Third-generation synchrotron radiation light sources provide partially
coherent radiation. Certain topics in the optical design of beam line
s and monochromators can be studied with electric-field distributions
only rather than with intensity distributions of the light source. The
radiation characteristics of a dipole or an undulator can be represen
ted by a two-dimensional complex-electric-field distribution at a dist
ance of several meters from the insertion device center. A method is d
escribed that transforms this field distribution through a complete be
am line (consisting of mirrors and gratings) to the sample plane. Diff
raction at apertures can be modeled and Stokes parameters can be evalu
ated. The derivation of the equations was performed with the algebraic
code REDUCE. A comparison with the brightness formalism is provided.
(C) 1997 Optical Society of America.