Solitons in nonlinear optics. I. A more accurate description of the 2π pulse in self-induced transparency
J. Chris Eilbeck, John Gibbon, P. J. Caudrey +1 more
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 10 18 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.
Journal of Physics A Mathematical Nuclear and General•Sep 1, 1973•169 citations