Innovative single-shot 2D pulse front tilt diagnostic

M. Galimberti; F. G. Bisesto; M. Galletti

doi:10.1017/hpl.2020.56

Journals >High Power Laser Science and Engineering >Volume 9 >Issue 2 >Page 02000e16 > Article

High Power Laser Science and Engineering
Vol. 9, Issue 2, 02000e16 (2021)

Innovative single-shot 2D pulse front tilt diagnostic

M. Galimberti^1、*, F. G. Bisesto², and M. Galletti²

Author Affiliations

¹Central Laser Facility, Science and Technology Facilities Council, Rutherford Appleton Laboratory, Didcot, UK

²INFN Laboratori Nazionali di Frascati, Frascati, Italy

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DOI: 10.1017/hpl.2020.56 Cite this Article Set citation alerts

M. Galimberti, F. G. Bisesto, M. Galletti. Innovative single-shot 2D pulse front tilt diagnostic[J]. High Power Laser Science and Engineering, 2021, 9(2): 02000e16 Copy Citation Text

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Abstract

The presence of pulse front tilt (PFT), caused by angular dispersion (AD) in femtosecond laser pulses, could degrade the performance of the laser system and/or impact the experimental yields. We present a single-shot diagnostic capable of measuring the AD in the x–y plane by adopting an intensity mask. It can be applied to stretched pulses, making it ideal for diagnosing the AD along the amplification chain of a high-power laser system, and to ultrashort pulses exiting from an optical compressor. In this way, it can help in properly characterizing a laser pulse before it is delivered to the target area. In this Letter, we present experimental evidence of AD retrieval for different compression configurations, supported by theoretical analysis.

Keywords

femtosecond pulses high-power laser laser diagnostics pulse front tilt

\begin{align*}I\left({r},\lambda \right)\propto {\left|E\left({r},\lambda \right)\right|}^2\propto I\left({r}\right),\end{align*}

(1)

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\begin{align}S\left({r},\lambda \right)=\frac{1}{\lambda^2{f}^2}{\left|\int E\left(\rho, \lambda \right)\kern0.1em \exp \left(-i\kern0.1em \frac{2\pi }{\lambda f}{r}\cdot \rho \right)\mathrm{d}\rho \right|}^2,\end{align}

((1))

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\begin{align}E\left(\rho, \lambda \right)=\mathrm{\mathcal{M}}\left(\rho \right){E}_0\left(\rho, \lambda \right)\kern0.1em \exp \left[+i\kern0.1em \frac{2\pi }{\lambda}\overline{\alpha}\left(\lambda \right)\cdot \rho \right],\end{align}

((2))

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\begin{align}S\left({r},\lambda \right)=\sum\limits_n{\mathcal{G}}_{{n}}\kern0.1em {S}_0\kern0em \left[{r}-f\overline{\alpha}\left(\lambda \right)-\frac{\lambda f}{d}{n},\lambda \right],\end{align}

((3))

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\begin{align}{S}_0\left({r},\lambda \right)={I}_0\exp \left[-\frac{1}{2}\frac{{\left|{r}\right|}^2}{\sigma^2}-\frac{1}{2}{\left(\frac{\lambda -{\lambda}_0}{\varDelta}\right)}^2\right].\end{align}

((4))

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\begin{align}{I}_x^{\pm}\left(x,y\right)\propto \exp \left\{-\frac{1}{2}\left\{{\left(\frac{x-{x}_{\pm }}{\varOmega_x^{\pm }}\right)}^2+{\left[\frac{y-{A}_x^{\pm}\left(x-{x}_{\pm}\right)}{\sigma}\right]}^2\right\}\right\},\end{align}

((5))

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\begin{align}{\varOmega}_x^{\pm }=\frac{f\varDelta}{d}\sqrt{\varGamma \pm 2d{\alpha}_x},\enspace {A}_x^{\pm }&=\pm {\left(\varGamma \pm 2d{\alpha}_x\right)}^{-1}d{\alpha}_y,\notag\\{}{x}_{\pm }=\pm \frac{f{\lambda}_0}{d},\enspace \varGamma &=1+{\left(\frac{d\sigma}{\varDelta f}\right)}^2.\end{align}

((6))

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\begin{align}{\alpha}_x-\left({A}_y^{+}+{A}_y^{-}\right)\kern0.1em {\alpha}_y& = \frac{\varGamma }{2d}\left({A}_y^{+}-{A}_y^{-}\right),\notag\\{}{\alpha}_y-\left({A}_x^{+}+{A}_x^{-}\right)\kern0.1em {\alpha}_x& = \frac{\varGamma }{2d}\left({A}_x^{+}-{A}_x^{-}\right),\end{align}

((7))

M. Galimberti, F. G. Bisesto, M. Galletti. Innovative single-shot 2D pulse front tilt diagnostic[J]. High Power Laser Science and Engineering, 2021, 9(2): 02000e16

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