Vortex Lines of the Electromagnetic Field Physical
نویسنده
چکیده
Relativistic definition of the phase of the electromagnetic field, involving two Lorentz invariants, based on the Riemann-Silberstein vector is adopted to extend our previous study @I. Bialynicki-Birula, Z. BialynickaBirula, and C. Śliwa, Phys. Rev. A 61, 032110 ~2000!# of the motion of vortex lines embedded in the solutions of wave equations from Schrödinger wave mechanics to Maxwell theory. It is shown that time evolution of vortex lines has universal features; in Maxwell theory it is very similar to that in Schrödinger wave mechanics. Connection with some early work on geometrodynamics is established. Simple examples of solutions of the Maxwell equations with embedded vortex lines are given. Vortex lines in the Laguerre-Gaussian beams are treated in some detail.
منابع مشابه
Electromagnetic vortex lines riding atop null solutions of the Maxwell equations
New method of introducing vortex lines of the electromagnetic field is outlined. The vortex lines arise when a complex Riemann-Silberstein vector (E + iB)/ √ 2 is multiplied by a complex scalar function φ. Such a multiplication may lead to new solutions of the Maxwell equations only when the electromagnetic field is null, i.e. when both relativistic invariants vanish. In general, zeroes of the ...
متن کاملar X iv : p hy si cs / 0 30 50 12 v 1 4 M ay 2 00 3 Vortex lines of the electromagnetic field
Relativistic definition of the phase of the electromagnetic field, involving two Lorentz invariants, based on the Riemann-Silberstein vector is adopted to extend our previous study [I. BialynickiBirula, Z. Bialynicka-Birula and C. Śliwa, Phys. Rev. A 61, 032110 (2000)] of the motion of vortex lines embedded in the solutions of wave equations from Schrödinger wave mechanics to Maxwell theory. It...
متن کاملUsing Josephson vortex lattices to control terahertz radiation: tunable transparency and terahertz photonic crystals.
The Josephson vortex (JV) lattice is a periodic array that scatters electromagnetic waves in the THz-frequency range. We show that JV lattices can produce a photonic band-gap structure (THz photonic crystal) with easily tunable forbidden zones controlled by the in-plane magnetic field. The scattering of electromagnetic waves by JVs results in a strong magnetic-field dependence of the reflection...
متن کاملPinning and transport of cyclotron (Landau) orbits by electromagnetic vortices
Electromagnetic waves with phase defects in the form of vortex lines combined with a constant magnetic field are shown to pin down cyclotron orbits Landau orbits in the quantum mechanical setting of charged particles at the location of the vortex. This effect manifests itself in classical theory as a trapping of trajectories and in quantum theory as a Gaussian shape of the localized wave functi...
متن کاملVortex line representation for flows of ideal and viscous fluids [ 1 ]
It is shown that the Euler hydrodynamics for vortical flows of an ideal fluid coincides with the equations of motion of a charged compressible fluid moving due to a self-consistent electromagnetic field. Transition to the La-grangian description in a new hydrodynamics is equivalent for the original Euler equations to the mixed Lagrangian-Eulerian description-the vortex line representation (VLR)...
متن کامل