A brief analysis on pulse front tilt in simultaneous spatial and temporal focusing
2014
The spatial and temporal behavior of ultrashort pulses has drawn more and more attention. Especially in laser
material processing, such spatio-temporal behavior has significant influences. In this paper we present a brief
analysis on the pulse front tilt (PFT) in simultaneous spatial and temporal focusing (SSTF) mathematically and
in simulations. We apply paraxial field tracing based on the Collins integral for modeling the spatio-temporal
focusing process. Using the shift theorem of the Fourier transformation, we present an explanation of the PFT
in focus for general input pulses. Next, by assuming a Gaussian lateral pulse shape, an analytical solution for
the field distribution at any position in the region is obtained. In this work we take the influence of an initial
PFT before focusing into considerations as well and find potential way to control the PFT during the focusing
process. Finally with the optical modeling software VirtualLab TM we present rigorous simulations of the SSTF
to verify our mathematical conclusions.
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