Transport of Intensity Phase Retrieval in the Presence of Intensity Variations and Unknown Boundary Conditions

• DOI: 10.48550/arxiv.2401.03744
• Publication Date: 2024-01-01
• Authors: Axel Lubk; R. Kyrychenko; Daniel Wolf; Michael Wegner; Markus Herzog; Matthias Winter; O. Zaiets; Praveen Vir; Johannes Schultz; Claudia Felser; B. Büchner
• Keywords: Intensity; Poisson's equation; Transient (computer programming)

The so-called Transport of Intensity Equation (TIE) phase retrieval technique is widely applied in light, x-ray and electron optics to reconstruct, e.g., refractive indices, electric magnetic fields solids. Here, we present a largely improved TIE reconstruction algorithm, which properly considers intensity variations as well unknown boundary conditions finite difference implementation the partial differential equation. That removes artifacts encountered state-of-the-art Poisson solvers TIE, hence significantly increases applicability technique.