Controlling a ray bundle with a free-form reflector

Hicks, R. Andrew

doi:10.1364/ol.33.001672

Cited by 50 publications

(22 citation statements)

References 4 publications

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“…Thus, the challenge is to find shapes that obtain a wide field of view without distorting the image. R. Andrew Hicks [8][9][10][11][12] presents a new technique for finding such approximations and applies it to the design of a rear-view mirror for an automobile that has no blind spot and minimal distortion. With this method, we design a rear-view mirror with a scale factor of 2.…”

Section: Tool Path Generation For Fts Cutting 31 Design Of a Rear-vimentioning

confidence: 99%

Fast tool servo diamond turning of optical freeform surfaces for rear-view mirrors

Tian

Yin

2015

Int J Adv Manuf Technol

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Optical freeform surfaces have been applied in optoelectronic systems more and more widely, but it is difficult to fabricate this kind of freeform surface optics with high quality and high efficiency. Ultra-precision diamond turning machining technology based on a fast tool servo system is an effective and precise process for fabricating optical freeform surfaces. This paper develops a novel fast tool servo system, which has a total stroke of 30 mm and a maximum acceleration of 920 m/s 2 . In this paper, we develop a theoretical and experimental investigation on the 3D surface generation of a rear-view mirror which is a typical optical freeform surface in single-point diamond tuning using a fast tool servo system. The experimental results are tested and analyzed, which indicate that the performances are satisfied. The field of view obtained by the designed rear-view mirror is much larger than the flat mirror, while the distortion is minimal.

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Section: Tool Path Generation For Fts Cutting 31 Design Of a Rear-vimentioning

confidence: 99%

Fast tool servo diamond turning of optical freeform surfaces for rear-view mirrors

Tian

Yin

2015

Int J Adv Manuf Technol

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“…Smilie et al 37 fabricated a germanium Alvarez lens for infrared imaging under conditions of modern precision optical manufacturing. Hicks 38 developed a ray-tracing method to obtain a discrete data point cloud for a freeform reflector, which was used to design a 45-deg field of view and a lower-distortion driver-side mirror to effectively increase the driver's field of view. Zhu et al 39 presented a direct design method to obtain a discrete data point cloud, which was fitted by XY polynomials for further optimization of an F-theta freeform scanning lens.…”

Section: Applications Of Different Types Of Opticalmentioning

confidence: 99%

Review of optical freeform surface representation technique and its application

Chen

et al. 2017

Opt. Eng

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Abstract. Modern advanced manufacturing and testing technologies allow the application of freeform optical elements. Compared with traditional spherical surfaces, an optical freeform surface has more degrees of freedom in optical design and provides substantially improved imaging performance. In freeform optics, the representation technique of a freeform surface has been a fundamental and key research topic in recent years. Moreover, it has a close relationship with other aspects of the design, manufacturing, testing, and application of optical freeform surfaces. Improvements in freeform surface representation techniques will make a significant contribution to the further development of freeform optics. We present a detailed review of the different types of optical freeform surface representation techniques and their applications and discuss their properties and differences. Additionally, we analyze the future trends of optical freeform surface representation techniques.

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“…In this case the problem under consideration was to use a single mirror to solve the single source problem and it was shown that this was equivalent to the mathematical problem of integrating an over-constrained pair of partial differential equations. A sample application of this problem is the design of a driver-side mirror for a motor vehicle, which has no blind-spot and yet provides the observer with a perspective view of the scene [1,4,5].…”

Section: Introductionmentioning

confidence: 99%

Solution to the bundle-to-bundle mapping problem of geometric optics using four freeform reflectors

Croke

Hicks

2014

J. Opt. Soc. Am. A

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Here we present a method for the coupled design of four free-form reflective surfaces which will control a bundle of rays. By this we mean that given an input bundle of rays, we can construct an optical system that will map it to a given output bundle, where a ray to ray correspondence is realized as per the prescribed data. The method makes use of the Cartan-Kähler theorem of Exterior Differential Systems. Sample imaging applications are given.

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Controlling a ray bundle with a free-form reflector

Cited by 50 publications

References 4 publications

Fast tool servo diamond turning of optical freeform surfaces for rear-view mirrors

Fast tool servo diamond turning of optical freeform surfaces for rear-view mirrors

Review of optical freeform surface representation technique and its application

Solution to the bundle-to-bundle mapping problem of geometric optics using four freeform reflectors

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