@article{10902/34199,
year = {2024},
month = {5},
url = {https://hdl.handle.net/10902/34199},
abstract = {This letter introduces an unconditionally 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) in homogeneous media. The second spatial derivatives in the WEare discretized by using a three-point compact (implicit) finite-differenceformula with a free parameter. This formula has second-order accuracyand becomes fourth-order by properly selecting the parameter value.Moreover, the resulting algorithm only involves tridiagonal matrices, aswhen using standard (explicit) second-order finite differences. Addition-ally, a stability analysis is performed and the numerical dispersionrelation of the method is derived. The proposed compact LOD-WE-FDTDtechnique has been applied to the calculation of resonant frequencies in ametallic ridge cavity. The accuracy of the results obtained has beenstudied as a function of the parameter value.},
organization = {This study was supported in part by the Spanish Government (MCIU/AEI) and the European Commission (FEDER, UE) under Research Projects PGC2018‐098350‐B‐C21, PGC2018‐098350‐B‐C22, and PID2022‐137619NB‐I00.},
publisher = {John Wiley and Sons Inc.},
publisher = {Microwave and Optical Technology Letters, 2024, 66(5), 34201},
title = {A three-point compact LOD-FDTD method for solving the 2D scalar wave equation},
author = {Pereda Fernández, José Antonio and Grande Sáez, Ana María},
}