We introduce a diagnostic for measuring the transverse phase space (TPS) and transverse second moments of a particle beam in a single shot. The diagnostic consists of a slit followed by a simple projection beam line to project the TPS onto an imaging screen. The beam line is composed of a skew quadrupole magnet followed by a normal quadrupole magnet with an imaging screen at the end. The skew quadrupole generates a coupling between the initial $x$ and the final $y$, while the normal quadrupole removes the correlation between the initial $x$ and the initial $x^{\prime }$. Thus, the initial $(x,x^{\prime })$ is mapped onto the final $(x,y)$. The slit is needed before the projection beam line to remove the initial $(y,y^{\prime })$ contribution from the final $(x,y)$ image on the screen. We present simulation studies and a demonstration of the diagnostic with an experiment performed at Argonne Wakefield Accelerator facility. We also discuss the method’s limitations.

• Received 3 March 2020
• Revised 26 October 2020
• Accepted 7 January 2021

DOI:https://doi.org/10.1103/PhysRevAccelBeams.24.012802

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Published by the American Physical Society