Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms
Ultra-short pulse reconstruction software in high power laser system
Introduction
The characterization of the ultra-short high power laser pulses has always been a challenge [1].
It requires using the same pulse to measure itself, because it does not exist a shorter event (do not exist an event shorter) to compare to. Moreover, there are many other difficulties to take into account, concerning the pulse itself (no-linear effects, distortion, etc.) and the complexity of the set-up required to perform the measurements. One of the most promising techniques is GRENOUILLE [2], whose set-up is much simpler than popular techniques like FROG [3], SPIDER [4] and others. Moreover, GRENOUILLE is considerably more sensitive, extremely easy to set-up and to align. GRENOUILLE is based on a previous technique, FROG, with respect to which the experimental configuration provides simple changes: the simplification of the splitting and the recombination of the pulse to be analyzed, obtained by replacing the beam-splitter, the delay line and the optical recombination of the two copies of the initial impulse with a Fresnel bi-prism; the measurement, obtained by replacing the thin crystal for the generation of the laser second harmonic (SHG) and the related spectrometer with a thick crystal. This choice also offers the advantage of having a second harmonic signal more intense because it depends on the thickness of the crystal frequency doubler.
The laser beam, impinging into the Fresnel bi-prism, is split and recombined at the same time to a certain angle θ relative to the other copy pulse. Thus exploiting the transverse spatial extension of the crystal, one gets a time delay between the two pulses at different points in the crystal. The thick crystal acts also as a spectrometer, as due to the small bandwidth of the phase-matching it generates a radiation whose wavelength varies with the angle of incidence along the vertical axis. Then a cylindrical lens makes an image of the crystal on the horizontal axis (time) and focuses the signal in the vertical axis (spectral). The output image is acquired by a CCD camera. It provides a trace that yields the pulse intensity FWHM and phase, a spectrogram, that involves temporal and frequency resolution simultaneously. In the paper we present the development of the analysis software for the data acquired by a GRENOUILLE set-up. This innovative laser-pulse diagnostics is based on the acquisition of an experimental image, which is cleaned up (subtraction of the background) and calibrated before being used in the program, so it can be compared to the calculated analytic image. Starting from an arbitrary pulse, we create a simulated image, immediately after compared to the experimental one. By using a suitable algorithm that changes at each step the arbitrary pulse, we minimize the distance between the two images, finally obtaining the laser pulse shape of the investigated laser pulse. The software has been tested on experimental images acquired in the laser Vulcan front-end (low-power) at the Central Laser Facility (RAL). Afterward the same measurements have been performed in the Target Area Petawatt (TAP), with the laser Vulcan at full power.
Section snippets
Reconstruction software of the ultra-short pulse
The image analysis and pulse reconstruction program is made up of two main parts. In the first, the experimental image acquired by the GRENOUILLE set-up is compared with an analytical image, calculated using the following expression:where E(t) is the electric field of an “arbitrary” laser pulse, whose shape is similar to the experimental one. The comparison is carried out by determining the “distance” () between the images, which consists of the sum of
Experimental set-up and data acquisition
A single pulse auto-correlator was set up. It was used as a reference tool respect to GRENOUILLE for the measurements of ultra-short laser pulses parameters of the Vulcan laser system. After the calibration of the auto-correlator and the GRENOUILLE apparatus, the measurements were made in TAP. The Vulcan laser is equipped with a Front-End, operating at 2 Hz, giving about 8 mJ pulses, that reduces at the end of the amplifier chain (not activated) to a few 10 μJ. For this reason the measurements in
Data processing
The auto-correlation image analysis is relatively simple, in order to get the only information available concerning the duration of the pulse, we have to do simply the horizontal lineout of the image so obtaining, after time scale calibration, the FWHM of the laser pulse (Fig. 4).
On the other hand, the image provided by GRENOUILLE required much more complex processing, being analyzed by the above mentioned reconstruction software. The analysis carried out allows to obtain the intensity versus
Conclusions and perspectives
From the analysis of these experimental GRENOUILLE measures it was verified that the software program is reliable and it is able to reconstruct the ultra-short pulse in a very accurate way.
Analyzing the results of the AC, through a simple estimate of the FWHM of the horizontal lineout experimental image and those of GRENOUILLE, through the reconstruction of the pulse (thanks to the developed software) and the subsequent estimation of the FWHM of the function obtained I(t), we note the obtained
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Cited by (4)
An ultra short pulse reconstruction software applied to the GEMINI high power laser system
2016, Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated EquipmentCitation Excerpt :As predicted by the theory the temporal and spectral phase have opposite trend about the maximum value of the intensity and spectrum, respectively. From the analysis of the experimental GRENOUILLE traces [10,13] it was verified that the software program is reliable and it is able to completely reconstruct the ultra short pulse in a fast and accurate way. Analysing the results of the Video Frog and those of GROG, relative to the estimation of the intensity and the phase, we note the obtained lengths in both domains are comparable so as validating the accuracy of the characterization of ultra short high power pulses by the software developed.
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