2000 character limit reached
The electromagnetic symmetry sphere: a framework for energy, momentum, spin and other electromagnetic quantities (2405.15718v2)
Published 24 May 2024 in physics.optics
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).
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.