# Alternative Interpretation of Lens Aberration on OTF

**Authors:** Yu Bai, Jiaqi Chen, Fangjie Li, Zhenming Zhao

arXiv: 1812.06601 · 2018-12-27

## TL;DR

This paper introduces a non-Fourier transform method to interpret lens aberrations by analyzing cosine fringe interference patterns, aiding optical system design and image quality assessment.

## Contribution

It presents a novel approach to interpret optical aberrations using non-Fourier transform OTF based on interference fringe analysis, differing from traditional Fourier-based methods.

## Key findings

- Provides a new framework for aberration analysis
- Enables phase and brightness distribution calculation
- Assists in optical system design and evaluation

## Abstract

This paper demonstrates a method of interpreting the mechanism of aberration of optical systems based on non-Fourier transform optical transfer function (OTF). According to the parameters of object plane cosine fringe, we obtain the position on the pupil plane of the two beams of the interference pair emitted by the cosine fringes. By combining the aberrations of the lens, the phase of the cosine fringe of each interference pair in the image plane can be obtained. Then the intensity of the cosine fringe formed by all the interference pattern is superimposed to obtain the brightness distribution of the cosine fringe on the image plane. After that, the OTF of the aberration system can be obtained on the basis of the cosine fringe modulation on the image plane and the phase shift. Finally, taking the non-Fourier transform OTF theory with wave analyze the complex optical system, providing help for the optical system design and imaging quality evaluation.

---
Source: https://tomesphere.com/paper/1812.06601