1992
DOI: 10.1109/22.127524
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A study of the nonorthogonal FDTD method versus the conventional FDTD technique for computing resonant frequencies of cylindrical cavities

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Cited by 77 publications
(30 citation statements)
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“…This algorithm creates finite boundary grids that conform to geometric surfaces to accurately match detailed irregularities, while retaining the simplicity of the regular grids used in the conventional FDTD algorithm for the other parts of the three-dimensional domain. A detailed description of the conformal FDTD algorithm is provided in numerous literatures (Harms et al, 1992;Holland, 1993;Madsen and Ziolkowski, 1988). Holland (1993) discussed the disadvantages of the classic staircase FDTD algorithm that significantly hindered its practical applications.…”
Section: Introductionmentioning
confidence: 99%
“…This algorithm creates finite boundary grids that conform to geometric surfaces to accurately match detailed irregularities, while retaining the simplicity of the regular grids used in the conventional FDTD algorithm for the other parts of the three-dimensional domain. A detailed description of the conformal FDTD algorithm is provided in numerous literatures (Harms et al, 1992;Holland, 1993;Madsen and Ziolkowski, 1988). Holland (1993) discussed the disadvantages of the classic staircase FDTD algorithm that significantly hindered its practical applications.…”
Section: Introductionmentioning
confidence: 99%
“…Agreement is good with the errors not exceeding 5%. It can be seen that for the CPFDTD method, some modes are not seen when a 12 12 grid is used, and slightly higher errors occur for the simulation of a rectangular waveguide. The reason is that the singular points at the corners of the rectangle are not taken into account in the CPFDTD approach.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…Apart from the staircase approximation, there are three different commonly used types of the FDTD method which have been put forward to analyze electromagnetic structures with curved boundaries: The contour path algorithm [3]- [6], formulas in the curvilinear coordinate system [9], and the nonorthogonal FDTD method [7], [10]- [12]. In addition, the problem has also been addressed using a hybrid finite-volume finitedifference approach [13].…”
mentioning
confidence: 99%
“…A three dimensional non orthogonal FDTD method has been proposed in [17]. Time-domain processing and fast Fourier transform are needed to reduce the number of iterations.…”
Section: Introductionmentioning
confidence: 99%