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On the Schwinger limit attainability with extreme power lasers

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Radiation friction effects (LAD):<br />

Circularly Polarized v.s. Linearly Polarized<br />

energy balance<br />

a<br />

2 2 2 6<br />

0 e rad e<br />

0<br />

( 1)(1 ),<br />

1<br />

tan<br />

<br />

<br />

1/<br />

3<br />

rad<br />

3<br />

rad e<br />

radiation friction important at :<br />

a<br />

400, 23 2<br />

i.e. at I 4.510 W/cm<br />

quantum recoil important at :<br />

a ( m c / <br />

)<br />

e<br />

2 1/ 2<br />

0<br />

24 2<br />

i.e. at I 410 W/cm<br />

,<br />

energy balance<br />

mca= mc<br />

+ 2 -<br />

2 2<br />

0 e 0<br />

rad 0 e e<br />

= 2r/ 10<br />

rad<br />

a<br />

0<br />

2<br />

e<br />

1<br />

rad<br />

8<br />

radiation friction important at :<br />

i.e. at E m c e E<br />

2 4 3<br />

3 e / 3 137 S<br />

quantum recoil important at :<br />

mci.e. a mc/<br />

0. 21<br />

2 2<br />

m e e<br />

e<br />

i.e. at I 10<br />

29<br />

W/cm<br />

2<br />

0

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