# Presentation: 534416

## Emittance Exchange in 3D PIC-Simulations

-       Ji Qiang, Los Alamos National Laboratory
-      Ingo Hofmann, GSI, Darmstadt, Germany
-  Robert Ryne, Lawrence Berkeley National Laboratory

- Work performed under the auspices of the
**DOE Grand Challenge in Computational Accelerator Physics,**
**Advanced Computing for 21st Century Accelerator Science and Technology Project, and Los Alamos Accelerator Code Group**
- using resources at the
**Advanced Computing Laboratory** and the
**National Energy Research Scientific Computing Center**

## Outline

- Introduction
- Computational issues
- Emittance exchange from 3D PIC simulations
- Effects of mismatch

## Introduction

- Emittance exchange could be:
- Thermodynamic model
- Stochastic transport
- Electrostatic instability
- Collective anisotropy instability with resonance condition

## Computational Issues

- The accuracy of Z code
- The effects of finite number of particles
- The effects of finite size of numerical grid
- Initial distribution

## Comparison between Z code and T code

## Comparison between Z code and T code

## X Emittance Using Different Number of Particles(Emittance Ratio (ER)=2, Tune Ratio (TR)=1.3, Kx=0.5)

- X Emittance Using Different Number of Particles(Emittance Ratio (ER)=2, Tune Ratio (TR)=1.3, Kx=0.5)

## Emittance Using Different Grid Size(ER=2, TR=2.04, Kx=0.63)

- Emittance Using Different Grid Size(ER=2, TR=2.04, Kx=0.63)

## Transverse and Longitudinal RMS Size for an Initially Matched Beam ( ER = 2, TR = 2.06, Kx = 0.5)

- Transverse and Longitudinal RMS Size for an Initially Matched Beam ( ER = 2, TR = 2.06, Kx = 0.5)

## Emittance Growth as a Function of Tune Ratio (TR)(ER = 0.6, Kx = 0.5)

- Emittance Growth as a Function of Tune Ratio (TR)(ER = 0.6, Kx = 0.5)

## Emittance Growth as a Function of Tune Ratio (TR)(ER = 1.2, Kx = 0.5)

- Emittance Growth as a Function of Tune Ratio (TR)(ER = 1.2, Kx = 0.5)

## Emittance Growth as a Function of Tune Ratio (TR)(ER = 2.0, Kx = 0.5)

- Emittance Growth as a Function of Tune Ratio (TR)(ER = 2.0, Kx = 0.5)

## Longitudinal Emittance Growth for 4th mode and 3rd mode (ER = 0.6, Kx = 0.5)

- Longitudinal Emittance Growth for 4th mode and 3rd mode (ER = 0.6, Kx = 0.5)

## Emittance Exchange as a Function of Distance(around stopband 1, ER = 0.6, Kx = 0.5)

- Emittance Exchange as a Function of Distance(around stopband 1, ER = 0.6, Kx = 0.5)

## Emittance Exchange as a Function of Distance(around stopband 1, ER = 1.2, Kx = 0.5)

- Emittance Exchange as a Function of Distance(around stopband 1, ER = 1.2, Kx = 0.5)

## Emittance Exchange as a Function of Distance(around stopband 1, ER = 2, Kx = 0.5)

- Emittance Exchange as a Function of Distance(around stopband 1, ER = 2, Kx = 0.5)

## Emittance Exchange as a Function of Distance(around stopband 2, ER = 2, Kx = 0.5)

- Emittance Exchange as a Function of Distance(around stopband 2, ER = 2, Kx = 0.5)

## X Maximum Amplitude, X RMS Size and Emittance Exchange as a Function of Distance(ER = 2, TR = 1.25, Kx = 0.5)

- X Maximum Amplitude, X RMS Size and Emittance Exchange as a Function of Distance(ER = 2, TR = 1.25, Kx = 0.5)

## Emittance Exchange as a Function of Distancefrom Matched and Mismatched Beams(ER = 2, TR = 0.8, Kx = 0.5, MM=1.3/0.7/1.0)

- Emittance Exchange as a Function of Distancefrom Matched and Mismatched Beams(ER = 2, TR = 0.8, Kx = 0.5, MM=1.3/0.7/1.0)

## X Maximum Amplitude and X RMS Size a Function of Distance for Mismatched Case

- X Maximum Amplitude and X RMS Size a Function of Distance for Mismatched Case

## Emittance Exchange as a Function of Distancefrom Matched and Mismatched Beams(ER = 2, TR = 1.2, Kx = 0.5, MM=1.0/1.0/1.3)

- Emittance Exchange as a Function of Distancefrom Matched and Mismatched Beams(ER = 2, TR = 1.2, Kx = 0.5, MM=1.0/1.0/1.3)

## X Maximum Amplitude and X RMS Size a Function of Distance for Mismatched Case

- X Maximum Amplitude and X RMS Size a Function of Distance for Mismatched Case

## Emittance Exchange as a Function of Distancefrom Matched and Mismatched Beams(ER = 1.2, TR = 1.0, Kx = 0.5, MM=1.3/0.7/1.0)

- Emittance Exchange as a Function of Distancefrom Matched and Mismatched Beams(ER = 1.2, TR = 1.0, Kx = 0.5, MM=1.3/0.7/1.0)

## X Maximum Amplitude and X RMS Size a Function of Distance for Mismatched Case

- X Maximum Amplitude and X RMS Size a Function of Distance for Mismatched Case