Boundary Conditions in Time Dependent Materials

Rebecca Seviour; Johnathan Gratus; Paul Kinsler

Boundary Conditions in Time Dependent Materials

Rebecca Seviour, Johnathan Gratus, Paul Kinsler

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Currently there is growing interest in time dependent media, materials whose constitutive relations change with time. Most models assume the permittivity and permeability are constant. This approach works if both permittivity and permeability are real. However to model lossy materials it is natural to consider complex constitutive relations. In this paper we demonstrate with a simple example that such a model is unphysical in a time dependent media. Furthermore we derive the correct boundary conditions necessary for wave propagation in a time dependent media.

Original language	English
Title of host publication	11th International Conference on Metamaterials, Photonic Crystals and Plasmonics
Subtitle of host publication	META 2021
Editors	Said Zouhdi, Dorota Pawlak, Andrzej Kudelski
Pages	721-722
Number of pages	2
Volume	2021
Publication status	Published - 20 Jul 2021
Event	11th International Conference on Metamaterials, Photonic Crystals and Plasmonics - Warsaw, Poland Duration: 20 Jul 2021 → 23 Jul 2021 Conference number: 11

Publication series

Name	International Conference on Metamaterials, Photonic Crystals and Plasmonics
Publisher	META Conference
ISSN (Print)	2429-1390

Conference

Conference	11th International Conference on Metamaterials, Photonic Crystals and Plasmonics
Abbreviated title	META 2021
Country/Territory	Poland
City	Warsaw
Period	20/07/21 → 23/07/21

Cite this

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title = "Boundary Conditions in Time Dependent Materials",

abstract = "Currently there is growing interest in time dependent media, materials whose constitutive relations change with time. Most models assume the permittivity and permeability are constant. This approach works if both permittivity and permeability are real. However to model lossy materials it is natural to consider complex constitutive relations. In this paper we demonstrate with a simple example that such a model is unphysical in a time dependent media. Furthermore we derive the correct boundary conditions necessary for wave propagation in a time dependent media.",

keywords = "Time Dependent Media, Boundary conditions, Time Dependent Materials",

author = "Rebecca Seviour and Johnathan Gratus and Paul Kinsler",

year = "2021",

month = jul,

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language = "English",

volume = "2021",

series = "International Conference on Metamaterials, Photonic Crystals and Plasmonics",

publisher = "META Conference",

pages = "721--722",

editor = "Said Zouhdi and Dorota Pawlak and Andrzej Kudelski",

booktitle = "11th International Conference on Metamaterials, Photonic Crystals and Plasmonics",

note = "11th International Conference on Metamaterials, Photonic Crystals and Plasmonics, META 2021 ; Conference date: 20-07-2021 Through 23-07-2021",

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Seviour, R, Gratus, J & Kinsler, P 2021, Boundary Conditions in Time Dependent Materials. in S Zouhdi, D Pawlak & A Kudelski (eds), 11th International Conference on Metamaterials, Photonic Crystals and Plasmonics: META 2021. vol. 2021, International Conference on Metamaterials, Photonic Crystals and Plasmonics, pp. 721-722, 11th International Conference on Metamaterials, Photonic Crystals and Plasmonics, Warsaw, Poland, 20/07/21.

Boundary Conditions in Time Dependent Materials. / Seviour, Rebecca; Gratus, Johnathan; Kinsler, Paul.

11th International Conference on Metamaterials, Photonic Crystals and Plasmonics: META 2021. ed. / Said Zouhdi; Dorota Pawlak; Andrzej Kudelski. Vol. 2021 2021. p. 721-722 (International Conference on Metamaterials, Photonic Crystals and Plasmonics).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Boundary Conditions in Time Dependent Materials

AU - Seviour, Rebecca

AU - Gratus, Johnathan

AU - Kinsler, Paul

N1 - Conference code: 11

PY - 2021/7/20

Y1 - 2021/7/20

N2 - Currently there is growing interest in time dependent media, materials whose constitutive relations change with time. Most models assume the permittivity and permeability are constant. This approach works if both permittivity and permeability are real. However to model lossy materials it is natural to consider complex constitutive relations. In this paper we demonstrate with a simple example that such a model is unphysical in a time dependent media. Furthermore we derive the correct boundary conditions necessary for wave propagation in a time dependent media.

AB - Currently there is growing interest in time dependent media, materials whose constitutive relations change with time. Most models assume the permittivity and permeability are constant. This approach works if both permittivity and permeability are real. However to model lossy materials it is natural to consider complex constitutive relations. In this paper we demonstrate with a simple example that such a model is unphysical in a time dependent media. Furthermore we derive the correct boundary conditions necessary for wave propagation in a time dependent media.

KW - Time Dependent Media

KW - Boundary conditions

KW - Time Dependent Materials

UR - http://www.scopus.com/inward/record.url?scp=85172465245&partnerID=8YFLogxK

UR - https://metaconferences.org/META/files/meta21_proceedings.pdf

M3 - Conference contribution

AN - SCOPUS:85172465245

VL - 2021

T3 - International Conference on Metamaterials, Photonic Crystals and Plasmonics

SP - 721

EP - 722

BT - 11th International Conference on Metamaterials, Photonic Crystals and Plasmonics

A2 - Zouhdi, Said

A2 - Pawlak, Dorota

A2 - Kudelski, Andrzej

T2 - 11th International Conference on Metamaterials, Photonic Crystals and Plasmonics

Y2 - 20 July 2021 through 23 July 2021

ER -

Boundary Conditions in Time Dependent Materials

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