Bokil, V.A. and Gibson, N.L. (2011) Analysis of Spatial High-Order Finite Difference Methods for Maxwell’s Equations in Dispersive Media. IMA Journal of Numerical Analysis, 32, 926-956.
https://doi.org/10.1093/imanum/drr001

has been cited by the following article:

• TITLE: High-Order Spatial FDTD Solver of Maxwell’s Equations for Terahertz Radiation Production

  AUTHORS: Abdelrahman Mahdy

  KEYWORDS: The Finite-Difference-Time-Domain, Terahertz Radiation Production, Filamentation of Femtosecond Laser, Maxwell’s Equations Solution

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.4, April 11, 2024

  ABSTRACT: We applied a spatial high-order finite-difference-time-domain (HO-FDTD) scheme to solve 2D Maxwell’s equations in order to develop a fluid model employed to study the production of terahertz radiation by the filamentation of two femtosecond lasers in air plasma. We examined the performance of the applied scheme, in this context, we implemented the developed model to study selected phenomena in terahertz radiation production, such as the excitation energy and conversion efficiency of the produced THz radiation, in addition to the influence of the pulse chirping on properties of the produced radiation. The obtained numerical results have clarified that the applied HO-FDTD scheme is precisely accurate to solve Maxwell’s equations and sufficiently valid to study the production of terahertz radiation by the filamentation of two femtosecond lasers in air plasma.