Method to design two aspheric surfaces for a wide field of view imaging system with low distortion.

This paper presents a distortion correction method for designing a wide field of view (FOV) lens for an imaging system. The lens is composed of two aspheric surfaces and several spheres. In the preliminary design, profiles of the aspheric surfaces can be obtained according to aplanatism, refraction law, and polynomial fitting methods, where the numeric computation, the differential geometry computation, and the polynomial fitting algorithm are stated in detail. Then the lens is optimized by the damped least squares method. Theoretically, this method cannot eliminate aberrations absolutely but can balance some kinds of aberrations to the image well. Furthermore, a projector lens with a wide FOV, low distortion, and low throw ratio [TR = (projection distance)/(image diagonal size)] is designed successfully by this method.

[1]  E. Wolf,et al.  On the Theory of Aplanatic Aspheric Systems , 1949 .

[2]  Joseph Meiron,et al.  Damped Least-Squares Method for Automatic Lens Design , 1965 .

[3]  Edward H. Twizell.  The Numerical Solution of Second Order Hyperbolic Partial Differential Equations with Unequally Spaced Initial Conditions , 1975, Comput. J..

[4]  A. Prata,et al.  Algorithm for computation of Zernike polynomials expansion coefficients. , 1989, Applied optics.

[5]  G. Forbes,et al.  Shape specification for axially symmetric optical surfaces. , 2007, Optics express.

[6]  Chih-Ming Wang,et al.  High efficiency pocket-size projector with a compact projection lens and a light emitting diode-based light source system. , 2008, Applied optics.

[7]  Xu Liu,et al.  Design of reflective projection lens with Zernike polynomials surfaces , 2008, Displays.

[8]  Wang Lin,et al.  An application of the SMS method for imaging designs. , 2009, Optics express.

[9]  Kuang-Lung Huang,et al.  LED lighting module design based on a prescribed candle-power distribution for uniform illumination , 2010, SPIE/COS Photonics Asia.

[10]  Xu Liu,et al.  Design and fabrication of an off-axis see-through head-mounted display with an x-y polynomial surface. , 2010, Applied optics.

[11]  K. Thompson,et al.  A new family of optical systems employing φ-polynomial surfaces. , 2011, Optics express.

[12]  Ilhan Kaya,et al.  Comparative assessment of freeform polynomials as optical surface descriptions. , 2012, Optics express.

[13]  Xu Liu,et al.  Method to design two aspheric surfaces for imaging system. , 2013, Applied optics.

[14]  Zhenfeng Zhuang,et al.  Field curvature correction method for ultrashort throw ratio projection optics design using an odd polynomial mirror surface. , 2014, Applied optics.

[15]  Methods of solving aspheric singlets and cemented doublets with given primary aberrations. , 2014, Applied optics.

[16]  Gregg E. Davis,et al.  Assembly of a freeform off-axis optical system employing three φ-polynomial Zernike mirrors. , 2014, Optics letters.

[17]  Jannick P Rolland,et al.  Visual space assessment of two all-reflective, freeform, optical see-through head-worn displays. , 2014, Optics express.

[18]  Hong Hua,et al.  High-resolution optical see-through multi-focal-plane head-mounted display using freeform optics. , 2014, Optics express.

[19]  Tong Yang,et al.  Direct design of freeform surfaces and freeform imaging systems with a point-by-point three-dimensional construction-iteration method. , 2015, Optics express.