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Joe Frisch: Synchrotron radiation sources and free ... - Conferences

Joe Frisch: Synchrotron radiation sources and free ... - Conferences

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Undulator Radiation<br />

Most high brightness X-ray <strong>sources</strong> rely on undulator <strong>radiation</strong><br />

(synchrotron <strong>radiation</strong> from bends also used in storage rings)<br />

N S N S N S N S N S N S N S N S<br />

S<br />

N S N S N S N S N S N S N S N<br />

Relativistic electron moves in<br />

alternating magnetic field<br />

In the average co-moving frame of the electron the undulator<br />

wavelength is shortened by gamma.<br />

Normalized field strength<br />

In weak fields (K < 1), motion is sinusoidal, no harmonics<br />

In strong fields (K>1) motion is relativistic in the co-moving<br />

frame. This produces nonlinear motion <strong>and</strong> harmonics.<br />

N S N S N S N S N S N S N S N S<br />

S<br />

N S N S N S N S N S N S N S N<br />

K<br />

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eB�u<br />

2�m<br />

c<br />

e<br />

In the lab frame, the <strong>radiation</strong><br />

wavelength is Doppler shifted<br />

by another factor of gamma.<br />

7

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