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Stability analysis of the extended ADI-FDTD technique including lumped models

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Abstract

The numerical stability of the extended alternating-direction-implicit-finite-difference-time-domain (ADI-FDTD) method including lumped models is analyzed. Three common lumped models are investigated: resistor, capacitor, and inductor, and three different formulations for each model are analyzed: the explicit, semi-implicit and implicit schemes. Analysis results show that the extended ADI-FDTD algorithm is not unconditionally stable in the explicit scheme case, and the stability criterion depends on the value of lumped models, but in the semi-implicit and implicit cases, the algorithm is stable. Finally, two simple microstrip circuits including lumped elements are simulated to demonstrate validity of the theoretical results.

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Authors and Affiliations

  1. College of Electronic and Information Engineering, South China University of Technology, Guangzhou, 510640, China

    ZhiHui Chen & QingXin Chu

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  1. ZhiHui Chen
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  2. QingXin Chu
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Correspondence to QingXin Chu.

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Supported by the National Natural Science Foundation of China (Grant Nos. 60171011 and 60571056)

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Chen, Z., Chu, Q. Stability analysis of the extended ADI-FDTD technique including lumped models. Sci. China Ser. F-Inf. Sci. 51, 1607–1613 (2008). https://doi.org/10.1007/s11432-008-0100-7

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  • DOI: https://doi.org/10.1007/s11432-008-0100-7

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