## Density effects in forward scattering of resonant light in rubidium vapor

JOSA B, Vol. 22, Issue 1, pp. 37-43 (2005)

http://dx.doi.org/10.1364/JOSAB.22.000037

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### Abstract

Transmission of light through an atomic sample placed between crossed polarizers in a magnetic field is jointly determined by Faraday rotation and net absorption: Transmission increases with rotation and decreases with absorption. Both rotation and absorption are proportional to the atomic density N_0; hence, in a certain range of N_0, the two effects may compete, yielding a distinct density dependence of the transmitted light. We have studied such dependence in rubidium vapor for N_0 of approximately 6.0×10^9 to 3.0×10^11 atoms/cm3 with resonant laser light. We present interpretation of the competition effect and discuss its possible application for atomic density determination.

© 2005 Optical Society of America

**OCIS Codes**

(190.0190) Nonlinear optics : Nonlinear optics

(290.0290) Scattering : Scattering

**Citation**

Szymon Pustelny, Wojciech Lewoczko, and Wojciech Gawlik, "Density effects in forward scattering of resonant light in rubidium vapor," J. Opt. Soc. Am. B **22**, 37-43 (2005)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-22-1-37

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### References

- D. Budker, W. Gawlik, D. F. Kimball, S. M. Rochester, A. Weis, and V. V. Yashchuk, "Resonant nonlinear magneto-optical effects in atoms," Rev. Mod. Phys. 74, 1153-1201 (2002).
- W. Seka and F. L. Curzon, "Measurements of relative transition probabilities using Faraday effect," J. Quant. Spectrosc. Radiat. Transf. 8, 1147-1162 (1968).
- W. Gawlik, J. Kowalski, R. Neumann, and H. B. Wiegemann, "A new method for measuring oscillator strengths using the resonant Faraday effect in monochromatic light," J. Phys. B 12, 3873-3882 (1979).
- E. Vliegen, S. Kadlecek, L. W. Anderson, T. G. Walker, C. J. Erickson, and W. Happer, "Faraday rotation density mea-surements of optically thick alkali metal vapors," Nucl. Instrum. Methods Phys. Res. A 460, 444-450 (2001).
- A. Corney, B. P. Kibble, and G. W. Series, "Forward scattering of resonance radiation with special reference to double resonance and level-crossing experiments," Proc. R. Soc. London, Ser. A 293, 70-93 (1966).
- W. Gawlik, J. Kowalski, R. Neumann, and F. Träger, "Observation of the electric hexadecapole moment of free Na atoms in a forward scattering experiment," Opt. Commun. 12, 400-404 (1974).
- S. Giraud-Cotton, V. P. Kaftandjian, and L. Klein, "Forward scattering of resonant radiation as a function of applied magnetic field: theoretical study of the hyperfine lines of the sodium doublet," Phys. Lett. A 88, 453-436 (1982).
- X. Chen, V. L. Telegdi, and A. Weis, "Quantitative study of the nonlinear Macaluso-Corbino (resonant Faraday) effect in Cs," Opt. Commun. 74, 301-305 (1990).
- B. Ståhlberg, P. Jungner, T. Fellman, and A. Lindberg, "Nonlinear forward scattering of resonant laser-light from excited neon systems," Appl. Phys. B 50, 547-551 (1990).
- F. Schuller and D. N. Stacey, "Magneto-optical rotation in atomic transitions between levels with J=0 and J=1," Phys. Rev. A 60, 973-981 (1999).
- B. W. Holmes and J. A. R. Griffith, "A detailed study of the effects of weak magnetic fields on the forward scattering of resonant laser light by sodium vapor," J. Phys. B 28, 2829-2846 (1995).
- B. Lobodzin´ski and W. Gawlik, "Multipole moments and trap states in forward scattering of resonance light," Phys. Rev. A 54, 2238-2252 (1996).
- G. Wa¸sik, W. Gawlik, J. Zachorowski, and W. Zawadzki, "Laser frequency stabilization by Doppler-free magnetic dichroism," Appl. Phys. B 75, 613-619 (2002).
- J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1972), Chap. 7.
- R. W. Boyd, Nonlinear Optics (Academic, Boston, 1992), Chap. 3.
- E. Arimondo, "Coherent population trapping in laser spectroscopy," in Progress in Optics, Vol. XXXV , E. Wolf, ed. (Elsevier, North-Holland, Amsterdam, 1996), pp. 259-354.
- B. Fried and S. Conte, The Plasma Dispersion Function (Academic, New York, 1961).
- M. Abramovitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972), p. 297.
- E. Arimondo, "Relaxation processes in coherent-population trapping," Phys. Rev. A 54, 2216-2223 (1996).
- A. B. Matsko, I. Novikova, M. O. Scully, and G. R. Welch, "Radiation trapping in coherent media," Phys. Rev. Lett. 87, 133601 (2001).
- CRC Handbook of Chemistry and Physics , 73rd ed., D. R. Lide, ed. (CRC Press, Boca Raton, Fla., 1992), pp. 5-80.
- A. N. Nesmyanov, Vapor Pressures of the Chemical Elements (Elsevier, New York, 1963).
- D. C. Thompson and G.-X. Xu, "Optical measurements of vapor pressures of Rb and a Rb-K mixture," Can. J. Phys. 60, 1496-1501 (1982).

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