Abstract
An approximate solution to the complete semiclassical Maxwell-Bloch equations for the sharp-line case has been found making use of the coupling constant as a small parameter. This approach confirms results obtained through the reduced Maxwell-Bloch equations. The solution describes coherent propagation of an optical pulse more generally than the theory using the slowly varying envelope approximation (SVEA) and the rotating-wave approximation (RWA). Conditions for resonant propagation, taking into account the Bloch-Siegert shift, have been found and discussed in detail.
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