# Nested head-tail Vlasov solver

@article{Burov2014NestedHV, title={Nested head-tail Vlasov solver}, author={Alexey V. Burov}, journal={Physical Review Special Topics-accelerators and Beams}, year={2014}, volume={17}, pages={021007} }

Nested Head-Tail (NHT) is a Mathematica-based Vlasov solver for transverse oscillations in multi-bunch beams. It takes into account azimuthal, radial, coupled-bunch and beam-beam degrees of freedom, single- and inter-bunch dipole wakes, an arbitrary damper, beam-beam effects and Landau damping.

## 49 Citations

### Coupled-beam and coupled-bunch instabilities

- PhysicsPhysical Review Accelerators and Beams
- 2018

A problem of coupled-beam instability is solved for two multibunch beams with slightly different revolution frequencies, as in the Fermilab Recycler Ring (RR). Sharing of the inter-bunch growth rates…

### Efficiency of feedbacks for suppression of transverse instabilities of bunched beams

- Physics
- 2016

Which gain and phase have to be set for a bunch-by-bunch transverse damper, and at which chromaticity it is better to stay? These questions are considered for three models: the two-particle model…

### Transverse modes for flat inter-bunch wakes

- Physics
- 2013

If inter-bunch wake fields are flat, i.e. their variations over a bunch length can be neglected, all coherent modes have the same coupled-bunch structure, provided the bunches can be treated as…

### Damping rate limitations for transverse dampers in large hadron colliders

- Physics
- 2020

The paper focuses on two issues important for design and operation of bunch-by-bunch transverse damper in a very large hadron collider, where fast damping is required to suppress beam instabilities…

### EFFICIENCY OF FEEDBACKS FOR SUPPRESSION OF TRANSVERSE INSTABILITIES OF BUNCHED BEAMS

- Physics
- 2016

Which gain and phase have to be set for a bunch-by-bunch transverse damper, and at which chromaticity it is better to stay? These questions are considered for three models: the twoparticle model with…

### Effect of crab cavity high order modes on the coupled-bunch stability of High-Luminosity Large Hadron Collider

- PhysicsPhysical Review Accelerators and Beams
- 2019

High frequency high order modes can significantly affect the coupled-bunch stability in a circular accelerator. With a large enough shunt impedance they may drive a coupled-bunch transverse…

### Landau damping of transverse head-tail instabilities with a pulsed electron lens in hadron synchrotrons

- PhysicsPhysical Review Accelerators and Beams
- 2022

A pulsed electron lens produces a betatron tune shift along a hadron bunch as a function of the longitudinal coordinates, which is a longitudinal detuning. An example of transverse detuning are the…

### Effect of Crab cavity HOMs on the coupled-bunch stability of HL-LHC

- Physics
- 2019

High frequency High Order Modes can significantly affect the coupled-bunch stability in a circular accelerator. With a large enough shunt impedance they may drive a coupled-bunch transverse…

### Study of Landau damping with an Antidamper

- Physics
- 2019

Landau damping is an essential mechanism for ensuring the transverse beam stability in LHC and its upgrades. It suppresses transverse head-tail modes within the bunch that cannot be otherwise damped…

### On Landau damping restoration with electron lenses in space-charge dominated beams

- Physics
- 2020

It is shown that the Lorentz forces of a low-energy, magnetically stabilized electron beam, or “electron lens”, can introduce transverse nonlinear focusing sufficient for Landau damping of transverse…

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