Pulse Front Tilt
Author: the photonics expert Dr. Rüdiger Paschotta (RP)
Definition: the phenomenon that the arrival time of an ultrashort pulse varies across the beam profile
Page views in 12 months: 931
DOI: 10.61835/r1x Cite the article: BibTex plain textHTML Link to this page! LinkedIn
Pulse front tilt is a phenomenon which is often encountered in ultrafast laser physics, particularly in the context of very broadband ultrashort pulses. Essentially it means that the arrival time of an ultrashort pulse varies across the beam profile (Figure 1). In other words, there is a tilt between the pulse front and a direction perpendicular to the beam. Note that the pulse front is defined through maxima of optical power, in contrast to phase fronts (connecting points with equal optical phase).
It can be shown [1] that a pulse front tilt is intimately related to angular dispersion, i.e., with a dependence of the wavefront orientation on the optical frequency. It is thus somewhat problematic to interpret pulse front tilt as an angle between the pulse front and the wavefront because the wavefront orientation is frequency-dependent. Note that pulse front tilt can also result from simultaneous spatial and temporal chirp [5].
Origins and Applications
Pulse front tilts can arise in various situations. For example, there is a strong pulse front tilt when a laser beam with ultrashort pulses is spatially dispersed by a prism or a diffraction grating. A linear pulse compressor based on a prism pair or a pair of diffraction gratings, when well aligned, should in principle not cause angular dispersion or pulse front tilt outside its setup, but for broadband pulses, slight misalignment can change that. Even for perfect alignment, slight beam divergence inside the device can cause a pulse front tilt. Note also that the use of slightly wedged optical components is common, and these also introduce angular dispersion.
For narrowband pulses, e.g. with pulse durations of multiple picoseconds, accidental pulse front tilt with a significant magnitude can hardly occur, but ultrabroadband sources e.g. for few-cycle laser pulses are rather sensitive to such effects.
In some cases, a deliberately created pulse front chirp can be useful, e.g. in nonlinear frequency conversion, including the generation of terahertz [3] or x-ray pulses.
Measurement of Pulse Front Tilt
Basic techniques for pulse characterization are generally not suitable for revealing and measuring pulse front tilts. Instead, one may obtain an apparent longer pulse duration, e.g. in measurements with autocorrelators.
There are, however, specially adapted autocorrelators for measuring pulse front tilt [2, 6], and advanced pulse characterization techniques like spectral interferometry and the GRENOUILLE technique can also be used [4].
More to Learn
Bibliography
| [1] | J. Hebling, “Derivation of the pulse front tilt caused by angular dispersion”, Opt. Quantum Electron. 28 (12), 1759 (1996); https://doi.org/10.1007/BF00698541 |
| [2] | Z. Sacks et al., “Adjusting pulse-front tilt and pulse duration by use of a single-shot autocorrelator”, Opt. Lett. 26 (7), 462 (2001); https://doi.org/10.1364/OL.26.000462 |
| [3] | J. Hebling, G. Almási, I. Z. Kozma and J. Kuhl, “Velocity matching by pulse front tilting for large-area THz-pulse generation”, Opt. Express 10 (21), 1161 (2002); https://doi.org/10.1364/OE.10.001161 |
| [4] | S. Akturk et al., “Measuring pulse-front tilt in ultrashort pulses using GRENOUILLE”, Opt. Express 11 (5), 491 (2003); https://doi.org/10.1364/OE.11.000491 |
| [5] | S. Akturk et al., “Pulse-front tilt caused by spatial and temporal chirp”, Opt. Express 12 (19), 4399 (2004); https://doi.org/10.1364/OPEX.12.004399 |
| [6] | G. Figueira, L. Cardoso, N. Lopes and J. Wemans, “Mirrorless single-shot tilted-pulse-front autocorrelator”, J. Opt. Soc. Am. B 22 (12), 2709 (2005); https://doi.org/10.1364/JOSAB.22.002709 |
| [7] | S. Akturk et al., “The general theory of first-order spatio-temporal distortions of Gaussian pulses and beams”, Opt. Express 13 (21), 8642 (2005); https://doi.org/10.1364/OPEX.13.008642 |
| [8] | Y. Kawada, T. Yasuda, H. Takahashi and S. Aoshima, “Real-time measurement of temporal waveforms of a terahertz pulse using a probe pulse with a tilted pulse front”, Opt. Lett. 33 (2), 180 (2008); https://doi.org/10.1364/OL.33.000180 |
| [9] | P. Bowland and R. Trebino, “Extreme pulse-front tilt from an etalon”, J. Opt. Soc. Am. B 27 (11), 2322 (2010); https://doi.org/10.1364/JOSAB.27.002322 |
| [10] | Y. Kawada et al., “Single-shot terahertz spectroscopy using pulse-front tilting of an ultra-short probe pulse”, Opt. Express 19 (12), 11228 (2011); https://doi.org/10.1364/OE.19.011228 |
| [11] | G. Figueira et al., “Pulse front tilt control using non-collimated beams in a single pass grating compressor”, Opt. Express 28 (5), 7678 (2020); https://doi.org/10.1364/OE.28.007678 |
| [12] | L. A. Hall, M. Yessenov and A. F. Abouraddy, “Space–time wave packets violate the universal relationship between angular dispersion and pulse-front tilt”, Opt. Lett. 46 (7), 1672 (2021); https://doi.org/10.1364/OL.420135 |
| [13] | E. C. Nelson et al., “Pulse front distortions in focused spatially chirped beams”, Optics Continuum 3 (7), 1051 (2024); https://doi.org/10.1364/OPTCON.526043 |
(Suggest additional literature!)
2022-02-25
Can pulse front tilt occur in a gaussian beam?
The author's answer:
Yes, why not.