Information transfer as a framework for optimized phase imaging

In order to efficiently image a non-absorbing sample (a phase object), dedicated phase contrast optics are required. Typically, these optics are designed with the assumption that the sample is weakly scattering, implying a linear relation between a sample's phase and its transmission function. In the strongly scattering, nonlinear case, the standard optics are ineffective, and the transfer functions used to characterize them are uninformative. We use the Fisher information (FI) to assess the efficiency of various phase imaging schemes and to calculate an information transfer function (ITF). We show that a generalized version of Zernike phase contrast is efficient given sufficient prior knowledge of the sample. We show that with no prior knowledge, a random sensing measurement yields a significant fraction of the available information. Finally, we introduce a generalized approach to common path interferometry that can be optimized to prioritize sensitivity to particular sample features. Each of these measurements can be performed using Fourier lenses and phase masks. (C) 2021 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Automated summary

The importance of dedicated phase contrast optics for imaging non-absorbing samples is discussed in the article. The efficiency of various phase imaging schemes is evaluated using Fisher information, and an information transfer function is calculated. The study shows that generalized Zernike phase contrast with prior knowledge and random sensing measurements are effective methods.