Algorithm for implementing an ABCD ray matrix wave-optics propagator

Justin D. Mansell; Robert Praus; Liyang Xu; Anthony Seward; Steve Coy

doi:10.1117/12.734849

14 September 2007 Algorithm for implementing an ABCD ray matrix wave-optics propagator

Justin D. Mansell, Robert Praus, Liyang Xu, Anthony Seward, Steve Coy

Proceedings Volume 6675, Optical Modeling and Performance Predictions III; 66750G (2007) https://doi.org/10.1117/12.734849
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

Abstract

In prior work we described a 5x5 ray matrix formalism and how to integrate the effects that are not modeled in wave-optics with the ray matrix model. In this paper we describe how to complete the integration of the two techniques by modifying the Siegman ABCD ray matrix decomposition. After removing the separable effects like image rotation and image inversion, we break the 5x5 ray matrix into two 2x2 sections (a.k.a. the ABCD matrices) that correspond to the two axes orthogonal to the propagation. We then present a general algorithm that breaks any arbitrary ABCD matrix into four simple wave-optics steps. The algorithm presented has sufficient generality to handle image planes and focal planes. This technique allows for rapid and accurate wave-optics modeling of the propagation of light through complex optical systems comprised of simple optics.

Citation Download Citation

Justin D. Mansell, Robert Praus, Liyang Xu, Anthony Seward, and Steve Coy "Algorithm for implementing an ABCD ray matrix wave-optics propagator", Proc. SPIE 6675, Optical Modeling and Performance Predictions III, 66750G (14 September 2007); https://doi.org/10.1117/12.734849

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