic signals at multiples of 30 kHz. Also shown are the signal from the LiNbO3 sample (at a much reduced voltage of 0.2 V) and from an unpoled SiO2 sample.

Equations (5)

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n x = n y = n 0 n 0 3 r 13 E / 2 , n z = n 0 n 0 3 r 33 E / 2 ,
ϕ = π λ n 0 3 r 13 V d 1 d { [ 1 ( sin α / n ) 2 ] 1 / 2 } 1 .
ϕ = π λ n 0 3 V d 1 d { r 33 ( sin α / n ) 2 + r 13 [ 1 ( sin α / n ) 2 ] } { [ 1 ( sin α / n ) 2 ] 1 / 2 } 1 .
r i j 2 x i j ( 2 ) n 0 4 ,
E = E 0 [ 1 + A piezo ( v ) exp ( i v t ) + A eo exp ( i v t ) ] exp ( i ω t ) ,

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