Chuang-Yu Tsai

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A free-form (FF) surface design method is proposed for a general axial-symmetrical collimator system consisting of a light source and a total internal reflection lens with two coupled FF boundary surfaces. The profiles of the boundary surfaces are designed using a FF surface construction method such that each incident ray is directed (refracted and(More)
Utilizing an image orientation change merit function, we prove the finding of Schweitzer et al. [Appl. Opt. 37, 5190 (1998)] that only two types of optically stable reflector system exist, namely, preserving or retroreflecting. We also present an analytical method for designing optically stable reflector systems comprising multiple reflectors. It is shown(More)
We apply the screw triangle method (STM), which was conventionally used in the field of mechanism design, to design a prism to produce a specified image orientation change (IOC). Compared to existing methods [Tsai and Lin, Appl. Opt.45, 3951 (2006); Appl. Opt.46, 3087 (2007)], the proposed method is both simpler and more efficient, since its derivations are(More)
An exact analytical approach is proposed for measuring the six-degree-of-freedom (6-DOF) motion of an object using the image-orientation-change (IOC) method. The proposed measurement system comprises two reflector systems, where each system consists of two reflectors and one position sensing detector (PSD). The IOCs of the object in the two reflector(More)
Snell's law describes the relationship between the incidence angle and reflection (or refraction) angle of a light ray impinging on the interface between two different isotropic media. In this paper, Snell's law is used to derive the unit normal vectors of an aspherical surface given a knowledge of the unit directional vectors of the incoming and outgoing(More)
Optical prisms are most commonly employed because of their ability to output an image of different orientation relative to the input object. Previous papers have presented a systematic but numeric approximation for designing a single prism, which outputs an image with a specific image orientation. Instead of a numerical solution, an exact analytical(More)
The design of a partially optically stable (POS) reflector system, in which the exit ray direction and image pose are unchanged as the reflector system rotates about a specific directional vector, was presented in an earlier study by the current group [Appl. Phys. B100, 883-890 (2010)]. The present study further proposes an optically stable image (OSI)(More)
A set of algorithms is proposed for determining the first-order derivatives of a skew ray with respect to all the independent variables of an aspherical boundary surface in a general 3D optical system. Ellipsoidal, paraboloidal, hyperboloidal, and cylindrical boundary surfaces are given as examples. The proposed method has important applications in the(More)
We present a method of designing a prism to produce an image with a specific orientation. Traditional prism design of this kind is done by trial and error with the aid of geometrical drawing and cannot provide analytical results. Using skew ray tracing sensitivity analysis, we present a merit function that can specify changes in image orientation after the(More)
A light-emitting diode (LED) projection system is proposed, composed of an LED chip and a variable-focus-parabolic (VFP) reflector, in which the focal length varies as a function of the vertical displacement of the incidence point relative to the horizontal centerline of the LED chip. The light-ray paths within the projection system are analyzed using an(More)