Title

Transients in Beam Position Control Systems for Optical Waveguides

Document Type

Article

Date of Original Version

1-1-1974

Abstract

Beam position transients in self-aligning beam waveguides are studied. The control system senses the beam position, rn, at each lens and introduces a corrective term Cn−1 to the transverse position of the preceding lens. The Laplace transform of the beam position at the nth lens, for the case of a general control function H(s), relating rn and Cn−1, is found. The special case of a confocal guide, where the control function is an integrator with gain H(s) = g/s, results in a time dependence of the beam positions at the lenses, equal to the product of a decaying exponential and Laguerre polynomials. The case where the control function H(s) represents a second-order system has been simulated on a digital computer. The results show that overshoot can be controlled by increasing the damping term in H (s). Copyright © 1974 by The Institute of Electrical and Electronics Engineers, Inc.

Publication Title

IEEE Transactions on Automatic Control

Volume

19

Issue

1

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