title: Transport of intensity phase imaging from multiple intensities measured in unequally-spaced planes.
abstract: A method based on the transport of intensity equation (TIE) for phase retrieval is presented, which can retrieve the optical phase from intensity measurements in multiple unequally-spaced planes in the near-field region. In this method, the intensity derivative in the TIE is represented by a linear combination of intensity measurements, and the coefficient of the combination can be expressed by explicitly analytical form related to the defocused distances. The proposed formula is a generalization of the TIE with high order intensity derivatives. The numerical experiments demonstrate that the proposed method can improve the accuracy of phase retrieval with higher-order intensity derivatives and is more convenient for practical application.
authors: School of Astronautics, Beihang University, Beijing 100191, China. xuebd@buaa.edu.cn
authors: Bindang
authors: B
authors: Xue
authors: Shiling
authors: S
authors: Zheng
authors: Linyan
authors: L
authors: Cui
authors: Xiangzhi
authors: X
authors: Bai
authors: Fugen
authors: F
authors: Zhou
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D005583:Fourier Analysis; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D015233:Models, Statistical; D008962:Models, Theoretical; D055095:Optics and Photonics; D015203:Reproducibility of Results