ABSTRACT
The FD-TD method actively used at present to meet the challenges of nanophotonics [1, 2] has a long history. Appearing in the middle of the last century, [3] (G. Cron, 1944), the numerical method for solving Maxwell’s equations has gone through several stages of development. Previously, only (S.K. Yee, 1966) [4] published explicit difference equations of a high order of approximation of the initial differential problem in time and space. Implicit finite-difference approximations, characterized by absolute stability, were presented in 1997 [5] by D.L. Golovashkin, A.A. Degtyarev and V.I. Soifer, in 1998 [6] the same authors increased the order approximation in time for the implicit approximation, and in 2000 [7] also in space (Zheng, Chen, Zhang).
