Affiliations: [a] National Key Laboratory on Electromagnetic Environmental Effects and Electro-Optical Engineering, PLA University of Science and Technology, Nanjing, Jiangsu, China | [b] Luoyang Hydraulic Engineering Technical Institute, Luoyang, Henan, China | [c] Key Laboratory of Radar Imaging and Microwave Photonics (Nanjing Univ. Aeronaut. Astronaut.), Ministry of Education, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China
Correspondence:
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Corresponding author: Zheng-Yu Huang, Key Laboratory of Radar Imaging and Microwave Photonics (Nanjing Univ. Aeronaut. Astronaut.), Ministry of Education, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China. E-mail: huangzynj@nuaa.edu.cn.
Abstract: The orthogonal expansion based unconditionally stable FDTD method has been developed and attracted much attention recently. It can be implemented by two schemes: marching-on-in-order and paralleling-in-order solution, which respectively use weighted Laguerre polynomials (WLP) and associated Hermite (AH) functions as temporal expansions and testing functions. This paper proposed to use Legendre polynomials as another kind of orthogonal basis to make a new paralleling-in-order based unconditionally stable FDTD method. Numerical result shows it has much better performance in long time simulation case when compared with AH FDTD method.
