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On the Schwinger limit attainability with extreme power lasers

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Eφ<br />

1<br />

0<br />

1<br />

3D EM configuration<br />

TE - mode<br />

F a<br />

TE /<br />

2<br />

The vector field shows r- and z-components of <strong>the</strong> poloidal magnetic field in <strong>the</strong> plane (r,z):<br />

The color density shows <strong>the</strong> toroidal electric field distribution, E ( r, z)<br />

The first Poincare invariant : c) 2 2 2 2<br />

F / a ( E B<br />

) / 2a<br />

TE 0 0<br />

TE configuration<br />

Electric field<br />

E(<br />

R,<br />

) <br />

e<br />

<br />

a sin( t) J ( k R) L (cos )<br />

0 0<br />

1/ 2<br />

8 R<br />

Magnetic field 0<br />

<br />

B ik E<br />

n1/ 2 0<br />

l<br />

n<br />

B(<br />

rz , )

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