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APPLICATION OF THE GREEN'S FUNCTION METHOD TO SOME NONLINEAR PROBLEMS OF AN ELECTRON STORAGE RING. PART 4. STUDY OF A WEAK BEAM INTERACTION WITH A FLAT STRONG BEAM

Jul, 1983
35 pages
Published in:
  • Part.Accel. 15 (1984) 153-175
Report number:
  • SLAC-PUB-3155,
  • SLAC-AP-004,
  • SLAC-AP-4
View in:
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reference search6 citations

Citations per year

19831987199119951998201
  • ELECTRON: STORAGE RING
  • BEAM INSTABILITY
  • SCATTERING: BEAM-BEAM
  • BEAM-BEAM: SCATTERING
  • BEAM DAMPING
  • MATHEMATICAL METHODS: PERTURBATION THEORY
  • NUMERICAL CALCULATIONS: SLAC PEP STOR
  • Application of the Green’s Function Method to Some Nonlinear
    • S. Kheifets
    • Problems of an Electron Storage Ring Function for the
      • Part I. - The Green's
      • Fokker-Planck Equation -PEP Note 372, July
      • Problems of an Electron Storage Ring. Part II - Checking the Method by a
        • Quadrupole Perturbation -PEP Note 377, October
        • Problems of an Electron Storage Ring. Part III - Beam Size Enhancement Due to the Presence of Nonlinear Magnets in a Ring January
        • Beam-Beam Models, Nonlinear Dynamics and the
          • A. Chao
            ,
          • A. Summary of Some
          • Beam-Beam Interaction, American Institute of Physics Conference Proceedings, Vol. 57, eds New York,, p. 42
            • M. Month
              ,
            • J. Herrera
          • Experimental Observations and Theoretical Models for Beam-Beam
            • S. Kheifets
            • Phenomena. Long-time Predictions in Dynamics, eds Jr., L. E. Reich1 and A. G. Szebehely John and Sons,, p. 397
              • C.W. Horton
            • The Effects of Beam-Beam Collisions on Storage Ring Performance - A Pedagogical Review Fermi National Accelerator Laboratory HY, January
              • J.F. Schonfeld
            • Ann. Phys. 3, l-48
              • E. Courant
                ,
              • H. Snyder
            • Calculation of Luminosity and Beam-Beam Detuning in
              • B.W. Montague
              • Coasting-Beam Interaction Regions, CERN/ISR-GS/75-36 . For the beambeam force representation in the form used here, see Ref. 5, p
                • S. Kheifets
              • Ref. 4, and the references on this subject therein
                • See A. Chao
                • advised me this technique, see also Ch. N. Moore Summable Series and Convergence Factors New York
                  • A.D. Thrall
                • Dependence of the Luminosity on Various Machine
                  • A. Piwinski

                  • CERN-ISR-TH/79-31
                    • A.W. Chao
                      ,
                    • E. Keil
                  • Nucl. Instr. Meth., l&3, 9
                    • E. Keil
                  • CERN-LEP-TH/83-19
                    • E. Keil
                  • 21
                    • [15]
                      Table of Integrals, Series, and Products Press,(especially, formula 2.261, p. 81)
                      • I.S. Gradshteyn
                        ,
                      • I.M. Ryzhik
                    • 22