“…This is possible when the radiation in a non-linear medium is apriori unidirectional, and the dynamics of its field is described by the equation truncated to the first (not second) derivative with respect to the longitudinal coordinate. The possibility of solving the problem of reflection without defining the refracted field in a non-linear medium was apparently pointed out for the first time in [162].…”
Section: I12 Non-linear Reflection Of Femtosecond Optical Pulsesmentioning
“…This is possible when the radiation in a non-linear medium is apriori unidirectional, and the dynamics of its field is described by the equation truncated to the first (not second) derivative with respect to the longitudinal coordinate. The possibility of solving the problem of reflection without defining the refracted field in a non-linear medium was apparently pointed out for the first time in [162].…”
Section: I12 Non-linear Reflection Of Femtosecond Optical Pulsesmentioning
“…It is the relation between these derivatives (for the incident, reflected, and refracted waves) that appears in the boundary conditions (3b). It seems to be the paper [18] in which the authors pointed out for the first time the possibility of solving the reflection problem without determining the refracted wave in the nonlinear medium.…”
Section: Spatio-temporal Spectrum Of Reflected Radiationmentioning
The spatio-temporal spectrum of optical radiation reflected from a nonlinear dielectric medium with nonresonant dispersion is obtained as a function of the parameters of the spatio-temporal spectrum of a paraxial light beam incident on the boundary of the medium at small angles. Nonlinear reflection of various types of femtosecond spectral supercontinua from the interface between air and fused silica is simulated. It is shown that the time duration and the transverse dimensions of a beam of multiple-frequency radiation generated during the reflection of a superposition of high-intensity fields of two few-cycle pulses with different central wavelengths may be smaller than those of incident ultrashort pulses.
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