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Chinese Science Bulletin

Inversionless amplification of a monochromatic field in a nonresonant three-level ∧ medium

龚尚庆, 徐至展

Published Jan 15, 1995• 1 citation
Publisher

Abstract

A three-level medium is the simplest and most suitable model for understanding the physical mechanisras of amplification without inversion (AWI). Various analyses were presented for all possible resonant three-level configurations. Recently, P. Mandel et al. have studied the AWI in three-level ∧ model for general nonresonant case and obtained the condition for establishing AWl. In our note the inversionless amplification of a monochromatic field in a nonresonant three-level ∧ medium will be investigated.

DOI
10.1360/sb1995-40-1-84

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A three-level medium is the simplest and most suitable model for understanding the physical mechanisras of amplification without inversion (AWI). Various analyses were presented for all possible resonant three-level configurations. Recently, P. Mandel et al. have studied the AWI in three-level ∧ model for general nonresonant case and obtained the condition for establishing AWl. In our note the inversionless amplification of a monochromatic field in a nonresonant three-level ∧ medium will be investigated.
We consider a three-level medium with low-frequency separation between the two upper levels. The medium interacts with an external field that induces a coherence between the two upper levels. We analyze the amplification condition for the probe monochromatic optical field in a general nonresonant case. We show that amplification without population inversion arises either at line center or at the sidebands, depending on the sign of the population difference between the upper sublevels. This amplification occurs in a limited range of the coherent pump intensity.
In a two-level medium, the condition for amplification is population inversion. The simplest scheme in which inversionless amplification occurs is a three-level medium. It was shown recently that a trichromatic field can be amplified by a three-level medium without population inversion if the low-frequency (LF) coherence exceeds some critical value.1 The question that we address here is how to generalize the two-level amplification condition when one or both levels are split into a number of sublevels.
Abstract The three‐level system subjected to electromagnetic fields is investigated. It is shown that when one of two fields is strong (the pumping field), the system can amplify the second (probe) field even if no population inversion is created, but some phase relations are satisfied. The conditions necessary for inversionless amplification to take place are discussed. The connection between this effect and stimulated Raman emission is shown. Numerical simulations for each one of the discussed cases were performed.