Permittivity and Permeability for Floquet-Bloch Space Harmonics in Infinite 1D Magneto-Dielectric Periodic Structures

Olav Breinbjerg; Arthur D. Yaghjian

doi:10.1109/MetaMaterials.2014.6948598

Permittivity and Permeability for Floquet-Bloch Space Harmonics in Infinite 1D Magneto-Dielectric Periodic Structures

Olav Breinbjerg, Arthur D. Yaghjian

Arcon Corporation

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

Abstract

For an infinite 1D periodic structure with unit cells consisting of two planar slabs of magnetodielectric materials, the electric field – as well as magnetic field, electric flux density, magnetic flux density, polarization, and magnetization – can be expressed as infinite series of Floquet-Bloch space harmonics. We discuss how space harmonic permittivity and permeability can be expressed in seemingly different though equivalent forms, and we investigate these parameters of the zeroeth order space harmonic for a particular 1D periodic structure that is based on a previously reported 3D periodic structure with unit cells containing a magneto-dielectric sphere.

Original language	English
Title of host publication	Proceedings of 8th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS 2014)
Publisher	IEEE
Publication date	2014
Pages	70-72
ISBN (Print)	978-1-4799-3450-8
DOIs	https://doi.org/10.1109/MetaMaterials.2014.6948598
Publication status	Published - 2014
Event	8th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics - DTU, Kgs. Lyngby, Denmark Duration: 25 Aug 2014 → 30 Aug 2014 Conference number: 8 http://congress2014.metamorphose-vi.org/

Conference

Conference	8th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics
Number	8
Location	DTU
Country/Territory	Denmark
City	Kgs. Lyngby
Period	25/08/2014 → 30/08/2014
Internet address	http://congress2014.metamorphose-vi.org/

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10.1109/MetaMaterials.2014.6948598

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title = "Permittivity and Permeability for Floquet-Bloch Space Harmonics in Infinite 1D Magneto-Dielectric Periodic Structures",

abstract = "For an infinite 1D periodic structure with unit cells consisting of two planar slabs of magnetodielectric materials, the electric field – as well as magnetic field, electric flux density, magnetic flux density, polarization, and magnetization – can be expressed as infinite series of Floquet-Bloch space harmonics. We discuss how space harmonic permittivity and permeability can be expressed in seemingly different though equivalent forms, and we investigate these parameters of the zeroeth order space harmonic for a particular 1D periodic structure that is based on a previously reported 3D periodic structure with unit cells containing a magneto-dielectric sphere.",

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booktitle = "Proceedings of 8th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS 2014)",

publisher = "IEEE",

address = "United States",

note = "8th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics, Metamaterials 2014 ; Conference date: 25-08-2014 Through 30-08-2014",

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Breinbjerg, O & Yaghjian, AD 2014, Permittivity and Permeability for Floquet-Bloch Space Harmonics in Infinite 1D Magneto-Dielectric Periodic Structures. in Proceedings of 8th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS 2014). IEEE, pp. 70-72, 8th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics, Kgs. Lyngby, Denmark, 25/08/2014. https://doi.org/10.1109/MetaMaterials.2014.6948598

Permittivity and Permeability for Floquet-Bloch Space Harmonics in Infinite 1D Magneto-Dielectric Periodic Structures. / Breinbjerg, Olav; Yaghjian, Arthur D.
Proceedings of 8th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS 2014). IEEE, 2014. p. 70-72.

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

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N2 - For an infinite 1D periodic structure with unit cells consisting of two planar slabs of magnetodielectric materials, the electric field – as well as magnetic field, electric flux density, magnetic flux density, polarization, and magnetization – can be expressed as infinite series of Floquet-Bloch space harmonics. We discuss how space harmonic permittivity and permeability can be expressed in seemingly different though equivalent forms, and we investigate these parameters of the zeroeth order space harmonic for a particular 1D periodic structure that is based on a previously reported 3D periodic structure with unit cells containing a magneto-dielectric sphere.

AB - For an infinite 1D periodic structure with unit cells consisting of two planar slabs of magnetodielectric materials, the electric field – as well as magnetic field, electric flux density, magnetic flux density, polarization, and magnetization – can be expressed as infinite series of Floquet-Bloch space harmonics. We discuss how space harmonic permittivity and permeability can be expressed in seemingly different though equivalent forms, and we investigate these parameters of the zeroeth order space harmonic for a particular 1D periodic structure that is based on a previously reported 3D periodic structure with unit cells containing a magneto-dielectric sphere.

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DO - 10.1109/MetaMaterials.2014.6948598

M3 - Article in proceedings

SN - 978-1-4799-3450-8

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BT - Proceedings of 8th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS 2014)

PB - IEEE

T2 - 8th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics

Y2 - 25 August 2014 through 30 August 2014

ER -

Permittivity and Permeability for Floquet-Bloch Space Harmonics in Infinite 1D Magneto-Dielectric Periodic Structures

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