{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,12,23]],"date-time":"2024-12-23T09:40:02Z","timestamp":1734946802695,"version":"3.32.0"},"reference-count":74,"publisher":"Cambridge University Press (CUP)","issue":"6","license":[{"start":{"date-parts":[[2024,12,23]],"date-time":"2024-12-23T00:00:00Z","timestamp":1734912000000},"content-version":"unspecified","delay-in-days":22,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["cambridge.org"],"crossmark-restriction":true},"short-container-title":["J. Plasma Phys."],"published-print":{"date-parts":[[2024,12]]},"abstract":"<jats:p>There is renewed interest in direct-drive inertial confinement fusion, following the milestone December 2022 3.15 MJ ignition result on the National Ignition Facility. A key obstacle is the control of the two-plasmon decay instability. Here, recent advances in inhomogeneous turbulence theory are applied to the broadband parametric instability problem for the first time. A novel dispersion relation is derived for the two-plasmon decay in a uniform plasma valid under broad-bandwidth laser fields with arbitrary power spectra. The effects of temporal incoherence on the instability are then studied. In the limit of large bandwidth, the well-known scaling relations for the growth rate are recovered, but it is shown that the result is more sensitive to the spectral shape of the laser pulse rather than to its coherence time. The range of wavenumbers of the excited plasma waves is shown to be substantially broadened, suggesting that the absolute instability is favoured in regions further away from the quarter critical density. The intermediate-bandwidth regime is explored numerically \u2013 the growth rate is reduced to half its monochromatic value for laser intensities of <jats:inline-formula>\n\t      <jats:alternatives>\n\t\t<jats:tex-math>$10^{15} \\ \\text {W}\\ \\text {cm}^{-2}$<\/jats:tex-math>\n\t\t<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"png\" xlink:href=\"S0022377824000953_inline1.png\"\/>\n\t      <\/jats:alternatives>\n\t    <\/jats:inline-formula> and relatively modest bandwidths of <jats:inline-formula>\n\t      <jats:alternatives>\n\t\t<jats:tex-math>$5 \\ \\text {THz}$<\/jats:tex-math>\n\t\t<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"png\" xlink:href=\"S0022377824000953_inline2.png\"\/>\n\t      <\/jats:alternatives>\n\t    <\/jats:inline-formula>. The instability-quenching properties of a spectrum of discrete lines spread over some bandwidth have also been studied. The reduction in the growth rate is found to be somewhat lower compared with the continuous case but is still significant, despite the fact that, formally, the coherence time of such a laser pulse is infinite.<\/jats:p>","DOI":"10.1017\/s0022377824000953","type":"journal-article","created":{"date-parts":[[2024,12,23]],"date-time":"2024-12-23T08:59:41Z","timestamp":1734944381000},"update-policy":"https:\/\/doi.org\/10.1017\/policypage","source":"Crossref","is-referenced-by-count":0,"title":["Statistical theory of the broadband two-plasmon decay instability"],"prefix":"10.1017","volume":"90","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9205-2585","authenticated-orcid":false,"given":"R.T.","family":"Ruskov","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9843-7635","authenticated-orcid":false,"given":"R.","family":"Bingham","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2906-924X","authenticated-orcid":false,"given":"L.O.","family":"Silva","sequence":"additional","affiliation":[]},{"given":"M.","family":"Harper","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9871-4962","authenticated-orcid":false,"given":"R.","family":"Aboushelbaya","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2063-9675","authenticated-orcid":false,"given":"J.F.","family":"Myatt","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5539-9464","authenticated-orcid":false,"given":"P.A.","family":"Norreys","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2024,12,23]]},"reference":[{"key":"S0022377824000953_ref13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.14.1869"},{"key":"S0022377824000953_ref15","doi-asserted-by":"publisher","DOI":"10.1088\/0031-8949\/1996\/T63\/002"},{"key":"S0022377824000953_ref54","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-00038-1_1"},{"key":"S0022377824000953_ref64","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2020.126377"},{"key":"S0022377824000953_ref61","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.99.205006"},{"key":"S0022377824000953_ref66","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.124.185001"},{"key":"S0022377824000953_ref33","doi-asserted-by":"publisher","DOI":"10.1016\/0370-1573(88)90012-9"},{"key":"S0022377824000953_ref35","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-23424-8"},{"key":"S0022377824000953_ref57","doi-asserted-by":"publisher","DOI":"10.1088\/0029-5515\/15\/2\/008"},{"key":"S0022377824000953_ref12","doi-asserted-by":"publisher","DOI":"10.1142\/9789812793812_0010"},{"key":"S0022377824000953_ref14","doi-asserted-by":"publisher","DOI":"10.1063\/1.860439"},{"key":"S0022377824000953_ref20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.105.L063201"},{"key":"S0022377824000953_ref67","doi-asserted-by":"publisher","DOI":"10.1063\/1.4757978"},{"key":"S0022377824000953_ref48","doi-asserted-by":"publisher","DOI":"10.1063\/1.4971813"},{"key":"S0022377824000953_ref73","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.124.055002"},{"key":"S0022377824000953_ref17","doi-asserted-by":"publisher","DOI":"10.1063\/1.4998934"},{"key":"S0022377824000953_ref23","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-1573(01)00066-7"},{"key":"S0022377824000953_ref63","doi-asserted-by":"publisher","DOI":"10.1063\/1.3125929"},{"key":"S0022377824000953_ref51","doi-asserted-by":"publisher","DOI":"10.1063\/5.0118080"},{"key":"S0022377824000953_ref46","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.120.055001"},{"key":"S0022377824000953_ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s10894-023-00372-w"},{"key":"S0022377824000953_ref44","unstructured":"Pesme, D. , Berger, R.L. , Williams, E.A. , Bourdier, A. & Bortuzzo-Lesne, A. 1992 A statistical description of parametric instabilities with an incoherent pump; effet de l'incoh\u00e9rence spatiale induite sur les instabilit\u00e9s param\u00e9triques. Tech. Rep. CEA-N-2692. Commissariat \u00e0 l\u2019\u00e9nergie atomique et aux \u00e9nergies alternatives. arXiv:0710.2195."},{"key":"S0022377824000953_ref31","doi-asserted-by":"publisher","DOI":"10.1063\/1.858939"},{"key":"S0022377824000953_ref26","doi-asserted-by":"publisher","DOI":"10.1201\/9781003003243"},{"key":"S0022377824000953_ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2015.10.009"},{"key":"S0022377824000953_ref5","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6587\/ac11b5"},{"key":"S0022377824000953_ref9","doi-asserted-by":"publisher","DOI":"10.1017\/S0022377822000502"},{"key":"S0022377824000953_ref45","doi-asserted-by":"publisher","DOI":"10.1063\/1.860545"},{"key":"S0022377824000953_ref49","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.98.235001"},{"key":"S0022377824000953_ref74","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-021-04281-w"},{"key":"S0022377824000953_ref22","volume-title":"Statistical Optics","author":"Goodman","year":"2015"},{"key":"S0022377824000953_ref16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.74.3983"},{"key":"S0022377824000953_ref47","doi-asserted-by":"publisher","DOI":"10.1017\/S0022377818001307"},{"key":"S0022377824000953_ref50","doi-asserted-by":"publisher","DOI":"10.1063\/1.2049169"},{"key":"S0022377824000953_ref65","unstructured":"Turnbull, D. , Boni, R. , Colaitis, A. , Dorrer, C. , Edgell, D. , Follett, R. , Froula, D. , Goncharov, V. , Haberberger, D. , Hill, E. , Katz, J. , Milder, A.L. , Palastro, J.P. , Shah, R. , Shvydky, A. , Solodov, A. , & Zuegel, J. 2023 Thomas H. Stix award for outstanding early career contributions to plasma physics research: developing broadband laser drivers for a step change in ICF performance through laser-plasma instability mitigation. 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Published by Cambridge University Press","name":"copyright","label":"Copyright","group":{"name":"copyright_and_licensing","label":"Copyright and Licensing"}},{"value":"This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http:\/\/creativecommons.org\/licenses\/by\/4.0\/), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.","name":"license","label":"License","group":{"name":"copyright_and_licensing","label":"Copyright and Licensing"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}],"article-number":"905900621"}}