Instability of Solution of Phase Retrieval in Direct Diffraction Phase-Contrast Imaging with Partially Coherent X-Ray Source
GUO Hua1,2, HAN Shen-Sheng1
¹Key Laboratory for Quantum Optics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800
²College of Mathematics, Jilin University, Changchun 130012
Instability of Solution of Phase Retrieval in Direct Diffraction Phase-Contrast Imaging with Partially Coherent X-Ray Source
GUO Hua1,2;HAN Shen-Sheng1
¹Key Laboratory for Quantum Optics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800
²College of Mathematics, Jilin University, Changchun 130012
Abstract： The theoretical model of direct diffraction phase-contrast imaging with partially coherent x-ray source is expressed by an operator of multiple integral. It is presented that the integral operator is linear. The problem of its phase retrieval is described by solving an operator equation of multiple integral. It is demonstrated that the solution of the phase retrieval is unstable. The numerical simulation is performed and the result validates that the solution of the phase retrieval is unstable.
GUO Hua;HAN Shen-Sheng. Instability of Solution of Phase Retrieval in Direct Diffraction Phase-Contrast Imaging with Partially Coherent X-Ray Source[J]. 中国物理快报, 2006, 23(12): 3259-3262.
GUO Hua, HAN Shen-Sheng. Instability of Solution of Phase Retrieval in Direct Diffraction Phase-Contrast Imaging with Partially Coherent X-Ray Source. Chin. Phys. Lett., 2006, 23(12): 3259-3262.
2006, Vol. 23 
