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Journals >High Power Laser Science and Engineering >Volume 8 >Issue 1 >Page 010000e8 > Article

High Power Laser Science and Engineering
Vol. 8, Issue 1, 010000e8 (2020)

Laser-system model for enhanced operational performance and flexibility on OMEGA EP | On the Cover

M. J. Guardalben^*, M. Barczys, B. E. Kruschwitz, M. Spilatro..., L. J. Waxer and E. M. Hill|Show fewer author(s)

Author Affiliations

Laboratory for Laser Energetics, University of Rochester, Rochester, NY 14623-1299, USA

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DOI: 10.1017/hpl.2020.6 Cite this Article Set citation alerts

M. J. Guardalben, M. Barczys, B. E. Kruschwitz, M. Spilatro, L. J. Waxer, E. M. Hill, "Laser-system model for enhanced operational performance and flexibility on OMEGA EP," High Power Laser Sci. Eng. 8, 010000e8 (2020) Copy Citation Text

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Abstract

The development of laser performance models having real-time prediction capability for the OMEGA EP laser system has been essential in meeting requests from its user community for increasingly complex pulse shapes that span a wide range of energies. The laser operations model PSOPS provides rapid and accurate predictions of OMEGA EP laser-system performance in both forward and backward directions, a user-friendly interface and rapid optimization capability between shots. We describe the model’s features and show how PSOPS has allowed real-time optimization of the laser-system configuration in order to satisfy the demands of rapidly evolving experimental campaign needs. We also discuss several enhancements to laser-system performance accuracy and flexibility enabled by PSOPS.

Keywords

high-energy laser systems high-energy-density physics laser operations laser-system modeling pulse shaping

\begin{array}{rcl} \frac{\unicode [S T I X] x 1 D 6 F F n_{3}}{\unicode [S T I X] x 1 D 6 F F t} = W_{p} n_{0} + c \unicode [S T I X] x 1 D 719 \unicode [S T I X] {x 1 D 70 E}_{23} n_{2} - \frac{n_{3}}{\unicode [S T I X] {x 1 D 70 F}_{32}}, \end{array}

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\begin{array}{rcl} \frac{\unicode [S T I X] x 1 D 6 F F n_{2}}{\unicode [S T I X] x 1 D 6 F F t} = c \unicode [S T I X] x 1 D 719 \unicode [S T I X] {x 1 D 70 E}_{12} n_{1} - c \unicode [S T I X] x 1 D 719 (\unicode [S T I X] {x 1 D 70 E}_{21} + \unicode [S T I X] {x 1 D 70 E}_{23}) n_{2} - \frac{n_{2}}{\unicode [S T I X] {x 1 D 70 F}_{21}} + \frac{n_{3}}{\unicode [S T I X] {x 1 D 70 F}_{32}}, \end{array}

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\begin{array}{rcl} \frac{\unicode [S T I X] x 1 D 6 F F n_{1}}{\unicode [S T I X] x 1 D 6 F F t} = c \unicode [S T I X] x 1 D 719 \unicode [S T I X] {x 1 D 70 E}_{21} n_{2} - c \unicode [S T I X] x 1 D 719 \unicode [S T I X] {x 1 D 70 E}_{12} n_{1} + \frac{n_{2}}{\unicode [S T I X] {x 1 D 70 F}_{21}} - \frac{n_{1}}{\unicode [S T I X] {x 1 D 70 F}_{10}}, \end{array}

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\begin{array}{rcl} \frac{\unicode [S T I X] x 1 D 6 F F n_{0}}{\unicode [S T I X] x 1 D 6 F F t} = - W_{p} n_{0} + \frac{n_{1}}{\unicode [S T I X] {x 1 D 70 F}_{10}}, \end{array}

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\begin{array}{rcl} \frac{\unicode [S T I X] x 1 D 6 F F \unicode [S T I X] x 1 D 719}{\unicode [S T I X] x 1 D 6 F F t} + c \frac{\unicode [S T I X] x 1 D 6 F F \unicode [S T I X] x 1 D 719}{\unicode [S T I X] x 1 D 6 F F z} = c \unicode [S T I X] x 1 D 719 (\unicode [S T I X] {x 1 D 70 E}_{21} n_{2} - \unicode [S T I X] {x 1 D 70 E}_{12} n_{1} - \unicode [S T I X] {x 1 D 70 E}_{23} n_{2}), \end{array}

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\begin{array}{rcl} \frac{\unicode [S T I X] x 1 D 6 F F n_{2} (z, t)}{\unicode [S T I X] x 1 D 6 F F t} & = & - \frac{I (z, t)}{ℏ \unicode [S T I X] x 1 D 714} \unicode [S T I X] {x 1 D 70 E}_{21} n_{2} (z, t), \end{array}

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\begin{array}{rcl} \frac{\unicode [S T I X] x 1 D 6 F F I (z, t)}{\unicode [S T I X] x 1 D 6 F F z} & = & I (z, t) \unicode [S T I X] {x 1 D 70 E}_{21} n_{2} (z, t), \end{array}

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\begin{array}{r} G_{in} (t) = \frac{1}{1 - (1 - G_{0}^{- 1}) \exp [- F_{in} (t) / F_{sat}]} \end{array}

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\begin{array}{r} G_{out} (t) = 1 + (G_{0} - 1) \exp [- F_{out} (t) / F_{sat}], \end{array}

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\begin{array}{r} F_{sat} = \frac{ℏ \unicode [S T I X] x 1 D 714}{\unicode [S T I X] {x 1 D 70 E}_{21}}, \end{array}

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\begin{array}{rcl} F_{in} (t) \equiv \int_{t_{0}}^{t} I_{in} (t^{'}) d t^{'}, \end{array}

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\begin{array}{rcl} F_{out} (t) \equiv \int_{t_{0}}^{t} I_{out} (t^{'}) d t^{'} . \end{array}

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\begin{array}{r} I_{out} (t) = G_{in} (t) I_{in} (t), \end{array}

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\begin{array}{r} I_{in} (t) = I_{out} (t) / G_{out} (t) . \end{array}

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\begin{array}{r} I_{k} (t, x, y) = \unicode [S T I X] {x 1 D 6 F D}^{2} \cdot G_{k} (t, x, y) I_{k - 1} (t, x, y), \end{array}

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\begin{array}{rcl} G_{k} (t, x, y) \\ = \frac{1}{1 - {1 - [G_{0} (x, y)]^{- 1}} \exp [- F_{k} (t, x, y) / F_{sat}]}, \end{array}

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\begin{array}{rcl} F_{k} (t, x, y) = \int_{t_{0}}^{t} \unicode [S T I X] x 1 D 6 F D \cdot I_{k - 1} (t^{'}, x, y) d t^{'}, \end{array}

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\begin{array}{rcl} I_{k} (t, x, y) & = & I_{k + 1} (t, x, y) / \unicode [S T I X] {x 1 D 6 F D}^{2} \cdot G_{k} (t, x, y), \end{array}

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\begin{array}{rcl} G_{k} (t, x, y) & = & 1 + [G_{0} (x, y) - 1] \exp [- F_{k} (t, x, y) / F_{sat}], \end{array}

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\begin{array}{rcl} F_{k} (t, x, y) & = & \int_{t_{0}}^{t} [I_{k + 1} (t^{'}, x, y) / \unicode [S T I X] x 1 D 6 F D] d t^{'}, \end{array}

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\begin{array}{r} F_{sat}^{'} = \frac{ℏ \unicode [S T I X] x 1 D 714 / \unicode [S T I X] {x 1 D 70 E}_{em}}{\unicode [S T I X] x 1 D 6 F E (R)}, \end{array}

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\begin{array}{r} \unicode [S T I X] x 1 D 6 F E (R) = 1 + K \cdot B (R) \end{array}

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\begin{array}{r} G_{0} (x, y) = {\frac{[F_{out} (x, y) / F_{in} (x, y)]_{pumped}}{[F_{out} (x, y) / F_{in} (x, y)]_{unpumped}}}^{1 / N}, \end{array}

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\begin{array}{rcl} G_{k} (t, x, y) \\ = \frac{1}{1 - {1 - [\unicode [S T I X] x 1 D 6 F C \cdot G_{0} (x, y)]^{- 1}} \exp [- F_{k} (t, x, y) / F_{sat, k} (x, y)]}, \end{array}

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\begin{array}{r} F_{sat, k} (x, y) = \frac{m \int_{- \infty}^{\infty} \unicode [S T I X] x 1 D 6 F D \cdot I_{k - 1} (t, x, y) d t + b}{\unicode [S T I X] x 1 D 6 F E (R)}, \end{array}

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\begin{array}{rcl} G_{k} (t, x, y) & = & 1 + [\unicode [S T I X] x 1 D 6 F C \cdot G_{0} (x, y) - 1] \\ \times \exp [- F_{k} (t, x, y) / F_{sat, k} (x, y)], \end{array}

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\begin{array}{r} F_{sat, k} (x, y) = \frac{m \int_{- \infty}^{\infty} [I_{k + 1} (t, x, y) / \unicode [S T I X] x 1 D 6 F D] d t + b}{\unicode [S T I X] x 1 D 6 F E (R)} . \end{array}

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M. J. Guardalben, M. Barczys, B. E. Kruschwitz, M. Spilatro, L. J. Waxer, E. M. Hill, "Laser-system model for enhanced operational performance and flexibility on OMEGA EP," High Power Laser Sci. Eng. 8, 010000e8 (2020)

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