An integral representation for the linear transients of coupled propagating modes in a spatially dispersive medium is investigated. New exciton precursors are predicted as well as altered signal velocities. Numerical estimates are made for CdS and ZnSe.
We discuss the transient effects associated with short-pulse propagation in a linearly dispersive medium by comparing optical precursors with 0π 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)] and Bürck [Hyperfine Interact. 123, 483 (1999)], we show analytically that precursors and 0π 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 0π pulses as a medium-impulse response using a Green's function.
The appearance of optical precursors in the transient response of linear dielectric media is elucidated by combining temporal and spectral analysis. Numerical calculations show that it is feasible to detect experimentally the precursors in the transient responses of excitonic resonances to picosecond excitation. A novel experiment is proposed in which precursors are spatially separated from the main part of the signal in a thin-prism sample. Some features of the transients in reflection are analyzed.