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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 25, Iss. 5 — May. 1, 2008
  • pp: 701–711

Analytic solutions for the saturated absorption spectra

Geol Moon and Heung-Ryoul Noh  »View Author Affiliations

JOSA B, Vol. 25, Issue 5, pp. 701-711 (2008)

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We present analytic solutions for saturated absorption spectra. The analytic forms of all the ground- and excited-state populations were obtained, and the absorption of a counterpropagating probe beam was calculated by solving the rate equations in the presence of a pump laser beam. The analytic solutions were compared with the numerical, experimental results, and Nakayama’s model and good agreement was found between them. We found that the analytic theory could provide accurate spectra at an arbitrary pump beam intensity and diameter.

© 2008 Optical Society of America

OCIS Codes
(300.6210) Spectroscopy : Spectroscopy, atomic
(300.6460) Spectroscopy : Spectroscopy, saturation

ToC Category:

Original Manuscript: November 16, 2007
Revised Manuscript: January 11, 2008
Manuscript Accepted: February 18, 2008
Published: April 10, 2008

Geol Moon and Heung-Ryoul Noh, "Analytic solutions for the saturated absorption spectra," J. Opt. Soc. Am. B 25, 701-711 (2008)

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  1. W. Demtröder, Laser Spectroscopy (Springer, 1998).
  2. M. D. Levenson and S. S. Kano, Introduction to Nonlinear Laser Spectroscopy (Academic, 1988).
  3. K. B. MacAdam, A. Steinbach, and C. E. Wieman, “A narrow-band tunable diode laser system with grating feedback, and a saturated absorption spectrometer for Cs and Rb,” Am. J. Phys. 60, 1098-1111 (1992). [CrossRef]
  4. P. G. Pappas, M. M. Burns, D. D. Hinshelwood, M. S. Feld, and D. E. Murnick, “Saturation spectroscopy with laser optical pumping in atomic barium,” Phys. Rev. A 21, 1955-1968 (1980). [CrossRef]
  5. H. Rinneberg, T. Huhle, E. Matthias, and A. Timmermann, “Influence of atomic alignment on crossover signals in saturation spectroscopy,” Z. Phys. A 295, 17-25 (1980). [CrossRef]
  6. R. Grimm and J. Mlynek, “The effect of resonant light pressure in saturation spectroscopy,” Appl. Phys. B 49, 179-189 (1989). [CrossRef]
  7. O. Schmidt, K. M. Knaak, R. Wynands, and D. Meschede, “Cesium saturation spectroscopy revisited: how to reverse peaks and observe narrow resonances,” Appl. Phys. B 59, 167-178 (1994). [CrossRef]
  8. H. Y. Jung, K. B. Im, C. H. Oh, S. H. Song, P. S. Kim, and H. S. Lee, “Dependence of the saturated absorption signals of the Cs D2 line on the external magnetic field,” J. Korean Phys. Soc. 33, 277-280 (1998).
  9. K. B. Im, H. Y. Jung, C. H. Oh, S. H. Song, P. S. Kim, and H. S. Lee, “Saturated absorption signals for the Cs D2 line,” Phys. Rev. A 63, 034501 (2001). [CrossRef]
  10. A. Banerjee and V. Natarajan, “Saturated-absorption spectroscopy: eliminating crossover resonances by use of copropagating beams,” Opt. Lett. 28, 1912-1914 (2003). [CrossRef] [PubMed]
  11. S. Nakayama, “Theoretical analysis of Rb and Cs D2 lines in Doppler-free spectrosopic techniques with optical pumping,” Jpn. J. Appl. Phys., Part 1 24, 1-7 (1985). [CrossRef]
  12. S. Nakayama, “Optical pumping effects in high resolution laser spectroscopy,” Phys. Scr. T70, 64-74 (1997). [CrossRef]
  13. L. P. Maguire, R. M. W. van Bijnen, E. Mese, and R. E. Scholten, “Theoretical calculation of saturated absorption spectra for multi-level atoms,” J. Phys. B 39, 2709-2720 (2006). [CrossRef]
  14. D. A. Smith and I. G. Hughes, “The role of hyperfine pumping in multilevel systems exhibiting saturated absorption,” Am. J. Phys. 72, 631-637 (2004). [CrossRef]
  15. M. L. Harris, C. S. Adams, S. L. Cornish, I. C. McLeod, E. Tarleton, and I. G. Hughes, “Polarization spectroscopy in rubidium and cesium,” Phys. Rev. A 73, 062509 (2006). [CrossRef]
  16. W. Gawlik, “Nonstationary effects in velocity-selective optical pumping,” Phys. Rev. A 34, 3760-3769 (1986). [CrossRef] [PubMed]
  17. R. Grimm and J. Mlynek, “Light-pressure-induced nonlinear dispersion in a Doppler-broadened medium: theory and experimental proposal,” J. Opt. Soc. Am. B 5, 1655-1660 (1988). [CrossRef]
  18. R. Grimm and J. Mlynek, “Light-pressure-induced line-shape asymmetry of the saturation dip in an atomic gas,” Phys. Rev. Lett. 63, 232-235 (1989). [CrossRef] [PubMed]
  19. C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions, Basic Processes and Applications (Wiley, 1992).
  20. P. Meystre and M. Sargent III, Elements of Quantum Optics (Springer, 2007). [CrossRef]
  21. A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton U. Press, 1960).
  22. G. Moon and H. R. Noh, “Observation of nonstationary effects in saturation spectroscopy,” Opt. Commun. 281, 294-298 (2008). [CrossRef]
  23. G. Moon and H. R. Noh, “Theoretical calculation of the saturated absorption spectrum for a multilevel atom,” J. Korean Phys. Soc. 50, 1037-1043 (2007). [CrossRef]
  24. J. Sagle, R. K. Namiotka, and J. Huennekens, “Measurement and modelling of intensity dependent absorption and transit relaxation on the cesium D1 line,” J. Phys. B 29, 2629-2643 (1996). [CrossRef]

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