Amplification of extremely short pulses in optical media |
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Authors: | A. A. Zabolotskii |
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Affiliation: | (1) Institute of Automatics and Electrometry, Siberian Division, Russian Academy of Sciences, Universitetskii pr. 1, Novosibirsk, 630090, Russia |
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Abstract: | The dynamics of pulses with durations comparable to the inverse transition frequency that propagate in an optical medium is studied in terms of two integrable systems of Maxwell-Bloch equations. The first model describes the field interaction with a nondegenerate medium with a permanent dipole moment and permanent external pumping. A general formula is derived for the N-soliton solution. Particular solutions are used as examples to investigate the effect of permanent dipole moment and pumping on the soliton dynamics. The second model describes the interaction between two-component electric-field pulses and a two-level degenerate medium with permanent upper-level pumping. For different initial magnetic-sublevel populations, soliton solutions are used as examples to show that pumping causes a change in polarization dynamics. A two-soliton solution is used to analyze the interaction of solitons in a two-level medium with external pumping. |
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