Three-dimensional polarization ray-tracing calculus I: definition and diattenuation

Abstract

A three-by-three polarization ray-tracing matrix method for polarization ray tracing in optical systems is presented for calculating the polarization transformations associated with ray paths through optical systems. The method is a three-dimensional generalization of the Jones calculus. Reflection and refraction algorithms are provided. Diattenuation of the optical system is calculated via singular value decomposition. Two numerical examples, a three fold-mirror system and a hollow corner cube, demonstrate the method.

Polarization modeling and predictions for Daniel K. Inouye Solar Telescope part 1: telescope and example instrument configurations

“…Polaris-M is an in house polarization ray tracing software developed at the University of Arizona Polarization Laboratory. [63][64][65][66][67] The DKIST project has used this to model the polarimetric calibration optics at the Gregorian focus. 53 A forthcoming paper will describe the polarization performance of the calibration optics and polarization fringe predictions.…”

Polarization modeling and predictions for DKIST part 1: telescope and example instrument configurations

“…Polaris-M is an in house polarization ray tracing software developed at the University of Arizona Polarization Laboratory. [63][64][65][66][67] The DKIST project has used this to model the polarimetric calibration optics at the Gregorian focus. 54 A forthcoming paper will describe the polarization performance of the calibration optics and polarization fringe predictions.…”

HabEx polarization ray trace and aberration analysis

“…Given a threedimensional electric field before a surface, E q , with direction of propagation,k q , and an optical surface represented by the 3 × 3 PRT matrix, P q , the electric field and direction of propagation after interaction with the surface, E q+1 andk q+1 , are described by E q+1 = P q E q andk q+1 = P qkq . 7 The PRT matrix for reflection at the q th optical surface in a system is given by…”

“…. POLARIZATION RAY TRACING HabEx3.1 OverviewOur polarization ray trace outputs polarization ray tracing (PRT) matrices for each ray traced through the system 7. PRT matrices are three-dimensional extensions of Jones matrices and are used to calculate Jones pupils which are a 2 × 2 complex-valued Jones matrix at each spatial coordinate (x,y) in the pupil.…”