Optical resonance of a two-level atomic system | Zendy

Munir H. Nayfeh | Zendy; Ali H. Nayfeh | Zendy

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Optical resonance of a two-level atomic system

Author(s) -

Munir H. Nayfeh,

Ali H. Nayfeh

Publication year - 1976

Publication title -

journal of applied physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.699

H-Index - 319

eISSN - 1089-7550

pISSN - 0021-8979

DOI - 10.1063/1.322969

Subject(s) - adiabatic process , physics , bloch equations , rabi frequency , envelope (radar) , resonance (particle physics) , limit (mathematics) , adiabatic theorem , population , quantum electrodynamics , population inversion , term (time) , field (mathematics) , rabi cycle , quantum mechanics , classical mechanics , mathematical analysis , mathematics , computer science , pure mathematics , telecommunications , laser , radar , demography , sociology , quantum

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.

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