A demonstration of multiplicative tapering in FDTD Green’s function diakoptics

Daan van den Hof; Bastiaan Pieter de Hon

doi:10.1109/ICEAA49419.2022.9899977

A demonstration of multiplicative tapering in FDTD Green’s function diakoptics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

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Abstract

We have implemented a simulation tool for finite difference time domain (FDTD), or lattice Green’s function (LGF) diakoptics. This amounts to fully self-consistent FDTD boundary conditions for possibly disjoint computational domains. Our main focus is the multiplicative tapering of the LGFs, which results in a crucial reduction in computational and storage costs, and thus ensures the viability of LGF diakoptics. We show that a simple truncation is not sufficient. Instead we show the effectiveness of using a Hann window for both a homogeneous setup and a configuration with a large dielectric contrast.

Original language	English
Title of host publication	2022 International Conference on Electromagnetics in Advanced Applications (ICEAA)
Publisher	Institute of Electrical and Electronics Engineers
Pages	108-111
Number of pages	4
ISBN (Electronic)	978-1-6654-8111-3
DOIs	https://doi.org/10.1109/ICEAA49419.2022.9899977
Publication status	Published - 28 Sept 2022
Event	23rd International Conference on Electromagnetics in Advanced Applications, ICEAA 2022 - Cape Town, South Africa Duration: 5 Sept 2022 → 9 Sept 2022 Conference number: 23 https://www.iceaa-offshore.org/j3/

Conference

Conference	23rd International Conference on Electromagnetics in Advanced Applications, ICEAA 2022
Abbreviated title	ICEAA 2022
Country/Territory	South Africa
City	Cape Town
Period	5/09/22 → 9/09/22
Internet address	https://www.iceaa-offshore.org/j3/

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10.1109/ICEAA49419.2022.9899977

Cite this

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title = "A demonstration of multiplicative tapering in FDTD Green{\textquoteright}s function diakoptics",

abstract = "We have implemented a simulation tool for finite difference time domain (FDTD), or lattice Green{\textquoteright}s function (LGF) diakoptics. This amounts to fully self-consistent FDTD boundary conditions for possibly disjoint computational domains. Our main focus is the multiplicative tapering of the LGFs, which results in a crucial reduction in computational and storage costs, and thus ensures the viability of LGF diakoptics. We show that a simple truncation is not sufficient. Instead we show the effectiveness of using a Hann window for both a homogeneous setup and a configuration with a large dielectric contrast.",

author = "\{van den Hof\}, Daan and \{de Hon\}, \{Bastiaan Pieter\}",

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publisher = "Institute of Electrical and Electronics Engineers",

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note = "23rd International Conference on Electromagnetics in Advanced Applications, ICEAA 2022, ICEAA 2022 ; Conference date: 05-09-2022 Through 09-09-2022",

url = "https://www.iceaa-offshore.org/j3/",

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van den Hof, D & de Hon, BP 2022, A demonstration of multiplicative tapering in FDTD Green’s function diakoptics. in 2022 International Conference on Electromagnetics in Advanced Applications (ICEAA)., 9899977, Institute of Electrical and Electronics Engineers, pp. 108-111, 23rd International Conference on Electromagnetics in Advanced Applications, ICEAA 2022, Cape Town, South Africa, 5/09/22. https://doi.org/10.1109/ICEAA49419.2022.9899977

A demonstration of multiplicative tapering in FDTD Green’s function diakoptics. / van den Hof, Daan ; de Hon, Bastiaan Pieter.
2022 International Conference on Electromagnetics in Advanced Applications (ICEAA). Institute of Electrical and Electronics Engineers, 2022. p. 108-111 9899977.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

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N2 - We have implemented a simulation tool for finite difference time domain (FDTD), or lattice Green’s function (LGF) diakoptics. This amounts to fully self-consistent FDTD boundary conditions for possibly disjoint computational domains. Our main focus is the multiplicative tapering of the LGFs, which results in a crucial reduction in computational and storage costs, and thus ensures the viability of LGF diakoptics. We show that a simple truncation is not sufficient. Instead we show the effectiveness of using a Hann window for both a homogeneous setup and a configuration with a large dielectric contrast.

AB - We have implemented a simulation tool for finite difference time domain (FDTD), or lattice Green’s function (LGF) diakoptics. This amounts to fully self-consistent FDTD boundary conditions for possibly disjoint computational domains. Our main focus is the multiplicative tapering of the LGFs, which results in a crucial reduction in computational and storage costs, and thus ensures the viability of LGF diakoptics. We show that a simple truncation is not sufficient. Instead we show the effectiveness of using a Hann window for both a homogeneous setup and a configuration with a large dielectric contrast.

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BT - 2022 International Conference on Electromagnetics in Advanced Applications (ICEAA)

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T2 - 23rd International Conference on Electromagnetics in Advanced Applications, ICEAA 2022

Y2 - 5 September 2022 through 9 September 2022

ER -

A demonstration of multiplicative tapering in FDTD Green’s function diakoptics

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