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A transient near to far field transformation method and verification benchmarking procedure

Nicholas A. Roberds and Duncan A. O. McGregor

Journal of Electromagnetic Waves and Applications, 2025, vol. 39, issue 12, 1437-1452

Abstract: The numerical calculation of electromagnetic far fields in the time-domain requires a near to far field transformation (NTFF) method. While time-domain NTFF methods for popular finite-difference time-domain (FDTD) approaches are well established, there is little discourse on NTFF methods for finite-element time-domain (FETD) codes. This work is concerned with the development of an NTFF method for the Empire FETD code, which utilizes curl and divergence conforming elements. This discretization presents a difficulty in obtaining the equivalent electric current for the NTFF. Straightforward finite element interpolation of the fields is shown to give poor accuracy. Alternative interpolation methods are recommended. An expanding magnetic quadrupole pulse benchmark problem, which is fully developed in the appendices, provides the basis for quantitative comparison.

Date: 2025
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DOI: 10.1080/09205071.2025.2510991

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