1. IMPACT-T - A 3D Parallel Beam Dynamics Code for Modeling High Brightness Beams in Photo-Injectors Ji Qiang 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 using resources at the Advanced Computing Laboratory and the National Energy Research Scientific Computing Center

2. What is new in the IMPACT-T code? Integrated Green method to accurately compute the space-charge forces for a beam with large aspect ratio Shifted Green method to efficiently compute the space-charge forces from the image charge Multiple slices/bins to handle the beam with large energy spread Parallel implementation on high performance computer to allow multiple million, high resolution simulation

3. Green Function Solution of Poisson’s Equation ; r = (x, y,z) Direct summation of the convolution scales as N 6 !!!! N – grid number in each dimension

4. Green Function Solution of Poisson’s Equation (cont’d) Hockney’s Algorithm:- scales as (2N) 3 log(2N) - Ref: Hockney and Easwood, Computer Simulation using Particles, McGraw-Hill Book Company, New York, 1985. Shifted Green function Algorithm:

5. x y Particle Domain 0 Field Domain x

6. e-e- Test of Image Space-Charge Calculation Using a Shifted Green Function Method e+e+ cathode Shifted-green function Analytical solution

7. Xrsm vs. distance with/without space-charge forces during the emssion Emission with space-charge Emission without space-charge

8. Xrsm vs. distance with integrated Green function and standard Green function for space-charge forces calculation Integrated Green function Standard Green function

9. Xrsm vs. distance with/without image charge effect of cathode With image charge effect Without image charge effect

10. Green Function Solution of Poisson’s Equation Integrated Green function Algorithm for large aspect ratio: x (sigma) EyEy

11. A Benchmark Example: in collaboration with C. Limborg (SLAC) 1nC 10ps square pulse, 1 mm uniform transverse laser pulse No Thermal emittance 110MV/m Solenoid 2.541 kG 1nC 10ps square pulse, 1 mm uniform transverse laser pulse No Thermal emittance 110MV/m Solenoid 2.541 kG

12. Xrms vs. Position Parallel simulation w/ IMPACT-T using 1M particles is 2x faster than simulation w/ PARMELA using 100K particles Reasonable agreement for test case with azimuthal symmetry

13. Zrms and Relative Energy Spread vs. Position