RT Journal Article
T1 Neutron optics: new algorithm based on Green's functions for simulating waveguides with Dirichlet boundary conditions
A1 Molina de la Peña, Ignacio
A1 Calvo Padilla, María Luisa
A1 Álvarez Estrada, Ramón F.
AB We present a new, efficient and robust method for computing scalar wave propagation for those cases in which Dirichlet boundary conditions play a key role. The algorithm is versatile and it allows to treat reflection, diffraction, waveguiding regime, scattering and free propagation. The analysis is based upon a representation for a slow neutron wavefunction in terms of the incoming wave and integrals, along the boundaries of an unbounded domain, involving a Green's function and certain auxiliary functions (warranting the Dirichlet boundary conditions). The analysis involves Fourier and Hilbert transforms defined only on the boundaries and enables to exploit the detailed advantages of Fast Fourier Transform (FFT) to perform simulations. Our algorithm proves to be highly effective both in terms in running time and memory load, compared to those based on Finite Differences Methods (FDM). Moreover, since the value of the field at each point may be calculated independently, this algorithm allows parallelization in a natural way. (c) 2021 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )
PB Elsevier Science Inc
SN 0307-904X
YR 2022
FD 2022-01
LK https://hdl.handle.net/20.500.14352/72440
UL https://hdl.handle.net/20.500.14352/72440
LA eng
NO CRUE-CSIC (Acuerdos Transformativos 2021)©2021 The Authors.We acknowledge financial support from Universidad Complutense de Madrid (FECI-EU-17–06) and Ministry of Science and Innovation (Project PGC2018–094684-B-C21), Spain.
NO Ministierio de Ciencia e Innovación (MICINN)
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 4 may 2024