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Physics-based basis functions for low-dimensional representation of the refractive index in the high energy limit

2023/04/25 by Saransh Singh, Singh, Saransh, K. Aditya Mohan +1
Medicine · Physics and Astronomy · #Advanced X-ray Imaging Techniques #Classical Physics (physics.class-ph) #FOS: Electrical engineering #FOS: Physical sciences #Image and Video Processing (eess.IV) #MRI in cancer diagnosis #Medical Imaging Techniques and Applications #Optics (physics.optics) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2306.15673

openalex publication_date 2023/04/25 · openalex created_date 2023/06/30 · openalex updated_date 2026/08/01

Abstract

The relationship between the refractive index decrement, δ, and the real part of the atomic form factor, f^′, is used to derive a simple polynomial functional form for δ(E) far from the K-edge of the element. The functional form, motivated by the underlying physics, follows an infinite power sum, with most of the energy dependence captured by a single term, 1/E2. The derived functional form shows excellent agreement with theoretical and experimentally recorded values. This work helps reduce the dimensionality of the refractive index across the energy range of x-ray radiation for efficient forward modeling and formulation of a well-posed inverse problem in propagation-based polychromatic phase-contrast computed tomography.

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