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Soviet Journal of Quantum Electronics

Coherent two-photon interaction of laser radiation with Frenkel excitons

É Gaĭzhauskas, I A Poluéktov, Yurii M Popov

Published Jul 31, 1977• 0 citations
Publisher

Abstract

It is shown theoretically that self-induced transparency may occur during propagation of a laser radiation pulse in the case of two-photon interaction with small-radius excitons. An experimental method for the observation of this effect is suggested.
DOI
10.1070/qe1977v007n07abeh012702

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The present paper has the dual purposes. As the first purpose, it is demonstrated that the boson description of Wannier excitons introduced in the preceding paper is suitable also to discussion of non-linear coherent interaction of Wannier excitons with the radiation field. The second purpose is to discuss the possibility of self-induced transparency due to Wannier excitons on the basis of the boson description by making clear the difference between a two-level atomic system and a system of excitons which can propagate in a crystal as polariton. As a result, stable pulse propagation of the radiation field is shown to be prevented by the polariton effect of excitons.
Polariton effect quenches not only the possibility of Bose-Condensation but also of the self-induced transparency of single direct excitons . Here, as to bi-excitons which are not suffered from this negative effect due to polariton, we propose the direct and coherent excitation of Bose-condensed bi-excitons by giant two-photon absorption due to bi-excitons. Then we discuss the possibility of superradiance of Bose-condensed bi-excitons created by this method and the possibility of self-induced transparency associated with giant two-photon transition due to these bi-excitons.
For pt.I see ibid., vol.8, no.3, 339 (1975). The transient behaviour of two short optical pulses in two-photon coherent propagation is obtained by calculating numerically the coherent propagation equations which couple the two electromagnetic pulses and the atomic system in self-consistent fashion. The coherent interaction of the two different frequency pulses gives rise to lossless propagation in the absorptive medium. This description is characterized by a two-photon area theorem. Novel coherent propagation effects of peak amplification and multiple pulse breakup are found. These effects are ascribed to two-photon self-induced transparency analogous to that of a one-photon transition in a two-level system. A difference of input intensity between the two different frequency pulses yields curious modulation effects involving sharp peak amplification and marked pulse breakup for the low-intensity input. In contrast, the high-intensity input pulse displays a smooth variation with distance and time. Low-loss pulse transmission above threshold, and pulse advance and delay are found for the present case in contrast to that for one-photon self-induced transparency.
A review is given of the current status of the self-induced transparency effect. The McCall–Hahn theory (2π pulses) is considered and its generalization to the case of phase modulation of radiation pulses, degeneracy of transitions, and two-photon resonance is discussed. The relationship with the theory of nonlinear waves, obeying the Korteweg–de Vries equation, is pointed out. The possibility of similar coherent effects in direct interband transitions in semiconductors is discussed. A summary is given of the experimental results demonstrating a strong fall in the absorption and a considerable slowing down of light pulses, typical of the self-induced transparency. Possible physical applications of the effect, based on these properties, are discussed.