Circuit analysis of radiation reaction in metamaterials by retarded electromagnetic coupling

Abstract Because radiation is essential in high‐frequency circuits, such as those used in metamaterials and plasmonics, the investigation of radiation loss is important. This study describes the characteristics of radiation loss, which is a radiation reaction in circuits with retarded electromagneti...

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Main Authors: Ryoma Nakata, Takashi Hisakado, Tohlu Matsushima, Osami Wada
Format: Article
Language:English
Published: Wiley 2022-07-01
Series:IET Circuits, Devices and Systems
Subjects:
Online Access:https://doi.org/10.1049/cds2.12104
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author Ryoma Nakata
Takashi Hisakado
Tohlu Matsushima
Osami Wada
author_facet Ryoma Nakata
Takashi Hisakado
Tohlu Matsushima
Osami Wada
author_sort Ryoma Nakata
collection DOAJ
description Abstract Because radiation is essential in high‐frequency circuits, such as those used in metamaterials and plasmonics, the investigation of radiation loss is important. This study describes the characteristics of radiation loss, which is a radiation reaction in circuits with retarded electromagnetic couplings. The structure of wired metallic spheres is used to demonstrate metamaterial equivalent circuits, where charges and current exist on the spheres and wires, respectively. An inductance matrix and a potential coefficient matrix with retarded electromagnetic couplings are defined to address the radiation reaction. Subsequently, based on the topology of the wires and spheres, an equivalent circuit equation with retardation is formulated to discuss the losses in the resonant circuit caused by the inductive and capacitive elements. Thereafter, the relationship between the resonant frequency and radiation loss caused by the retarded couplings is demonstrated and the difference between the retarded couplings and couplings with transmission lines is clarified. Furthermore, we indicate that retarded coupling generates singularity on a dispersion curve for a one‐dimensional array of resonant circuits. Thus, the circuit with retarded couplings generates novel characteristics of radiation reactions that are not represented by the circuit without retardation. This circuit analysis is expected to afford new aspects in studies on topics, such as metamaterials and plasmonics.
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institution Kabale University
issn 1751-858X
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publishDate 2022-07-01
publisher Wiley
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series IET Circuits, Devices and Systems
spelling doaj-art-99eb545f68584d4aad512307bda8735e2025-02-03T01:29:37ZengWileyIET Circuits, Devices and Systems1751-858X1751-85982022-07-0116431132110.1049/cds2.12104Circuit analysis of radiation reaction in metamaterials by retarded electromagnetic couplingRyoma Nakata0Takashi Hisakado1Tohlu Matsushima2Osami Wada3Faculty of Engineering Graduate School of Engineering Kyoto University Kyoto JapanFaculty of Engineering Graduate School of Engineering Kyoto University Kyoto JapanFaculty of Engineering Graduate School of Engineering Kyoto University Kyoto JapanFaculty of Engineering Graduate School of Engineering Kyoto University Kyoto JapanAbstract Because radiation is essential in high‐frequency circuits, such as those used in metamaterials and plasmonics, the investigation of radiation loss is important. This study describes the characteristics of radiation loss, which is a radiation reaction in circuits with retarded electromagnetic couplings. The structure of wired metallic spheres is used to demonstrate metamaterial equivalent circuits, where charges and current exist on the spheres and wires, respectively. An inductance matrix and a potential coefficient matrix with retarded electromagnetic couplings are defined to address the radiation reaction. Subsequently, based on the topology of the wires and spheres, an equivalent circuit equation with retardation is formulated to discuss the losses in the resonant circuit caused by the inductive and capacitive elements. Thereafter, the relationship between the resonant frequency and radiation loss caused by the retarded couplings is demonstrated and the difference between the retarded couplings and couplings with transmission lines is clarified. Furthermore, we indicate that retarded coupling generates singularity on a dispersion curve for a one‐dimensional array of resonant circuits. Thus, the circuit with retarded couplings generates novel characteristics of radiation reactions that are not represented by the circuit without retardation. This circuit analysis is expected to afford new aspects in studies on topics, such as metamaterials and plasmonics.https://doi.org/10.1049/cds2.12104circuit analysismetamaterialradiation reactionretarded couplingtransmission line
spellingShingle Ryoma Nakata
Takashi Hisakado
Tohlu Matsushima
Osami Wada
Circuit analysis of radiation reaction in metamaterials by retarded electromagnetic coupling
IET Circuits, Devices and Systems
circuit analysis
metamaterial
radiation reaction
retarded coupling
transmission line
title Circuit analysis of radiation reaction in metamaterials by retarded electromagnetic coupling
title_full Circuit analysis of radiation reaction in metamaterials by retarded electromagnetic coupling
title_fullStr Circuit analysis of radiation reaction in metamaterials by retarded electromagnetic coupling
title_full_unstemmed Circuit analysis of radiation reaction in metamaterials by retarded electromagnetic coupling
title_short Circuit analysis of radiation reaction in metamaterials by retarded electromagnetic coupling
title_sort circuit analysis of radiation reaction in metamaterials by retarded electromagnetic coupling
topic circuit analysis
metamaterial
radiation reaction
retarded coupling
transmission line
url https://doi.org/10.1049/cds2.12104
work_keys_str_mv AT ryomanakata circuitanalysisofradiationreactioninmetamaterialsbyretardedelectromagneticcoupling
AT takashihisakado circuitanalysisofradiationreactioninmetamaterialsbyretardedelectromagneticcoupling
AT tohlumatsushima circuitanalysisofradiationreactioninmetamaterialsbyretardedelectromagneticcoupling
AT osamiwada circuitanalysisofradiationreactioninmetamaterialsbyretardedelectromagneticcoupling