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Journal of Modern Optics

Temporal evolution of the spectrum emitted by a two-level atom in the presence of a laser field

Emilio Fiordilino, Vincenzo Miceli

Published Apr 1, 1996• 8 citations
Publisher

Abstract

The temporal evolution of the spectrum emitted by a two level atom irradiated by a laser pulse is obtained by means of the Gabor transform of the acceleration of the electron. This transform is useful in revealing fine structures of the spectrum which are otherwise invisible.
DOI
10.1080/09500349608232780

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The acceleration of the electron in a two-level atom driven by a short laser pulse of intermediate strength is calculated and therefore analysed through two wavelet transforms in order to obtain the temporal evolution of the spectrum of the emitted radiation. We show (i) the full spectrum at different instants and (ii) the time profile of some representative harmonics. The growth of the harmonics as well as the appearance and erratic behaviour of the hyper-Raman can be followed with the laser intensity.
The spectrum of a two-level atom in the presence of a multimode laser pulse is calculated. The field is allowed to fluctuate in amplitude or in phase; the emitted spectrum has richer emission lines than in the case of the nonfluctuating field and shows peaks shifted toward the blue with respect to the traditional harmonic peaks. The position of the lines is predicted by the formula ω2n+1=(2n+1)(1+Δ)ωL with Δ being a parameter that can be found numerically. In this way the fluctuations seem to result in an effective increase of the laser frequency.