A Coherence-Geometric Interpretation of Beam Emittance, Synchrotron Output, and Wakefield Structure
Internal ID: CGI-RSR-000016
Document Type: Research Paper / Technical Note
Status: Public
Domains: Physics
Research Topics: Accelerator Physics, Light-Source Physics, Synchrotron Radiation, Beam Emittance
Abstract
This paper develops a coherence-geometric interpretation of beam emittance, coherent synchrotron output, beam cooling, wakefield structure, and accelerator diagnostics. Rather than treating beam coherence only as a statistical property of a particle ensemble, Coherence Geometry (CG) interprets beam quality as an observable projection of organized structure in a constrained phase-space system.
In this view, low emittance corresponds to a more coherent basin-like organization of the beam state, while emittance growth, microbunching, wakefield degradation, and spectral broadening may indicate deformation, fragmentation, or drift of that organization. Undulators are interpreted as structured readout devices: they do not create beam coherence from nothing, but convert organization already present in the beam into emitted radiation. Similarly, beam cooling is described as coherence refinement, and wakefield acceleration is interpreted as coherence seeding by a structured driver.
The paper identifies a pathway for translating accelerator variables, diagnostics, and control strategies into coherence-geometric terms. It does not replace established beam-dynamics models; instead, it indicates how those models may be complemented by a CG formulation in which beam preparation, transport, radiation, cooling, and instability are treated as expressions of coherence formation, preservation, transfer, and loss.
Available Document
DOI: 10.5281/zenodo.20133766
Citation:
Petersen, B. L., & Johnson, R. K. (2026). A Coherence-Geometric Interpretation of Beam Emittance, Synchrotron Output, and Wakefield Structure. Zenodo. https://doi.org/10.5281/zenodo.20133766
Source Code and Supporting Materials
None.
Summary and Notes
This is a conceptual bridge note for accelerator and light-source physics, supplied as a reference for how Coherence Geometry can be interpreted in relation to beam emittance, coherent radiation, wakefield structure, cooling, and diagnostics.
Related Work
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