Multiple-Prism Dispersion Theory is extended to enable evaluation of the overall outward and return pass dispersion of multiple-prism-grating combinations. It was given by Newton in his book Opticks. Prism pair expanders were introduced by Brewster in 1813. A modern mathematical description of the single-prism dispersion was given by Born and Wolf in 1959. The generalized multiple-prism dispersion theory was introduced by Duarte and Piper in 1982. Applications include further refinements in the design of prism pulse compressors and nonlinear optics.