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http://dx.doi.org/10.3807/KJOP.2005.16.5.423

Curvature Linear Equation of a Two-Mirror System with a Finite Object Distance  

Lee, Jung-Gee (Department of Applied Optics and Electro-magnetics, Hannam University)
Rim, Cheon-Seog (Department of Applied Optics and Electro-magnetics, Hannam University)
Publication Information
Korean Journal of Optics and Photonics / v.16, no.5, 2005 , pp. 423-427 More about this Journal
Abstract
In this paper, we propose easily tooling method for Seidel third order aberration, which are not well utilized in actual design process due to the complication of mathematical operation and the difficulty of understanding Seidel third order aberration theory, even though most insightful and systematic means in pre-designing for the initial data of optimization. First, using paraxial ray tracing and Seidel third order aberration theory, spherical aberration coefficient is derived for a two-mirror system with a finite object distance. The coefficient, which is expressed as a higher-order nonlinear equation, consists of design parameters(object distance, two curvatures, and inter-mirror distance) and effective focal length(EFL). Then, the expressed analytical equation is solved by using a computer with numerical analysis method. From the obtained numerical solutions satisfying the nearly zero coefficient condition($<10^{-6}$), linear fitting process offers a linear relationship called the curvature linear equation between two mirrors. Consequently, this linear equation has two worthy meanings: the equation gives a possibility to obtain initial design data for optimization easily. And the equation shows linear relationship to a two-mirror system with a finite object distance under the condition of corrected third order spherical aberration.
Keywords
Two mirror system; Seidel third order aberration; Spherical aberration; Initial design; Curvature linear equation;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
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