Fast readout algorithm for cylindrical beam position monitors providing good accuracy for particle bunches with large...

Area of Science:

• Particle accelerator physics
• Beam instrumentation
• Signal processing

Background:

• Accurate measurement of particle beam position is crucial for accelerator operation and research.
• Existing methods for calculating beam coordinates can be complex and computationally intensive.

Purpose of the Study:

• To develop a simple, analytically correct algorithm for calculating relativistic "pencil" beam coordinates.
• To assess the algorithm's performance with realistic beam position monitors (BPMs) and non-relativistic beams.
• To demonstrate the algorithm's data acquisition speed advantage through a Field Programmable Gate Array (FPGA) implementation.

Main Methods:

• Development of an analytical algorithm for ideal cylindrical BPMs with infinitesimal pickup electrodes (PUEs).
• Simulation of realistic BPMs with finite width PUEs to evaluate algorithm deviations.
• Application of empirically determined correction terms to minimize deviations.
• Testing with non-relativistic beam simulations and real BPM data from the Cornell Preinjector.

Main Results:

• The algorithm provides analytically correct calculations for ideal BPMs.
• Simulations show surprisingly small deviations for realistic BPMs with finite PUEs.
• Empirical corrections further reduce deviations.
• A Field Programmable Gate Array (FPGA)-based BPM readout implementation demonstrates significant data acquisition speed advantages.

Conclusions:

• The developed algorithm offers an accurate and efficient method for determining relativistic beam coordinates.
• The algorithm is robust and performs well even with realistic BPM configurations and non-relativistic beams.
• The FPGA implementation highlights the practical benefits for high-speed data acquisition in particle accelerators.