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Efficient Image Approximation to Multi-Layered Green Function and Its Application in Integral Equation Method

delete2026-07-25
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PRE
AI
Z
Zhenya Zhou
T
Tao Cui
C
Chunxiong Zheng *
C
Chengjie Zuo
DOI:10.1007/s10915-026-03308-6delete
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Abstract

Abstract

En 中文
An image approximation method for real-space Green function in multi-layered media is proposed. With the aid of transition state matrix, we express the spectral Green function into a delicate form. This formulation is friendly to exponentials-sum approximation. Consequently, by applying the matrix-pencil method, an image approximation is derived. The novelty of proposed image approximation for multi-layered Green function lies in the fact that the matrix filling task in a Galerkin integral equation method can be efficiently performed via the latest formulations on the triangle-pair integrals associated with 1/r-integrating kernel.
Keywords:
Image approximation
Sommerfeld integral
Matrix filling
Capacitance extraction

Journal

Journal of Scientific Computing cover
Journal of Scientific Computing
IF:
3.3
Papers:
652
Citations:
9.6K

Organization

S
School of Microelectronics
Scholars:
219
Papers: 63
Citations: 1
S
School of Mathematical Sciences
Scholars:
525
Papers: 303
Citations: 1
D
Department of Mathematical Sciences
Scholars:
64
Papers: 176
Citations: 0
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