Cone beam neutron interferometry; From modeling to applications

Sarenac, D.*; Gorbet, G.*; Kapahi, C.*; Clark, C. W.*; Cory, D. G.*; Ekinci, H.*; Garrad, D. V.*; Henderson, M. E.*; Huber, M. G.*; Hussey, D.*; Kienzle, P. A.*; Parker, J. D.*; Serret, R.*; Shinohara, Takenao   ; Song, F.; Pushin, D. A.*

Phase-grating moire interferometers (PGMIs) have emerged as promising candidates for the next generation of neutron interferometry, enabling the use of a polychromatic beam and manifesting interference patterns that can be directly imaged by existing neutron cameras. However, the modeling of the various PGMI configurations is limited to cumbersome numerical calculations and backward propagation models which often do not enable one to explore the setup parameters. Here we generalize the Fresnel scaling theorem to introduce a k-space model for PGMI setups illuminated by a cone beam, thus enabling an intuitive forward propagation model for a wide range of parameters and experimental setups.