학술논문

Geometry Reconstruction from Entries of Impedance Matrices
Document Type
Conference
Source
2024 18th European Conference on Antennas and Propagation (EuCAP) Antennas and Propagation (EuCAP), 2024 18th European Conference on. :1-5 Mar, 2024
Subject
Fields, Waves and Electromagnetics
Geometry
Integral equations
Reconstruction algorithms
Mathematical models
Outsourcing
Impedance
Security
Method of moments
optimization theory
geometry reconstruction
Language
Abstract
The privacy and security of sensitive data are critical concerns when outsourcing computational tasks to external cloud service providers. This paper explores the feasibility of extracting confidential simulated models from method of moments (MoM) matrices. The study focuses on impedance matrices employing Rao-Wilton-Glisson (RWG) functions and the electric field integral equation. Reverse-engineering the simulated geometry can be formulated as an optimization problem. However, the presence of dyadic Green's functions imposes ambiguities when simultaneously reconstructing both the relative angle and dis-tance between RWG source pairs in three-dimensional space. We introduce a local reconstruction method which mitigates these ambiguities. The approach gradually reconstructs the geometric structure locally by employing a reduced set of optimization variables. Numerical examples showcase that the local method can potentially reconstruct the original geometry.