Dihedral Group and Repetitive Achromats with Mirror Symmetric or Mirror Antisymmetric Basic Cell

TL;DR

This paper uses group theory to analyze second and third order repetitive achromats with mirror symmetries, comparing their properties to achromats without such symmetries to understand the impact of symmetry on optical performance.

Contribution

It introduces a group-theoretical framework for analyzing achromats with mirror symmetries, providing insights into their design and performance advantages.

Findings

Mirror symmetric and antisymmetric basic cells influence achromat properties.

Symmetry considerations lead to different achromat configurations.

Comparison shows advantages of symmetry-based designs.

Abstract

Using the group-theoretical point of view we study in this paper second and third order repetitive achromats with a mirror symmetric or mirror antisymmetric basic cell and compare these achromats with repetitive achromats designed without internal cell symmetries taken into account.