Scheme for the detection of mixing processes in vacuum
F. Fillion-Gourdeau, C. Lefebvre, S. MacLean

TL;DR
This paper proposes a theoretical scheme using a high numerical aperture parabolic mirror to detect photons from vacuum mixing processes induced by high-intensity laser fields, potentially enabling experimental observation of nonlinear quantum electrodynamics effects.
Contribution
It introduces a novel detection scheme employing a parabolic mirror and wave mixing theory to identify vacuum photon-photon interactions with current laser technology.
Findings
Photon generation rates are estimated for specific laser configurations.
The scheme demonstrates feasibility for experimental detection of vacuum nonlinearities.
Theoretical modeling includes Stratton-Chu diffraction for focused laser fields.
Abstract
A scheme for the detection of photons generated by vacuum mixing processes is proposed. The strategy consists in the utilization of a high numerical aperture parabolic mirror which tightly focuses two co-propagating laser beams with different frequencies. This produces a very high intensity region in the vicinity of the focus, where the photon-photon nonlinear interaction can then induce new electromagnetic radiation by wave mixing processes. These processes are investigated theoretically. The field at the focus is obtained from the Stratton-Chu vector diffraction theory, which can accomodate any configuration of an incoming laser beam. The number of photons generated is evaluated for an incident radially polarized beam. It is demonstrated that using this field configuration, vacuum mixing processes could be detected with envisaged laser technologies.
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