Details of FT-PS
An ultrashort pulse with a well-defined electrical field can be modified with an appropriate filter acting in the frequency domain. Mathematically, the pulse is Fourier transformed, filtered, and back-transformed to yield a new pulse:
It is possible to design an optical setup with an arbitrary filter function which can be complex-valued, as long as . Figure 1 shows how a bandwidth-limited pulse could be transformed into a chirped pulse (with a filter only acting on the phase) or into a more complex pulse (with the filter acting on both phase and amplitude).
Read more about this topic: Femtosecond Pulse Shaping
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