Abstract

One-dimensional Fibonacci-type quasi-periodically domain-inverted structures have been successfully fabricated in a strontium barium niobate crystal by electric field poling. With a single such structure, type I phase-matched second-harmonic generation (SHG) has been demonstrated at several wavelengths from red to near ultraviolet. The spectral positions of the observed SHG peaks are in good agreement with theoretical predictions. The range of measured conversion efficiencies is 2–10%.

© 1997 Optical Society of America

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  1. J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
    [CrossRef]
  2. D. Feng, N. B. Ming, J. F. Hong, Y. S. Yang, J. S. Zhu, Z. Yang, and Y. N. Wang, Appl. Phys. Lett. 37, 607 (1980).
    [CrossRef]
  3. W. S. Wang, Q. Zhou, Z. H. Geng, and D. Feng, J. Cryst. Growth 79, 706 (1986).
    [CrossRef]
  4. J. Feng, Y. Y. Zhu, and N. B. Ming, Phys. Rev. B 41, 5578 (1990).
    [CrossRef]
  5. Y. Y. Zhu and N. B. Ming, Phys. Rev. B 42, 3676 (1990).
    [CrossRef]
  6. S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
    [CrossRef]
  7. M. Horowitz, A. Bekker, and B. Fischer, Appl. Phys. Lett. 62, 2619 (1993).
    [CrossRef]
  8. Y. Y. Zhu, J. S. Fu, R. F. Xiao, and G. K. L. Wong, Appl. Phys. Lett. 70, 1793 (1997).
    [CrossRef]
  9. A. M. Prokhorov and Yu. S. Kuz’minov, Ferroelectric Crystals for Laser Radiation Control (Hilger, New York, 1990).
  10. J. M. Marx, O. Eknoyan, H. F. Taylor, Z. Tang, and R. R. Neurgaonkar, Appl. Phys. Lett. 67, 1381 (1995).
    [CrossRef]
  11. E. L. Venturini, E. G. Spenser, P. V. Lenzo, and A. A. Mallman, J. Appl. Phys. 39, 343 (1968).
    [CrossRef]
  12. M. J. Weber, ed., Handbook of Laser Science and Technology (CRC, Boca Raton, Fla., 1986), Vol. III, Part I.
  13. S. N. Zhu, Y. Y. Zhu, Z. Y. Zhang, H. F. Wang, H. Shu, J. F. Hong, C. Z. Ge, and N. B. Ming, J. Appl. Phys. 77, 5481 (1995).
    [CrossRef]

1997

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Y. Y. Zhu, J. S. Fu, R. F. Xiao, and G. K. L. Wong, Appl. Phys. Lett. 70, 1793 (1997).
[CrossRef]

1995

J. M. Marx, O. Eknoyan, H. F. Taylor, Z. Tang, and R. R. Neurgaonkar, Appl. Phys. Lett. 67, 1381 (1995).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, Z. Y. Zhang, H. F. Wang, H. Shu, J. F. Hong, C. Z. Ge, and N. B. Ming, J. Appl. Phys. 77, 5481 (1995).
[CrossRef]

1993

M. Horowitz, A. Bekker, and B. Fischer, Appl. Phys. Lett. 62, 2619 (1993).
[CrossRef]

1990

J. Feng, Y. Y. Zhu, and N. B. Ming, Phys. Rev. B 41, 5578 (1990).
[CrossRef]

Y. Y. Zhu and N. B. Ming, Phys. Rev. B 42, 3676 (1990).
[CrossRef]

1986

W. S. Wang, Q. Zhou, Z. H. Geng, and D. Feng, J. Cryst. Growth 79, 706 (1986).
[CrossRef]

1980

D. Feng, N. B. Ming, J. F. Hong, Y. S. Yang, J. S. Zhu, Z. Yang, and Y. N. Wang, Appl. Phys. Lett. 37, 607 (1980).
[CrossRef]

1968

E. L. Venturini, E. G. Spenser, P. V. Lenzo, and A. A. Mallman, J. Appl. Phys. 39, 343 (1968).
[CrossRef]

1962

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Armstrong, J. A.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Bekker, A.

M. Horowitz, A. Bekker, and B. Fischer, Appl. Phys. Lett. 62, 2619 (1993).
[CrossRef]

Bloembergen, N.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Ducuing, J.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Eknoyan, O.

J. M. Marx, O. Eknoyan, H. F. Taylor, Z. Tang, and R. R. Neurgaonkar, Appl. Phys. Lett. 67, 1381 (1995).
[CrossRef]

Feng, D.

W. S. Wang, Q. Zhou, Z. H. Geng, and D. Feng, J. Cryst. Growth 79, 706 (1986).
[CrossRef]

D. Feng, N. B. Ming, J. F. Hong, Y. S. Yang, J. S. Zhu, Z. Yang, and Y. N. Wang, Appl. Phys. Lett. 37, 607 (1980).
[CrossRef]

Feng, J.

J. Feng, Y. Y. Zhu, and N. B. Ming, Phys. Rev. B 41, 5578 (1990).
[CrossRef]

Fischer, B.

M. Horowitz, A. Bekker, and B. Fischer, Appl. Phys. Lett. 62, 2619 (1993).
[CrossRef]

Fu, J. S.

Y. Y. Zhu, J. S. Fu, R. F. Xiao, and G. K. L. Wong, Appl. Phys. Lett. 70, 1793 (1997).
[CrossRef]

Ge, C. Z.

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, Z. Y. Zhang, H. F. Wang, H. Shu, J. F. Hong, C. Z. Ge, and N. B. Ming, J. Appl. Phys. 77, 5481 (1995).
[CrossRef]

Geng, Z. H.

W. S. Wang, Q. Zhou, Z. H. Geng, and D. Feng, J. Cryst. Growth 79, 706 (1986).
[CrossRef]

Hong, J. F.

S. N. Zhu, Y. Y. Zhu, Z. Y. Zhang, H. F. Wang, H. Shu, J. F. Hong, C. Z. Ge, and N. B. Ming, J. Appl. Phys. 77, 5481 (1995).
[CrossRef]

D. Feng, N. B. Ming, J. F. Hong, Y. S. Yang, J. S. Zhu, Z. Yang, and Y. N. Wang, Appl. Phys. Lett. 37, 607 (1980).
[CrossRef]

Horowitz, M.

M. Horowitz, A. Bekker, and B. Fischer, Appl. Phys. Lett. 62, 2619 (1993).
[CrossRef]

Kuz’minov, Yu. S.

A. M. Prokhorov and Yu. S. Kuz’minov, Ferroelectric Crystals for Laser Radiation Control (Hilger, New York, 1990).

Lenzo, P. V.

E. L. Venturini, E. G. Spenser, P. V. Lenzo, and A. A. Mallman, J. Appl. Phys. 39, 343 (1968).
[CrossRef]

Mallman, A. A.

E. L. Venturini, E. G. Spenser, P. V. Lenzo, and A. A. Mallman, J. Appl. Phys. 39, 343 (1968).
[CrossRef]

Marx, J. M.

J. M. Marx, O. Eknoyan, H. F. Taylor, Z. Tang, and R. R. Neurgaonkar, Appl. Phys. Lett. 67, 1381 (1995).
[CrossRef]

Ming, N. B.

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, Z. Y. Zhang, H. F. Wang, H. Shu, J. F. Hong, C. Z. Ge, and N. B. Ming, J. Appl. Phys. 77, 5481 (1995).
[CrossRef]

Y. Y. Zhu and N. B. Ming, Phys. Rev. B 42, 3676 (1990).
[CrossRef]

J. Feng, Y. Y. Zhu, and N. B. Ming, Phys. Rev. B 41, 5578 (1990).
[CrossRef]

D. Feng, N. B. Ming, J. F. Hong, Y. S. Yang, J. S. Zhu, Z. Yang, and Y. N. Wang, Appl. Phys. Lett. 37, 607 (1980).
[CrossRef]

Neurgaonkar, R. R.

J. M. Marx, O. Eknoyan, H. F. Taylor, Z. Tang, and R. R. Neurgaonkar, Appl. Phys. Lett. 67, 1381 (1995).
[CrossRef]

Pershan, P. S.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Prokhorov, A. M.

A. M. Prokhorov and Yu. S. Kuz’minov, Ferroelectric Crystals for Laser Radiation Control (Hilger, New York, 1990).

Qin, Y. Q.

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Shu, H.

S. N. Zhu, Y. Y. Zhu, Z. Y. Zhang, H. F. Wang, H. Shu, J. F. Hong, C. Z. Ge, and N. B. Ming, J. Appl. Phys. 77, 5481 (1995).
[CrossRef]

Spenser, E. G.

E. L. Venturini, E. G. Spenser, P. V. Lenzo, and A. A. Mallman, J. Appl. Phys. 39, 343 (1968).
[CrossRef]

Tang, Z.

J. M. Marx, O. Eknoyan, H. F. Taylor, Z. Tang, and R. R. Neurgaonkar, Appl. Phys. Lett. 67, 1381 (1995).
[CrossRef]

Taylor, H. F.

J. M. Marx, O. Eknoyan, H. F. Taylor, Z. Tang, and R. R. Neurgaonkar, Appl. Phys. Lett. 67, 1381 (1995).
[CrossRef]

Venturini, E. L.

E. L. Venturini, E. G. Spenser, P. V. Lenzo, and A. A. Mallman, J. Appl. Phys. 39, 343 (1968).
[CrossRef]

Wang, H. F.

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, Z. Y. Zhang, H. F. Wang, H. Shu, J. F. Hong, C. Z. Ge, and N. B. Ming, J. Appl. Phys. 77, 5481 (1995).
[CrossRef]

Wang, W. S.

W. S. Wang, Q. Zhou, Z. H. Geng, and D. Feng, J. Cryst. Growth 79, 706 (1986).
[CrossRef]

Wang, Y. N.

D. Feng, N. B. Ming, J. F. Hong, Y. S. Yang, J. S. Zhu, Z. Yang, and Y. N. Wang, Appl. Phys. Lett. 37, 607 (1980).
[CrossRef]

Wong, G. K. L.

Y. Y. Zhu, J. S. Fu, R. F. Xiao, and G. K. L. Wong, Appl. Phys. Lett. 70, 1793 (1997).
[CrossRef]

Xiao, R. F.

Y. Y. Zhu, J. S. Fu, R. F. Xiao, and G. K. L. Wong, Appl. Phys. Lett. 70, 1793 (1997).
[CrossRef]

Yang, Y. S.

D. Feng, N. B. Ming, J. F. Hong, Y. S. Yang, J. S. Zhu, Z. Yang, and Y. N. Wang, Appl. Phys. Lett. 37, 607 (1980).
[CrossRef]

Yang, Z.

D. Feng, N. B. Ming, J. F. Hong, Y. S. Yang, J. S. Zhu, Z. Yang, and Y. N. Wang, Appl. Phys. Lett. 37, 607 (1980).
[CrossRef]

Zhang, Z. Y.

S. N. Zhu, Y. Y. Zhu, Z. Y. Zhang, H. F. Wang, H. Shu, J. F. Hong, C. Z. Ge, and N. B. Ming, J. Appl. Phys. 77, 5481 (1995).
[CrossRef]

Zhou, Q.

W. S. Wang, Q. Zhou, Z. H. Geng, and D. Feng, J. Cryst. Growth 79, 706 (1986).
[CrossRef]

Zhu, J. S.

D. Feng, N. B. Ming, J. F. Hong, Y. S. Yang, J. S. Zhu, Z. Yang, and Y. N. Wang, Appl. Phys. Lett. 37, 607 (1980).
[CrossRef]

Zhu, S. N.

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, Z. Y. Zhang, H. F. Wang, H. Shu, J. F. Hong, C. Z. Ge, and N. B. Ming, J. Appl. Phys. 77, 5481 (1995).
[CrossRef]

Zhu, Y. Y.

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Y. Y. Zhu, J. S. Fu, R. F. Xiao, and G. K. L. Wong, Appl. Phys. Lett. 70, 1793 (1997).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, Z. Y. Zhang, H. F. Wang, H. Shu, J. F. Hong, C. Z. Ge, and N. B. Ming, J. Appl. Phys. 77, 5481 (1995).
[CrossRef]

Y. Y. Zhu and N. B. Ming, Phys. Rev. B 42, 3676 (1990).
[CrossRef]

J. Feng, Y. Y. Zhu, and N. B. Ming, Phys. Rev. B 41, 5578 (1990).
[CrossRef]

Appl. Phys. Lett.

D. Feng, N. B. Ming, J. F. Hong, Y. S. Yang, J. S. Zhu, Z. Yang, and Y. N. Wang, Appl. Phys. Lett. 37, 607 (1980).
[CrossRef]

M. Horowitz, A. Bekker, and B. Fischer, Appl. Phys. Lett. 62, 2619 (1993).
[CrossRef]

Y. Y. Zhu, J. S. Fu, R. F. Xiao, and G. K. L. Wong, Appl. Phys. Lett. 70, 1793 (1997).
[CrossRef]

J. M. Marx, O. Eknoyan, H. F. Taylor, Z. Tang, and R. R. Neurgaonkar, Appl. Phys. Lett. 67, 1381 (1995).
[CrossRef]

J. Appl. Phys.

E. L. Venturini, E. G. Spenser, P. V. Lenzo, and A. A. Mallman, J. Appl. Phys. 39, 343 (1968).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, Z. Y. Zhang, H. F. Wang, H. Shu, J. F. Hong, C. Z. Ge, and N. B. Ming, J. Appl. Phys. 77, 5481 (1995).
[CrossRef]

J. Cryst. Growth

W. S. Wang, Q. Zhou, Z. H. Geng, and D. Feng, J. Cryst. Growth 79, 706 (1986).
[CrossRef]

Phys. Rev.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Phys. Rev. B

J. Feng, Y. Y. Zhu, and N. B. Ming, Phys. Rev. B 41, 5578 (1990).
[CrossRef]

Y. Y. Zhu and N. B. Ming, Phys. Rev. B 42, 3676 (1990).
[CrossRef]

Phys. Rev. Lett.

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Other

M. J. Weber, ed., Handbook of Laser Science and Technology (CRC, Boca Raton, Fla., 1986), Vol. III, Part I.

A. M. Prokhorov and Yu. S. Kuz’minov, Ferroelectric Crystals for Laser Radiation Control (Hilger, New York, 1990).

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Figures (3)

Fig. 1
Fig. 1

Dependence of dispersion for extraordinary rays on the fundamental wavelength. Inset, relation between coherence length and fundamental wavelength. Filled circles, measured results; solid curves, calculated from the dispersion relation of SBN(0.61). ns and nf, refractive indices of the second-harmonic and the fundamental beams, respectively.

Fig. 2
Fig. 2

Second-harmonic spectra for the oωoωe2ω configuration. (a) Experimentally measured results, (b) calculated numerically from the experimental results, (c) calculated by use of the dispersion relation of SBN(0.61).

Fig. 3
Fig. 3

Dependence of dispersion for ordinary rays on the fundamental wavelength. Inset, relation between the coherence length and the fundamental wavelength. Filled circles, measured results; solid curves, calculated from the dispersion relation of SBN(0.61). ns and nf, refractive indices of the second harmonic and the fundamental beams, respectively.

Tables (1)

Tables Icon

Table 1 Fundamental Wavelengths for SHG with Various Indices

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

Δk=2πm+nτ/D,
n2=2.6117+2.2381λ2λ2-0.05534-0.02507λ2.
n2=2.848+2.022λ2λ2-0.07408+17.77λ2620.9-λ2,
deffm, n=dsin½Gm, nl½Gm, nlsinXm, nXm, n,

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