Virginia TechNayfeh, Munir H.Nayfeh, Ali H.2014-04-252014-04-251978-09-01Nayfeh, M. H.; Nayfeh, A. H., "effect of relaxation on self-induced transparency," Phys. Rev. A 18, 1124 (1978); DOI: http://dx.doi.org/10.1103/PhysRevA.18.11241050-2947http://hdl.handle.net/10919/47692We derive an equation of motion of the Bloch-vector tipping angle and the area theorem in the presence of relaxation. We derive relaxation-dependent shifts in the equilibrium nπ areas. Part of these shifts depends on a weighted time integral of the sine of the area, and hence these shifts remove the propagation degeneracy of pulses having equal areas but different shapes.application/pdfen-USIn CopyrightArticle - Refereedhttp://journals.aps.org/pra/abstract/10.1103/PhysRevA.18.1124https://doi.org/10.1103/PhysRevA.18.1124