Analytical Expressions of the Dark Resonance Parameters in a Vacuum Vapor Cell

Denis V. Brazhnikov, Gregoire Coget, Moustafa Abdel Hafiz, Vincent Maurice, Christophe Gorecki, Rodolphe Boudot

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


This article reports a dedicated theoretical and experimental study on the properties (signal amplitude, linewidth) of coherent population trapping (CPT) resonances detected in vacuum vapor cells. Results are presented for conventional singlelambda schemes of atomic energy levels but also for doublelambda schemes, now widely used in various applications including atomic clocks and magnetometers. Approximate compact analytical expressions, valid for a wide range of light wave intensities, i.e. beyond the low intensities or pump-probe regime, have been obtained. Analytical results are found to be in excellent agreement with exact numerical solutions based on the optical Bloch equations. Experimental results, obtained in a Cs vapor microfabricated cell, are reported and found to be in correct agreement with theoretical expressions.

Original languageEnglish
Pages (from-to)962-972
Number of pages11
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Issue number6
Publication statusPublished - 1 Jun 2018


  • Dark states
  • diodes lasers
  • lasers applications
  • spectroscopy
  • LINE

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