Beam diagnostics are essential to the operation of hadron particle accelerators. They are used to tune the accelerator, verify beamline modes, ensure minimal beam losses, and characterize and monitor the beam quality. By adding and improving the measurements of the beam properties, the operation of the accelerator can be better informed and improved. Addition and improved measurements of the beam properties can be realized by developing new analysis techniques for the existing diagnostic devices.This dissertation presents further analysis of measurements from two devices. Firstly, it discusses converting phase space measurements taken with an Allison scanner from position-angle coordinates to action-phase coordinates. In this coordinate system, the distribution is stable under changes to linear optics. This allows for direct comparison of phase space measurements taken at different locations or with different transverse focusing. In addition, this stability can make it easier to visualize and quantify the beam tails.Secondly, beam profile measurements taken with Beam Position Monitors (BPMs) by measuring multiple harmonics are presented. The measurements are primarily focused on non-relativistic beams where the transverse and longitudinal profiles can be fit to the BPM signals. While these measurements were unsuccessful, it understood why they failed and how to avoid the same issues for future measurements.Lastly, the design of a test stand to calibrate BPMs for non-relativistic effects is presented. The test stand relies on a helical transmission line can can propagate signals with phase velocity of 0.03c. It is shown, with the appropriate geometry, that the phase velocity, pulse propagation, and field profiles from the helical transmission line can match the those of a non-relativistic bunch.
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