Field curvature correction method for ultrashort throw ratio projection optics design using an odd polynomial mirror surface

This paper presents a field curvature correction method of designing an ultrashort throw ratio (TR) projection lens for an imaging system. The projection lens is composed of several refractive optical elements and an odd polynomial mirror surface. A curved image is formed in a direction away from th...

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Main Authors: Zhuang, Zhenfeng, Chen, Yanting, Yu, Feihong, Sun, Xiaowei
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2014
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Online Access:https://hdl.handle.net/10356/104961
http://hdl.handle.net/10220/20441
http://dx.doi.org/10.1364/AO.53.000E69
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1049612019-12-06T21:43:35Z Field curvature correction method for ultrashort throw ratio projection optics design using an odd polynomial mirror surface Zhuang, Zhenfeng Chen, Yanting Yu, Feihong Sun, Xiaowei School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering::Optics, optoelectronics, photonics This paper presents a field curvature correction method of designing an ultrashort throw ratio (TR) projection lens for an imaging system. The projection lens is composed of several refractive optical elements and an odd polynomial mirror surface. A curved image is formed in a direction away from the odd polynomial mirror surface by the refractive optical elements from the image formed on the digital micromirror device (DMD) panel, and the curved image formed is its virtual image. Then the odd polynomial mirror surface enlarges the curved image and a plane image is formed on the screen. Based on the relationship between the chief ray from the exit pupil of each field of view (FOV) and the corresponding predescribed position on the screen, the initial profile of the freeform mirror surface is calculated by using segments of the hyperbolic according to the laws of reflection. For further optimization, the value of the high-order odd polynomial surface is used to express the freeform mirror surface through a least-squares fitting method. As an example, an ultrashort TR projection lens that realizes projection onto a large 50 in. screen at a distance of only 510 mm is presented. The optical performance for the designed projection lens is analyzed by ray tracing method. Results show that an ultrashort TR projection lens modulation transfer function of over 60% at 0.5 cycles/mm for all optimization fields is achievable with f-number of 2.0, 126° full FOV, <1% distortion, and 0.46 TR. Moreover, in comparing the proposed projection lens’ optical specifications to that of traditional projection lenses, aspheric mirror projection lenses, and conventional short TR projection lenses, results indicate that this projection lens has the advantages of ultrashort TR, low f-number, wide full FOV, and small distortion. Published version 2014-09-01T02:27:31Z 2019-12-06T21:43:35Z 2014-09-01T02:27:31Z 2019-12-06T21:43:35Z 2014 2014 Journal Article Zhuang, Z., Chen, Y., Yu, F., & Sun, X. (2014). Field curvature correction method for ultrashort throw ratio projection optics design using an odd polynomial mirror surface. Applied Optics, 53(22), E69-E76. https://hdl.handle.net/10356/104961 http://hdl.handle.net/10220/20441 http://dx.doi.org/10.1364/AO.53.000E69 en Applied optics © 2014 Optical Society of America. This paper was published in Applied Optics and is made available as an electronic reprint (preprint) with permission of Optical Society of America. The paper can be found at the following official DOI: [http://dx.doi.org/10.1364/AO.53.000E69]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. application/pdf
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic DRNTU::Engineering::Electrical and electronic engineering::Optics, optoelectronics, photonics
spellingShingle DRNTU::Engineering::Electrical and electronic engineering::Optics, optoelectronics, photonics
Zhuang, Zhenfeng
Chen, Yanting
Yu, Feihong
Sun, Xiaowei
Field curvature correction method for ultrashort throw ratio projection optics design using an odd polynomial mirror surface
description This paper presents a field curvature correction method of designing an ultrashort throw ratio (TR) projection lens for an imaging system. The projection lens is composed of several refractive optical elements and an odd polynomial mirror surface. A curved image is formed in a direction away from the odd polynomial mirror surface by the refractive optical elements from the image formed on the digital micromirror device (DMD) panel, and the curved image formed is its virtual image. Then the odd polynomial mirror surface enlarges the curved image and a plane image is formed on the screen. Based on the relationship between the chief ray from the exit pupil of each field of view (FOV) and the corresponding predescribed position on the screen, the initial profile of the freeform mirror surface is calculated by using segments of the hyperbolic according to the laws of reflection. For further optimization, the value of the high-order odd polynomial surface is used to express the freeform mirror surface through a least-squares fitting method. As an example, an ultrashort TR projection lens that realizes projection onto a large 50 in. screen at a distance of only 510 mm is presented. The optical performance for the designed projection lens is analyzed by ray tracing method. Results show that an ultrashort TR projection lens modulation transfer function of over 60% at 0.5 cycles/mm for all optimization fields is achievable with f-number of 2.0, 126° full FOV, <1% distortion, and 0.46 TR. Moreover, in comparing the proposed projection lens’ optical specifications to that of traditional projection lenses, aspheric mirror projection lenses, and conventional short TR projection lenses, results indicate that this projection lens has the advantages of ultrashort TR, low f-number, wide full FOV, and small distortion.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Zhuang, Zhenfeng
Chen, Yanting
Yu, Feihong
Sun, Xiaowei
format Article
author Zhuang, Zhenfeng
Chen, Yanting
Yu, Feihong
Sun, Xiaowei
author_sort Zhuang, Zhenfeng
title Field curvature correction method for ultrashort throw ratio projection optics design using an odd polynomial mirror surface
title_short Field curvature correction method for ultrashort throw ratio projection optics design using an odd polynomial mirror surface
title_full Field curvature correction method for ultrashort throw ratio projection optics design using an odd polynomial mirror surface
title_fullStr Field curvature correction method for ultrashort throw ratio projection optics design using an odd polynomial mirror surface
title_full_unstemmed Field curvature correction method for ultrashort throw ratio projection optics design using an odd polynomial mirror surface
title_sort field curvature correction method for ultrashort throw ratio projection optics design using an odd polynomial mirror surface
publishDate 2014
url https://hdl.handle.net/10356/104961
http://hdl.handle.net/10220/20441
http://dx.doi.org/10.1364/AO.53.000E69
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