The Unconditionally Stable Associated Hermite FDTD Method With Thin Wire Modeling

In this letter, the unconditionally stable (US) associated Hermite finite-difference time-domain (AH FDTD) method is developed to analyze the thin wire in low-frequency cases. The contour-path formulation from Faraday's law combined with the associated Hermite (AH) domain operators is applied to update the coefficient matrix equation of the 3-D AH FDTD method to obtain the final solution for the thin wire modeling oriented along the Cartesian axes. To verify the proposed method, for the case in low frequency especially, two examples are set up by dipole antenna and square loop antenna, which show an efficiency enhancement, as high as a factor of 3-16, to conventional FDTD method while keeping a good accuracy.