Solitons in nonlinear optics. I. A more accurate description of the 2π pulse in self-induced transparency
- 1 September 1973
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical, Nuclear and General
- Vol. 6 (9), 1337-1347
- https://doi.org/10.1088/0305-4470/6/9/009
Abstract
A more accurate description of the 2 pi pulse of self-induced transparency is obtained. This is an exact solution of an approximate form of the Maxwell-Bloch equations in which only backscattering is neglected; the equations are valid at densities less than about 1018 atoms cm-3. At such densities the 2 pi sech pulse of McCall and Hahn (1967, 1969) remains a good approximate well into the picosecond range. The more accurate solution is chirped by a factor proportional to the square of the ratio of the spectral width of the pulse to its carrier wave frequency. The stability of this pulse solution and other N soliton solutions of the approximate Maxwell-Bloch equations is demonstrated.Keywords
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