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Soviet Journal of Quantum Electronics

Harmonic generation in coherent two-photon interaction between high-power optical pulses and resonant media

I A Poluéktov, A. Nazarkin

Published Feb 28, 1981• 4 citations
Publisher

Abstract

A theoretical investigation is made of collinear propagation of high-power optical pulses through a medium under conditions of two-photon resonance ω 0 ± ω s ≈ ω 21 ( ω 0 and ω s are the pulse frequencies, ω 21 is the frequency of an atomic transition in the medium). It is assumed that the condition for coherent interaction τ 0 , τ s < T 2 is satisfied ( τ 0 and τ s are the pulse durations at the entrance, T 2 is the phase relaxation time of the medium). By means of numerical integration of equations for the fields and the medium, it is shown that efficient generation of the harmonics ω 1 = 2 ω 0 ± ω s , ω 2 = 2 ω s ± ω 0 is possible under short and ultrashort pulse conditions.

DOI
10.1070/qe1981v011n02abeh005458

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A theoretical investigation is made of collinear propagation of high-power optical pulses through a medium under conditions of two-photon resonance ω 0 ± ω s ≈ ω 21 ( ω 0 and ω s are the pulse frequencies, ω 21 is the frequency of an atomic transition in the medium). It is assumed that the condition for coherent interaction τ 0 , τ s < T 2 is satisfied ( τ 0 and τ s are the pulse durations at the entrance, T 2 is the phase relaxation time of the medium). By means of numerical integration of equations for the fields and the medium, it is shown that efficient generation of the harmonics ω 1 = 2 ω 0 ± ω s , ω 2 = 2 ω s ± ω 0 is possible under short and ultrashort pulse conditions.
A numerical investigation is made of third harmonic generation (THG) under conditions of two-photon resonance between the fundamental frequency and a selected transition in the atoms of a medium. It is shown that under conditions of coherent interaction between the pump pulse and the medium, a THG efficiency of ∼20% or higher may be achieved. In this case, THG in the form of high-power ultrashort pulses may be obtained. It is shown that experimental observation of similar effects in specific media should not present particular difficulties.
An analysis is made of the evolution of high-power laser pulses in the case of coherent two-photon interaction with resonant media. It is shown that pulses of frequencies ω 0 and ω s satisfying the equalit ω 0 ±ω 0 =ω 21 (ω 21 is the resonance frequency of the medium) experience splitting into separate subpulses followed by a reduction in their duration and increase in their power. The efficiency of this process depends on the initial ratio of the amplitudes E 0 and E s . It is shown that such effects can be observed in paramagnetic acoustic resonance.
A numerical analysis is made of the frequency dependence of the evolution of the envelopes and energy loss of short optical pulses propagating under two-photon resonance conditions. It is established that for pulses with an initial energy situated in the range 2 π ( m +1)> θ o >2 π m , there are m intervals of resonance-frequency detunings within which the pulse evolution differs qualitatively. It is shown that a quasimultistage frequency dependence of the energy loss for a fixed length of medium may serve as a test for the coherence of the resonant interaction.
The propagation of two ultrashort radiation pulses interacting via an intermediate level is analyzed by numerical integration of a system of equations describing coherent interaction between radiation and a three-level medium. It is shown that the propagation of the pulses depends strongly on their areas on entry to the medium and on the relationship between the dipole moments of transitions between neighboring levels. Substantial temporal narrowing was established for fairly high-power pulses (4π and 6π pulses) and this may be utilized to control their durations. Investigations are also made of the influence of relaxation processes, delay of pulses relative to one another on entry to the medium, and nonresonant dispersion during pulse propagation under the specified conditions.