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Electrical and Computer Engineering

Theses/Dissertations

Wave equation -- Numerical solutions

Publication Year

Articles 1 - 2 of 2

Full-Text Articles in Engineering

Off-Axis Multimode Light Beam Propagation In Tapered Lenslike Media Including Those With Spatial Gain Or Loss Variation, Anthony Alan Tovar Jan 1988

Off-Axis Multimode Light Beam Propagation In Tapered Lenslike Media Including Those With Spatial Gain Or Loss Variation, Anthony Alan Tovar

Dissertations and Theses

The propagation of light beams in inhomogeneous dielectric media is considered. The derivation begins with first principles and remains general enough to include off-axis asymmetric multimode input beams in tapered lenslike media with spatial variations of gain or loss. The tapering of lenslike media leads to a number of important applications. A parabolic taper is proposed as a model for a heated axially stretched fiber taper, and beams in such media are fully characterized. Other models are proposed by the concatenation of a parabola with other taper functions.


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 …