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Weakly conditionally stability FDTD scheme with reduced split error

Weakly conditionally stability FDTD scheme with reduced split error

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  • Author(s): J. Chen 1  and  J.G. Wang 2
    • View affiliations
    • Affiliations: 1: School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, People's Republic of China
      2: School of Electronic and Information Engineering, Northwest Institute of Nuclear Technology, Xi'an, People's Republic of China
  • Source: Volume 42, Issue 18, 31 August 2006, p. 1017 – 1019
    DOI:  10.1049/el:20061926 , Print ISSN 0013-5194, Online ISSN 1350-911X
© The Institution of Engineering and Technology
Published

A new FDTD method with weakly conditionally stability is presented. The time step in this method is only determined by one space discretisation. Because the split error in this method is proportional to the time step, not the square of the time step, the accuracy of the proposed technique is better than that of the ADI-FDTD method, this being demonstrated by numerical examples.

Inspec keywords: finite difference time-domain analysis; electromagnetic wave propagation; numerical stability

Other keywords: split error; FDTD scheme; ADI-FDTD method; finite difference time domain method; weakly conditionally stability

Subjects: Numerical approximation and analysis; Other numerical methods; Electromagnetic waves: theory; Electromagnetic wave propagation

References

    1. 1)
      • K.S. Yee . Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Trans. Antennas Propag. , 302 - 307
    2. 2)
    3. 3)
      • S.G. Garcı́a , T.W. Lee , S.C. Hagness . On the accuracy of the ADI-FDTD method. IEEE Antennas Wirel. Propag. Lett. , 31 - 34
    4. 4)
      • G. Sun , C.W. Trueman . Analysis and numerical experiments on the numerical dispersion of two-dimensional ADI-FDTD. IEEE Antennas Wirel. Propag. Lett. , 31 - 34
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