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Influence of the slow nonlinear response, of the nonlinear dispersion of the group velocities, and of the dispersion of the coupling coefficient on pulse self-switching in tunnel-coupled optical waveguides

A. A. Maǐer, S. G. Karataev

Published Jan 31, 1996• 0 citations

Abstract

An investigation was made of the influence of the finite nonlinear response time, of the nonlinear dispersion of the group velocities, and of the dispersion of the coupling coefficient on self-switching of dome-shaped pulses in tunnel-coupled optical waveguides and other distributively coupled systems supporting unidirectional waves. Estimates are obtained of the maximum values of the parameters above which self-switching is perturbed. Relationships representing the influence of these parameters are determined graphically and partly interpreted. It is proposed to use the results in estimating the parameter of discrete optical transistors and logic devices pumped by a sequence of ultrashort pulses.

DOI: 10.1070/qe1996v026n01abeh000583

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The dynamics of a nonlinear resonant tapered coupler is analyzed by using coupled-mode equations. The constituent waveguides are made of a linear host material doped with resonant impurities. Such a system allows a mechanism for all-optical switching. It is shown that nonlinear exchange between coupled waveguides originates from the group-velocity dependence on the propagating pulse power and/or area. The transmitted signal is always a multiple of the self-induced-transparency fundamental soliton. The dynamics of the pulse tuned or detuned from the resonance and with the inclusion of the material relaxation terms is discussed. In the last section the problem of soliton collision in the coupling region is considered; in this case an initial interpulse phase difference may determine a power-dependent outport switching.

A general solution of the problem of the interaction between unidirectional distributively coupled waves with orthogonal polarisations is found an analysed. Interesting features of optical self-switching of these waves are identified and key formulas describing such switching are derived. It is shown that signal amplification as a result of self-switching may be extremely high and this can happen even when the coupling coefficient is zero. This case of zero coefficient is paradoxically of the greatest practical interest. The results obtained should be useful in working with birefringent waveguides and crystals.