Analysis of Computation Error in Antenna's Simulation by Using Non-Uniform Mesh FDTD

Huiling JIANG  Hiroyuki ARAI  

IEICE TRANSACTIONS on Communications   Vol.E83-B    No.7    pp.1544-1553
Publication Date: 2000/07/25
Online ISSN: 
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Antenna and Propagation
FDTD method,  non-uniform mesh,  linear interpolation,  quadratic interpolation,  

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Numerical modeling of realistic engineering problems using the FDTD technique often requires smaller cell size, higher simulation accuracy and less computation resources. In this paper, we describe a high performance three-dimensional FDTD algorithm by using non-uniform mesh that allows flexible cell size to improve the accuracy of modeling, and computation resource also can be reduced greatly. In this paper, we will first explain the detailed formulation and algorithm of Non-Uniform Mesh. Next, examination of the reflection error from fine-coarse boundary because of the discontinuity is carried out. Then some test geometry are solved by using both uniform mesh and non-uniform mesh FDTD scheme to validate the results and check the accuracy of solution. We also examine the calculation accuracy due to mesh size ratio, and then investigation of how to determine the fine mesh region surrounding the object for a most small computation error will be carried out in this paper. In addition, the algorithm is demonstrated for several different antenna geometry.