Flat Beam Generation Via beam shaping:

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Flat Beam Generation Via beam shaping
Elliptical beam distribution
y
Larmor rotation
b
x
a
YAG3
Virtual Cathode
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Optimization values for the AWA parameters (Flat
Beam) For laser pulse of 1.15 ps (Q 100pc)
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Larmor angle -18 degrees ? need to rotate beam
on the Virtual cathode by 18 degrees to
compensate for the rotation effect( get rid of
coupling) when we generate the initial particle
distribution.
Define parameter e such that
Correlation
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Track of Twiss parameters
Track of R parameter R SC effects /emittance
effects
Come from the envelope equation
Emittance Ratio
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Density distribution at VC
Density distribution at YAG3
e 1
e 1/2
e 1/10
e 1/50
e 1/100
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Blue
Red
Angle in degrees
Emittance dominant
31,17,10,4,1
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g gap width 0.0508m
Enge coefficients for Dipole
B profile (version 17)
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c coefficients using fmin search c
0.4656 -2.6516 -1.2879 -0.2804 0.0237
-0.1952 -0.1405 -0.0242 using polyfit c
0.4876 -2.8936 -1.5224 -0.1953
0.2725 0.0660 -0.0183 -0.0050 Note c
c_i where i 1,,8
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AWA Emittance Exchange (round beam) For laser
pulse of 1.15 ps (Q 100pc)
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Some Simulation results
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