| Summary: | 碩士 === 國立成功大學 === 機械工程學系碩博士班 === 101 === This study constructs a new method for skew ray tracing by using homogeneous coordinate transformation matrix. The optical systems model matrix to construct a complete theory of ray tracing. In general, the optical path length and ray at the boundary surface in an optical system can be computed using a skew-ray tracing approach. The derivatives of Optical Path Length and ray can be obtained using either Finite Difference approximation methods or differential methods. However, the refraction and reflection equations in optical systems have a high degree of nonlinearity, and thus computing the derivative quantities is time-consuming and cumbersome. Therefore, a mathematical method developed by determining the Jacobin matrix of OPL with respect to system variable such that the change of OPL due to the changes of system variables. The proposed method applied in some wavefront-splitting interferometers, examples include the Fresnel double mirror and Fresnel’s prism.
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