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optics

泽尼克多项式

Zernike polynomials

A set of orthogonal polynomials defined on a unit disk, commonly used to describe wavefront aberrations in optical systems. / 泽尼克多项式是一组定义在单位圆盘上的正交多项式,常用于描述光学系统中的波前像差。

Knowledge type
数学理论
First proposed or discovered
Proposer
Turkey Farm member
Creator
农场主
Last updated
2026-10-31 23:06:13
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Sub-knowledge points

Cylindrical coordinates representationOrthogonality over the unit circleZernike circle polynomialsZernike annular polynomials

Higher-order knowledge points

Wavefront sensingAdaptive opticsOptical system design

Main parameters and performance indicators

n: radial order (non-negative integer)m: azimuthal frequency (integer, |m| ≤ n)p: radial polynomial index (0 or 1)

Open problems

No unresolved problem recorded yet

Related literature

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Stable estimation of selected full-aperture Zernike coefficients from a single circular subaperture for flat-mirror metrologyOpen source

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Creation and modification trail

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automated knowledge publish农场主2026-10-31 23:06:13

Record title: Zernike polynomials.