Analytic phase retrieval method via regional Fourier spectrum superposition.

Area of Science:

• Optics and Photonics
• Image Processing
• Materials Science

Background:

• Phase retrieval is crucial for reconstructing object information from intensity measurements.
• Traditional methods often require iterative algorithms, which can be computationally intensive and time-consuming.

Purpose of the Study:

• To develop a novel, non-iterative analytic phase retrieval method.
• To enable direct calculation of phase differences within different regions of a specimen.
• To provide a new mathematical model for phase retrieval.

Main Methods:

• The proposed method divides the specimen into distinct regions.
• It utilizes regional Fourier spectrum superposition.
• Phase differences are calculated directly from intensity images and their Fourier intensity counterparts.

Main Results:

• The method successfully calculates phase differences between different specimen regions.
• It establishes a linear mathematical model by treating phase retrieval as an interference problem.
• The technique avoids iterative processes, similar to interference imaging.

Conclusions:

• The regional Fourier spectrum superposition method offers an efficient, non-iterative approach to phase retrieval.
• It provides a new perspective and a linear mathematical model for analyzing phase differences.
• This method has potential applications in various scientific fields requiring phase information.