A Discontinuous Galerkin Integral Equation Method for Multiscale Surface-Wire Structures

The surface-wire integral equation method is an efficient and well-established approach in microwave engineering, as it simplifies mesh generation and improves efficiency without sacrificing accuracy. However, it faces significant challenges when applied to multiscale structures with densely distrib...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2024-10, Vol.72 (10), p.7883-7892
Main Authors: Chen, Yun-Han, Wu, Bi-Yi, Yan, Chao-Ze, Zhao, Zi-Hao, Sheng, Xin-Qing
Format: Article
Language:English
Subjects:
Accuracy
Antenna
Apexes
Basis functions
Computer graphics
discontinuous Galerkin
Discretization
Flexibility
Galerkin method
integral equation
Integral equations
Junctions
Mesh generation
method of moment (MoM)
Method of moments
Surface impedance
surface-to-wire structure
Vectors
Wire
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Summary:The surface-wire integral equation method is an efficient and well-established approach in microwave engineering, as it simplifies mesh generation and improves efficiency without sacrificing accuracy. However, it faces significant challenges when applied to multiscale structures with densely distributed wire-surface junctions, such as vias or interconnections. This difficulty arises because junction points must align with surface mesh vertices, imposing additional constraints on mesh generation. To address this limitation and enhance the flexibility of mesh generation for complex structures, in this work, we extend the discontinuous Galerkin integral equation (DGIE) method to surface-wire structures, so that the mesh for wire and surface can be discretized independently. The nonoverlapping subdomain partitioning scheme and the simple basis function definitions for surface-wire junctions are provided. Similar to the surface DGIE method, the numerical discretization procedure is derived to guarantee the current continuity and zero charge accumulation on the DG contour lines, to ensure the correctness of electromagnetic analysis. Different numerical examples are provided to demonstrate the correctness, accuracy, and flexibility of the proposed method, and to exhibit its superior performance over conventional methods in challenging multiscale problems.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2024.3445534