The electromagnetic symmetry sphere: a framework for energy, momentum, spin and other electromagnetic quantities
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914862343389184 |
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| author | Golat, Sebastian Vernon, Alex J. Rodríguez-Fortuño, Francisco J. |
| author_facet | Golat, Sebastian Vernon, Alex J. Rodríguez-Fortuño, Francisco J. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15718 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The electromagnetic symmetry sphere: a framework for energy, momentum, spin and other electromagnetic quantities Golat, Sebastian Vernon, Alex J. Rodríguez-Fortuño, Francisco J. Optics 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. |
| title | The electromagnetic symmetry sphere: a framework for energy, momentum, spin and other electromagnetic quantities |
| topic | Optics |
| url | https://arxiv.org/abs/2405.15718 |