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International Journal of Antennas and Propagation
Volume 2016, Article ID 8402697, 8 pages
Research Article

One-Step Leapfrog LOD-BOR-FDTD Algorithm with CPML Implementation

1PLA University of Science and Technology, Nanjing, Jiangsu 210007, China
2Engineering Academy of PLA, Xuzhou, Jiangsu 221004, China

Received 5 January 2016; Revised 12 March 2016; Accepted 14 April 2016

Academic Editor: Marta Cavagnaro

Copyright © 2016 Yi-Gang Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An unconditionally stable one-step leapfrog locally one-dimensional finite-difference time-domain (LOD-FDTD) algorithm towards body of revolution (BOR) is presented. The equations of the proposed algorithm are obtained by the algebraic manipulation of those used in the conventional LOD-BOR-FDTD algorithm. The equations for -direction electric and magnetic fields in the proposed algorithm should be treated specially. The new algorithm obtains a higher computational efficiency while preserving the properties of the conventional LOD-BOR-FDTD algorithm. Moreover, the convolutional perfectly matched layer (CPML) is introduced into the one-step leapfrog LOD-BOR-FDTD algorithm. The equation of the one-step leapfrog CPML is concise. Numerical results show that its reflection error is small. It can be concluded that the similar CPML scheme can also be easily applied to the one-step leapfrog LOD-FDTD algorithm in the Cartesian coordinate system.