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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 20, Iss. 5 — May. 1, 2003
  • pp: 793–800

Revisiting optical spectroscopy in a thin vapor cell: mixing of reflection and transmission as a Fabry–Perot microcavity effect

Gabriel Dutier, Solomon Saltiel, Daniel Bloch, and Martial Ducloy  »View Author Affiliations

JOSA B, Vol. 20, Issue 5, pp. 793-800 (2003)

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Transmission spectroscopy in an ultrathin vapor cell, which has been recently demonstrated as a new method of sub-Doppler spectroscopy in the optical domain, is revisited. We show that, because of an unavoidable Fabry–Perot effect, the observed signal—in transmission spectroscopy and selective reflection spectroscopy as well—is actually an interferometric mixture of the optical responses as provided in transmission and in reflection by a long macroscopic cell. After the derivation of a very general solution, we restrict ourselves to the case of a linear interaction with the resonant laser. We finally discuss the application to a two-level atom for which analytical expressions are given, in the large Doppler limit, for FM transmission and reflection signals.

© 2003 Optical Society of America

OCIS Codes
(020.1670) Atomic and molecular physics : Coherent optical effects
(020.3690) Atomic and molecular physics : Line shapes and shifts
(120.2230) Instrumentation, measurement, and metrology : Fabry-Perot
(300.6360) Spectroscopy : Spectroscopy, laser

Gabriel Dutier, Solomon Saltiel, Daniel Bloch, and Martial Ducloy, "Revisiting optical spectroscopy in a thin vapor cell: mixing of reflection and transmission as a Fabry–Perot microcavity effect," J. Opt. Soc. Am. B 20, 793-800 (2003)

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  15. Note that r1 is an amplitude reflection coefficient usually not much smaller than unity; in recent experiments (see Ref. 11) performed with a narrow cell with yttrium aluminum garnet (YAG) windows, one has n1=1.82, i.e., r1= 0.29. Note also that even with an antireflection coating, one usually has r1, 2≥0.1.
  16. The difficulties typical of the optically thick medium in comparable problems have been analysed in the appendix of Ref. 1 and in T. Vartanyan, D. Bloch, and M. Ducloy, “Blue shift paradox in selective reflection,” in Spectral Line Shapes, A. D. May, J. R. Drummond, eds., AIP Conference Proceedings 328 (American Institute of Physics, New York, 1995), pp. 249–250.
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  24. Note that the restriction to a finite cell length may intro-duce some additional changes relative to most common SR theories, as elaborated for various atomic models.
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  26. The essential dispersive response of SR spectroscopy in a long cell results only from the SR spatial averaging, which washes out the atomic response close to the (remote) second window. It should be recalled also that because of the symmetry breakdown occurring between arriving and departing atoms, and because of the atom–surface interaction, SR spectra in a long cell commonly include, in the vicinity of line center, a mixture of absorptive and dispersive responses—see notably the discussions in M. Chevrollier, M. Fichet, M. Oria, G. Rahmat, D. Bloch, and M. Ducloy, “High resolution selective reflection spectroscopy as a probe of long-range surface interaction: measurement of the surface van der Waals attraction exerted on excited Cs atoms,” J. Phys. II 2, 631–657 (1992); conversely, and as noted in Section 3 herein, the transmission through a relatively long cell exhibits simply absorption-like properties as long as the medium remains optically thin.
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  28. G. Dutier, A. Yarovitski, S. Saltiel, A. Papoyan, D. Sarkisyan, D. Bloch, and M. Ducloy, “Collapse and revival of a Dicke-type coherent narrowing in a sub-micron thick vapor cell transmission spectroscopy,” Europhys. Lett. (to be published).

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