Analysis of wave-aberration by use of the wavelet transform

This work discusses the application of the wavelet transform technique for determining the wave aberration coefficients of a rotationally symmetric optical system. The proposed technique is used for polynomial fitting in data analysis. From the numerical example provided, our proposed method is shown to improve the numerical accuracy of the aberration coefficients deduced from the measured data of wave front deformations. Compared with the least-squares matrix inversion method, its performance is more stable under the input of Gaussian white noise. Simulation results are shown for both spherical aberration and defocusing.