Chuang-Yu Tsai

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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)
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)
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)
Current commercial software for analysis and design of optical systems use finite difference (FD) approximation methodology to estimate the gradient matrix of a ray with respect to system variables. However, FD estimates are intrinsically inaccurate, subject to gross error when the denominator is excessively small relative to the numerator. We avoid these(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)
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)
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)
Conventional paraxial ray-tracing procedures are widely used for optical systems design and analysis. However, they are not applicable to multiple-dispersion-prism systems. Accordingly, the present study simplifies the equations given by the present group in a previous paper [Optik117, 329 (2006)OTIKAJ0030-402610.1016/j.ijleo.2005.10.004] to the form of 3×3(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)
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)