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Optics and Spectroscopy

Nonlinear transmission of ultrashort laser pulses by a thin semiconductor film under conditions of a two-photon two-pulse excitation of biexcitons

D. A. Markov, P. I. Khadzhi, A. V. Corovai

Published Jan 1, 2008• 0 citations
Publisher

Abstract

Specific features of the nonstationary transmission of two pulses exciting biexcitons from the ground state in a thin semiconductor film are studied. It is shown that one of the incident rectangular pulses is totally reflected from the film, whereas the second pulse passes through it as through an absolutely transparent medium. Criteria for appearance of a stationary bistable transmission are determined.

DOI
10.1134/s0030400x08010141

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Specific features of the nonstationary transmission of two pulses exciting biexcitons from the ground state in a thin semiconductor film are studied. It is shown that one of the incident rectangular pulses is totally reflected from the film, whereas the second pulse passes through it as through an absolutely transparent medium. Criteria for appearance of a stationary bistable transmission are determined.
Abstract We have studied the nonstationary transmission of two ultrashort laser pulses incident on a thin film. The radiation frequency of one of these pulses is in resonance with the two-photon transition from the ground state of the crystal to the biexciton state, while the other pulse coherently mixes the exciton and biexciton states, leading to strong renormalization of the energy spectrum of the crystal. We have obtained a system of nonlinear equations describing the time evolution of the exciton and biexciton amplitudes and the fields of three pulses transmitted through the film. We have analyzed the effect of amplitudes and widths of incident pulsed and of the time delay between them on the peculiarities of film transmission of these pulses. We have predicted the effect of a substantial time delay in the generation of the pulse transmitted through the film relative to the incident pulse, which is in resonance with the exciton–biexciton transition frequency. The possibility of generation of a precursor, viz., a pulse transmitted through the film sooner than the peak of the incident pulse reaches the film, as well as possibility of generation of a reflected pulse in the absence of the incident pulse, has been proven.
A theoretical investigation is reported of the coherent nonlinear response of excitons and biexcitons in a thin semiconductor film subjected to resonant laser radiation. It is shown that saturation of an exciton transition results in an abrupt qualitative change in the nature of film transmission from total reflection of the incident pulse at low pump amplitudes to oscillatory reflection at high amplitudes. A new area theorem is derived for ultrashort pulses: it establishes a correspondence between the areas of the incident, transmitted, and reflected pulses. Anomalous transmission and reflection (area 'quantisation') is predicted for large values of the nonlinear parameter. The equations of state, describing bistable behaviour of the amplitudes of the fields of the transmitted and reflected radiation, are derived for quasi-cw operation.