Related Experiment Video
Updated: May 21, 2026

Determination of Aggregate Surface Morphology at the Interfacial Transition Zone (ITZ)
Published on: December 16, 2019
Determination of first-order derivatives of skew ray at aspherical surface
Psang Dain Lin1, Chung-Yu Tsai
1Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan. pdlin@mail.ncku.edu.tw
Abstract:
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.
Related Concept Videos
Second Derivatives of Implicit Functions
Curve Sketching and Derivatives
Deformation in a Circular Shaft
Slant Asymptotes
Second Derivatives and Laplace Operator
Consider a scalar function. The curl of its...
Area of a Surface of Revolution
