Beam-Plasma Collective Oscillations in Intense Charged-Particle Beams: Dielectric Response Theory, Langmuir Wave Dispersion, and Unsupervised Detection via Prometheus
This paper establishes a kinetic field theory for beam-plasma collective oscillations in intermediate-energy charged-particle beams, deriving dispersion relations and critical density thresholds that are validated by a Prometheus beta-VAE analyzing particle-in-cell simulation data to confirm predicted signatures like density-tunable resonances and Friedel oscillations.