Scattering and depletion in a flying focus from conformal transformations
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.
Related
- Ultra-short flying focus
- Attosecond coherent Cherenkov radiation from a flying-focus-driven superluminal wakefield
- Enhancement of nonlinear pair production in a flying-focus pulse
- Radiative Corrections to Elastic Lepton-Proton Scattering with Focus on Two-Photon-Exchange Diagrams
- Direct Experimental Test of Conformal Invariance via Grazing Scattering: A Proposal for X-ray and Neutron Experiments
BibTeX
@misc{adamo2026scattering,
title = {{Scattering and depletion in a flying focus from conformal transformations}},
author = {Tim Adamo and Anton Ilderton and Adam Noble},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.14751},
eprint = {2605.14751},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.14751},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Scattering and depletion in a flying focus from conformal transformations
AU - Tim Adamo
AU - Anton Ilderton
AU - Adam Noble
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2605.14751
UR - https://arxiv.org/abs/2605.14751
AB - 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.
ER -