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Non-Ideal End Effects

Non-Ideal End Effects. As field is ramped: Pole 2 saturates before 1 . 1. 2. Non-ideal effects due to finite permeability and differential saturation of end poles End kick is dependent on the undulator field Dipole field is generated by u nbalanced yoke field.

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Non-Ideal End Effects

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  1. Non-Ideal End Effects As field is ramped: Pole 2 saturates before 1 1 2 • Non-ideal effects due to finite permeability and differential saturation of end poles • End kick is dependent on the undulator field • Dipole field is generated by unbalanced yoke field Magnetic Field (one period filter) Second Field Integral Curvature due to dipole field End Kick x x x x x x End Kick Non-zero offset x x x x x x

  2. End Design and Correction Scheme • Odd number of poles • Ideal end design is used for the main coil (1/8, 1/2, 7/8) • Kick corrector + field clamps placed at each end (only generates a kick) • Dipole corrector is co-wound with the main coil in the first pocket (generates both kick and dipole) • Strength of both correctors is varied as a function of the undulator field (look-up table) Second Field Integral Kick Corrector After Correction

  3. End Pocket Winding Configuration

  4. Lead Configuration • Main current leads at each end with a return line on the back of the undulator (< 1000 A) • Dipole correctors (co-wound in the first pocket) wired in series (< 20 A) • In principle the kick correctors could be wired in series, but we want independent control of the entrance and exit kicks (2 × < 100 A) Entrance Kick Corrector (<100 A) Exit Kick Corrector (<100 A) Lead in Lead out Main Leads (< 1000 A) and Dipole Correctors ( <20 A) Lead in Lead out Dipole correctors Lead out Lead in Lead in Lead out Main Current return Lead in Lead out

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