Open Access
21 August 2017 Practical method for evaluating optical image defects caused by center artifacts
Takao Tanabe, Masato Shibuya, Kazuhisa Maehara
Author Affiliations +
Abstract
In modern optical element manufacturing, center artifacts are a common problem. A center artifact is a shape error that is rotationally symmetrical, steep, and localized at the center. These properties cause characteristic image defects different from those caused by ordinary irregularities. However, tolerancing center artifacts has not been fully discussed or properly carried out. We propose a simple mathematical model for center artifacts using normal distribution function as a figure model and showing that this function can be represented by a polynomial including odd-order terms. Our method enables appropriate optical simulation and tolerancing for center artifacts using general optical design software.
CC BY: © The Authors. Published by SPIE under a Creative Commons Attribution 4.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.
Takao Tanabe, Masato Shibuya, and Kazuhisa Maehara "Practical method for evaluating optical image defects caused by center artifacts," Optical Engineering 56(8), 085103 (21 August 2017). https://doi.org/10.1117/1.OE.56.8.085103
Received: 11 May 2017; Accepted: 27 July 2017; Published: 21 August 2017
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CITATIONS
Cited by 3 scholarly publications.
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KEYWORDS
Statistical analysis

Zernike polynomials

Modulation transfer functions

Mathematical modeling

Image analysis

Tolerancing

Point spread functions

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