Estimation of phase wave-front aberration distribution function using wavelet transform profilometry

Abstract

Reduction of image quality under the effects of wavefront aberration of the optical system has a direct impact on the vision system's performance. This paper tries to estimate the amount of aberration with the use of wavelet transform profilometry. The basic idea is based on the principle that under aberration effects, the position of the fringes' image on the image plane will change, and this change correlates with the amount of aberration. So the distribution of aberration function can directly be extracted through measuring the amount of changes in the fringes' image on the image plane. Experimental results and the empirical validity of this idea are evaluated.

Phase wavefront aberration modeling using Zernike and pseudo-Zernike polynomials

“…Validation of the proposed solution has been done in the form of a computer simulation based on the method introduced in [9]. This approach is performed based on the estimation of the aberration distribution function through the image of Ronchi fringes based on the wavelet transform profilometry.…”

“…Finally, Fig. 3(f) shows the total recovery of the wavefront aberration distribution based on the solution introduced by [9]. The error rate of the estimation process of the aberration function with respect to the different cumulative Gaussian noise has been studied in Fig.…”

“…In contrast, the second group uses the image that appears on the image plane. To measure aberration, these methods often use certain patterns, such as Ronchi [8,9]. They do not require specific geometrical guided beams.…”

Increasing the stability of the estimation of phase wavefront aberration distribution function through nonlinear adaptive filtering

“…This article provides a solution for nonlinear adaptive filtering of wavelet coefficients with the aim of increasing the stability of the estimation process of phase aberration distribution function, which was introduced in [1,10]. In this regard, it is tried that by finding the optimal threshold, the passband of the filter is determined more precisely, which in turn leads to estimate phase aberration distribution function more accurately.…”

Reconstruction-free sensitive wavefront sensor based on continuous position sensitive detectors

“…Such techniques also can increase the performances of laser material processing [3] and can be used for microscopy [4], nonlinear properties characterization of laser media [5], complete measurement of fiber modal content [6], or fusion applications [7]. Several methods have thus been efficiently developed to record wavefronts: interferometric techniques [8], modal decomposition of the laser beam [9], ray tracing [10], pyramid sensor [11], wavelet-transform profilometry [12], or numerical holograms [13]. However, the most widespread technique is undoubtedly based on the Shack-Hartmann sensor (SHS) [14].…”