title: Method for estimating the axial intensity derivative in the TIE with higher order intensity derivatives and noise suppression.
abstract: It is an effective scheme to the phase retrieval for axial intensity derivative computing. In this paper, we demonstrate a method for estimating the axial intensity derivative and improving the calculation accuracy in the transport of intensity equation (TIE) from multiple intensity measurements. The method takes both the higher-order intensity derivatives and the noise into account, and minimizes the impact of detecting noise. The simulation results demonstrate that the proposed method can effectively reduce the error of intensity derivative computing.
authors.affiliation: Wuhan National Laboratory for Optoelectronics, College of Optoelectronic Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China.
authors.forename: Rui
authors.initials: R
authors.lastname: Bie
authors.forename: Xiu-Hua
authors.initials: XH
authors.lastname: Yuan
authors.forename: Ming
authors.initials: M
authors.lastname: Zhao
authors.forename: Li
authors.initials: L
authors.lastname: Zhang
mesh_terms: D000465:Algorithms; D016477:Artifacts; D003198:Computer Simulation; D008962:Models, Theoretical; D010783:Photometry / Q000379:methods*; D059629:Signal-To-Noise Ratio