Portland State University. Department of Electrical Engineering
Date of Award
Master of Science (M.S.) in Electrical and Computer Engineering
1 online resource (76 p.)
Wave equation -- Numerical solutions, Gaussian beams, Plasma (Ionized gases)
Deformation of a Gaussian beam is observed when it propagates through a plasma. Self-focusing of the beam may be observed when the intensity of the laser increases the index of refraction of plasma gas.
Due to the difficulties in solving the nonlinear partial differential equation in Maxwell's wave equation, a numerical technique has been developed in favor of the traditional analytical method. Result of numerical solution shows consistency with the analytical method. This further suggests the validity of the numerical technique employed.
A three dimensional graphics package was used to depict the numerical data obtained from the calculation. Plots from the data further show the deformation of the Gaussian beam as it propagates through the plasma gas.
Huang, Jeffrey, "Numerical solutions of continuous wave beam in nonlinear media" (1987). Dissertations and Theses. Paper 3742.