Fast Full-Wave Surface Integral Equation Solver for Multiscale Structure Modeling

We describe a full-wave solver to model large-scale and complex multiscale structures. It uses the augmented electric field integral equation (A-EFIE), which includes both the charge and the current as unknowns to avoid the imbalance between the vector potential and the scalar potential in the conve...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2009-11, Vol.57 (11), p.3594-3601
Main Authors: Qian, Zhi-Guo, Chew, Weng Cho
Format: Article
Language:English
Subjects:
Acceleration
Algorithm design and analysis
Algorithms
Applied classical electromagnetism
Charge
Convergence of numerical methods
Design methodology
Electric charge
Electric field integral equation (EFIE)
Electric fields
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Exact sciences and technology
Frequency
Fundamental areas of phenomenology (including applications)
Integral equations
Iterative algorithms
Iterative methods
Large-scale systems
low-frequency
Mathematical models
method of moments (MoM)
mixed-form fast multipole algorithm
multiscale
Physics
Solvers
Testing
Vector potentials
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Summary:We describe a full-wave solver to model large-scale and complex multiscale structures. It uses the augmented electric field integral equation (A-EFIE), which includes both the charge and the current as unknowns to avoid the imbalance between the vector potential and the scalar potential in the conventional EFIE. The formulation proves to be stable in the low-frequency regime with the appropriate frequency scaling and the enforcement of charge neutrality. To conquer large-scale and complex problems, we solve the equation using iterative methods, design an efficient constraint preconditioning, and employ the mixed-form fast multipole algorithm (FMA) to accelerate the matrix-vector product. Numerical tests on various examples show high accuracy and fast convergence. At last, complex interconnect and packaging problems with over one million integral equation unknowns can be solved without the help of a parallel computer.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2009.2023629