Paper
7 March 2014 A brief analysis on pulse front tilt in simultaneous spatial and temporal focusing
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Abstract
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.
© (2014) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Site Zhang, Frank Wyrowski, Robert Kammel, and Stefan Nolte "A brief analysis on pulse front tilt in simultaneous spatial and temporal focusing", Proc. SPIE 8972, Frontiers in Ultrafast Optics: Biomedical, Scientific, and Industrial Applications XIV, 89721B (7 March 2014); https://doi.org/10.1117/12.2040042
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Cited by 3 scholarly publications.
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KEYWORDS
Pulmonary function tests

Fourier transforms

Wave propagation

Collimation

Diffraction gratings

Mathematical modeling

Distortion

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