TestParticle.jl

This package provides test particle tracing in an analytic or numerical electromagnetic field via DifferentialEquations.jl.

Installation

In the Julia REPL,

julia> ]
pkg> add TestParticle

Visualization via Makie and Plots are supported via recipes. Please refer to each visualization library's documentation for installations.

Usage

TestParticle.jl is designed to work together with OrdinaryDiffEq.jl. For example, a proton in a static magnetic field can be traced in SI units via

using TestParticle, OrdinaryDiffEq, StaticArrays
# Magnetic field
B(x) = SA[0, 0, 1e-8]
# Electric field
E(x) = SA[0,0, 0.0, 0.0]
# Initial conditions
stateinit = let x0 = [1.0, 0.0, 0.0], v0 = [0.0, 1.0, 0.1]
   [x0..., v0...]
end
# Time span
tspan = (0, 20)
# Assemble particle + fields
param = prepare(E, B, species=Proton)
prob = ODEProblem(trace!, stateinit, tspan, param)
# Trace trajectory and save positions & velocities
sol = solve(prob, Vern9())

Native Boris particle pusher also follows a similar interface:

dt = 3e-11 # fixed time step
savestepinterval = 10
prob = TraceProblem(stateinit, tspan, param)
sol = TestParticle.solve(prob; dt, savestepinterval)[1]

For plotting with Makie,

using GLMakie

plot(sol, idxs=(1, 2, 3))

More tutorials and examples can be found in the doc.