DIRECT DERIVATIONS OF TLM SYMMETRICAL CONDENSED NODE AND HYBRID SYMMETRICAL CONDENSED NODE FROM MAXWELLS EQUATIONS USING CENTERED DIFFERENCING AND AVERAGING

This paper presented direct derivations of the TLM symmetrical condens ed node (SCN) and hybrid symmetrical condensed node (HSCN) from Maxwel l's equations by using centered differencing and averaging. Direct cor respondence between the TLM and finite difference method is establishe d. The node scattering matrices and field expressions are given for th e general case with graded mesh and anisotropic materials including bo th electric and magnetic losses. It is found that the TLM SCN and HSCN always have 2nd-order accuracy regardless of a uniform or graded mesh discretization of the space.