Many spectroscopic applications of femtosecond laser pulses require properly-shaped spectral phase profiles. The optimal phase profile can be programmed on the pulse by adaptive pulse shaping. A promising optimization algorithm for such adaptive experiments is evolution strategy (ES). Here, we report a four fold increase in the rate of convergence and ten percent increase in the final yield of the optimization, compared to the direct parameterization approach, by using a new version of ES in combination with Legendre polynomials and frequency-resolved detection. Such a fast learning rate is of paramount importance in spectroscopy for reducing the artifacts of laser drift, optical degradation, and precipitation.
Jafarpour, A., Savolainen, J., de Jong, R., Middag, J., Sprünken, D. P., van der Walle, P., ... Herek, J. L. (2009). Robust orthogonal parameterization of evolution strategy for adaptive laser pulse shaping. Optics express, 17(14), 11986-12000. https://doi.org/10.1364/OE.17.011986