Determination of first-order derivatives of skew ray at aspherical surface.
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.
Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan. pdlin@mail.ncku.edu.tw
Psang Dain
PD
Lin
Chung-Yu
CY
Tsai