A Mathematical Developed Model for Light Ion Beam Interactions with Plasma

TL;DR

This paper develops a mathematical model for light ion beam interactions with plasma, analyzing energy loss, magnetic effects, and decay processes to improve understanding of ion beam behavior in high-energy applications like ICF.

Contribution

It introduces a comprehensive set of formulas describing ion beam properties, energy loss, self-magnetism, and decay processes during plasma interactions, advancing theoretical understanding.

Findings

Maximum energy emission characterized by Bethe-Bloch analysis.

Self-magnetism induced by azimuthal rotation of ion beams.

Energy decay analyzed including D-D nuclear reactions.

Abstract

Light Ion Beams are providing an efficient system for high energy applications using confinement reaction (ICF). This paper will demonstrate the mathematical properties of ion beams leaving ICF reactors and hitting a solid target. A single Hydrogen heavy nucleus current has been demonstrated using Child-Langmuir in an infinite radius as it leaves the reactor chamber. The maximum energy emission has been recorded by examining the total energy loss of the beam pulse using Bethe-Bloch (dE/dx) where it hits the target and forming plasma. Also the target has been analysed by measuring the induction energy, drift and collision current. A set of formula has been developed for charge and current neutrality, the ion beam is being rotated in azimuthal direction, this induces self-magnetism in this purposes. The concept of self-magnetism Er and Br also has been introduced to the rotating-propagating beam inverse to the beam current through ionized and neutral gas. This has been advanced by developing a set of magnetic field equations. And finally by introducing the particles' decay including D-D Reaction briefly in an inelastic collision the total amount of energy has been examined.