Determination of first-order derivatives of skew ray at aspherical surface

作者:Lin Psang Dain*; Tsai Chung Yu
来源:Journal of the Optical Society of America A-Optics Image Science and Vision, 2012, 29(6): 1141-1153.
DOI:10.1364/JOSAA.29.001141

摘要

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 analysis of aspherical surfaces and enables a detailed understanding of a wide variety of optical effects, including reflection and refraction, the modulation transfer function, and aberrations.

  • 出版日期2012-6