We discuss the transient effects associated with short-pulse propagation in a linearly dispersive medium by comparing optical precursors with
pulses. The classical and quantum effects were, in the past, treated independently due to the different time scales. Using results from recent studies [
Phys. Rev. Lett.
96, 143901 (2006)
] as well as the discussions by
Varoquaux et al. [Phys. Rev. B.
34, 7617 (1989)]
Bürck [Hyperfine Interact.
123, 483 (1999)]
, we show analytically that precursors and
pulses describe the same physical phenomenon. We also show that most published results of transient pulse propagation can be expressed using one overarching equation. Finally, we give a physical interpretation of the analogy between precursors and
pulses as a medium-impulse response using a Green’s function.
© 2008 Optical Society of America
(030.1670) Coherence and statistical optics : Coherent optical effects
(320.7120) Ultrafast optics : Ultrafast phenomena
(070.7345) Fourier optics and signal processing : Wave propagation
Original Manuscript: November 30, 2007
Revised Manuscript: January 31, 2008
Manuscript Accepted: February 1, 2008
Published: March 28, 2008
Heejeong Jeong and Ulf Österberg, "Coherent transients: optical precursors and 0π pulses," J. Opt. Soc. Am. B 25, B1-B5 (2008)