Research questions
Some questions that I’m working on, have worked on, or would like to work on at some point.
- Are there smooth equilibrium or near-equilibrium phase space distributions in non-continuous focusing channels?
- I’ve started working on applying generative models to this problem. Some initial progress here.
- Can this Lie transform method be applied to realistic lattices? Could it be combined with the generative modeling approach?
- What about non-continuous nonlinear accelerators?
- Can Gluckstern’s stability analysis be extended to include cross-plane coupling?
- Are there linear-force equilibrium distributions beyond the standard KV distribution in 4D?
- What is the optimal phase space painting path for space charge mitigation?
- How would one approach phase space painting in a nonlinear ring?
- Can eigenpainting mitigate space charge effects, such as halo formation?
- What is the lower limit on the four-dimensional emittance?
- Can a small emittance be preserved over long time scales, even with intrabeam scattering?
- Could this method be used to increase hadron collider luminosity using round-to-flat transformations?
- What is the intensity limit in an accumulator ring? Can we get anywhere near the space charge limit? Current machines operate at only a few percent tune shift.
- Can we use cross-plane coupling to our advantage when designing high-intensity accelerators?
- How should we quantify uncertainty in phase space tomography?
- How do we incorporate maximum-entropy principles in Bayesian inverse problems?
- What are the dynamic range limits in phase space tomography? Can we infer beam halo distributions in 2D/4D/6D? MENT seems like a promising algorithm here.
- In phase space tomography, does the inclusion of space charge increase or decrease the size of the feasible set? For example, could space chage provide cross-plane information without coupled optics or cross-plane diagnostics?
- Will we build a Muon Collider?
- Can we use generative models to simulate intrabeam scattering?