Download - Algorithms for emittance evaluation
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Algorithms for emittance evaluation
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Emittance measurements
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Slit-grid devices
•Trusted method•Wire current resolution 1pA•Integration time 1us..Nsec•Spatial resolution ~100um•Measurement time minutes
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Slit-grid control software
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Pepper-pot measurements without scintillating screen
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Use of optical registration
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An example of optimal resolution ratio for single shot operation
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Dedicated algorithms and outputs
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Scattering effects in screens, holes and slits
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Pepper-pot calibration
Pinhole effective radius calibration Estimation of the light scattering
effect in the screen Pinholes zero position calibration
with low-emittance light beam
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Use of multiple profile monitors
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Use of variable quadrupole strengths
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Longitudinal emittance measurements
Timo Milosic. Thursday. 10:50
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Ellipses and linear optics
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Canonical distributions
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Universal algorithms
Mostly exist for two-dimensional phase space
Applicable for any measurement type
•Data transformation: applying of linear optics element, resampling etc.•Noise and fraction reduction•Data healing tools•2-D emittance calculation
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Use of KV-plane for the emittance estimation
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Use of statistical momentums
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Use of optimal fitting methods
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Use of parametric data fit
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A comparison of different methods
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Errors estimation
Noise added to the data value Errors due to the model simplification Limitation of the parameterized model Limited accuracy of parameters of
involved beam optics elements Non-ideal registration equipment (non-
linearity, aberrations, cross talk,… )
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Typical output of the emittance evaluation results
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Typical preliminary data evaluation in 2-D space
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An example of an interactive tool for 2-D emittance evaluation
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Few nice output plots which good to have for report and publications
-For standalone applications – OpenGL primitives library- To save some time one may use TeeChart- Tools based on MATLAB or MathCAD could be easily adapted to any new ideas. License cost is critical.
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Typical preliminary data evaluatin in 2-D space
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A data manipulation possibilities are always demanded
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The basic evaluation uses only first order integration algorithms
Main calculations in EmitView are executed on the data matrix. Each element of this matrix owned an elementary current. In the assumption that the current density is uniformly distributed on the surface of elementary cell, this current is equal to product Ii,k=Ji,k*dx*dy. Where J is the current density in the phase space coordinates. Thresholds and KV levels are defined as a percentage of the maximum elementary current value.Captured current and KV plane are defined as a part of full current, which is sum of all elementary currents.
RMS emittance for defined KV level is calculated by formula.Statistical parameters for given formula are calculated for current density weighted elementary cells. Only cells with current higher then KV level are taking into account.
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Pepper pot algorithms
- Image processing technique
- Limited spatial resolution
- 4- dimensional phase space
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Pepper-pot ‘classical’ data preparation
EMITTANCE MEASUREMENTS AT THE NEW UNILAC PRE-STRIPPER USING A PEPPER-POT WITH A PC-CONTROLLED CCD-CAMERA. M.Dolinska et al. DIPAC 1999, Chester. UK.
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Noise cancellation
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Local spot filtering
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Parametric nonlinear data fitting
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Image evaluation cycle
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Horizontal profile
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An example of a heavy ion beam investigation
7kV 10kV 14kV
Beam divergence as a function of applied potential
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An example of a heavy ion beam investigation(2)
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An example of a heavy ion beam investigation(3)
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An example of a heavy ion beam investigation(4)
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Parametric nonlinear data fitting