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Portland State University

Theses/Dissertations

1987

Electrical and Computer Engineering

Wave equation -- Numerical solutions

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Full-Text Articles in Engineering

Numerical Solutions Of Continuous Wave Beam In Nonlinear Media, Jeffrey Huang Jan 1987

Numerical Solutions Of Continuous Wave Beam In Nonlinear Media, Jeffrey Huang

Dissertations and Theses

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 …