Laser scaling for generation of megatesla magnetic fields by microtube implosions

D. Shokov; M. Murakami; J. J. Honrubia

doi:10.1017/hpl.2021.46

Journals >High Power Laser Science and Engineering >Volume 9 >Issue 4 >Page 04000e56 > Article

High Power Laser Science and Engineering
Vol. 9, Issue 4, 04000e56 (2021)

Laser scaling for generation of megatesla magnetic fields by microtube implosions

D. Shokov^1、2, M. Murakami^2、*, and J. J. Honrubia³

Author Affiliations

¹Graduate School of Engineering, Osaka University, Suita, Osaka565-0875, Japan

²Institute of Laser Engineering, Osaka University, Suita, Osaka565-0871, Japan

³ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, 28040Madrid, Spain

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DOI: 10.1017/hpl.2021.46 Cite this Article Set citation alerts

D. Shokov, M. Murakami, J. J. Honrubia. Laser scaling for generation of megatesla magnetic fields by microtube implosions[J]. High Power Laser Science and Engineering, 2021, 9(4): 04000e56 Copy Citation Text

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Abstract

Microtube implosions are a novel scheme to generate ultrahigh magnetic fields of the megatesla order. These implosions are driven by ultraintense and ultrashort laser pulses. Using two- and three-dimensional particle simulations where megatesla-order magnetic fields can be achieved, we demonstrate scaling and criteria in terms of laser parameters, such as laser intensity and laser energy, to facilitate practical experiments toward the realization of extreme physical conditions, which have yet to be realized in laboratories. Microtube implosions should provide a new platform for studies in fundamental and applied physics relevant to ultrahigh magnetic fields.

Keywords

megatesla magnetic field microtube implosion ultraintense laser

\begin{align}{B}_{\mathrm{max}}\kern0.1em \left[\mathrm{MT}\right]=\frac{{\left(Z/6\right)}^{3/2}}{{\left(A/12\right)}^{1/2}}\left(\frac{n_{\mathrm{i}0}}{10^{23}\kern0.1em {\mathrm{cm}}^{-3}}\right)\left(\frac{R_0}{3\,\,\unicode{x3bc}\mathrm{m}}\right)\sqrt{\frac{{\mathrm{\mathcal{E}}}_{\mathrm{av}}}{6\ \mathrm{MeV}}},\end{align}

((1))

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\begin{align}{\mathrm{\mathcal{E}}}_{\mathrm{a}\mathrm{v}}=\frac{4{\eta}_{\mathrm{a}}{D}_0{\tau}_{\mathrm{L}}{I}_{\mathrm{L}}}{\left({D}_0^2-\pi {R}_0^2\right){Zn}_{\mathrm{i}0}},\end{align}

((2))

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\begin{align}{\eta}_{\mathrm{a}}\approx {\left(1+\frac{1}{\eta_0{\left({{\kern2pt}\widehat{I}}_{\mathrm{L}}{\widehat{\lambda}}_{\mathrm{L}}^2\right)}^{1/4}}\right)}^{-1},\kern1em 0.1\lesssim {\eta}_0\lesssim 0.8.\end{align}

((3))

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\begin{align}{B}_{\mathrm{max}}\kern0.1em \left[\mathrm{MT}\right]=0.52{\left(\frac{\eta_{\mathrm{a}}{\widehat{\tau}}_{\mathrm{L}}{\widehat{I}}_{\mathrm{L}}{\widehat{D}}_0{\widehat{R}}_0^2{\widehat{n}}_{\mathrm{i}0}{Z}^2}{\left({{\kern2pt}\widehat{D}}_0^2-\pi {\widehat{R}}_0^2\right)A}\right)}^{1/2},\end{align}

((4))

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\begin{align}{R}_{\mathrm{H}}\kern0.1em \left[\mathrm{nm}\right]=37\kern0.1em {\widehat{B}}_0{\widehat{R}}_0^2{\left(\frac{\left({{\kern2pt}\widehat{D}}_0^2-\pi {\widehat{R}}_0^2\right){\widehat{n}}_{\mathrm{i}0}{Z}^2}{\eta_{\mathrm{a}}{\widehat{D}}_0{\widehat{\tau}}_{\mathrm{L}}{\widehat{I}}_{\mathrm{L}}A}\right)}^{1/2},\end{align}

((5))

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\begin{align}{J}_{\mathrm{H}}\kern0.1em \left[\mathrm{PA}\ {\mathrm{cm}}^{-2}\right]=0.63\kern0.1em \frac{\eta_{\mathrm{a}}{\widehat{D}}_0{\widehat{\tau}}_{\mathrm{L}}{\widehat{I}}_{\mathrm{L}}}{{\widehat{B}}_0{\widehat{R}}_0\left({{\kern2pt}\widehat{D}}_0^2-\pi {\widehat{R}}_0^2\right)}.\end{align}

((6))

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\begin{align}{P}_{\mathrm{L}}=4{D}_0{L}_0{I}_{\mathrm{L}},\end{align}

((7))

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\begin{align}{E}_{\mathrm{L}}={P}_{\mathrm{L}}{\tau}_{\mathrm{L}},\end{align}

((8))

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\begin{align}\frac{R_{\mathrm{H}}}{\lambda_{\mathrm{D}}}\sim 0.39\frac{{\widehat{R}}_0^2\left({{\kern2pt}\widehat{D}}_0^2-\pi {\widehat{R}}_0^2\right){\widehat{n}}_{\mathrm{i}0}^{3/2}{Z}^2}{\eta_{\mathrm{a}}{\widehat{D}}_0{\widehat{\tau}}_{\mathrm{L}}{\widehat{I}}_{\mathrm{L}}\sqrt{A}}{\widehat{B}}_0>1,\end{align}

((9))

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D. Shokov, M. Murakami, J. J. Honrubia. Laser scaling for generation of megatesla magnetic fields by microtube implosions[J]. High Power Laser Science and Engineering, 2021, 9(4): 04000e56

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