Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf1

Radiation Damping - Low emittance

lattices

USPAS, Hampton, VA, Jan. 17-28, 2011

Alex Bogacz ,Geoff Krafft and Hisham Sayed

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf2

Outline

Beam dynamics with synchrotron radiation:

Discuss the effect of synchrotron radiation on the (linear) motion of particles

in storage rings.

Define action-angle variables for describing symplectic motion of a particle

along a beam line.

Derive expressions for the damping times of the vertical, horizontal and

longitudinal emittances.

Introduce the synchrotron radiation integrals (Sand’s Integrals).

Discuss the effects of quantum excitation, and derive expressions for the

equilibrium horizontal and longitudinal beam emittances in an electron

storage ring.

M. Sands, “The physics of electron storage rings, an introduction” SLAC-121. 1970

A. Wolski, University of Liverpool and the Cockcroft Institute, CAS 2009,

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf

USPAS, Hampton, VA, Jan. 17-28, 2011

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf3

Outline – cont.

Equilibrium emittance and storage ring lattice design

Emittance preserving lattices :

The natural emittance for different types of lattice - Examples:

FODO

Double Bend Achromat (DBA)

Theoretical Minimum Emittance (TME)

USPAS, Hampton, VA, Jan. 17-28, 2011

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf4USPAS, Hampton, VA, Jan. 17-28, 2011

Coordinate system

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Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf5USPAS, Hampton, VA, Jan. 17-28, 2011

Longitudinal coordinate

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Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf6USPAS, Hampton, VA, Jan. 17-28, 2011

Energy deviation

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf7USPAS, Hampton, VA, Jan. 17-28, 2011

Canonical variables

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Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf8USPAS, Hampton, VA, Jan. 17-28, 2011

Symplectic matrices

U U

U

U

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf9USPAS, Hampton, VA, Jan. 17-28, 2011

Twiss parameters and the particle action

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf10USPAS, Hampton, VA, Jan. 17-28, 2011

Cartesian variables and action-angle variables

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Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf11USPAS, Hampton, VA, Jan. 17-28, 2011

Action and Emittance

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Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf12USPAS, Hampton, VA, Jan. 17-28, 2011

Action and Radiation

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Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf13USPAS, Hampton, VA, Jan. 17-28, 2011

Radiation damping of vertical emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf14USPAS, Hampton, VA, Jan. 17-28, 2011

Radiation damping of vertical emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf15USPAS, Hampton, VA, Jan. 17-28, 2011

Radiation damping of vertical emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf16USPAS, Hampton, VA, Jan. 17-28, 2011

Radiation damping of vertical emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf17USPAS, Hampton, VA, Jan. 17-28, 2011

Radiation damping of vertical emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf18USPAS, Hampton, VA, Jan. 17-28, 2011

Synchrotron radiation energy loss

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Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf19USPAS, Hampton, VA, Jan. 17-28, 2011

Synchrotron radiation energy loss

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf20USPAS, Hampton, VA, Jan. 17-28, 2011

The first synchrotron radiation integral

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Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf21USPAS, Hampton, VA, Jan. 17-28, 2011

Damping of horizontal emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf22USPAS, Hampton, VA, Jan. 17-28, 2011

Horizontal-longitudinal coupling

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf23USPAS, Hampton, VA, Jan. 17-28, 2011

Damping of horizontal emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf24USPAS, Hampton, VA, Jan. 17-28, 2011

Radiation damping of horizontal emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf25USPAS, Hampton, VA, Jan. 17-28, 2011

Appendix A: Damping of horizontal emittance

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Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf26USPAS, Hampton, VA, Jan. 17-28, 2011

Appendix A: Damping of horizontal emittance

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Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf27USPAS, Hampton, VA, Jan. 17-28, 2011

Appendix A: Damping of horizontal emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf28USPAS, Hampton, VA, Jan. 17-28, 2011

Appendix A: Damping of horizontal emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf29USPAS, Hampton, VA, Jan. 17-28, 2011

Appendix A: Damping of horizontal emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf30USPAS, Hampton, VA, Jan. 17-28, 2011

Appendix A: Damping of horizontal emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf31USPAS, Hampton, VA, Jan. 17-28, 2011

Damping of synchrotron oscillations

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf32USPAS, Hampton, VA, Jan. 17-28, 2011

Damping of synchrotron oscillations

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf33USPAS, Hampton, VA, Jan. 17-28, 2011

Damping of synchrotron oscillations

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf34USPAS, Hampton, VA, Jan. 17-28, 2011

Damping of synchrotron oscillations

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf35USPAS, Hampton, VA, Jan. 17-28, 2011

Damping of synchrotron oscillations

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf36USPAS, Hampton, VA, Jan. 17-28, 2011

Damping of synchrotron oscillations

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf37USPAS, Hampton, VA, Jan. 17-28, 2011

Damping of synchrotron oscillations

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf38USPAS, Hampton, VA, Jan. 17-28, 2011

Damping of synchrotron oscillations

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf39USPAS, Hampton, VA, Jan. 17-28, 2011

Damping of synchrotron oscillations

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf40USPAS, Hampton, VA, Jan. 17-28, 2011

Summary: synchrotron radiation damping

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf41USPAS, Hampton, VA, Jan. 17-28, 2011

Quantum excitation

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf42USPAS, Hampton, VA, Jan. 17-28, 2011

Quantum excitation of horizontal emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf43USPAS, Hampton, VA, Jan. 17-28, 2011

Quantum excitation of horizontal emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf44USPAS, Hampton, VA, Jan. 17-28, 2011

Appendix B: Quantum excitation of horizontal emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf45USPAS, Hampton, VA, Jan. 17-28, 2011

Appendix B: Quantum excitation of horizontal emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf46USPAS, Hampton, VA, Jan. 17-28, 2011

Appendix B: Quantum excitation of horizontal emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf47USPAS, Hampton, VA, Jan. 17-28, 2011

Appendix B: Quantum excitation of horizontal emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf48USPAS, Hampton, VA, Jan. 17-28, 2011

Quantum excitation of horizontal emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf49USPAS, Hampton, VA, Jan. 17-28, 2011

Quantum excitation of vertical emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf50USPAS, Hampton, VA, Jan. 17-28, 2011

Quantum excitation of synchrotron oscillations

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf51USPAS, Hampton, VA, Jan. 17-28, 2011

Quantum excitation of synchrotron oscillations

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf52USPAS, Hampton, VA, Jan. 17-28, 2011

Natural energy spread

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf53USPAS, Hampton, VA, Jan. 17-28, 2011

Summary: radiation damping

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf54USPAS, Hampton, VA, Jan. 17-28, 2011

Summary: synchrotron radiation integrals

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf55USPAS, Hampton, VA, Jan. 17-28, 2011

Summary: synchrotron radiation integrals

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf56

Radiation Damping - Re-cap

So far we:

discussed the effect of synchrotron radiation on the (linear) motion of

particles in storage rings;

derived expressions for the damping times of the vertical, horizontal

and longitudinal emittances;

discussed the effects of quantum excitation, and derive expressions

for the equilibrium horizontal and longitudinal beam emittances in an

electron storage ring.

USPAS, Hampton, VA, Jan. 17-28, 2011

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf57USPAS, Hampton, VA, Jan. 17-28, 2011

S-R integrals - Re-cap

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf58USPAS, Hampton, VA, Jan. 17-28, 2011

S-R integrals - Re-cap

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf59

Lattice Examples

Practical implementations:

FODO

DBA (double-bend achromat)

multi-bend achromat, including the triple-bend achromat (TBA)

TME (theoretical minimum emittance)

USPAS, Hampton, VA, Jan. 17-28, 2011

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf60USPAS, Hampton, VA, Jan. 17-28, 2011

Calculating the natural emittance in a lattice

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf61USPAS, Hampton, VA, Jan. 17-28, 2011

FODO lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf62USPAS, Hampton, VA, Jan. 17-28, 2011

FODO lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf63USPAS, Hampton, VA, Jan. 17-28, 2011

FODO lattice - natural emittance

1

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf64USPAS, Hampton, VA, Jan. 17-28, 2011

FODO lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf65USPAS, Hampton, VA, Jan. 17-28, 2011

FODO lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf66USPAS, Hampton, VA, Jan. 17-28, 2011

FODO lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf67USPAS, Hampton, VA, Jan. 17-28, 2011

FODO lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf68USPAS, Hampton, VA, Jan. 17-28, 2011

FODO lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf69USPAS, Hampton, VA, Jan. 17-28, 2011

FODO lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf70USPAS, Hampton, VA, Jan. 17-28, 2011

FODO lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf71USPAS, Hampton, VA, Jan. 17-28, 2011

DBA lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf72USPAS, Hampton, VA, Jan. 17-28, 2011

DBA lattice - natural emittance

1

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf73USPAS, Hampton, VA, Jan. 17-28, 2011

DBA lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf74USPAS, Hampton, VA, Jan. 17-28, 2011

DBA lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf75USPAS, Hampton, VA, Jan. 17-28, 2011

DBA lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf76USPAS, Hampton, VA, Jan. 17-28, 2011

DBA lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf77USPAS, Hampton, VA, Jan. 17-28, 2011

TME lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf78USPAS, Hampton, VA, Jan. 17-28, 2011

TME lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf79USPAS, Hampton, VA, Jan. 17-28, 2011

TME lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf80USPAS, Hampton, VA, Jan. 17-28, 2011

TME lattice - natural emittance

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf81USPAS, Hampton, VA, Jan. 17-28, 2011

Summary: FODO, DBA and TME lattices

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Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf82USPAS, Hampton, VA, Jan. 17-28, 2011

Design for low emittance lattices

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Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf83USPAS, Hampton, VA, Jan. 17-28, 2011

Summary

Operated by JSA for the U.S. Department of Energy

Thomas Jefferson National Accelerator Facility

http://cas.web.cern.ch/cas/Germany2009/Lectures/PDF-Web/Wolski-1.pdf84USPAS, Hampton, VA, Jan. 17-28, 2011

Summary cont.