2000 character limit reached
The electromagnetic symmetry sphere: a framework for energy, momentum, spin and other electromagnetic quantities
Published 24 May 2024 in physics.optics | (2405.15718v2)
Abstract: Electromagnetic quantities such as energy density, momentum, spin, and helicity bring meaning and intuition to electromagnetism and possess intricate interrelations, particularly prominent in complex non-paraxial near-fields. These quantities are conventionally expressed using electric and magnetic field vectors, yet the electric-magnetic basis is one among other often overlooked alternatives, including parallel-antiparallel and right-left-handed helicity bases, related to the parity and duality symmetries of electromagnetism. Projecting time-harmonic electromagnetic fields into a variety of bases allows re-interpreting established quantities and reveals underlying mathematical structures: a Bloch sphere which describes asymmetries in electromagnetic energy, a systematic path to unify and uncover relations between electromagnetic quantities, and the unlocking of symmetry-driven equations in light-matter interaction.
- A. Aiello and M. V. Berry, Note on the helicity decomposition of spin and orbital optical currents, Journal of Optics 17, 062001 (2015).
- S. M. Barnett, R. P. Cameron, and A. M. Yao, Duplex symmetry and its relation to the conservation of optical helicity, Physical Review A 86, 013845 (2012).
- K. Y. Bliokh and F. Nori, Characterizing optical chirality, Physical Review A 83, 10.1103/PhysRevA.83.021803 (2011).
- Y. Tang and A. E. Cohen, Optical chirality and its interaction with matter, Physical Review Letters 104, 10.1103/PhysRevLett.104.163901 (2010).
- A. J. Vernon, M. R. Dennis, and F. J. Rodríguez-Fortuño, 3d zeros in electromagnetic fields, Optica 10, 1231 (2023b).
- K. Y. Bliokh, Y. S. Kivshar, and F. Nori, Magnetoelectric effects in local light-matter interactions, Phys. Rev. Lett. 113, 033601 (2014a).
- K. Y. Bliokh, A. Y. Bekshaev, and F. Nori, Extraordinary momentum and spin in evanescent waves, Nature Communications 5, 10.1038/ncomms4300 (2014b).
- I. Białynicki-Birula, On the wave function of the photon, Acta Physica Polonica A 86, 97–116 (1994).
- I. Bialynicki-Birula and Z. Bialynicka-Birula, Vortex lines of the electromagnetic field, Physical Review A 67, 062114 (2003).
- G. Kaiser, Helicity, polarization and riemann–silberstein vortices, Journal of Optics A: Pure and Applied Optics 6, S243–S245 (2004).
- I. Fernandez-Corbaton, Helicity and duality symmetry in light matter interactions: Theory and applications, Ph.D. thesis, Macquarie University (2014).
- J. L. Trueba and A. F. Rañada, The electromagnetic helicity, European Journal of Physics 17, 141–144 (1996).
- G. N. Afanasiev and Y. P. Stepanovsky, The helicity of the free electromagnetic field and its physical meaning, Il Nuovo Cimento A 109, 271–279 (1996).
- M. Nieto-Vesperinas and X. Xu, Reactive helicity and reactive power in nanoscale optics: Evanescent waves. kerker conditions. optical theorems and reactive dichroism, Physical Review Research 3, 043080 (2021).
- K. Y. Bliokh and F. Nori, Transverse spin of a surface polariton, Physical Review A 85, 061801 (2012).
- K. Y. Bliokh and F. Nori, Transverse and longitudinal angular momenta of light, Physics Reports 592, 1–38 (2015).
- A. Y. Bekshaev, K. Y. Bliokh, and F. Nori, Transverse spin and momentum in two-wave interference, Physical Review X 5, 10.1103/PhysRevX.5.011039 (2015).
- L. Wei and F. J. Rodríguez-Fortuño, Momentum-space geometric structure of helical evanescent waves and its implications on near-field directionality, Physical Review Applied 13, 014008 (2020).
- L. Wei, A. V. Zayats, and F. J. Rodríguez-Fortuño, Interferometric evanescent wave excitation of a nanoantenna for ultrasensitive displacement and phase metrology, Physical Review Letters 121, 193901 (2018a).
- X. Xu and M. Nieto-Vesperinas, Azimuthal imaginary poynting momentum density, Physical Review Letters 123, 233902 (2019).
- M. V. Berry, Optical currents, Journal of Optics A: Pure and Applied Optics 11, 10.1088/1464-4258/11/9/094001 (2009).
- D. E. Soper, Classical Field Theory (Wiley, 1976).
- A. Y. Bekshaev, Transverse spin and the hidden vorticity of propagating light fields, Journal of the Optical Society of America A 39, 1577 (2022).
- R. P. Cameron and S. M. Barnett, Electric–magnetic symmetry and noether's theorem, New J. Phys. 14, 123019 (2012).
- R. P. Cameron, S. M. Barnett, and A. M. Yao, Optical helicity of interfering waves, Journal of Modern Optics 61, 25–31 (2014).
- M. Nieto-Vesperinas, Optical theorem for the conservation of electromagnetic helicity: Significance for molecular energy transfer and enantiomeric discrimination by circular dichroism, Physical Review A 92, 023813 (2015a).
- M. Nieto-Vesperinas, Optical torque: Electromagnetic spin and orbital-angular-momentum conservation laws and their significance, Physical Review A 92, 043843 (2015b).
- L. D. Landau and E. M. Lifšic, Course of theoretical physics, 4th ed., Vol. Vol. 2 (Pergamon Press, Oxford [u.a.], 1994).
- R. W. Ziolkowski, Propagation in and scattering from a matched metamaterial having a zero index of refraction, Physical Review E 70, 046608 (2004).
- A. M. Mahmoud and N. Engheta, Wave–matter interactions in epsilon-and-mu-near-zero structures, Nature communications 5, 5638 (2014).
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