Work

Extended Kelvin Transformation for Solving Radiating Electromagnetic Fields

Year: 2024

Type: article

Abstract: This paper presents an extension of the Kelvin transformation for high-frequency electromagnetic problems. The Kelvin transformation is a coordinate transformation that maps infinite space to a finite space, acting as a conformal transformation of Maxwell’s equations. We apply concepts of differential geometry to derive the material constant’s metric and spatial dependence in the exterior domain, which was originally proposed for low-frequency eddy current problems. This paper extends the conformal transformation concept to high-frequency problems by introducing a Perfectly Matched Layer (hereafter referred as to PML) in the exterior domain. This technique makes it easy to apply a simple Maxwellian PML.

Source: IEICE Transactions on Electronics

DOI: 10.1587/transele.2024rep0002

Author: Kengo SUGAHARA

Institution: Kindai University

Language: English

Topic: Electromagnetic Simulation and Numerical Methods

Subfield: Electrical and Electronic Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funder: Japan Society for the Promotion of Science

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