光通信技术2025，Vol.49Issue(3)：40-46,7.DOI:10.13921/j.cnki.issn1002-5561.2025.03.007
光学像差的Zernike多项式描述研究进展
Research progress on the Zernike polynomial description of optical aberrations
摘要
Abstract
The imaging quality of optical systems is affected by aberrations caused by deviations between the actual optical path and the ideal optical path.Zernike polynomials,as an effective tool for describing aberrations,can describe and analyze the char-acteristics of optical aberrations.This paper reviews the research progress at home and abroad,and focuses on analyzing the mathematical expression forms of standard Zernike polynomials,Zernike circular polynomials,and Zernike annular polynomials,clarifying their corresponding relationships with typical aberrations such as spherical aberration,coma,and astigmatism.Research shows that Zernike circular polynomials can efficiently represent the distribution of axisymmetric aberrations through the charac-teristics of orthogonal basis functions in polar coordinates,while annular polynomials are suitable for describing off-axis aberra-tions.关键词
Zernike多项式/像差/光学系统/像差描述Key words
Zernike polynomial/aberration/optical system/aberration description分类
信息技术与安全科学引用本文复制引用
祝战科,吴培洁,吴加丽,柯程虎,柯熙政..光学像差的Zernike多项式描述研究进展[J].光通信技术,2025,49(3):40-46,7.基金项目
国家自然科学基金面上项目(61377080)资助 （61377080）
陕西省重点产业创新项目(2017ZDCXL-GY-06-01)资助. （2017ZDCXL-GY-06-01）
