An Unconditionally Stable Higher-Order ADI-FDTD Technique for the Dispersionless Analysis of Generalized 3-D EMC Structures

摘要

An enhanced higher-order 3-D ADI-FDTD algorithm for the accurate and unconditionally stable modeling of complex curvilinear EMC problems, is introduced in this paper. The new technique launches a topologically-consistent family of non-standard concepts which eliminate the serious dispersion errors of the usual ADI-FDTD scheme as time-step increases, and cancel its strong dependence on cell shape or mesh resolution. Thus, temporal increments can greatly exceed the Courant limit with superior stability and convergence levels. To optimize computing, higher-order curvilinear PML absorbers are also developed. Theoretical analysis, along with the numerical verification of diverse structures reveal that the proposed method is highly precise, subdues the vector-parasitic mechanisms of the ADI approach and achieves significant computational savings.