title: Applications of algorithmic differentiation to phase retrieval algorithms.
abstract: In this paper, we generalize the techniques of reverse-mode algorithmic differentiation to include elementary operations on multidimensional arrays of complex numbers. We explore the application of the algorithmic differentiation to phase retrieval error metrics and show that reverse-mode algorithmic differentiation provides a framework for straightforward calculation of gradients of complicated error metrics without resorting to finite differences or laborious symbolic differentiation.
authors.forename: Alden S
authors.initials: AS
authors.lastname: Jurling
authors.forename: James R
authors.initials: JR
authors.lastname: Fienup