Higher Conservation Laws and Coherent Pulse Propagation
It has been shown that the equations customarily used to describe coherent optical pulse propagation, namely the coupled Maxwell and Bloch equations in the slowly varying envelope approximation, possess conservation laws in addition to the usual one associated with the conservation of energy. These higher conservation laws have been used to determine the amplitude of each of the 2π pulses into which a coherent pulse may decompose as it propagates through an absorbing medium.
KeywordsPulse Amplitude Riccati Equation Initial Pulse Bloch Equation Resonant Medium
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- 7.G.L. Lamb, Jr., M.O. Scully and F.A. Hopf, Appl. Opt. Nov. 1972.Google Scholar