Joint finite - difference solution of the D'alembert and Maxwell's equations. Two - dimensional case

The technique of searching of the collateral finite - difference solution of a wave equation and set of equations of Maxwell is offered, allowing to combine advantage and to avoid shortcomings of both made mention numerical methods of nanophotonics (to reduce expenses of memory and to apply well-known TF/SF and PML techniques). In a two - dimensional case on test examples convergence of such decision, possibility of imposing of PML-ayers and a task of an incident wave on the TF/SF technology are shown.