2016
DOI: 10.1016/j.aop.2015.11.005
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Shock wave polarizations and optical metrics in the Born and the Born–Infeld electrodynamics

Abstract: We analyze the behavior of shock waves in nonlinear theories of electrodynamics. For this, by use of generalized Hadamard step functions of increasing order, the electromagnetic potential is developed in a series expansion near the shock wave front. This brings about a corresponding expansion of the respective electromagnetic field equations which allows for deriving relations that determine the jump coefficients in the expansion series of the potential. We compute the components of a suitable gauge-normalized… Show more

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Cited by 5 publications
(4 citation statements)
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“…for every order of the potential. This is similar to the situation known from shockwaves in Plebański's class [14].…”
Section: The Homogeneous Maxwell Equationsupporting
confidence: 84%
“…for every order of the potential. This is similar to the situation known from shockwaves in Plebański's class [14].…”
Section: The Homogeneous Maxwell Equationsupporting
confidence: 84%
“…This formalism has been studied by introducing the so-called Fresnel equation, which amounts to a dispersion relation for the wave vectors. It can be derived by studying either the propagation of surfaces of discontinuities [19][20][21][22], or by assuming an approximate a plane-wave ansatz [23]. For the case of Born-Infeld electrodynamics, it follows that the wave vectors k µ satisfy the modified dispersion relation g eff µν k µ k ν = 0, where…”
Section: Summary and Discussionmentioning
confidence: 99%
“…The main difference between the Born-Infeld and the Born theories is that while the latter does exhibit birefringence, the former model does not [9].…”
Section: Jhep10(2016)160mentioning
confidence: 99%
“…The propagation of shock waves in non-linear electrodynamics [8,9] in general presents the phenomenon of birefringece in the vacuum, where the shock wave has two polarization modes traveling along distinct directions following distinct "optical metrics". The main difference between the Born-Infeld and the Born theories is that while the latter does exhibit birefringence, the former model does not [9].…”
Section: Jhep10(2016)160mentioning
confidence: 99%