Optical resonance of a two-level atomic system

Munir H. Nayfeh, Ali H. Nayfeh

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The method of multiple scales is used to derive a solution of the damped optical Bloch equations of a two-level atomic system due to a strong pulsed field. The time dependence of the oscillations of the atomic inversion influenced by detuning and power broadening is found. The population inversion consists, in general, of three terms: a quasisteady term, quasisteady term that decays with time, and an oscillatory term that also decays with time. In the limit of constant fields, the solution of Torrey for damped systems and that of Rabi for undamped systems are recovered. For an adiabatic switching of the field, the solution for undamped systems reduces to that of Crisp in the adiabatic following limit. An equation describing the field envelope is derived for an arbitrary amount of detuning. At exact resonance, this equation reduces to a pendulum equation, in agreement with previous analyses.

Original languageEnglish (US)
Pages (from-to)2528-2531
Number of pages4
JournalJournal of Applied Physics
Issue number6
StatePublished - 1976
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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