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Proceedings Paper

Optimization of optics with micro diffractive optical element via a hybrid Taguchi genetic algorithm
Author(s): Tung-Kuan Liu; Yi-Chin Fang; Bo-Wen Wu; John MacDonald; Jyh-Horng Chou; Cheng-Mu Tsai; Han-Ching Lin; Wei Teng Lin
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Paper Abstract

This paper proposes a new method for optimization optics with a diffractive optical element (DOE) via a Hybrid Taguchi Genetic Algorithm. A Diffractive Optical Element, based the theory of wave phase difference, takes advantage of the negative Abbe number which might significantly eliminate the axial chromatic aberrations of optics. Following the advanced technology applied to the micro lens and etching process, precisely-made micro DOEs can now be manufactured in large numbers. However, traditional least damping square has its limitations for the optimization of axial and chromatic aberrations with DOE. In this research, we adopted the genetic algorithm (GA) and incorporated the steady Taguchi method into GA. Combining the two methods produced a new hybrid Taguchi-genetic algorithm (HTGA). Suitable glass combinations and DOE positions were selected to minimize both axial and lateral chromatic aberration in the optical system. This new method carries out the task of eliminating both axial and lateral chromatic aberration, unlike DOE optimization by LDS, which works for axial aberration only and with less efficiency. Experiments show that the surface position of the DOE could be determined first; in addition, regardless of whether chromatic aberration was axial or longitudinal, issues concerning the optical lens's chromatic aberration could be significantly reduced, compared to results from the traditional least damping square (LDS) method.

Paper Details

Date Published: 24 August 2009
PDF: 20 pages
Proc. SPIE 7429, Novel Optical Systems Design and Optimization XII, 74290F (24 August 2009); doi: 10.1117/12.825449
Show Author Affiliations
Tung-Kuan Liu, National Kaohsiung First Univ. of Science and Technology (Taiwan)
Yi-Chin Fang, National Kaohsiung First Univ. of Science and Technology (Taiwan)
Bo-Wen Wu, National Kaohsiung First Univ. of Science and Technology (Taiwan)
John MacDonald, The Univ. of Reading (United Kingdom)
Jyh-Horng Chou, National Kaohsiung First Univ. of Science and Technology (Taiwan)
Cheng-Mu Tsai, Kun Shan Univ. (Taiwan)
Han-Ching Lin, National Kaohsiung First Univ. of Science and Technology (Taiwan)
Wei Teng Lin, National Kaohsiung First Univ. of Science and Technology (Taiwan)


Published in SPIE Proceedings Vol. 7429:
Novel Optical Systems Design and Optimization XII
R. John Koshel; G. Groot Gregory, Editor(s)

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