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...

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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
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description 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.
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source OSA_美国光学学会数据库1
subjects Algorithms
Differential equations
Fermat principle
Mathematical analysis
Ray tracing
Runge-Kutta method
title Exact equations to design aplanatic sequential optical systems
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