The paper considers the possibility of using a two-level representation of the geometry of free-form surfaces to speed up the ray tracing process and increase the stability of the tracing results for cases of 'unnatural' ray propagation, for example, in the analysis of scattered light in optical systems. Surfaces defined by high-order polynomials (up to the 34th order), as well as Jacobi polynomials, were considered as free-form surfaces. The analysis was carried out and the shortcomings of the representation of this geometry in an explicit form and in the form of a triangular grid were revealed. A method was proposed for the double representation of geometry in the form of a coarse triangular grid and the original analytical expression. Based on the Embree library, ray tracing methods were developed for geometric surfaces that have a dual representation. The developed methods have shown a significant acceleration of the ray tracing while maintaining the accuracy and high stability of calculations. The paper presents the results of calculating the point spread function and flare for lenses with aspherical surfaces given by Jacobi polynomials.

Free Form Surface, Embree, Ray Tracing, SIMD, Stray Light

Zhdanov Dmitri Dmitrievich,  ,  orcid.org/0000-0001-7346-8155,  ITMO University

Potemin Igor Stanislavovich,  ,  orcid.org/0000-0002-5785-7465,  ITMO University

Zhdanov Andrei Dmitrievich,  ,  orcid.org/0000-0002-2569-1982,  ITMO University