Molina de la Peña, IgnacioCalvo Padilla, María LuisaFernández Álvarez-Estrada, Ramón2025-10-232025-10-232025-02-24Molina 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/math1305072110.3390/math13050721https://hdl.handle.net/20.500.14352/125338Copyright: ©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.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.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal article2227-7390https//doi.org/10.3390/math13050721https://www.mdpi.com/2227-7390/13/5/721open access51-73535Neutron beams propagationDirichlet boundary conditionsComputational techniquesHolographyFísica-Modelos matemáticosÓptica física, óptica cuántica1206.01 Construcción de Algoritmos2209.19 Óptica Física2207 Física Atómica y Nuclear2209.07 Holografía