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A conformally invariant derivation of average electromagnetic helicity

Fernandez-Corbaton, I. 1
1 Institut für Nanotechnologie (INT), Karlsruher Institut für Technologie (KIT)

Abstract (englisch):
The average helicity of a given electromagnetic field measures the difference between the number of left- and right-handed photons contained in the field. Here, the average helicity is derived using the conformally invariant inner product for Maxwell fields. Several equivalent integral expressions in momentum space, in (r,t) space, and in the time-harmonic (r,ω) space are obtained, featuring Riemann–Silberstein-like fields and potentials. The time-harmonic expressions can be directly evaluated using the outputs of common numerical solvers of Maxwell equations. The results are shown to be equivalent to the well-known volume integral for the average helicity, featuring the electric and magnetic fields and potentials


Verlagsausgabe §
DOI: 10.5445/IR/1000100832
Veröffentlicht am 12.12.2019
Originalveröffentlichung
DOI: 10.3390/sym11111427
Scopus
Zitationen: 3
Web of Science
Zitationen: 3
Dimensions
Zitationen: 3
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Nanotechnologie (INT)
Publikationstyp Zeitschriftenaufsatz
Publikationsdatum 01.11.2019
Sprache Englisch
Identifikator ISSN: 2073-8994
KITopen-ID: 1000100832
HGF-Programm 43.23.01 (POF III, LK 01) Advanced Optical Lithography+Microscopy
Erschienen in Symmetry
Verlag MDPI
Band 11
Heft 11
Seiten Article No.1427
Schlagwörter electromagnetic helicity; conformal symmetry
Nachgewiesen in Web of Science
Scopus
Dimensions
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