volume | PIER Journals

Abstract

The fast inverse Laplace transform (FILT) proposed by Hosono is recently applied to various transient response problems in electromagnetics. The frequency-domain methods have been the mainstream of electromagnetic simulation for many years, and a lot of knowledge has been accumulated. The FILT makes it possible to utilize frequency-domain techniques to transient analyses, and it is expected to provide reliable transient response analyses. Since the evaluation points of the image function in the conventional FILT depend on the observation time, the scope of application is sometimes limited when evaluation of the image function takes a relatively long computation time. This paper modifies the FILT so that the evaluation points are independent of the observation time, and the number of image function evaluations is reduced.

1. Taflove, A. and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech house, Norwood, 2005.

2. Oberhettinger, F. and L. Badii, Tables of Laplace Transforms, Springer-Verlag, Berlin, 1973.

3. Cohen, A. M., Numerical Methods for Laplace Transform Inversion, Springer, New York, 2010.

4. Hosono, Toshio, "Numerical inversion of Laplace Transform and some applications to wave optics," Radio Science, Vol. 16, No. 6, 1015-1019, 1981. Google Scholar

5. Hosono, H., "Transient responses of electromagnetic waves scattered by a circular cylinder with longitudinal slots - The case of back scattering by a cylinder with a slot in the forward direction," IEICE Transactions on Electronics, Vol. E74-C, No. 9, 2864-2869, 1991. Google Scholar

6. Kishimoto, Seiya, Tatsuichiro Okada, Shinichiro Ohnuki, Yoshito Ashizawa, and Katsuji Nakagawa, "Efficient analysis of electromagnetic fields for designing nanoscale antennas by using a boundary integral equation method with fast inverse Laplace Transform," Progress In Electromagnetics Research, Vol. 146, 155-165, 2014. Google Scholar

7. Ohnuki, S., Y. Kitaoka, and T. Takeuchi, "Time-Domain solver for 3D electromagnetic problems using the method of moments and the fast inverse Laplace Transform," IEICE Transactions on Electronics, Vol. E99-C, No. 7, 797-800, 2016. Google Scholar

8. Ozaki, R. and T. Yamasaki, "Analysis of pulse responses from conducting strips with dispersion medium sandwiched air layer," IEICE Electronics Express, Vol. 15, No. 6, 1-6, 2018. Google Scholar

9. Ohnuki, S., "Time-domain analysis of electromagnetic waves using fast inverse Laplace Transform," Trans. IEICE Japan, Vol. J103-C, No. 4, 203-210, 2020. Google Scholar

10. Kishimoto, Seiya, Shohei Nishino, and Shinichiro Ohnuki, "Novel computational technique for time-dependent heat transfer analysis using fast inverse Laplace Transform," Progress In Electromagnetics Research M, Vol. 99, 45-55, 2021. Google Scholar

11. Abramowitz, M. and I. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover, New York, 1972.

12. Hosono, H. and T. Hosono, "Highly anomalous propagation of pseudo-Gaussian pulse," IEICE transactions on electronics, Vol. E90-C, No. 2, 224-230, 2007. Google Scholar

13. Yamasaki, T., K. Isono, and T. Hinata, "Analysis of electromagnetic fields in inhomogeneous media by Fourier series expansion methods — The case of a dielectric constant mixed a positive and negative regions," IEICE transactions on electronics, Vol. E88-C, No. 12, 2216-2222, 2005. Google Scholar

Prof. Koki Watanabe