Charged particle reflection in a magnetic mirror

We study the reflection of electrons in a magnetic field mirror. It is a field with a gradient from a lowest value B0 to a largest one Bm. With this purpose, Montecarlo simulations are made. We use a number of 5,000 particles with random pitch angles. The frequency distribution of these random values follows a Gaussian distribution centered at θ = 0 and with standard deviation σ. Various values of σ and also different values of the B0 /Bm ratio are used in the simulations. The simulations show that σ has an important influence on the confinement of charged particles, for the different B0 /Bm ratios here studied. However, the percent of reflected particles differs from a B0 /Bm ratio to another in the whole range of σ, although for σ = 10 the differences between different ratios are small (<5%). The number of reflected particles increases very rapidly with σ, in the range of 10° to 40°. For the σ range from 20° to 40°, the percent of reflected particles is ≤ 20% larger for B0 /Bm = 0.10 than for the 0.55 ratio.