The thesis mainly focuses on the researches of the Alternating Direction Implicit Finite Difference Time Domain(ADI-FDTD) method.First,the two dimensional ADI-FDTD method is introduced.The research on the numerical stability and dispersion of the 2-D ADI-FDTD method are carried on.The Mur and PML absorbing boundary condition of the 2-D ADI-FDTD method are derived and some simulation examples validate the efficiency of this method. An innovative method (A-ADI-FDTD) on reduction of the 2-D ADI-FDTD method's numerical dispersion is proposed. By Adding anisotropic parameters in ADI-FDTD formula, we can control the error attenuation of numerical phase velocity.Then we present the three dimensional ADI-FDTD method and analyze the numerical stablity and dispersion properties of this method.Last,we investigate the unconditional stable finite difference time domain(US-FDTD) method proposeed recently and draw correlative conclusions on its numerical stablity and dispersion character.Our research work is very necessary to enlarge the finite difference time domain(FDTD) method's application areas.
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