Modeling and Characterization of Charged Particle Trajectories in an Oscillating Magnetic Field

TL;DR

This paper models and characterizes the trajectories of charged particles in oscillating magnetic fields, revealing recurring pattern behaviors linked to the magnetic field's oscillation period using numerical methods.

Contribution

It introduces a novel analysis of charged particle trajectories in oscillating magnetic fields, which is rarely discussed compared to constant fields.

Findings

Two recurring trajectory patterns every 180 n T_0 interval

Trajectory behavior depends on the magnetic field oscillation period

Modeling uses Euler method with speed correction

Abstract

A constant magnetic field has frequently been discussed and has been known that it can cause a charged particle to form interesting trajectories such as cycloid and helix in presence of electric field, but a changing magnetic field is rarely discussed. In this work, modeling and characterization of charged particle trajectories in oscillating magnetic field is reported. The modeling is performed using Euler method with speed corrector. The result shows that there are two types of trajectory patterns that will recur for every $180 n T_0$ ($n = 0, 1, 2, ..$) in increasing of magnetic field oscillation period, where $T_0$ is about $6.25\times10^{-7}$ s.