RT info:eu-repo/semantics/article
T1 A three‐point compact LOD‐FDTD method for solving the 2D scalar wave equation
A1 Pereda, José A
A1 Grande, Ana
K1 compact finite differences, finite‐difference time‐domain method, locallyone‐dimensional, numerical dispersion, stability, wave equation
K1 2202 Electromagnetismo
K1 2202.07 Interacción de Ondas Electromagnéticas Con la Materia
K1 2202.09 Propagación de Ondas Electromagnéticas
AB This letter introduces anunconditionally stable finite‐difference time domain (FDTD) method, based on the locally one‐dimensional (LOD) technique, for the solution of the two‐dimensional scalar wave equation (WE) inhomogeneous media. The second spatial derivatives in the WE are discretized by using a three‐pointcompact (implicit) finite‐differenceformula with a free parameter. This formula has second‐order accuracy and becomes fourth‐order by properly selecting the parameter value. Moreover, the resulting algorithm only involves tridiagonalmatrices, as when using standard (explicit) second‐order finite differences. Additionally, a stability analysis is performed and the numerical dispersion relation of the method is derived.The proposed compact LOD‐WE‐FDTDtechnique has been applied to the calculation of resonant frequencies in a metallic ridge cavity. The accuracy of the results obtained has been studied as a function of the parameter value.
PB Wiley
SN 0895-2477
YR 2024
FD 2024-05-27
LK https://uvadoc.uva.es/handle/10324/80859
UL https://uvadoc.uva.es/handle/10324/80859
LA spa
NO Microwave and Optical Technology Letters, Mayo 2024, vol. 66, n. 5, p. 1-6.
NO Producción Científica
DS UVaDOC
RD 12-ene-2026