A Novel Efficient Nonstandard High-Order Finite-Difference Time-Domain Method Based on Dispersion Relation Analysis

摘要

A novel approach to get new high-order nonstandard finite-difference time-domain methods is proposed. By using different coefficients in electric field and magnetic field update equations, schemes up to order (2, 8) are derived. These new methods maintain comparable accuracy to the conventional high-order finite-difference time-domain counterparts while a reduction in computational cost is achieved. The dispersion and anisotropic behaviors of these new methods are investigated. Some numerical examples are studied to examine the accuracy and efficiency of the new method.