Aberration Analysis of Optical System by Third-order Differential of Rays through Spherical and Flat Surfaces

Abstract

An ideal optical system assumes that the optical boundary has no thickness and the sine function is simplified to its first-order polynomials which is called the paraxial ray tracing equation and the image of this equation is perfect However the actual geometrical optics equation is formed by the Snell equation and its image will occur aberrations The light emitted by the object point is a function of five variables and cannot focus on a single point If you want to create a clear image you need to minimize the aberrations The aberration theory for calculating the main aberration coefficients (known as the B coefficients) was developed by Buchdahl and it requires complicated and difficult iterative calculations Last year our laboratory developed a new calculation method to calculate the aberration coefficients The method expands the light variables of the image plane to the third order of Taylor series but we only had the second-order differential equations for the boundaries then Therefore this paper aims to develop the third-order differential equations of the spherical and plane boundaries so that the B coefficients of the main aberration of light can have an analytical solution This paper also discusses the contribution of the individual boundaries of the axisymmetric system to the B coefficients and compares the analysis results with the Zemax results which proves that the results of the method in both the complete system and individual boundaries are accurate and correct

Date of Award	2020
Original language	English
Supervisor	Psang-Dain Lin (Supervisor)