Transients in Beam Position Control Systems for Optical Waveguides
Date of Original Version
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.
IEEE Transactions on Automatic Control
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.