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A brief analysis on pulse front tilt in simultaneous spatial and temporal focusing

: Zhang, S.


Heisterkamp, A. ; Society of Photo-Optical Instrumentation Engineers -SPIE-, Bellingham/Wash.:
Frontiers in Ultrafast Optics. Biomedical, Scientific, and Industrial Applications XIV : February 2014, San Francisco, California, United States
Bellingham, WA: SPIE, 2014 (SPIE Proceedings 8972)
ISBN: 978-0-8194-9885-4
Paper 89721B, 16 S.
Conference "Frontiers in Ultrafast Optics - Biomedical, Scientific, and Industrial Applications" <14, 2014, San Francisco/Calif.>
Fraunhofer IOF ()
focusing; fourier transforms; Industrial Applications; pulse shaping; collins integral; field distribution; fourier transformations; optical modeling; pulse-front tilt; rigorous simulation; temporal focusing; theoretical calculations

In this paper we analyze the pulse front tilt (PFT) in simultaneous spatial and temporal focusing 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 can explain 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. Compared with previous works, we take the influence of an initial PFT into considerations as well. The theoretical calculation is valid for incoming pulses with temporally chirp and/or initial PFT. Finally with the optical modeling software VirtualLab™ we presented rigorous simulations of the SSTF to verify our mathematical conclusions.