The One-Step ADI-FDTD for Periodic Structures and its Stability

Yun Fei Mao; Hong Bing Wu; Lin Ou

doi:10.4028/www.scientific.net/AMR.915-916.1158

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 915-916The One-Step ADI-FDTD for Periodic Structures and...

The One-Step ADI-FDTD for Periodic Structures and its Stability

Abstract:

In this paper, the stability analysis of the unconditionally stable one-step leapfrog alternating direction implicit (ADI) finite-difference time-domain (FDTD) method for periodic structures is presented. The amplification matrix of the proposed leap-frog ADI-FDTD method is obtained through the spatial domain with Fourier method and eigenvalues of the Fourier amplification matrix are obtained analytically to prove the unconditional stability of the periodic leapfrog ADI-FDTD method. Numerical verification is proposed to confirm the theoretical result.

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Periodical:

Advanced Materials Research (Volumes 915-916)

Pages:

1158-1162

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.915-916.1158

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Online since:

April 2014

Authors:

Yun Fei Mao*, Hong Bing Wu, Lin Ou

Keywords:

ADI-FDTD, One-Step, Periodic Structure, Stability

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