Neutron optics: new algorithm based on Green's functions for simulating waveguides with Dirichlet boundary conditions

Impacto

Downloads

Downloads per month over past year

Molina de la Peña, Ignacio and Calvo Padilla, María Luisa and Álvarez Estrada, Ramón F. (2022) Neutron optics: new algorithm based on Green's functions for simulating waveguides with Dirichlet boundary conditions. Applied mathematical modelling, 101 . pp. 694-715. ISSN 0307-904X

[thumbnail of CalvoML138libre+CC.pdf]
Preview
PDF
Creative Commons Attribution Non-commercial No Derivatives.

5MB

Official URL: http://dx.doi.org/10.1016/j.apm.2021.09.007




Abstract

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/ )


Item Type:Article
Additional Information:

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.

Uncontrolled Keywords:Propagation; Fibers; Domain; Beams
Subjects:Sciences > Physics > Optics
ID Code:68772
Deposited On:17 Nov 2021 17:16
Last Modified:18 Feb 2022 12:56

Origin of downloads

Repository Staff Only: item control page