Radial-balanced phase transfer functions for accurate retrieval in quantitative differential phase contrast...

Area of Science:

• Optical Microscopy
• Quantitative Phase Imaging (QPI)
• Biomedical Optics

Background:

• Quantitative differential phase contrast microscopy (qDPC) is a high-resolution, rapid imaging technique for biological applications.
• Current qDPC methods use asymmetric illumination and Tikhonov regularization, with ongoing efforts to improve performance.
• A theoretical link between illumination patterns and the phase transfer function (PTF) radial profile in qDPC is missing, hindering optimal phase retrieval.

Purpose of the Study:

• To establish a rigorous theoretical framework correlating illumination patterns with the PTF radial profile in qDPC.
• To design a novel illumination pattern for precise phase retrieval based on a desired PTF.
• To demonstrate the superiority of the proposed qDPC method over existing techniques.

Main Methods:

• Mathematical derivation of the correlation between illumination patterns and the PTF radial profile.
• Design of a new illumination pattern optimized for precise phase retrieval.
• Validation through numerical simulations with a custom phase object and experimental verification with phase targets.

Main Results:

• The study successfully derived the theoretical link between illumination patterns and the PTF radial profile.
• Numerical computations showed the proposed method achieves higher phase retrieval accuracy compared to existing qDPC techniques.
• Experimental results corroborated the numerical findings, confirming the advancement of the developed approach.

Conclusions:

• The developed theoretical framework and novel illumination pattern significantly enhance qDPC performance.
• This approach enables more precise phase retrieval in quantitative phase imaging.
• The findings represent a substantial advancement in qDPC microscopy for biological applications.