On the Schwinger limit attainability with extreme power lasers
On the Schwinger limit attainability with extreme power lasers
On the Schwinger limit attainability with extreme power lasers
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Radiation friction effects<br />
du 2e<br />
ds 3c<br />
<br />
2<br />
2<br />
mec <br />
eFu <br />
g<br />
The radiation friction force in <strong>the</strong> Landau-Lifshitz form is given by<br />
Retaining <strong>the</strong> main order terms, we obtain equation for <strong>the</strong> x-component of <strong>the</strong> electron<br />
momentum<br />
2<br />
dpx 2 px re<br />
rad0 a (2 t)<br />
, rad<br />
<br />
dt m c 3<br />
Its solution is<br />
<br />
2 <br />
2<br />
2e<br />
Fe g u u F F u F u F u u<br />
3 2 <br />
3mec <br />
x<br />
mec <br />
<br />
p (0) m c m c<br />
p ( t) , p ( t)<br />
<br />
x e e<br />
x t<br />
2<br />
mec rad0px(0) a (2t ') dt '<br />
0<br />
x<br />
t<br />
2<br />
rad0lasa0 L. D. Landau, and E. M. Lifshitz, The Classical Theory of Fields, Pergamon, 1975<br />
I. Pomeranchuk, “Maximum Energy that Primary Cosmic-ray Electrons Can Acquire on <strong>the</strong> Surface of <strong>the</strong> Earth as a Result of Radiation in <strong>the</strong> Earth's Magnetic<br />
Field”, J. Phys. USSR, 2, 65 – 69, 1940<br />
e
Change language