We are working on the development of a method for optimizing wide-field X-ray telescope mirror prescriptions,
including polynomial coefficients, mirror shell relative displacements, and (assuming 4 focal plane detectors)
detector placement along the optical axis and detector tilt. With our methods, we hope to reduce number
of Monte-Carlo ray traces required to search the multi-dimensional design parameter space, and to lessen the
complexity of finding the optimum design parameters in that space. Regarding higher order polynomial terms
as small perturbations of an underlying Wolter I optic design, we begin by using the results of Monte-Carlo ray
traces to devise trial analytic functions, for an individual Wolter I mirror shell, that can be used to represent
the spatial resolution on an arbitrary focal surface. We then introduce a notation and tools for Monte-Carlo ray
tracing of a polynomial mirror shell prescription which permits the polynomial coefficients to remain symbolic.
In principle, given a set of parameters defining the underlying Wolter I optics, a single set of Monte-Carlo ray
traces are then sufficient to determine the polymonial coefficients through the solution of a large set of linear
equations in the symbolic coefficients. We describe the present status of this development effort.