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Analysis of general 3-D PEC structures using improved CPFDTD algorithm

Analysis of general 3-D PEC structures using improved CPFDTD algorithm

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The contour path finite difference time domain (CPFDTD) method, employing locally distorted integration contours, has been shown to give accurate results for curved three-dimensional metal structures. The numerical stability of this scheme is not, however, guaranteed and significant skill is required to generate an appropriate grid. The authors present a modification to the three-dimensional CPFDTD method which ensures stability and which permits simple generation of the locally distorted grid. The accuracy of the scheme is demonstrated through the calculation of the resonant frequencies of circular cylindrical and spherical resonators.

References

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      • C.J. Railton , I.J. Craddock , J.B. Schneider . Improved locally distorted CPFDTD algorithm with provable stability. Electron. Lett. , 18 , 1585 - 1586
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      • Okoniewski, M., Anderson, J., Mrozowski, M., Stuchly, S.S.: `Arbitrarily located metal surfaces in FDTD technique', Progress in Electromagnetics Research Symp., July 1995, Seattle, WA, USA, p. 178.
    3. 3)
      • Craddock, I.J., Railton, C.J.: `A novel FDTD algorithm incorporating correction coefficients for curvedboundaries', Proc. 24th European Microwave Conf., September 1994, Cannes, France, p. 1536–1540.
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      • Madsen, N.K.: `Divergence preserving discrete surface integral methods for Maxwell'scurl equations using non-orthogonalunstructured grids', UCRL-JC-109787, Report, 1992.
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      • T.G. Jurgens , A. Taflove . Three-dimensional contour FDTD modeling of scattering from single andmultiple bodies. IEEE Trans. , 1703 - 1708
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      • T.G. Jurgens , A. Taflove , K. Umashankar , T.G. Moore . Finite-difference time-domain modeling of curved surfaces (EM scattering). IEEE Trans. , 357 - 366
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