Electromagnetic duality symmetry and helicity conservation for the macroscopic maxwell's equations

Ivan Fernandez-Corbaton; Xavier Zambrana-Puyalto; Nora Tischler; Xavier Vidal; Mathieu L. Juan; Gabriel Molina-Terriza

doi:10.1103/PhysRevLett.111.060401

Electromagnetic duality symmetry and helicity conservation for the macroscopic maxwell's equations

Ivan Fernandez-Corbaton^*, Xavier Zambrana-Puyalto, Nora Tischler, Xavier Vidal, Mathieu L. Juan, Gabriel Molina-Terriza

^*Corresponding author for this work

ARC Centre of Excellence for Engineered Quantum Systems (EQuS)

Research output: Contribution to journal › Article › peer-review

172 Citations (Scopus)

280 Downloads (Pure)

Abstract

In this Letter, we show that the electromagnetic duality symmetry, broken in the microscopic Maxwell's equations by the presence of charges, can be restored for the macroscopic Maxwell's equations. The restoration of this symmetry is shown to be independent of the geometry of the problem. These results provide a tool for the study of light-matter interactions within the framework of symmetries and conservation laws. We illustrate its use by determining the helicity content of the natural modes of structures possessing spatial inversion symmetries and by elucidating the root causes for some surprising effects in the scattering off magnetic spheres.

Original language	English
Article number	060401
Pages (from-to)	1-5
Number of pages	5
Journal	Physical Review Letters
Volume	111
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevLett.111.060401
Publication status	Published - 7 Aug 2013

Bibliographical note

Fernandez-Corbaton, I., Zambrana-Puyalto, X., Tischler, N., Minovich, A., Vidal, X., Juan, M. L., & Molina-Terriza, G. (2013). Electromagnetic duality symmetry and helicity conservation for the macroscopic Maxwell's equations. Physical review letters, 111(6), 060401, 2013. Copyright 2013 by the American Physical Society. The original article can be found at http://dx.doi.org/10.1103/10.1103/PhysRevLett.111.060401

Access to Document

10.1103/PhysRevLett.111.060401

Publisher version (open access).pdfFinal published version, 262 KB

Cite this

@article{cc18a533a9cd4a6da760826aa9954816,

title = "Electromagnetic duality symmetry and helicity conservation for the macroscopic maxwell's equations",

abstract = "In this Letter, we show that the electromagnetic duality symmetry, broken in the microscopic Maxwell's equations by the presence of charges, can be restored for the macroscopic Maxwell's equations. The restoration of this symmetry is shown to be independent of the geometry of the problem. These results provide a tool for the study of light-matter interactions within the framework of symmetries and conservation laws. We illustrate its use by determining the helicity content of the natural modes of structures possessing spatial inversion symmetries and by elucidating the root causes for some surprising effects in the scattering off magnetic spheres.",

author = "Ivan Fernandez-Corbaton and Xavier Zambrana-Puyalto and Nora Tischler and Xavier Vidal and Juan, \{Mathieu L.\} and Gabriel Molina-Terriza",

note = "Fernandez-Corbaton, I., Zambrana-Puyalto, X., Tischler, N., Minovich, A., Vidal, X., Juan, M. L., \& Molina-Terriza, G. (2013). Electromagnetic duality symmetry and helicity conservation for the macroscopic Maxwell's equations. Physical review letters, 111(6), 060401, 2013. Copyright 2013 by the American Physical Society. The original article can be found at http://dx.doi.org/10.1103/10.1103/PhysRevLett.111.060401",

year = "2013",

month = aug,

day = "7",

doi = "10.1103/PhysRevLett.111.060401",

language = "English",

volume = "111",

pages = "1--5",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "6",

}

TY - JOUR

T1 - Electromagnetic duality symmetry and helicity conservation for the macroscopic maxwell's equations

AU - Fernandez-Corbaton, Ivan

AU - Zambrana-Puyalto, Xavier

AU - Tischler, Nora

AU - Vidal, Xavier

AU - Juan, Mathieu L.

AU - Molina-Terriza, Gabriel

N1 - Fernandez-Corbaton, I., Zambrana-Puyalto, X., Tischler, N., Minovich, A., Vidal, X., Juan, M. L., & Molina-Terriza, G. (2013). Electromagnetic duality symmetry and helicity conservation for the macroscopic Maxwell's equations. Physical review letters, 111(6), 060401, 2013. Copyright 2013 by the American Physical Society. The original article can be found at http://dx.doi.org/10.1103/10.1103/PhysRevLett.111.060401

PY - 2013/8/7

Y1 - 2013/8/7

N2 - In this Letter, we show that the electromagnetic duality symmetry, broken in the microscopic Maxwell's equations by the presence of charges, can be restored for the macroscopic Maxwell's equations. The restoration of this symmetry is shown to be independent of the geometry of the problem. These results provide a tool for the study of light-matter interactions within the framework of symmetries and conservation laws. We illustrate its use by determining the helicity content of the natural modes of structures possessing spatial inversion symmetries and by elucidating the root causes for some surprising effects in the scattering off magnetic spheres.

AB - In this Letter, we show that the electromagnetic duality symmetry, broken in the microscopic Maxwell's equations by the presence of charges, can be restored for the macroscopic Maxwell's equations. The restoration of this symmetry is shown to be independent of the geometry of the problem. These results provide a tool for the study of light-matter interactions within the framework of symmetries and conservation laws. We illustrate its use by determining the helicity content of the natural modes of structures possessing spatial inversion symmetries and by elucidating the root causes for some surprising effects in the scattering off magnetic spheres.

UR - https://www.scopus.com/pages/publications/84881515002

U2 - 10.1103/PhysRevLett.111.060401

DO - 10.1103/PhysRevLett.111.060401

M3 - Article

C2 - 23971539

AN - SCOPUS:84881515002

SN - 0031-9007

VL - 111

SP - 1

EP - 5

JO - Physical Review Letters

JF - Physical Review Letters

IS - 6

M1 - 060401

ER -

Electromagnetic duality symmetry and helicity conservation for the macroscopic maxwell's equations

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this