Collision of two Hopfions

Abstract

We study the collision of two hopfions or Hopf-Rañada electromagnetic fields. The superposition of two of such fields, travelling in opposite directions, yields different topology for the electric and magnetic field lines. Controlling the angular momentum of such fields, we can control the topology of the flow associated to the field lines, and the energy distribution. The concept of electromagnetic helicity and the exchange between its magnetic and electric components are used to explain the different behaviours observed when the angular momentum is reversed.

References in corpus (4)

• Classification of Electromagnetic and Gravitational Hopfions by Algebraic Type
• New knotted solutions of Maxwell's equations
• Self-organizing Knotted Magnetic Structures in Plasma
• Motion of charged particles in an electromagnetic knot

Cited by in corpus (5)

• Spin-Orbital momentum decomposition and helicity exchange in a set of non-null knotted electromagnetic fields
• On the existence of the field line solutions of the Einstein-Maxwell equations
• Numerical simulation of knotted solutions for Maxwell equations
• The method of Fourier transforms applied to electromagnetic knots
• Nonlinear dynamics of a charged particle in a strong non-null knot wave background