Abstract

By imaging the dark states that are due to coherent population trapping in Na atomic vapor, we have succeeded in depicting a spatially inhomogeneous magnetic field. Highly resolved dark lines represent cross sections of the surfaces of constant magnetic fields, and they agree well with the predicted hyperfine Zeeman splitting and the two-photon selection rules of the Na atom. Mapping was made two dimensionally in real time, but extension to three dimensions is straightforward. Furthermore, unlike the previous techniques based on optical pumping, this method can be used for any magnetic-field directions.

© 2003 Optical Society of America

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References

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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Other (11)

G. Alzetta, A. Gozzini, L. Moi, and G. Orriols, Nuovo Cimento 36, 5 (1976).
[CrossRef]

E. Arimondo and G. Orriols, Lett. Nuovo Cimento 17, 333 (1976).
[CrossRef]

H. Schmidt and A. Imamoḡlu, Opt. Lett. 21, 1936 (1996).
[CrossRef] [PubMed]

M. Fleischhauer and M. D. Lukin, Phys. Rev. Lett. 84, 5094 (2000).
[CrossRef] [PubMed]

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

K. Motomura and M. Mitsunaga, J. Opt. Soc. Am. B 19, 2456 (2002).
[CrossRef]

R. Höller, F. Renzoni, L. Windholz, and J. H. Xu, J. Opt. Soc. Am. B 14, 2221 (1997).
[CrossRef]

A. C. Tam and W. Happer, Appl. Phys. Lett. 30, 580 (1977).
[CrossRef]

M. Stähler, R. Wynands, S. Knappe, J. Kitching, L. Hollberg, A. Taichenachev, and V. Yudin, Opt. Lett. 27, 1472 (2002).
[CrossRef]

K. Motomura, H. Asahi, K. Harada, and M. Mitsunaga, “Nondegenerate transient four-wave mixing in Na vapor,” to be submitted to Opt. Lett..

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Figures (4)

Fig. 1
Fig. 1

Schematic of the DST experiment: PBSs, polarizing beam splitters; other abbreviations defined in text.

Fig. 2
Fig. 2

(a) CCD camera images of the fluorescence, showing the dark states for δν=0,4.0,8.0,12.1,16.1,20.1 MHz for Na atomic vapor with a buffer gas. (b) Lateral intensity profiles corresponding to (a).

Fig. 3
Fig. 3

Same as Fig. 2 but without a buffer gas.

Fig. 4
Fig. 4

Typical picture of dark-state imaging (or two-dimensional mapping of a magnetic field) for δν=4.0 MHz. Field of view, 7.2 mm.

Equations (2)

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δν=mF+mF2μBBrh,
x22+y22+z2=2hδνmF+mFμBB2.

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