Abstract
The problem of scattering of two plane waves is exactly solved in the Born-Infeld electrodynamics. The shape and the direction of the plane waves after scattering turn out to be unchanged. There is only change in the wave phase by the value which is the product of its frequency and the momentum of the incident wave. It is shown that in the interaction region the solution becomes a multiple-valued function ofx, t when the electromagnetic field exceeds a certain value which plays the role of an absolute field scale.
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References
Barbashov, B., etN. Chernikov: JETP 5,50, 1296–1308 (1965).
Born, M., andL. Infeld: Proc. Roy. Soc. A144, 425 (1934).
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Barbashov, B.M., Chernikov, N.A. Scattering of two plane electromagnetic waves in the non-linear Born-Infeld electrodynamics. Commun.Math. Phys. 3, 313–322 (1966). https://doi.org/10.1007/BF01645085
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DOI: https://doi.org/10.1007/BF01645085