CHINESE JOURNAL OF PHYSICS VOL. 40, NO. 1 FEBRUARY 2002

Analysis of Wave-Aberration by Use of the Wavelet Transform

Jin-Yi Sheu^1,2, Rong-Seng Chang¹, Ching-Huang Lin^1,3, and Ping-Lin Fan<sup>1,2

1</sup>Institute of Optical Sciences, National Central University, Chung-Li, Taiwan 320, R.O.C.

²Department of Electric Engineering, Kwang Wu Institute of Technology,
151, I-Te St, Peitou, Taipei, Taiwan 112, R.O.C

³Department of Chemical Engineering, Hua Hsia College of Technology and Commerce,

111, Hwa-Hsin St, Chung Ho, Taipei, Taiwan 235, R.O.C.
(Received August 28, 2001)

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.

PACS. 42.15.Dp - Wave fronts and ray tracing.
PACS. 42.15.Fr - Aberrations.

Full Text | Next Article | Previous Article | Contents | CJP mainpage