CALCULATE THE MAGNETIC FIELD PRODUCED BY HELMHOLTZ COILS USING THE BIOT-SAVART LAW
Felix Diaz Medero, Ernesto Ulloa.
Polytechnic University of Puerto Rico, San Juan, PR.
The electron cyclotron resonance (ECR) plasma device at the Polytechnic University of Puerto Rico consists of an aluminum chamber at high vacuum pressure, the Helmholtz coils used to create a mirror or cusp magnetic field, and a high power microwave source. The electrons are accelerated by the resonant wave-particle interaction. This project consists of the creation of a MatLab code for modeling of the magnetic field created by the Helmholtz coils in the ECR device. This program can be modified to add different Helmholtz coils at any point or angle of the ECR device. The program generates a grid in space and calculates the magnetic field vectors at each point in the grid. The program creates a 3D quiver plot to map the magnetic field vector in the chamber, allowing it to calculate the surface of resonance where the electron cyclotron frequency matches the microwave frequency. The data generated in the program will be used in the leap frog algorithm to calculate the electron cyclotron resonance-particle trajectories. The program will also be used to analyze experimental data for the magnetic field measurements in the presence of the electron cyclotron resonance plasma.