Abstract

We report a new technique for determining second-order nonlinear optical coefficients that uses the spectral brightness of spontaneous parametric fluorescence. Measurements with this technique on two separate AgGaS2 crystals yielded values of 22.9 and 24.3 pm/V for |d36|, and measurements on a KTP crystal yielded 4.1 pm/V for |d24|. The uncertainty of the determined values is approximately ±10%.

© 1994 Optical Society of America

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References

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  1. Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984), Chap. 9, p. 117.
  2. E. C. Cheung, J. M. Liu, J. Opt. Soc. Am. B 7, 1385 (1990).
    [CrossRef]
  3. E. C. Cheung, J. M. Liu, J. Opt. Soc. Am. B 8, 1491 (1991).
    [CrossRef]
  4. K. Koch, E. C. Cheung, G. T. Moore, S. H. Chakmakjian, J. M. Liu, “Hot spots in parametric fluorescence with a pump beam of finite cross section,” submitted to IEEE J. Quantum Electron.
  5. R. L. Byer, S. E. Harris, Phys. Rev. 168, 1064 (1968).
    [CrossRef]
  6. T. G. Giallorenzi, C. L. Tang, Phys. Rev. 166, 225 (1968).
    [CrossRef]
  7. R. C. Eckardt, H. Masuda, Y. X. Fan, R. Byer, IEEE J. Quantum Electron. 26, 922 (1990).
    [CrossRef]
  8. D. A. Roberts, IEEE J. Quantum Electron. 28, 2057 (1992).
    [CrossRef]
  9. J. M. Liu, J. K Chee, Opt. Lett. 15, 685 (1990).
    [CrossRef] [PubMed]
  10. J. K. Chee, J.-M. Liu, IEEE J. Quantum Electron. 26, 541 (1990).
    [CrossRef]
  11. G. D. Boyd, H. Kasper, J. H. McFee, IEEE J. Quantum Electron. QE-7, 563 (1971); G. C. Bhar, R. C. Smith, IEEE J. Quantum Electron. QE-10, 546 (1974); P. J. Kupecek, C. A. Schwartz, D. S. Chemla, IEEE J. Quantum Electron. QE-10, 540 (1974).
    [CrossRef]
  12. R. DeSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, H. Vanherzeele, Opt. Lett. 17, 28 (1992); H. Vanherzeele, J. D. Bierlein, Opt. Lett. 17, 982 (1992).
    [CrossRef] [PubMed]

1992 (2)

1991 (1)

1990 (4)

E. C. Cheung, J. M. Liu, J. Opt. Soc. Am. B 7, 1385 (1990).
[CrossRef]

R. C. Eckardt, H. Masuda, Y. X. Fan, R. Byer, IEEE J. Quantum Electron. 26, 922 (1990).
[CrossRef]

J. M. Liu, J. K Chee, Opt. Lett. 15, 685 (1990).
[CrossRef] [PubMed]

J. K. Chee, J.-M. Liu, IEEE J. Quantum Electron. 26, 541 (1990).
[CrossRef]

1971 (1)

G. D. Boyd, H. Kasper, J. H. McFee, IEEE J. Quantum Electron. QE-7, 563 (1971); G. C. Bhar, R. C. Smith, IEEE J. Quantum Electron. QE-10, 546 (1974); P. J. Kupecek, C. A. Schwartz, D. S. Chemla, IEEE J. Quantum Electron. QE-10, 540 (1974).
[CrossRef]

1968 (2)

R. L. Byer, S. E. Harris, Phys. Rev. 168, 1064 (1968).
[CrossRef]

T. G. Giallorenzi, C. L. Tang, Phys. Rev. 166, 225 (1968).
[CrossRef]

Boyd, G. D.

G. D. Boyd, H. Kasper, J. H. McFee, IEEE J. Quantum Electron. QE-7, 563 (1971); G. C. Bhar, R. C. Smith, IEEE J. Quantum Electron. QE-10, 546 (1974); P. J. Kupecek, C. A. Schwartz, D. S. Chemla, IEEE J. Quantum Electron. QE-10, 540 (1974).
[CrossRef]

Byer, R.

R. C. Eckardt, H. Masuda, Y. X. Fan, R. Byer, IEEE J. Quantum Electron. 26, 922 (1990).
[CrossRef]

Byer, R. L.

R. L. Byer, S. E. Harris, Phys. Rev. 168, 1064 (1968).
[CrossRef]

Chakmakjian, S. H.

K. Koch, E. C. Cheung, G. T. Moore, S. H. Chakmakjian, J. M. Liu, “Hot spots in parametric fluorescence with a pump beam of finite cross section,” submitted to IEEE J. Quantum Electron.

Chee, J. K

Chee, J. K.

J. K. Chee, J.-M. Liu, IEEE J. Quantum Electron. 26, 541 (1990).
[CrossRef]

Cheung, E. C.

E. C. Cheung, J. M. Liu, J. Opt. Soc. Am. B 8, 1491 (1991).
[CrossRef]

E. C. Cheung, J. M. Liu, J. Opt. Soc. Am. B 7, 1385 (1990).
[CrossRef]

K. Koch, E. C. Cheung, G. T. Moore, S. H. Chakmakjian, J. M. Liu, “Hot spots in parametric fluorescence with a pump beam of finite cross section,” submitted to IEEE J. Quantum Electron.

DeSalvo, R.

Eckardt, R. C.

R. C. Eckardt, H. Masuda, Y. X. Fan, R. Byer, IEEE J. Quantum Electron. 26, 922 (1990).
[CrossRef]

Fan, Y. X.

R. C. Eckardt, H. Masuda, Y. X. Fan, R. Byer, IEEE J. Quantum Electron. 26, 922 (1990).
[CrossRef]

Giallorenzi, T. G.

T. G. Giallorenzi, C. L. Tang, Phys. Rev. 166, 225 (1968).
[CrossRef]

Hagan, D. J.

Harris, S. E.

R. L. Byer, S. E. Harris, Phys. Rev. 168, 1064 (1968).
[CrossRef]

Kasper, H.

G. D. Boyd, H. Kasper, J. H. McFee, IEEE J. Quantum Electron. QE-7, 563 (1971); G. C. Bhar, R. C. Smith, IEEE J. Quantum Electron. QE-10, 546 (1974); P. J. Kupecek, C. A. Schwartz, D. S. Chemla, IEEE J. Quantum Electron. QE-10, 540 (1974).
[CrossRef]

Koch, K.

K. Koch, E. C. Cheung, G. T. Moore, S. H. Chakmakjian, J. M. Liu, “Hot spots in parametric fluorescence with a pump beam of finite cross section,” submitted to IEEE J. Quantum Electron.

Liu, J. M.

E. C. Cheung, J. M. Liu, J. Opt. Soc. Am. B 8, 1491 (1991).
[CrossRef]

J. M. Liu, J. K Chee, Opt. Lett. 15, 685 (1990).
[CrossRef] [PubMed]

E. C. Cheung, J. M. Liu, J. Opt. Soc. Am. B 7, 1385 (1990).
[CrossRef]

K. Koch, E. C. Cheung, G. T. Moore, S. H. Chakmakjian, J. M. Liu, “Hot spots in parametric fluorescence with a pump beam of finite cross section,” submitted to IEEE J. Quantum Electron.

Liu, J.-M.

J. K. Chee, J.-M. Liu, IEEE J. Quantum Electron. 26, 541 (1990).
[CrossRef]

Masuda, H.

R. C. Eckardt, H. Masuda, Y. X. Fan, R. Byer, IEEE J. Quantum Electron. 26, 922 (1990).
[CrossRef]

McFee, J. H.

G. D. Boyd, H. Kasper, J. H. McFee, IEEE J. Quantum Electron. QE-7, 563 (1971); G. C. Bhar, R. C. Smith, IEEE J. Quantum Electron. QE-10, 546 (1974); P. J. Kupecek, C. A. Schwartz, D. S. Chemla, IEEE J. Quantum Electron. QE-10, 540 (1974).
[CrossRef]

Moore, G. T.

K. Koch, E. C. Cheung, G. T. Moore, S. H. Chakmakjian, J. M. Liu, “Hot spots in parametric fluorescence with a pump beam of finite cross section,” submitted to IEEE J. Quantum Electron.

Roberts, D. A.

D. A. Roberts, IEEE J. Quantum Electron. 28, 2057 (1992).
[CrossRef]

Sheik-Bahae, M.

Shen, Y. R.

Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984), Chap. 9, p. 117.

Stegeman, G.

Tang, C. L.

T. G. Giallorenzi, C. L. Tang, Phys. Rev. 166, 225 (1968).
[CrossRef]

Van Stryland, E. W.

Vanherzeele, H.

IEEE J. Quantum Electron. (4)

R. C. Eckardt, H. Masuda, Y. X. Fan, R. Byer, IEEE J. Quantum Electron. 26, 922 (1990).
[CrossRef]

D. A. Roberts, IEEE J. Quantum Electron. 28, 2057 (1992).
[CrossRef]

J. K. Chee, J.-M. Liu, IEEE J. Quantum Electron. 26, 541 (1990).
[CrossRef]

G. D. Boyd, H. Kasper, J. H. McFee, IEEE J. Quantum Electron. QE-7, 563 (1971); G. C. Bhar, R. C. Smith, IEEE J. Quantum Electron. QE-10, 546 (1974); P. J. Kupecek, C. A. Schwartz, D. S. Chemla, IEEE J. Quantum Electron. QE-10, 540 (1974).
[CrossRef]

J. Opt. Soc. Am. B (2)

Opt. Lett. (2)

Phys. Rev. (2)

R. L. Byer, S. E. Harris, Phys. Rev. 168, 1064 (1968).
[CrossRef]

T. G. Giallorenzi, C. L. Tang, Phys. Rev. 166, 225 (1968).
[CrossRef]

Other (2)

K. Koch, E. C. Cheung, G. T. Moore, S. H. Chakmakjian, J. M. Liu, “Hot spots in parametric fluorescence with a pump beam of finite cross section,” submitted to IEEE J. Quantum Electron.

Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984), Chap. 9, p. 117.

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Figures (3)

Fig. 1
Fig. 1

Schematic of the experimental setup.

Fig. 2
Fig. 2

Spectral scans of the total parametric fluorescence from AgGaS2 (solid curve) and the corresponding calibration laser (dashed curve).

Fig. 3
Fig. 3

Spectral scans of the total parametric fluorescence from KTP (solid curve) and the corresponding calibration laser (dashed curve).

Equations (2)

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P s = ( 2 π ) 4 2 ћ cd eff 2 L λ p 0 n p 2 λ s 5 λ i 2 P p d λ s ,
d eff 2 = 0 n p 2 2 ( 2 π ) 4 ћ cL λ p P c P p V s λ s 5 λ i 2 V c Δ λ c ,

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