Fast multiple-scattering holographic tomography based on the wave propagation method

Abstract

We develop a time-efficient computation scheme for a holographic tomography reconstruction technique that accounts for multiple scattering by applying the forward model based on the wave propagation method (WPM). The computational efficiency is achieved by employing adjoint equations for calculation of the gradient of the data fidelity term in the gradient descent optimization procedure. In the paper we provide a general computation scheme that is suitable for various forward models that can be represented in the form of an iterative equation. Next, we provide the complete solution for the time-efficient reconstruction utilizing WPM. In the considered reconstruction case, the proposed algorithm enables the 114-fold speed-up of computations with respect to the original tomographic method.

Recent Advances and Current Trends in Transmission Tomographic Diffraction Microscopy

“…However, it ignores reflection and does not take into account index inhomogeneity in the diffraction operator. This last problem can be addressed with the wave propagation method (WPM) [ 158 , 159 ]: instead of propagating the field in the mean refractive index (first term in Equation ( 29 )), a multiplication by the 2D ( ) refractive map of the current layer is preformed. The price to be paid is an increased complexity ( ) compared to BPM ( ), since FFT cannot be used any more.…”

Dynamic tracking of onion-like carbon nanoparticles in cancer cells using limited-angle holographic tomography with self-supervised learning

“…Digital holographic tomography (DHT) is a powerful quantitative phase imaging technique that enables three-dimensional analysis of a sample's internal structure by measuring its refractive index (RI) distribution [ 9 , 10 ]. Its label-free and non-invasive nature eliminates the need for exogenous markers or dyes [ 11 ], minimizing potential disturbances to the sample caused by photobleaching or phototoxicity.…”

Role of Multiple Scattering in Single Particle Perturbations in Absorbing Random Media

“…Speckle patterns generated by disordered multiple scattering environments have also been shown to depend on the properties of individual scatterers [43,44], such as their position, effective charge or orientation [45][46][47], whilst also providing enhanced sensitivity as compared to single scattering environments [48]. Approaches to extract the position of a single scatterer accounting for multiple scattering effects have thus been developed, for example based on diffusive models of light propagation [49] or extension of single scattering holography localization techniques [50,51]. Recent advances in machine learning moreover present further opportunities to extract information from randomly scattered light, since such approaches do not require a detailed physical model and are hence applicable across a broad range of scattering regimes [52][53][54].…”