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Physical Review A

Lasing without inversion with frequency up-conversion in a Doppler-broadened V-type three-level system

V. Ahufinger, J. Mompart, R. Corbalán

Published Jul 1, 1999• 21 citations
Publisher

Abstract

We study lasing without inversion in a Doppler-broadened V-type three-level system in the frequency up-conversion regime. We show that the ratio $R\ensuremath{\equiv}{\ensuremath{\omega}}_{l}/{\ensuremath{\omega}}_{d}$ of generated laser frequency to driving laser frequency that can be achieved using a vapor cell is modest $(R<~2)$. Our analysis demonstrates that using an atomic beam the frequency of the generated field can be substantially larger than that of the driving field $R\ensuremath{\sim}10$. Two different configurations are considered: (a) copropagating driving and laser beams orthogonal to the atomic beam, and (b) counterpropagating driving and atomic beams and laser beam at a determined angle with the driving beam.

DOI
10.1103/physreva.60.614

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Chinese Optics Letters•Jan 10, 2004•0 citations
We study lasing without inversion in a Doppler-broadened V-type three-level system in the frequency up-conversion regime. We show that the ratio R\ensuremath≡\ensuremathωl/\ensuremathωdR\ensuremath{\equiv}{\ensuremath{\omega}}_{l}/{\ensuremath{\omega}}_{d}R\ensuremath≡\ensuremathωl​/\ensuremathωd​ of generated laser frequency to driving laser frequency that can be achieved using a vapor cell is modest (R< 2)(R<~2)(R< 2). Our analysis demonstrates that using an atomic beam the frequency of the generated field can be substantially larger than that of the driving field R\ensuremath∼10R\ensuremath{\sim}10R\ensuremath∼10. Two different configurations are considered: (a) copropagating driving and laser beams orthogonal to the atomic beam, and (b) counterpropagating driving and atomic beams and laser beam at a determined angle with the driving beam.
We study propagation effects on lasing without population inversion in a Doppler-broadened V -type three-level system. In particular, we focus our analysis on frequency up-conversion lasing without inversion in atomic rubidium. In an atomic beam configuration, we show that it is possible to increase notably the probe gain per single pass through the active medium by detuning driving and probe fields out of one-photon resonance but maintaining the two-photon resonance condition. In a vapour cell configuration, we show that due to propagation effects the probe gain per single pass depends strongly on the driving field intensity at the entrance of the active medium. In fact, for appropriate parameter values, it is possible to reach values of the probe gain per single pass of around 40%. For this last case, we have considered the feedback of a ring laser cavity.
We have studied an incoherently pumped laser operating with a Doppler-broadened three-level system placed in a doubly resonant cavity. This system generates two laser fields, one of them without population inversion. Both ladder and V-type three-level schemes are considered with a ratio $R={\ensuremath{\omega}}_{\ensuremath{\alpha}}/{\ensuremath{\omega}}_{\ensuremath{\beta}}$ of inversionless laser frequency ${\ensuremath{\omega}}_{\ensuremath{\alpha}}$ to ordinary laser frequency ${\ensuremath{\omega}}_{\ensuremath{\beta}}$ of R=0.67R=0.67R=0.67 and R=1.88,R=1.88,R=1.88, respectively. Dual-wavelength lasing extends up to Doppler-broadening values for optical transitions of atoms in a vapor cell. Some considerations for the practical realization of this dual-wavelength laser are discussed.
Summary form only given. We study a model for an incoherently pumped laser operating with a Doppler-broadened three-level system placed in a doubly resonant cavity and producing two laser fields, one of them without population inversion. Each laser field couples to only one of the transitions of the three-level medium. We have studied our model for parameters appropriate to two real atomic systems (i) a cascade scheme in atomic /sup 138/Ba looking for lasing with (without) inversion at /spl lambda//sub /spl beta//=554 nm (/spl lambda//sub /spl alpha//=821 nm), and (ii) a V-scheme in atomic /sup 85/Rb with ordinary lasing at /spl lambda//sub /spl alpha//=780 nm and lasing without inversion (LWI) at /spl lambda//sub /spl alpha//=4216 nm. These two cases are qualitatively different in that two-photon processes are responsible for inversionless gain in case (i) while LWI in case (ii) arises from one-photon processes. Moreover, the frequency up-conversion ratio is R=0.67 for the case of /sup 138/Ba and it is R=1.88 for the case of /sup 85/Rb. In spite of the fact that the frequencies of the two laser fields are relatively different, our results show that dual-wavelength lasing extends up to Doppler broadening values typical for optical transitions of atoms in a vapor cell. In case (i) /spl alpha/-lasing occurs without two-photon inversion only for approximately the lower half of the domain of Doppler-broadening values. However, in case (ii) one has LWI in all the domains. Some considerations for a practical realization of the dual-wavelength inversionless-conventional laser are discussed.
We analyze the general conditions and limitations for the realization of frequency up-conversion via lasing without inversion (LWI). Based on this analysis we propose a class of schemes in which LWI can be achieved via optical- or microwave-frequency driving on a weakly allowed transition. A noninversion amplification process based on this system is studied with particular emphasis on propagation effects and Doppler broadening. Amplification of both monochromatic and bichromatic fields is considered and a possible implementation in realistic atoms and ions is discussed.
Summary form only given. Electromagnetically induced transparency (EIT) and related phenomena such as lasing without inversion (LWI) are topics of increasing interest in quantum optics. In EIT, an otherwise absorbing medium is made transparent to a weak coherent field on resonance with a certain atomic transition by applying an intense coherent "driving" field to an adjacent transition. There has been a large number of theoretical papers and EIT was demonstrated experimentally. Up to now, most theoretical papers dealing with EIT in gas media have considered only the case of a traveling (TW) driving field. In contrast, we study EIT in Doppler broadened three-level media with standing wave (SW) driving and focus our analysis into the advantages of using a SW driving configuration instead of a TW one when the frequency of the probe field is larger than that of the driving field, i.e., the so-called frequency up-conversion regime.