Validity Research On Parameter Selection For Finite Difference Time Domain Based On2-D TE Wave

The paper uses the current relatively mainstream method to simulate two-dimensionalTE wave by finite difference time domain method under different parameters selection, foundsome features of the parameters selection. Then we simulate the TE wave under the optimalparameter, thus effectively improve the efficiency of the numerical simulation.The main contents of the paper are as follows:1Electromagnetism, prevalent numerical method of electromagnetic wave and thedevelopment and application of finite difference time domain method are introduced in thefirst chapter.2In chapter2, the fundamentals of finite-difference time domain and explanation of thetheories such as the Maxwell’s equations, Yee’s algorithm, absorbing boundary conditionsnumerical dispersion and stability theory are summarized systematically.3From the perspective of two-dimensional zero conductivity of TE wave of Maxwellcurling equation, difference formula of FDTD algorithm has been deduced. The key researchwe do is the effect of some parameters on the numerical simulation, such as number ofabsorbing boundary layer and conductivity gradient index. The main work include:1) Influence on magnetic field distribution under different number of absorbingboundary layer and conductivity gradient index are researched.Magnetic field distribution isgiven about different values. And then we can research the influence of different parameter onreflective condition through this magnetic field distribution.2) The influence on convergence of setting different number of absorbing boundary layerand conductivity gradient index is studied. Convergence test chart and statistical table aregiven. And then we can research the influence of different parameter on convergenceintuitively.3) The influence of different number of absorbing boundary layer and conductivitygradient index on the symmetry also are studied. And then the effectiveness of the simulationprocess is analyzed through the following means, such as symmetry test curve and larger viewof figure about part of it, the relative error curve and the relative error statistics.Suitable parameter is selected for numerical simulation of the two-dimensional TEwave through the above research, electromagnetic field simulation diagram of different timestep are obtained.4In this part, we do a lot of work about ADI-FDTD, the main work is as follows: first,difference formula of ADI-FDTD algorithm has been deduced. Next, traditional method ofstability proof and manual method of stability proof are given to avoid solving complexeigenvalues of matrix by mathematical software. Last, selection of time step in ADI-FDTD is researched by adopting the method similar to FDTD method. it is discovered that we are ableto enhance calculating efficiency of ADI-FDTD algorithm in the range of certain errorsthrough setting appropriate time step.