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LCLS Conceptual Design Report - Stanford Synchrotron Radiation ...

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L C L S C O N C E P T U A L D E S I G N R E P O R T<br />

power is at angles greater than 1/γ. For this reason, the OTR is not diffraction-limited at 1/γ, but<br />

limited only by the aperture of the collecting optics for a given wavelength. Figure 8.38 shows a<br />

schematic of the OTR angular distribution features at 40 MeV. For a wide-aperture optical<br />

system, sub-10 µm resolution is expected. At APS, B. Yang has recently tested in the lab a<br />

camera-lens package with sub-10 µm resolution for the chicane beam size monitor.<br />

Figure 8.37 A schematic of forward OTR and backward OTR generation for interfaces normal to the<br />

beam (left) and at 45º to the beam (right). The dielectric constants for vacuum (ε 0) and<br />

the medium (ε) are indicated.<br />

In addition to the beam profile function, one may take advantage of the laser-like angular<br />

distribution of OTR to measure e-beam angle. As has been done in previous experiments in the<br />

1980's, the camera-lens system can be set so the sensor is at the focal plane of the lens. In this<br />

configuration far-field or angular distribution information is obtainable as schematically<br />

illustrated in Figure 8.39. Since in this case 1/γ≈35 µrad, the optics and distances would have to<br />

be chosen appropriately. Alternatively, at a 10-m distance the angular divergence contribution<br />

from OTR would give a projected spot size of ~700 µm with no lens. The centroid of such an<br />

image is related to beam direction and angle. An angle sensitivity of several micro-radians should<br />

be possible.<br />

8-70 ♦ U N D U L A T O R

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