Nonlinear Optical Pulse Propagation in the Single-Cycle Regime

Femtosecond Filamentation in Air

“…Their model associated with specific physical effects occuring in filamentation became rapidly a standard in the field. In the frequency domain corresponding to the retarded time t ≡ t lab − z/v g , this model reads [3,12,20,30,53,76,84]:…”

“…Brabec and Krausz [3] have derived an envelope equation modeling the propagation of laser pulses with durations of a few to many optical cycles in a nonlinear dispersive medium. It was called the nonlinear envelope equation and is obtained from a wave equation by assuming that the pulse envelope is slowly varying in the propagation direction z, but not necessarily in time.…”

“…They generally describe the deviations from the slowly varying envelope approximation in time [3,20,30]. …”

Wideband pulse propagation: Single-field and multifield approaches to Raman interactions

“…(15) is (with ∂ t ≡ d/dt) the lowest-order approximation to the GFEA few-cycle propagation corrections [8,9], which is equivalent to the SEWA (Slowly Evolving Wave Approximation) correction derived by Brabec and Krausz [11]. Although the full form is not included for reasons of brevity, it could easily be introduced if the extra accuracy was desired; indeed we routinely use it in our simulation codes.…”

Few-cycle solitons in supercontinuum generation dynamics

“…As the optical bandwidth increases, higher-order dispersion terms cannot be neglected. Thus, within the frame of the SVEA, the answer to shorter and higher-intensity pulse modeling implies an increasing number of terms added to the NLS equation, which is the so-called generalized NLS equation (GNLSE) approach [2]. The GNLSE implies numerical integration, and has indeed provided successful modeling of supercontinuum generation experiments in well-characterized optical media such as silica glass fibers [3].…”