U.S. Particle Accelerator School

Beam Diagnostics Using Synchrotron Radiation course

Sponsoring University:

University of California, Santa Cruz


Beam Diagnostics Using Synchrotron Radiation: Theory and Practice


Jeff Corbett and Alan Fisher, SLAC and Walter Mok (ret.)

Purpose and Audience
This course provides an introduction to the theory of synchrotron radiation and its application to measurements of charged-particle beams. The course is designed for students and scientists interested in the physics and technology underlying beam diagnostics with visible and x-ray radiation.

Undergraduate Electromagnetic Theory.

This course combines the synchrotron-radiation field equations with beam transport and diffraction theory to examine practical electron beam imaging techniques. The laboratory section provides hands-on experience with typical imaging systems in use today.

Instructional Method
The course consists of lectures in the morning (3 hrs. per class day), and an afternoon lecture session (1 hr. per class day) followed by hands-on laboratory work.

Course Content
The course begins with a review of single-particle synchrotron radiation physics leading to a derivation of the angular spectral-distribution functions. Convolution with the particle beam distribution function gives a phase-space representation for the photon beam source. Next we examine propagation of the photon beam through the transport line including mirrors, heat load effects, lenses, filters, polarizers and apertures. Optical imaging, correction factors and interferometry are covered for visible beam size measurements. Imaging with pinhole cameras and Fresnel zone plates in the x-ray regime is examined including geometric and diffraction effects.

In each case, the course covers practical instrumental considerations and analysis used for the measurements. The laboratory section provides hands-on experience with visible-beam instrumentation: power meters, single- and double-slit diffraction, polarizers, filters, CCD cameras with computer-controlled data acquisition, time-gated intensified CCD cameras, and photodiodes. Streak camera operation is reviewed and real data analyzed to extract bunch length and signatures of instabilities from time-dependent measurements of a bunch train.

(to be provided by the USPAS) "The Physics of Synchrotron Radiation", by Albert Hofmann, Cambridge University Press (2004).

Credit Requirements
Students will be evaluated based on homework assignments (50%) and laboratory notebooks (50%).