Date of Award

1972

Degree Type

Thesis

Degree Name

Master of Science in Electrical Engineering (MSEE)

Department

Electrical and Computer Engineering

First Advisor

James C. Daly

Abstract

Beam position transients in self-aligning beam waveguides are studied. The control system senses the beam position at each lens and introduces a correction to the transverse position of the. Preceding lens. The Laplace Transform of the beam position response at some (k + n)th lens as a result of a disturbance of the kth lens is found. The special case of the confocal waveguide using the integrator with gain as a control results in a time function of the beam position at the lenses equal to the product of a decaying exponential and Laguerre Polynomials. The second-order controlled waveguide has been simulated with the results showing that overshoot can be controlled by increasing the damping term in the control. An alternative control structure is presented which isolates the disturbed element and its correction from the remaining controls resulting in the simple exponential decay of the path perturbation using the integrator with gain as the control.

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