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LCLS Conceptual Design Report - Stanford Synchrotron Radiation ...

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L C L S C O N C E P T U A L D E S I G N R E P O R T<br />

7.8.2.2 RF Zero-Phasing Technique ................................................................ 7-97<br />

7.8.2.3 Electo-Optical Bunch Length Diagnostic ............................................ 7-98<br />

7.8.3 Beam Energy Spread Diagnostics ...................................................................... 7-100<br />

7.8.3.1 DL1 Energy Spread Diagnostics........................................................ 7-100<br />

7.8.3.2 BC1 Energy Spread Diagnostics........................................................ 7-100<br />

7.8.3.3 BC2 Energy Spread Diagnostics........................................................ 7-100<br />

7.8.3.4 DL2 Energy Spread Diagnostics........................................................ 7-100<br />

7.8.4 Trajectory and Energy Monitors with Feedback Systems.................................. 7-101<br />

7.8.4.1 Trajectory Feedback Systems ............................................................ 7-101<br />

7.8.4.2 Energy Feedback Systems ................................................................. 7-101<br />

7.9 The Wake Functions for the SLAC Linac ..................................................................... 7-103<br />

7.9.1 Introduction........................................................................................................ 7-103<br />

7.9.2 The Calculated Wakefields for the SLAC Linac................................................ 7-103<br />

7.9.3 Discussion .......................................................................................................... 7-106<br />

7.9.4 Confirmations..................................................................................................... 7-107<br />

7.9.5 Resistive Wall Wakefields ................................................................................. 7-107<br />

7.10 Parts List and Installation Issues.................................................................................... 7-109<br />

7.10.1 Parts List............................................................................................................. 7-109<br />

7.10.2 Installation Issues ............................................................................................... 7-111<br />

7.11 Operational Issues.......................................................................................................... 7-112<br />

7.12 References ..................................................................................................................... 7-113<br />

8 Undulator<br />

Technical Synopsis ....................................................................................................................... 8-1<br />

8.1 Overview ........................................................................................................................... 8-2<br />

8.1.1 Introduction............................................................................................................ 8-2<br />

8.1.2 Undulator Line <strong>Design</strong> Summary........................................................................... 8-3<br />

8.2 Theory and Tolerances for the Undulator.......................................................................... 8-4<br />

8.2.1 <strong>Design</strong> of Undulator Segments .............................................................................. 8-4<br />

8.2.1.1 Basic Considerations.............................................................................. 8-4<br />

8.2.2 Optimal Period and Focusing................................................................................. 8-4<br />

8.2.3 Irregularities and Imperfections ............................................................................. 8-7<br />

8.2.4 Tolerances for Undulator Segments....................................................................... 8-8<br />

8.2.5 Derivation of the Tolerances for the X-Ray FEL................................................... 8-9<br />

8.2.5.1 Derivation of Basic Equations ............................................................... 8-9<br />

8.2.5.2 Trajectory Straightness ........................................................................ 8-11<br />

8.2.5.3 Phase Errors......................................................................................... 8-12<br />

8.2.5.4 Resulting Power Gain Length Increase................................................ 8-14<br />

8.3 Undulator Measurement and Tuning ............................................................................... 8-14<br />

8.3.1 Requirements for the <strong>LCLS</strong> ................................................................................. 8-14<br />

8.3.2 APS Magnetic Measurement Facility................................................................... 8-15<br />

8.3.3 Requirements for Measurement Facility on <strong>LCLS</strong> Site ....................................... 8-16<br />

8.4 Measurement and Sorting of Magnet Blocks .................................................................. 8-16<br />

T A B L E O F C O N T E N T S

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