Optical helicity and Hertz vectors
arXiv:1802.10485 · doi:10.1016/j.physleta.2018.05.012
Abstract
We study the conserved quantity associated with the dual symmetry of the Maxwell equations, called the optical helicity, by means of transverse Hertz vectors. In the presence of charges, its evolution yields the integral of which is the anomaly term for chiral fermions. We also discuss the helicity change in condensed matter systems where topological magnetoelectric effect emerges. An alternative expression of the optical helicity is also found. Lastly, a dual symmetric Hertz Lagrangian is constructed and its conserved charge is derived.
arXiv comment12 pages. Presentation improved, references updated. Matches the published version
References in corpus (16)
- Topological Field Theory of Time-Reversal Invariant Insulators
- Topological response in Weyl semimetals and the chiral anomaly
- Dual electromagnetism: Helicity, spin, momentum, and angular momentum
- Primordial Hypermagnetic Fields and Triangle Anomaly
- Electromagnetic duality symmetry and helicity conservation for the macroscopic Maxwell's equations (previously "Experimental demonstration of electromagnetic duality symmetry breaking")
- Magnetoelectric Effects in Local Light-Matter Interactions
- The role of the Riemann-Silberstein vector in classical and quantum theories of electromagnetism
- Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly
- Photon wave function
- Electromagnetic helicity in complex media
- Spacetime algebra as a powerful tool for electromagnetism
- Aspects of Berry phase in QFT
- Quantum-mechanical description of optical beams
- Duality and helicity: the photon wave function approach
- Axion crystals
- Duality and helicity: a symplectic viewpoint