The files in this document give relevant coupled beta and dispersion parameters as determined by Alexander Valishev and Valeri Lebedev for the synclite and flying wire locations in the Tevatron. The names and format of the files and periods of time for which they are valid is given below. The equations that relate the measured sigmas to the coupled beta functions and coupled emittances are also given. The values are for the central orbit, but they are also our best information for the helices at this time. This means we are ignoring magnet non-linearities. ------------------------------------------------------------------------------ I. File Latt_Injection.txt This optics applies to the Tevatron at Injection since August, 29, 2003 until now (Nov 1, 2004). The data are for the central orbit. As far as we are concerned, there were no major optics corrections since that date. 1. The rows are: a) description of columns (see further for details) b) lattice functions at HFWE11 c) lattice functions at VFWE11 d) lattice functions at HFWE17 2. I do not give the values at SL because it doesn't work at this energy. ------------------------------------------------------------------------------ II. File Latt_LowBeta.txt This optics applies to the Tevatron at LowBeta since May 12, 2004, until now (Nov 1, 2004). Corrections applied on May, 26, 2004 (alpha-bumps) did not change optics at the presented locations. The data are at central orbit. 1. The rows are: a) description of columns (see further for details) b) lattice functions at Proton SyncLight c) lattice functions at Antiproton SyncLight I (see 2.) d) lattice functions at Antiproton SyncLight II (see 2.) e) lattice functions at HFWE11 f) lattice functions at VFWE11 g) lattice functions at HFWE17 2. These values are for the SL configuration with the pbar pickoff mirror c) in (edge light), which applies since Aug 22, 2004 d) out (magnet body light), before Aug 22. ------------------------------------------------------------------------------ III. I do not have any measurements at intermediate sequence steps - ramp, flattop, etc. We did not do optics measurements at proton and pbar helices. ------------------------------------------------------------------------------ IV. Column descriptions, formulas for sigmas From all specified columns only some are really required for instrumentation purposes. They are (all units centimeters): 1. BetaX1 - Horizontal projection of the 1st Mode Betatron function 2. BetaY1 - Vertical projection of the 1st Mode Betatron function 3. BetaX2 - Horizontal projection of the 2nd Mode Betatron function 4. BetaY2 - Vertical projection of the 2nd Mode Betatron function 5. DspX - Horizontal dispersion function 6. DspY - Vertical dispersion function Using these lattice functions one can relate the observed beam sigmas with two mode emittances and energy spread: 1. SigmaX - Horizontal sigma [cm] 2. SigmaY - Vertical sigma [cm] 3. DeltaP - Dimensionless energy spread (dp/p) 4. Emit1 - Emittance of the 1st betatron mode [cm*rad] 5. Emit2 - Emittance of the 2nd betatron mode [cm*rad] The formulas are (^2 means 'squared') : SigmaX^2 = BetaX1 * Emit1 + BetaX2 * Emit2 + DspX^2 * DeltaP^2 SigmaY^2 = BetaY1 * Emit1 + BetaY2 * Emit2 + DspY^2 * DeltaP^2 ------------------------------------------------------------------------------ If it is necessary to report a single "uncoupled" emittance, one could neglect the coupled term. In this case the equations for the beam sigmas are: SigmaX^2 = BetaX1 * EmitX + DspX ^2 * DeltaP ^2 SigmaY^2 = BetaY2 * EmitY + DspY ^2 * DeltaP ^2