Calculating dispersion of aberration-free stretcher using matrix formalism

A 3 × 3 order matrix formalism for describing dispersion system conveniently is achieved by introducing an angular dispersion term based on ABCD matrix formalism. The matrix formalism is used to compute the second and third order time dispersion of the aberration-free stretcher. The same conclusion as the one achieved using the way of routine integral and ray trace is obtained. It is proven that computing the time delay dispersion of any dispersion systems using matrix formalism not only is convenient but also can offer more information about systems. In addition, this way is suitable for any dispersion systems.