Post on 19-Mar-2020
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Modulator Simulations and Prelim Dipole
Simulations
Jun Ma, Roman Samulyak, Kwangmin Yu
Department of Applied Mathematics and Statistics
Stony Brook University
2016.6.9
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
Ion moves with 1 βz along longitudinal direction
In the code, ion stays and electron bunch moves instead
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
Theory
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
Comparison
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
Theory
δE (zl)
E0=
< vz >
c
= − 1
en0πa2cId(γ0zl ,
Lmod
β0γ0c)
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
Theory
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
Theory
Formula is for a single ion in open space
We use superpositions of a series of ions along longitudinal
direction to model the periodic boundary
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
Comparison
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
rbore = 3cm, longitudinal number distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
rbore = 3cm, longitudinal velocity distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Fine MeshCoarse Mesh
Ion stays in the center
Uniform distribution for electrons
Periodic boundary
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Fine MeshCoarse Mesh
longitudinal number distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Fine MeshCoarse Mesh
longitudinal velocity distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Fine MeshCoarse Mesh√
v 2x + v 2
y along longitudinal
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Fine MeshCoarse Mesh
longitudinal number distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Fine MeshCoarse Mesh
longitudinal velocity distribution
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Fine MeshCoarse Mesh√
v 2x + v 2
y along longitudinal
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
Electric field by ion is computed in open space
Use various computational domain size
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
8 Debye Length for domain size
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
16 Debye Length for domain size
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
32 Debye Length for domain size
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
80 Debye Length for domain size
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
8 Debye Length for domain size
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
16 Debye Length for domain size
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
32 Debye Length for domain size
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Density ModulationVelocity Modulation
80 Debye Length for domain size
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Magnetic field of dipoles
Bx(s) = B0 sin(kw · s)
By (s) = −B0 cos(kw · s)
kw = 2π/λw
λw = 4cm
B0 = 0.2T
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations
Moving IonModulator With Quadrupoles
Modulator With Uniform ElectronsIon In Open Space
Dipoles
Dipoles effect
Jun Ma, Roman Samulyak, Kwangmin Yu Modulator Simulations and Prelim Dipole Simulations