Three-dimensional model of a split-crystal x-ray and neutron interferometer

TL;DR

This paper develops a comprehensive three-dimensional dynamical-theory model for split-crystal x-ray and neutron interferometers, enabling better design and understanding of their interference patterns and fringe visibility.

Contribution

It introduces a novel 3D mathematical framework for analyzing split-crystal interferometers, including effects of coherent and incoherent illumination.

Findings

Model accurately predicts interference fringe visibility.

Framework accommodates both coherent and incoherent sources.

Supports design optimization for large-arm interferometers.

Abstract

The observation of neutron interference by using a crystal interferometer having a separate analyser opens the way to the construction and operation of interferometers with vast arm separation and length. Setting the design specifications requires a three-dimensional dynamical-theory model of their operation. In this paper, we develop the needed three-dimensional mathematical framework, which also comprises coherent and incoherent illuminations, and apply it to study the visibility of the interference fringes.