Accelerator Physics Negative Mass Instability

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Presentation transcript:

Accelerator Physics Negative Mass Instability G. A. Krafft Old Dominion University Jefferson Lab Lecture 15 G. A. Krafft Jefferson Lab

Negative Mass Instability Simplified argument: assume longitudinal clump on otherwise uniform beam Particles pushed away from clump centroid If above transition, come back LATER if ahead of clump center and EARLIER if behind it The clump is therefore enhanced! INSTABILITY; particles act as if they have negative mass (they accelerate backward compared to force!) θ

Longitudinal Impedance

Frequency Domain

NMI Simple Analysis

Linearized Continuity Equation

Oscillation Frequency