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Journals >High Power Laser Science and Engineering >Volume 12 >Issue 3 >Page 03000e36 > Article

High Power Laser Science and Engineering
Vol. 12, Issue 3, 03000e36 (2024)

New grating compressor designs for XCELS and SEL-100 PW projects

Efim Khazanov^*

Author Affiliations

Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, Niznij Novgorod, Russia

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DOI: 10.1017/hpl.2024.18 Cite this Article Set citation alerts

Efim Khazanov, "New grating compressor designs for XCELS and SEL-100 PW projects," High Power Laser Sci. Eng. 12, 03000e36 (2024) Copy Citation Text

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Abstract

The problem of optimizing the parameters of a laser pulse compressor consisting of four identical diffraction gratings is solved analytically. The goal of optimization is to obtain maximum pulse power, completely excluding both beam clipping on gratings and the appearance of spurious diffraction orders. The analysis is carried out in a general form for an out-of-plane compressor. Two particular ‘plane’ cases attractive from a practical point of view are analyzed in more detail: a standard Treacy compressor (TC) and a compressor with an angle of incidence equal to the Littrow angle (LC). It is shown that in both cases the LC is superior to the TC. Specifically, for 160-cm diffraction gratings, optimal LC design enables 107 PW for XCELS and 111 PW for SEL-100 PW, while optimal TC design enables 86 PW for both projects.

Keywords

Littrow angle compressor multi-petawatt lasers Treacy compressor

\begin{array}{r} W = {R η w}_{th} d^{2} . \end{array}

((1))

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\begin{array}{r} Ψ (ω, k_{x}, k_{y}) = L k_{z x} (\cos θ + \cos (α + atan \frac{k_{x}}{k_{z}})), \end{array}

((2))

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\begin{array}{r} \sin θ (ω, k_{x}, k_{y}) = - \frac{2 π}{k_{z x}} N + \sin (α + atan \frac{k_{x}}{k_{z}}) . \end{array}

((3))

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\begin{array}{r} Ψ_{k_{x}}^{'} (ω, k_{x} = 0, k_{y} = \frac{ω}{c} \sin γ) = - X (ω) = - L \frac{\sin (β + α)}{\cos β}, \end{array}

((4))

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\begin{array}{r} Ψ_{k_{y}}^{'} (ω, k_{x} = 0, k_{y} = \frac{ω}{c} \sin γ) = - Y (ω) = - L \tan γ \frac{1 + \cos (β + α)}{\cos β}, \end{array}

((5))

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\begin{aligned} \frac{1}{2} Ψ_{ω ω}^{''} (ω = ω_{0}, k_{x} = 0, k_{y} = \frac{ω}{c} \sin γ) = GVD \\ = - \frac{L}{ω_{0} c} \cos γ \frac{{(\sin α - \sin β_{0})}^{2}}{2 \cos^{3} β_{0}}, \end{aligned}

((6))

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\begin{array}{r} \sin β = - \frac{2 π c}{ω} \frac{N}{\cos γ} + \sin α, \end{array}

((7))

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\begin{array}{r} L_{g} = \frac{d + ∣ X_{b} - X_{r} ∣ \cos γ}{\cos α}, \end{array}

((8))

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\begin{array}{r} H_{g} = \frac{d + | Y_{b} - Y_{r} | \cos γ}{\cos γ} + (d - | X_{b} - X_{r} |) \tan γ \tan α, \end{array}

((9))

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\begin{array}{r} L_{g} = \frac{d}{\cos α} + L_{disp} \frac{1}{\cos γ} \frac{2 \cos^{3} β_{0}}{{(\sin α - \sin β_{0})}^{2}} | atan β_{b} - atan β_{r} |, \end{array}

((10))

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\begin{aligned} H_{g} & = d (\frac{1 + \tan α \sin γ}{\cos γ}) + L_{disp} \frac{2 \cos^{3} β_{0} | \tan γ |}{{(\sin α - \sin β_{0})}^{2}} \\ \times (\frac{1}{\cos γ} | \frac{1 + \cos (β_{b} + α)}{\cos β_{b}} - \frac{1 + \cos (β_{r} + α)}{\cos β_{r}} | \\ - \sin α | atan β_{b} - atan β_{r} |), \end{aligned}

((11))

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\begin{array}{r} d < d_{g} = (L_{g} - L_{disp} \frac{1}{\cos γ} \frac{2 \cos^{3} β_{0}}{{(\sin α - \sin β_{0})}^{2}} | \tan β_{b} - \tan β_{r} |) \cos α . \end{array}

((12))

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\begin{array}{r} ∣ X_{\min} ∣> d + g . \end{array}

((13))

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\begin{array}{r} d < d_{i} = J L_{disp} - g for the TC, \end{array}

((14))

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\begin{array}{r} J = {\begin{array}{cc} \frac{\sin (β_{r} + α)}{\cos β_{r}} \frac{2 \cos^{3} β_{0}}{{(\sin α - \sin β_{0})}^{2}} & for α > α_{L} \\ \frac{∣ \sin (β_{b} + α) ∣}{\cos β_{b}} \frac{2 \cos^{3} β_{0}}{{(\sin α - \sin β_{0})}^{2}} & for α < α_{L} \end{array} . \end{array}

((15))

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\begin{array}{r} d < d_{i} = I L_{disp} - g for the LC, \end{array}

((16))

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\begin{array}{r} I = | \tan γ | \frac{1 + \cos (β_{b} + α)}{\cos β_{b}} \frac{2 \cos^{3} β_{0}}{{(\sin α - \sin β_{0})}^{2}} . \end{array}

((17))

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\begin{array}{r} Π (α) = {\begin{array}{ccc} 0 & if & \sin α < 1 - \frac{2 π c}{ω_{b}} \frac{N}{\cos γ} or \sin α > \frac{4 π c}{ω_{b}} \frac{N}{\cos γ} - 1 \\ 1 & if & otherwise \end{array} . \end{array}

((18))

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\begin{array}{r} D = min {d_{g}; d_{i}} Π (α), \end{array}

((19))

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\begin{array}{r} L = | GVD | ω_{0} c \frac{1}{\cos γ} \frac{2 \cos^{3} β_{0}}{{(\sin α - \sin β_{0})}^{2}}, \end{array}

((20))

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\begin{array}{r} \sin α_{L} = \frac{π c}{ω_{0}} \frac{N}{\cos γ} . \end{array}

((21))

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Efim Khazanov, "New grating compressor designs for XCELS and SEL-100 PW projects," High Power Laser Sci. Eng. 12, 03000e36 (2024)

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