Birefringent dispersive FDTD subgridding scheme

• Published in: Electronics letters Vol. 52; no. 17; pp. 1455 - 1457
• Main Authors: De Deckere, B, Van Londersele, A, De Zutter, D, Vande Ginste, D
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 18.08.2016
• Subjects: birefringence; birefringent dispersive FDTD subgridding scheme; coarse grid; Coarsening; Courant limit; Dispersion; dispersion relations; Electronics; Finite difference time domain method; finite difference time‐domain analysis; finite‐difference time‐domain; Information and communications; Mathematical analysis; matrix algebra; matrix equation; Stability; Two dimensional; update equation; coarse grid; dispersion relations; update equation; birefringent dispersive FDTD subgridding scheme; Courant limit; birefringence; matrix equation; finite difference time-domain analysis; finite-difference time-domain; matrix algebra
• ISSN: 0013-5194; 1350-911X; 1350-911X
• DOI: 10.1049/el.2016.1709

A novel 2D finite difference time domain (FDTD) subgridding method is proposed, only subject to the Courant limit of the coarse grid. By making μ or ε inside the subgrid dispersive, unconditional stability is induced at the cost of a sparse, implicit set of update equations. By only adding dispersion along preferential directions, it is possible to dramatically reduce the rank of the matrix equation that needs to be solved.