2025/01/08 by Benjamin Aymard, Aymard, Benjamin, Andrea Delahaye +3 · 1 citation
Engineering · Physics and Astronomy · #14P10 #14P25 #14Q30 #Adaptive optics and wavefront sensing #Advanced optical system design #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Instrumentation and Methods for Astrophysics (astro-ph.IM) #Mathematical Physics (math-ph) #Spacecraft Design and Technology
paper · pdf · doi:10.48550/arxiv.2501.04748
openalex publication_date 2025/01/08 · openalex created_date 2025/01/11 · openalex updated_date 2026/07/28
In this article we propose an original classification method for unobscured imaging systems unfolded in two dimensions. This classification is based on a study of off-axis properties, and relies on topology and algorithm of real algebraic geometry to find at least one instance by connected component of a semialgebraic set. Our corresponding nomenclature provides intrinsic information about the system, in terms of geometry and manufacturability. The proposed systems for each name of the nomenclature, can be used as starting points for parallel optimizations, allowing for a much more comprehensive search of an unobscured solution, given a set of specifications. We exemplify our method on three and four mirrors imaging systems.