Optimization of optics with micro diffractive optical element via a hybrid Taguchi genetic algorithm

Tung-Kuan Liu; Yi-Chin Fang; Bo-Wen Wu; John MacDonald; Jyh-Horng Chou; Cheng-Mu Tsai; Han-Ching Lin; Wei Teng Lin

doi:10.1117/12.825449

24 August 2009 Optimization of optics with micro diffractive optical element via a hybrid Taguchi genetic algorithm

Tung-Kuan Liu, Yi-Chin Fang, Bo-Wen Wu, John MacDonald, Jyh-Horng Chou, Cheng-Mu Tsai, Han-Ching Lin, Wei Teng Lin

Proceedings Volume 7429, Novel Optical Systems Design and Optimization XII; 74290F (2009) https://doi.org/10.1117/12.825449
Event: SPIE Optical Engineering + Applications, 2009, San Diego, California, United States

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.

Citation Download Citation

Tung-Kuan Liu, Yi-Chin Fang, Bo-Wen Wu, John MacDonald, Jyh-Horng Chou, Cheng-Mu Tsai, Han-Ching Lin, and Wei Teng Lin "Optimization of optics with micro diffractive optical element via a hybrid Taguchi genetic algorithm", Proc. SPIE 7429, Novel Optical Systems Design and Optimization XII, 74290F (24 August 2009); https://doi.org/10.1117/12.825449

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