2009
DOI: 10.1016/j.optcom.2009.01.051
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A Lorentz and gauge invariant measure of laser intensity

Abstract: Focussing on null fields as simple models of laser beams we discuss the classical relativistic motion of charges in strong electromagnetic fields. We suggest a universal, Lorentz and gauge invariant measure of laser intensity and explicitly calculate and interpret it for crossed field, plane wave and vortex models.

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Cited by 83 publications
(96 citation statements)
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“…The first is the classical nonlinearity parameter ξ, which for a plane-wave vector potential A μ with pulse envelope gðφÞ, can be written as eA μ ¼ mξε μ gðφÞ, for ε · ε ¼ −1, and is sometimes [56] referred to as "a 0 " or the "intensity parameter." The parameter ξ can be defined through the electric field strength E ¼ ðmξϰ 0 = ffiffiffi α p Þg 0 ðφÞ for jg 0 ðφÞj ≤ 1.…”
Section: Introduction and Definitionsmentioning
confidence: 99%
“…The first is the classical nonlinearity parameter ξ, which for a plane-wave vector potential A μ with pulse envelope gðφÞ, can be written as eA μ ¼ mξε μ gðφÞ, for ε · ε ¼ −1, and is sometimes [56] referred to as "a 0 " or the "intensity parameter." The parameter ξ can be defined through the electric field strength E ¼ ðmξϰ 0 = ffiffiffi α p Þg 0 ðφÞ for jg 0 ðφÞj ≤ 1.…”
Section: Introduction and Definitionsmentioning
confidence: 99%
“…electric field and laser frequency are measured to be E and ω, respectively. A manifestly Lorentz and gauge invariant definition will be given further below (see also [14]). Note that a 0 is a purely classical parameter as it does not contain .…”
Section: Introductionmentioning
confidence: 99%
“…the driving frequency. This resonance condition, when combined with momentum conservation in three directions, can be written precisely as (5). In other words, the resonance condition looks just like a conservation law for quasi-momentum.…”
Section: Finite Duration and The Role Of The Shifted Massmentioning
confidence: 99%