To-do: / Distribute pictures to correct sections /. Update any pictures that still need updating for PD2S ring / Renumber pictures to avoid confusion / Add in/rename any references that are missing/misnamed / From HB2010 paper / Hostorical references x3 / Could the title be better? ("VFFAGs as Proton Drivers" or "ISIS upgrade" etc. or "first multi-particle tracking of VFFAGs") [went short] / Go through each subsection checking for consistency / Particularly I, II / I introduction / I.A / I.B Combination with FFAG types section needs writing / I.C Hostorical section needs writing / II introduction / II.A / II.B / II.C / II.C.1 / II.C.2 needs writing / III, IV probably mostly OK but still check / III / Regenerate figure 11 / III.A / III.B (better title?) / IV / IV.A / IV.B / IV.C / Section V needs writing / V introduction waffle / V.A / V.B / V.C / Finish figure captions / Update abstract / Fiddle picture sizes and locations a bit to get them on roughly same page as relevant content, also for artistic reasons /[Done on website but not paper] Valid PACS appear here? / Final check for /**/ and other crud / Then just submit Plan: I. VFFAG Principle - Explain principle in general terms, allowing non-scaling too A. Linear optics of Scaling VFFAGs - Some stuff from HB2010 and some from old field model section - Symmetry/scaling exponential law, stability, scaling fixed tunes - Skew focussing nature B. Combination with Existing FFAG Types - FFAG focussing types (FODO w/scaling disease, edge-focussed) - Longitudinal types (synchrotron- or cyclotron-like) C. Historical Papers - Previous work in 1962 etc. II. Magnet Field Model(s) A. 2D analytic (from complex exponential) (closely related to scaling law) B. 2D using infinitely-long conductors C. 3D with edge fields (series solution) 1. Field Enhancement Factor 2. [?define circumference factor rigorously and compare to naive FODO case] III. Proton Driver Transverse Dynamics [update dynamics to real bends as necessary NB: loads of values, tables need updating] A. Dynamic Aperture Parameter Scan B. Transverse Intensity Issues IV. Proton Driver Longitudinal Dynamics [Mention beam loading of cavities should be OK.] A. Longitudinal Intensity Effects B. VFFAG RF System C. Suitability for Muon Production V. Future Development and Applications A. "More Practical"? Proton Ring - Insertions for proton lattice (skewy RF problems) B. Isochronous, CW, High Average Power Machines - Isochronous/ADSR (antimatter??) - Mention skew/curved orbit excursion, bit of theory maybe - Beam loading and longitudinal intensity/tune shifts again - eRHIC/LHeC ultra-relativistic electron machines C. Hadron Therapy - Medical - Narrow magnets HB2012 structure: I. Magnet Field Model A. Field Enhancement Factor II. Transverse Dynamics A. Dynamic Aperture Parameter Scan B. Transverse Intensity Issues III. Longitudinal Dynamics A. Longitudinal Intensity Effects B. VFFAG RF System C. Suitability for Muon Production [Removed due to space: IV. Future Work]