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, e.g., Journal
IEEE Transactions on Automatic Control
Volume
19
Issue
1
Citation/Publisher Attribution
Roy, E. F., and J. C. Daly. "Transients in Beam Position Control Systems for Optical Waveguides." IEEE Transactions on Automatic Control 19, 1 (1974): 57-59. doi: 10.1109/TAC.1974.1100462.
