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    Cone-guided phase-space control of laser-driven proton beams

    S. Chintalwad* and David J. Stark

    • William & Mary, Department of Physics, Williamsburg, Virginia 23185, USA

    • *Contact author: snchintalwad@wm.edu

    Phys. Rev. E 114, 035212 – Published 22 September, 2026

    DOI: https://doi.org/10.1103/d45l-hsgg

    Abstract

    Laser-driven ion acceleration offers a promising route toward compact high-energy particle sources, yet achieving control of beam collimation, spectral width, and laser-to-ion energy conversion remains a central challenge for most applications. Using two- and three-dimensional particle-in-cell simulations, we investigate proton acceleration from a solid target consisting of a thin foil followed by a converging hollow plasma cone and irradiated by a relativistic laser pulse. The cone length critically controls the proton beam collimation and spectral width by regulating the lifetime and spatial structure of electron-driven sheath fields sustained along the cone walls. Specifically, the cone walls collapse throughout the irradiation process, and these sheath fields—enhanced by strong azimuthal magnetic fields that improve electron trapping—provide a tunable tradeoff. Matching the proton transit time to the cone collapse time reduces beam divergence, while an earlier cone collapse reduces the spectral width. Using a linearly polarized pulse in the radiation pressure acceleration plus target normal sheath acceleration regime exploits target heating to create these sheath field and magnetic field structures. These results identify cone-length-controlled sheath-field dynamics as a robust mechanism for proton beam control. Relative to the planar foil case, optimized cone lengths reduce the relative proton energy spread by approximately 63% in two-dimensional simulations and reduce the 25%-energy containment radius by approximately 46% in three-dimensional simulations after 200 µm of ballistic propagation.

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