""MAGNETIC FRINGE FIELDS AND INTERFERENCE IN HIGH INTENSITY ACCELERATORS""; ""MAGNETIC FRINGE FIELDS AND INTERFERENCE IN HIGH INTENSITY ACCELERATORS ""; ""CONTENTS ""; ""PREFACE ""; ""INTRODUCTION""; ""1.1. BACKGROUND ""; ""1.2. RESEARCH ISSUES ""; ""1.3. SYNOPSIS ""; ""REFERENCES ""; ""FUNDAMENTALS OF ACCELERATOR MAGNETS""; ""2.1. MAGNETOSTATIC FIELDS ""; ""2.2. TWO-DIMENSIONAL FIELDS ""; ""2.3. PARTICLE MOTION ""; ""2.4. DIPOLE MAGNETS""; ""2.5. QUADRUPOLE MAGNETS""; ""2.6. MAGNET MEASUREMENTS""; ""REFERENCES ""; ""MAGNET MODELING""; ""3.1. OVERVIEW OF SIMULATION CODES""
""3.2. OPERA/TOSCA """"3.3. A MODELING EXAMPLE ""; ""REFERENCES ""; ""THREE-DIMENSIONAL FIELD MULTIPOLE EXPANSION ""; ""4.1. REVIEW OF THEORY ""; ""4.2. EXPANSION TECHNIQUES""; ""4.3. ON-AXIS GRADIENTS ""; ""4.4. A 5TH-ORDER REPRESENTATION ""; ""4.5. HIGHER-ORDER EFFECTS ""; ""REFERENCES ""; ""PARTICLE OPTICS IN A SINGLE QUAD ""; ""5.1. SIMULATION MODEL OF 30Q58 AND FIELD DISTRIBUTIONS ""; ""5.2 PARTICLE TRAJECTORIES AND TRANSFER MATRICES ""; ""5.3.THREE-DIMENSIONAL MULIPOLE EXPANSION AND LINEARFOCUSING FUNCTION""; ""5.4. FORM FACTOR THEORY ON MAGNETIC FRINGE FIELDS ""
""5.5. LINEAR TRANSFER MATRICES FROM THE TRAJECTORY EQUATIONS""""5.6. LENS PARAMETERS AND HARD EDGE MODELS ""; ""5.7. THIRD-ORDER ABERRATIONS""; ""5.8. PARTICLE OPTICS IN 30Q44 ""; ""REFERENCES ""; ""MAGNETIC INTERFERENCE BETWEEN TWO MAGNETS ""; ""6.1. CHANGE IN LINEAR FOCUSING FUNCTION ""; ""6.2. MAGNETIC INTERFERENCE AS A FIRST-ORDER PERTURBATION""; ""6.3. HARD EDGE MODELS FOR A PERTURBED QUAD""; ""REFERENCES""; ""PARTICLE OPTICS IN A QUAD DOUBLET ASSEMBLY""; ""7.1. TWO-DIMENSIONAL FIELD PARAMETERS ""; ""7.2. MAGNETIC FRINGE AND INTERFERENCE ""
""7.3. LINEAR TRANSFER MATRICES AND HARD EDGE MODELS """"7.4. THIRD-ORDER ABERRATIONS ""; ""7.5. VERIFICATION OF PARTICLE TRAJECTORIES ""; ""REFERENCES""; ""PARTICLE TRACKING IN BEAM LINES ""; ""8.1. SNS RING INJECTION AND WASTE BEAM LOSSES ""; ""8.2. INJECTION CONSTRAINTS""; ""8.2.1. Closed Orbit Bump and Good Injection ""; ""8.2.2. Transport of Waste Beams Through IDSM ""; ""8.3. THREE-DIMENSIONAL MODELING OF INJECTION WASTE BEAM DUMP LINE ""; ""8.3.1. Simulation Models ""; ""8.3.2. Magnets and Fields on Beam Line ""; ""8.3.3. Initial Conditions of Test Particles ""
""8.4. THREE-DIMENSIONAL PARTICLE TRAJECTORIES THROUGH IDSM """"8.5. PARTICLE OPTICS THROUGH QUADRUPOLE MAGNET TO DUMP ""; ""8.6. REMEDIES ""; ""8.6.1. Hâ??-Proton Particle Losses in the Y-Direction in IDSM ""; ""8.6.2. H0-Proton Particle Losses in the X-Direction in IDSM ""; ""8.6.3. Modification of a Spare IDSM ""; ""8.6.4. Waste Beam Losses Downstream after Quadrupole Magnet ""; ""8.7. EXPERIMENTAL VERIFICATIONS ""; ""REFERENCES""; ""SNS RING EXTRACTION LAMBERTSON SEPTUM MAGNET ""; ""9.1. BEAM PROFILE DISTORTION DUE TO STRONG SKEW QUAD TERM IN ELS ""
