In this work we theoretically confirm that the constant term of the measured signal of the Fringe-Resolved Autocorrelation technique using a two-photon absorption photodiode as sensor provides the same information as the intensity autocorrelation amplitude obtained from this technique. We achieve this result by computing the temporal intensity pulse distributions of focused femtosecond pulses around the focal region of an aberrated system and calculating both the intensity autocorrelation and the quadratic interferometric autocorrelation equation. Pulses with initial Full-Width Half-Maximum pulse widths of 50.0 and 20.0 [fs] were focused with a BK7 double convex lens.
Three numerical methods for the design of Kerr Lens Mode-Locking (KLML) ultrashort pulse cavities that use a solid state Brewster-cut nonlinear gain medium are compared. The nonlinear medium is modeled first deploying a matrix approximation that considers non-coupled (tangential analysis is independent of sagittal analysis) Kerr and thermal self-focusing; and second with a differential equation that relates the real and imaginary parts of the inverse of the complex Gaussian beam parameter. The third comparison is against a matrix analysis method that considers the coupling between the sagittal and tangential modes inside the nonlinear medium in order to determine the impact of this effect. The three methods search the self-consistency condition for the complex beam parameter and the results are compared.
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