Photon-photon scattering in Born-Infeld electrodynamics

Hedvika Kadlecova

doi:10.1117/12.2665647

30 June 2023 Photon-photon scattering in Born-Infeld electrodynamics

Hedvika Kadlecova

Proceedings Volume 12580, Research Using Extreme Light: Entering New Frontiers with Petawatt-Class Lasers V; 1258007 (2023) https://doi.org/10.1117/12.2665647
Event: SPIE Optics + Optoelectronics, 2023, Prague, Czech Republic

Abstract

We study the interaction of two counter–propagating electromagnetic waves in vacuum in the Born–Infeld electrodynamics. First we investigate the Born case for linearly polarized beams, E · B = 0, i. e. G² = 0 (crossed field configuration), which is identical for Born–Infeld and Born electrodynamics; subsequently we study the general Born–Infeld case for beams which are nonlinearly polarized, G² ≠ 0. In both cases, we show that the nonlinear field equations decouple using self-similar solutions and investigate the shock wave formation. We show that the only nonlinear solutions are exceptional travelling wave solutions which propagate with constant speed and which do not turn into shocks. In the Born case, we naturally obtain exceptional wave solutions for counter–propagating (real photon– photon scattering) and for a co–propagating (non-interacting) beam orientation we investigate their direction of propagation. In the Born–Infeld case, we have additionally chosen the solutions which have constant phase velocities to match the limits of phase velocities of the background field in the Born case. We obtain two types of exceptional wave solutions, then we numerically analyze which phase velocities correspond to the counter– or co–propagating beams and subsequently we determine the direction of propagation of the exceptional waves.

Conference Presentation

Citation Download Citation

Hedvika Kadlecova "Photon-photon scattering in Born-Infeld electrodynamics", Proc. SPIE 12580, Research Using Extreme Light: Entering New Frontiers with Petawatt-Class Lasers V, 1258007 (30 June 2023); https://doi.org/10.1117/12.2665647

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available