Reference Solutions for Time Domain Electromagnetic Solvers

Soichiro Masuda,Seiya Kishimoto,Shinichiro Ohnuki

doi:10.1109/access.2020.2977382

Soichiro Masuda, Seiya Kishimoto + Show 1 more

Open Access

https://doi.org/10.1109/access.2020.2977382

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Abstract

In this study, a highly precise time domain solution of electromagnetic fields for a canonical structure is derived. Our reference solution is extremely useful for researchers, engineers, and developers to evaluate the accuracy of their computational results using commercial software or their self-developed codes. Rigorous solutions of a cylinder or sphere, which consists of a homogeneous medium, are derived in the complex frequency domain; they are numerically transformed into the time domain using fast inversion of Laplace transform. In addition, the field distribution at the desired specific observation time can be easily obtained. Furthermore, the numerical accuracy of the computational electromagnetic solvers is evaluated.

Highlights

Time domain analysis of electromagnetic fields is indispensable for various applications, such as designing computer chips, antennas, optics devices, analysis of propagation for wireless communication, and medical equipment [1]–[10]
There are no limits for time step size, and it is suitable for evaluating time domain analysis methods, such as the finite-difference time-domain (FDTD) method [4], [12], [13]
The objective of this study is to propose an evaluation method for the reliability of time domain electromagnetic solver

Summary

INTRODUCTION

Time domain analysis of electromagnetic fields is indispensable for various applications, such as designing computer chips, antennas, optics devices, analysis of propagation for wireless communication, and medical equipment [1]–[10]. Evaluating the reliability and accuracy of the computational results remains difficult because rigorous solutions of time domain responses are very limited [11]. S. Masuda et al.: Reference Solutions for Time Domain Electromagnetic Solvers in the complex frequency domain. The instantaneous value is and efficiently obtained It is an error-controllable method, and the number of digits of accuracy for our reference solution can be strictly evaluated to select the approximate parameter properly. Evaluation of the computational accuracy of the time domain solver, i.e., the FDTD method, is demonstrated in this study through comparison with our reference solutions. To obtain the time domain solutions, the electromagnetic field in the complex frequency domain is transformed using FILT. The sampling complex frequency can be decided, and the reference solution at a single moment in time is accurately obtained. The instantaneous field distribution at an observation time t can be accurately and efficiently solved using the summation in Eq (4)

ELECTROMAGNETIC FIELDS FOR A CYLINDER IN THE COMPLEX FREQUENCY DOMAIN

CONCLUSION

SOLUTION FOR A PERFECT ELECTRIC CONDUCTING CYLINDER

SOLUTION FOR A DIELECTRIC CYLINDER