The far-field divergence of a light beam propagating through a first order optical system is presented as a square root of the sum of the squares of the local divergence and the curvature divergence. The local divergence ...
Mafusire, Cosmas; Kruger, T.P.J. (Tjaart)(Optical Society of America, 2018-06)
The concept of orthonormal vector circle polynomials is revisited by deriving a set from the Cartesian gradient of Zernike polynomials in a unit circle using a matrix-based approach. The heart of this model is a closed-form ...
Mafusire, Cosmas; Kruger, T.P.J. (Tjaart)(Optical Society of America, 2017-03)
The concept of orthonormal polynomials is revisited by developing a Zernike-based orthonormal set for a non-circular pupil that is transmitting an aberrated, non-uniform field. We refer to this pupil as a general pupil. ...
Mafusire, Cosmas; Kruger, T.P.J. (Tjaart)(Taylor and Francis, 2020)
We present a derivation of a formula for Zernike-Gauss circle coefficients expressed in terms of Zernike circle coefficients for a circular Gaussian pupil by revisiting a method in which theorthonormal Zernike-Gauss circle ...
