Zernike polynomial
= Zernike polynomial
{c}
{title2=$Z_n^m(\rho,\phi)$}
{wiki=Zernike_polynomials}
The real Zernike polynomials form an <orthogonal polynomial> basis on the unit <Euclidean disk>, with radial factor $R_n^m(\rho)$ and angular factor $\cos m\phi$ or $\sin m\phi$. Here $0\leq m\leq n$ and $n-m$ is <even>. They decompose <wavefront errors> into modes useful for optical correction. Normalizations differ, so coefficients should specify the chosen convention.