A note on thermal analysis for an inclined plate crotch absorber

Crotch absorbers are used to absorb unwanted synchrotron radiation to prevent most of the photons from striking the wall of a vacuum chamber. Since synchrotron radiation generated by bending the positron beam is very powerful, concentrated and penetrating, the absorber produces high internal heat generation. Depending on the materials used, this energy generation may be restricted near the surface of the absorber or distributed throughout the absorber with exponential decay in the direction of the penetration. The cooling of an absorber is important to prevent melting the material and to retain ultra high vacuum, since photon energy deposition on the metal surface causes the desorption of gases. This note describes an analytical solution of the heat transfer with application to designing a crotch absorber. The effects of angles and thicknesses of the plate and different materials on temperature distributions of the absorber are examined