Enhancement of EMAG: a 2-D electrostatic and magnetostatic solver for MATLAB
Wells, David Patrick
Lebaric, Jovan E.
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This thesis presents the theory and development involved in the enhancement ofEMAG, a 2-D electrostatic and magnetostatic solver, to allow it to solve problems involving rotational symmetry. EMAG 2.0 solves rotationally symmetric problems using discrete forms of the Poisson equations for electrostatics and magnetostatics in cylindrical coordinates. EMAG 2.0 is written entirely in MA TLAB script format. It allows users to define electrostatic or magnetostatic problems on a 2-D grid and solve the problem for the potentials at uniformly spaced nodes on the grid. Graphical displays allow the users to visualize contour or mesh plots of potential, vector plots of electric or magnetic fields and to calculate the charge or current enclosed in a user defmed region of the grid. The EMAG 2.0 computational grid has a simulated open boundary which is generated by the Transparent Grid Termination (TOT) technique. This boundary is unique to the type of system being solved. This thesis presents and compares two different methods for generating this boundary, one involving a probabilistic model of the system and the other using a direct matrix solution approach. Optimization of the Transparent Grid Termination technique is also explored.
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