The nonlinear behavior of a probe pulse propagating in a medium with electromagnetically induced transparency is studied both numerically and analytically. A new type of nonlinear wave equation is proposed in which the noninstantaneous response of nonlinear polarization is treated properly. The resulting nonlinear behavior of the propagating probe pulse is shown to be fundamentally different from that predicted by the simple nonlinear Schrödinger-like wave equation that considers only instantaneous Kerr nonlinearity.
© 2005 Optical Society of America
(020.1670) Atomic and molecular physics : Coherent optical effects
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(270.5530) Quantum optics : Pulse propagation and temporal solitons
Jing Cheng, Shensheng Han, and YiJing Yan, "Nonlinear propagation of ultraslow pulses in media with electromagnetically induced transparency," Opt. Lett. 30, 2638-2640 (2005)