Abstract

We measured the Stark coefficient for the 3H4(1) → 1D2(1) transition of Pr3+:YAlO3, using the technique of Stark-modulated photon echoes. This gave a value of 58 kHz/(V cm−1) for the vector difference between ground-and excited-state electric dipole moments. The resolution with which Stark shifts could be measured in these experiments was ~500 Hz, which is more than an order of magnitude less than the homogeneous linewidth.

© 1994 Optical Society of America

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References

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  1. R. M. Macfarlane, R. M. Shelby, in Spectroscopy of Solids Containing Rare Earth Ions, A. A. Kaplyanskii, R. M. Macfarlane, eds. (North-Holland, Amsterdam, 1987), p. 51.
  2. R. M. Macfarlane, R. M. Shelby, Opt. Commun. 39, 169 (1981); R. W. Equall, Y. Sun, R. L. Cone, R. M. Macfarlane, Phys. Rev. Lett. 72, 2179 (1994).
    [CrossRef] [PubMed]
  3. R. M. Macfarlane, R. M. Shelby, R. L. Shoemaker, Phys. Rev. Lett. 23, 1726 (1979).
    [CrossRef]
  4. T. W. Mossberg, Opt. Lett. 7, 77 (1982); W. R. Babbitt, T. W. Mossberg, Opt. Commun. 65, 185 (1988).
    [CrossRef] [PubMed]
  5. M. Mitsunaga, N. Uesugi, Opt. Lett. 15, 195 (1990); M. Mitsunaga, R. Yano, N. Uesugi, Opt. Lett. 16, 1890 (1991); R. Yano, M. Mitsunaga, N. Uesugi, J. Opt. Soc. Am. B 9, (1992).
    [CrossRef] [PubMed]
  6. E. Y. Xu, S. Kroll, D. L. Huestis, R. Kachru, M. K. Kim, Opt. Lett. 15, 562 (1990); X. A. Shen, R. Kachru, Opt. Lett. 17, 520 (1992); X. A. Shen, Y. S. Bai, R. Kachru, Opt. Lett. 17, 1079 (1992).
    [CrossRef] [PubMed]
  7. W. B. Mims, Phys. Rev. 133, A835 (1964).
    [CrossRef]
  8. Y. P. Wang, R. S. Meltzer, Phys. Rev. B 45, 10119 (1992).
    [CrossRef]
  9. A. J. Meixner, C. M. Jefferson, R. M. Macfarlane, Phys. Rev. B 46, 5912 (1992).
    [CrossRef]
  10. M. Diehl, R. Brandt, Mat. Res. Bull. 10, 85 (1975).
    [CrossRef]
  11. L. E. Erickson, Phys. Rev. B 19, 4412 (1979).
    [CrossRef]
  12. J. Huang, J. M. Zhang, A. Lezama, T. W. Mossberg, Phys. Rev. Lett. 63, 78 (1989); G. K. Liu, R. L. Cone, Phys. Rev. B 41, 6193 (1990); S. Kroll, E. Y. Xu, M. K. Kim, M. Mitsunaga, R. Kachru, Phys. Rev. B 41, 11568 (1990).
    [CrossRef] [PubMed]
  13. M. Mitsunaga, R. Yano, N. Uesugi, Phys. Rev. B 45, 12760 (1992).
    [CrossRef]

1992 (3)

Y. P. Wang, R. S. Meltzer, Phys. Rev. B 45, 10119 (1992).
[CrossRef]

A. J. Meixner, C. M. Jefferson, R. M. Macfarlane, Phys. Rev. B 46, 5912 (1992).
[CrossRef]

M. Mitsunaga, R. Yano, N. Uesugi, Phys. Rev. B 45, 12760 (1992).
[CrossRef]

1990 (2)

1989 (1)

J. Huang, J. M. Zhang, A. Lezama, T. W. Mossberg, Phys. Rev. Lett. 63, 78 (1989); G. K. Liu, R. L. Cone, Phys. Rev. B 41, 6193 (1990); S. Kroll, E. Y. Xu, M. K. Kim, M. Mitsunaga, R. Kachru, Phys. Rev. B 41, 11568 (1990).
[CrossRef] [PubMed]

1982 (1)

1981 (1)

R. M. Macfarlane, R. M. Shelby, Opt. Commun. 39, 169 (1981); R. W. Equall, Y. Sun, R. L. Cone, R. M. Macfarlane, Phys. Rev. Lett. 72, 2179 (1994).
[CrossRef] [PubMed]

1979 (2)

R. M. Macfarlane, R. M. Shelby, R. L. Shoemaker, Phys. Rev. Lett. 23, 1726 (1979).
[CrossRef]

L. E. Erickson, Phys. Rev. B 19, 4412 (1979).
[CrossRef]

1975 (1)

M. Diehl, R. Brandt, Mat. Res. Bull. 10, 85 (1975).
[CrossRef]

1964 (1)

W. B. Mims, Phys. Rev. 133, A835 (1964).
[CrossRef]

Brandt, R.

M. Diehl, R. Brandt, Mat. Res. Bull. 10, 85 (1975).
[CrossRef]

Diehl, M.

M. Diehl, R. Brandt, Mat. Res. Bull. 10, 85 (1975).
[CrossRef]

Erickson, L. E.

L. E. Erickson, Phys. Rev. B 19, 4412 (1979).
[CrossRef]

Huang, J.

J. Huang, J. M. Zhang, A. Lezama, T. W. Mossberg, Phys. Rev. Lett. 63, 78 (1989); G. K. Liu, R. L. Cone, Phys. Rev. B 41, 6193 (1990); S. Kroll, E. Y. Xu, M. K. Kim, M. Mitsunaga, R. Kachru, Phys. Rev. B 41, 11568 (1990).
[CrossRef] [PubMed]

Huestis, D. L.

Jefferson, C. M.

A. J. Meixner, C. M. Jefferson, R. M. Macfarlane, Phys. Rev. B 46, 5912 (1992).
[CrossRef]

Kachru, R.

Kim, M. K.

Kroll, S.

Lezama, A.

J. Huang, J. M. Zhang, A. Lezama, T. W. Mossberg, Phys. Rev. Lett. 63, 78 (1989); G. K. Liu, R. L. Cone, Phys. Rev. B 41, 6193 (1990); S. Kroll, E. Y. Xu, M. K. Kim, M. Mitsunaga, R. Kachru, Phys. Rev. B 41, 11568 (1990).
[CrossRef] [PubMed]

Macfarlane, R. M.

A. J. Meixner, C. M. Jefferson, R. M. Macfarlane, Phys. Rev. B 46, 5912 (1992).
[CrossRef]

R. M. Macfarlane, R. M. Shelby, Opt. Commun. 39, 169 (1981); R. W. Equall, Y. Sun, R. L. Cone, R. M. Macfarlane, Phys. Rev. Lett. 72, 2179 (1994).
[CrossRef] [PubMed]

R. M. Macfarlane, R. M. Shelby, R. L. Shoemaker, Phys. Rev. Lett. 23, 1726 (1979).
[CrossRef]

R. M. Macfarlane, R. M. Shelby, in Spectroscopy of Solids Containing Rare Earth Ions, A. A. Kaplyanskii, R. M. Macfarlane, eds. (North-Holland, Amsterdam, 1987), p. 51.

Meixner, A. J.

A. J. Meixner, C. M. Jefferson, R. M. Macfarlane, Phys. Rev. B 46, 5912 (1992).
[CrossRef]

Meltzer, R. S.

Y. P. Wang, R. S. Meltzer, Phys. Rev. B 45, 10119 (1992).
[CrossRef]

Mims, W. B.

W. B. Mims, Phys. Rev. 133, A835 (1964).
[CrossRef]

Mitsunaga, M.

Mossberg, T. W.

J. Huang, J. M. Zhang, A. Lezama, T. W. Mossberg, Phys. Rev. Lett. 63, 78 (1989); G. K. Liu, R. L. Cone, Phys. Rev. B 41, 6193 (1990); S. Kroll, E. Y. Xu, M. K. Kim, M. Mitsunaga, R. Kachru, Phys. Rev. B 41, 11568 (1990).
[CrossRef] [PubMed]

T. W. Mossberg, Opt. Lett. 7, 77 (1982); W. R. Babbitt, T. W. Mossberg, Opt. Commun. 65, 185 (1988).
[CrossRef] [PubMed]

Shelby, R. M.

R. M. Macfarlane, R. M. Shelby, Opt. Commun. 39, 169 (1981); R. W. Equall, Y. Sun, R. L. Cone, R. M. Macfarlane, Phys. Rev. Lett. 72, 2179 (1994).
[CrossRef] [PubMed]

R. M. Macfarlane, R. M. Shelby, R. L. Shoemaker, Phys. Rev. Lett. 23, 1726 (1979).
[CrossRef]

R. M. Macfarlane, R. M. Shelby, in Spectroscopy of Solids Containing Rare Earth Ions, A. A. Kaplyanskii, R. M. Macfarlane, eds. (North-Holland, Amsterdam, 1987), p. 51.

Shoemaker, R. L.

R. M. Macfarlane, R. M. Shelby, R. L. Shoemaker, Phys. Rev. Lett. 23, 1726 (1979).
[CrossRef]

Uesugi, N.

Wang, Y. P.

Y. P. Wang, R. S. Meltzer, Phys. Rev. B 45, 10119 (1992).
[CrossRef]

Xu, E. Y.

Yano, R.

M. Mitsunaga, R. Yano, N. Uesugi, Phys. Rev. B 45, 12760 (1992).
[CrossRef]

Zhang, J. M.

J. Huang, J. M. Zhang, A. Lezama, T. W. Mossberg, Phys. Rev. Lett. 63, 78 (1989); G. K. Liu, R. L. Cone, Phys. Rev. B 41, 6193 (1990); S. Kroll, E. Y. Xu, M. K. Kim, M. Mitsunaga, R. Kachru, Phys. Rev. B 41, 11568 (1990).
[CrossRef] [PubMed]

Mat. Res. Bull. (1)

M. Diehl, R. Brandt, Mat. Res. Bull. 10, 85 (1975).
[CrossRef]

Opt. Commun. (1)

R. M. Macfarlane, R. M. Shelby, Opt. Commun. 39, 169 (1981); R. W. Equall, Y. Sun, R. L. Cone, R. M. Macfarlane, Phys. Rev. Lett. 72, 2179 (1994).
[CrossRef] [PubMed]

Opt. Lett. (3)

Phys. Rev. (1)

W. B. Mims, Phys. Rev. 133, A835 (1964).
[CrossRef]

Phys. Rev. B (4)

Y. P. Wang, R. S. Meltzer, Phys. Rev. B 45, 10119 (1992).
[CrossRef]

A. J. Meixner, C. M. Jefferson, R. M. Macfarlane, Phys. Rev. B 46, 5912 (1992).
[CrossRef]

L. E. Erickson, Phys. Rev. B 19, 4412 (1979).
[CrossRef]

M. Mitsunaga, R. Yano, N. Uesugi, Phys. Rev. B 45, 12760 (1992).
[CrossRef]

Phys. Rev. Lett. (2)

J. Huang, J. M. Zhang, A. Lezama, T. W. Mossberg, Phys. Rev. Lett. 63, 78 (1989); G. K. Liu, R. L. Cone, Phys. Rev. B 41, 6193 (1990); S. Kroll, E. Y. Xu, M. K. Kim, M. Mitsunaga, R. Kachru, Phys. Rev. B 41, 11568 (1990).
[CrossRef] [PubMed]

R. M. Macfarlane, R. M. Shelby, R. L. Shoemaker, Phys. Rev. Lett. 23, 1726 (1979).
[CrossRef]

Other (1)

R. M. Macfarlane, R. M. Shelby, in Spectroscopy of Solids Containing Rare Earth Ions, A. A. Kaplyanskii, R. M. Macfarlane, eds. (North-Holland, Amsterdam, 1987), p. 51.

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Figures (2)

Fig. 1
Fig. 1

(a) Pulse sequences used for electric-field-induced echo modulation. The photon echo appears at a time t12 after the second pulse (or, in the case of a stimulated echo, after the third pulse), (b) Calculated form of the excited-state population gratings created by the two echo excitation pulses as a function of the pulse separation in units of the dephasing time T2. Note that, as the period of the grating becomes smaller than the inverse dephasing time, the amplitude of the population modulation decreases strongly.

Fig. 2
Fig. 2

Stark-modulated photon-echo curves: (a) for Esa, t12 = 20 μs and a Stark pulse of length 17.5 μs; (b) for Esa, t12 = 80 μs and a Stark pulse of length 77.5 μs; (c) for Esc, t12 = 80 μs and a Stark pulse of length 77.5 μs.

Equations (2)

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2 ρ 22 ( Δ ) = sin 2 [ χ ( Δ ) τ ] × { exp ( t / T 1 ) + exp ( t / T 2 ) cos [ Φ Δ ( t 12 ) ] } + { 1 cos [ χ ( Δ ) τ ] } [ 1 exp ( t / T 1 ) ] ,
I echo = ( c ε 0 / 2 ) | E tot ( t 12 ) | 2 = I 0 [ 1 + cos ( 2 Ω t ) ] / 2 ,

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