An analog computer for the calculation of particle trajectories and beam emittance envelopes
Date
1969
Authors
Al-Qazzaz, Nadhim
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Abstract
An analog computer system that calculates the trajectories of charged particles emitted from a source and moving under the influence of magnetic fields in a beam transport system, was extended so that it is capable of calculating the extent of a beam consisting of a group of charged particle trajectories, that is, the beam envelope. For this purpose, a function generator unit was developed and some modifications were made in the computer.
This computer can be used to calculate beam envelopes, as well as particle trajectories, for a beam transport system containing nine distinct active elements in both the horizontal and vertical planes. It can operate repetitively in two speeds and the output can be displayed on an oscilloscope, recorded graphically on an xy-plotter, or read on a digital voltmeter.
Sample problems and an example on the use of the computer for designing beam transport systems are included. The error was found by comparison to results obtained on a digital computer to be within (2.0% ± 0.2 volts) for trajectory calculations and (2.4% ± 0.2 volts) for envelope calculations. The constant represents the noise in the system.