Resolving ambiguities in phase correction term for optical field encoding

Abstract

This article addresses ambiguities regarding the existence and definition of a phase correction term in phase and amplitude optical field encoding techniques. We present a generalized mixed Fourier–Taylor series expansion that is valid for any phase-wrapping interval. Our theoretical analysis, along with numerical and experimental validations, confirm that maintaining consistency within a given phase-wrapping convention ensures equivalent results and reconciles previously conflicting interpretations.