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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 22 — Aug. 1, 2014
  • pp: E69–E76

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

Zhenfeng Zhuang, Yanting Chen, Feihong Yu, and Xiaowei Sun  »View Author Affiliations


Applied Optics, Vol. 53, Issue 22, pp. E69-E76 (2014)
http://dx.doi.org/10.1364/AO.53.000E69


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Abstract

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.

© 2014 Optical Society of America

OCIS Codes
(120.4570) Instrumentation, measurement, and metrology : Optical design of instruments
(220.4830) Optical design and fabrication : Systems design
(080.4225) Geometric optics : Nonspherical lens design

History
Original Manuscript: February 24, 2014
Revised Manuscript: July 19, 2014
Manuscript Accepted: July 21, 2014
Published: August 1, 2014

Citation
Zhenfeng Zhuang, Yanting Chen, Feihong Yu, and Xiaowei Sun, "Field curvature correction method for ultrashort throw ratio projection optics design using an odd polynomial mirror surface," Appl. Opt. 53, E69-E76 (2014)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-53-22-E69

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