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LIMITATIONS OF GAUGE INVARIANCE

LIMITATIONS OF GAUGE INVARIANCE

LIMITATIONS OF GAUGE INVARIANCE

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Intensity (a.u.)<br />

Intensity (W/cm 2 )<br />

LASER PHYSICS VIEWED FROM THE LENGTH <strong>GAUGE</strong>: FIELD INTENSITY<br />

10 4<br />

10 3<br />

10 2<br />

10 1<br />

10 0<br />

10 -1<br />

10 -2<br />

10 -3<br />

10 -4<br />

Wavelength (nm)<br />

10 4 10 3 10 2 10 1<br />

10.6 m<br />

CO 2<br />

800 nm<br />

Ti:sapph<br />

Strong Fields<br />

Weak Fields<br />

Electric field = 1 a.u.<br />

100 eV<br />

10 -3 10 -2 10 -1 10 0 10 1<br />

Field frequency (a.u.)<br />

10 20<br />

10 19<br />

10 18<br />

10 17<br />

10 16<br />

10 15<br />

10 14<br />

10 13

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