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

Journal Article · · Journal of Electromagnetic Waves and Applications
 [1];  [1]
  1. Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
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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. Here, 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.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
NA0003525
OSTI ID:
2586097
Report Number(s):
SAND--2025-10515J; 1750498
Journal Information:
Journal of Electromagnetic Waves and Applications, Journal Name: Journal of Electromagnetic Waves and Applications Journal Issue: 12 Vol. 39; ISSN 1569-3937; ISSN 0920-5071
Publisher:
Informa UK LimitedCopyright Statement
Country of Publication:
United States
Language:
English

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Variational, stable, and self-consistent coupling of 3D electromagnetics to 1D transmission lines in the time domain journal February 2022
A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type journal January 1947
An improved near- to far-zone transformation for the finite-difference time-domain method journal January 1998
Time-domain extrapolation to the far field based on FDTD calculations journal March 1991
A finite-difference time-domain near zone to far zone transformation (electromagnetic scattering) journal April 1991
A Comparative Study of Three Finite Element-Based Explicit Numerical Schemes for Solving Maxwell's Equations journal March 2012
DG-FEM for Time Domain H- $\Phi $ Eddy Current Analysis journal June 2017
Stability Analysis of Time Domain Discontinuous Galerkin H– $\Phi$ Method for Eddy Current Simulations journal March 2018
A Near and Far-Field Projection Algorithm for Finite-Difference Time-Domain Codes journal January 1992
EMPIRE-PIC: A Performance Portable Unstructured Particle-in-Cell Code journal June 2021

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Related Subjects

FETD
finite element
near to far field transformation
time domain