RT Journal Article
T1 Computational algorithm based upon Dirichlet boundary conditions: applications to neutron holograms
A1 Molina de la Peña, Ignacio
A1 Calvo Padilla, María Luisa
A1 Fernández Álvarez-Estrada, Ramón
AB Neutron optics is a branch of both neutron physics and quantum physics that focuses on the study of the optical properties of slow neutrons and their dual behavior as both waves and particles. In previous research, we developed a mathematical framework based on Dirichlet boundary conditions to describe the propagation of slow neutrons in space. This approach facilitated the creation of an innovative algorithm distinguished by its computational efficiency and versatility. We applied this algorithm to the digital computation of hologram recording and reconstruction for wavelengths typical of thermal neutrons. The results demonstrate that the algorithm provides significant advantages, including rapid computation and broad applicability. It effectively handles scenarios analogous to those encountered in classical holography and shows promise for extension to other areas of physical interest.
PB MDPI
YR 2025
FD 2025-02-24
LK https://hdl.handle.net/20.500.14352/125338
UL https://hdl.handle.net/20.500.14352/125338
LA eng
NO Molina de la Peña, I.; Calvo, M.L.; Alvarez-Estrada, R.F. Computational Algorithm Based upon Dirichlet Boundary Conditions: Applications to Neutron Holograms. Mathematics 2025, 13, 721. https:// doi.org/10.3390/math13050721
NO Copyright: ©2025by the authors.Funding: This research received no external funding. One of the authors (R.F.A.-E.) is related to project with grant PID2022-136374NB-C21, funded by MCIN/AEI/10.13039/501100011033.FEDER/UE.
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Agencia Estatal de Investigación (España)
NO European Commission
DS Docta Complutense
RD 21 mar 2026