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Title: Unconditionally stable multiple one-dimensional ADI-FDTD method for coupled transmission lines
Authors: Heh, Ding Yu
Tan, Eng Leong
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2018
Source: Heh, D. Y., & Tan, E. L. (2018). Unconditionally stable multiple one-dimensional ADI-FDTD method for coupled transmission lines. IEEE Transactions on Antennas and Propagation, 66(12), 7488-7492. doi:10.1109/TAP.2018.2872724
Journal: IEEE Transactions on Antennas and Propagation
Abstract: The unconditionally stable multiple one-dimensional alternating direction implicit finite-difference time-domain (M1-D ADI-FDTD) method for coupled transmission lines is presented. The differential equations for coupled transmission lines are formulated in compact matrix form. Proper 4 × 4 split matrices are introduced, which feature unconditional stability for the ADI procedures. These matrices also lead to update equations with the left-hand sides involving tridiagonal matrices that can be solved efficiently. The update equations of the M1-D ADI-FDTD method are given, which comprise one implicit and three explicit updates in each procedure. The analytical proof of unconditional stability is also provided based on the von Neumann method. The M1-D ADI-FDTD method allows quick simulation and visualization of electromagnetic fields everywhere along the coupled transmission lines. To demonstrate the usefulness of the M1-D ADI-FDTD method, various coupled line structures for filter and filtering antenna are analyzed using the method.
ISSN: 0018-926X
DOI: 10.1109/TAP.2018.2872724
Rights: © 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at:
Fulltext Permission: open
Fulltext Availability: With Fulltext
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