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arXiv · 2605.14751

Scattering and depletion in a flying focus from conformal transformations

Tim Adamo·Anton Ilderton·Adam Noble
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Abstract

We show that flying focus fields can be obtained from complex conformal transformation of plane waves, and that solutions of the massless wave equation in the so-obtained fields are, correspondingly, conformal transformations of the Volkov solutions. This leads to the result that photon emission amplitudes in a totally depleting flying focus beam may be computed directly from the corresponding plane wave amplitudes by taking a simple Gaussian average over certain momentum variables. In effect, this gives a way of introducing focussing effects into strong-field QED calculations `for free'. The extension of these results to scattering amplitudes including only partial depletion is discussed and some first results presented in the anti-self-dual limit.

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Tim Adamo, Anton Ilderton, Adam Noble. 2026-05-14. Scattering and depletion in a flying focus from conformal transformations. https://arxiv.org/abs/2605.14751

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