Exact equations to design aplanatic sequential optical systems

We present the exact differential equations to design an aplanatic sequential optical system, a system that is free of spherical aberration and linear coma. We get the exact set of equations from the Fermat principle and the Abbe sine condition. We solve the mentioned set of equations by implementin...

Full description

Saved in:
Bibliographic Details
Published in:Applied optics (2004) 2021-10, Vol.60 (30), p.9263
Main Author: González-Acuña, Rafael G.
Format: Article
Language:English
Subjects:
Algorithms
Differential equations
Fermat principle
Mathematical analysis
Ray tracing
Runge-Kutta method
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present the exact differential equations to design an aplanatic sequential optical system, a system that is free of spherical aberration and linear coma. We get the exact set of equations from the Fermat principle and the Abbe sine condition. We solve the mentioned set of equations by implementing the Runge–Kutta algorithm. We test the solutions using commercial ray-tracing software and confirm the expected behavior of the optical system.
ISSN:1559-128X
2155-3165
DOI:10.1364/AO.437739