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The flying focus generates a short effective pulse duration with a small diameter focal spot that co- or counter-propagates along the optical axis at any velocity. Experiments validating the concept measured subluminal (\u22120.09c) to superluminal (39c) focal spot velocities with a nearly constant peak intensity over 4.5\u2009mm. Experiments that increased the peak intensity above the ionization threshold for gas demonstrated ionization waves propagating at the velocity of the flying focus. These ionization waves of any velocity overcome several laser-plasma propagation issues, including ionization-induced refraction. The flying focus presents opportunities to overcome current fundamental limitations in laser-plasma amplifiers, laser wakefield accelerators, photon accelerators, and high-order frequency conversion.<\/jats:p>","DOI":"10.1063\/1.5086308","type":"journal-article","created":{"date-parts":[[2019,3,20]],"date-time":"2019-03-20T12:24:05Z","timestamp":1553084645000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":36,"title":["Flying focus: Spatial and temporal control of intensity for laser-based applications"],"prefix":"10.1063","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6981-3956","authenticated-orcid":false,"given":"D. 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