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Bare SiD, no orbit correction dsigmaY_SR (nm) = 0.31

Application of Serpentine corrector to reduce synchrotron radiation due to vertical orbit. Left pictures show Y orbit, right pictures show field acting in Y and the integrals responsible for SR effects. Bare SiD, no orbit correction dsigmaY_SR (nm) = 0.31. SiD with serpentine to zero IP angle

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Bare SiD, no orbit correction dsigmaY_SR (nm) = 0.31

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  1. Application of Serpentine corrector to reduce synchrotron radiation due to vertical orbit. Left pictures show Y orbit, right pictures show field acting in Y and the integrals responsible for SR effects. Bare SiD, no orbit correction dsigmaY_SR (nm) = 0.31 SiD with serpentine to zero IP angle dsigmaY_SR (nm) = 0.26 SiD with serpentine to minimize SR effects dsigmaY_SR (nm) = 0.034 Here dsigmaY_SR is addition to Y IP size (to be added in quadratures) calculated using PRSTAB-061001 formulas (PT,Tor,John.I) assuming theta_c=10mrad. Dependence of dsigmaY_SR is theta_c^5/2 and there is no dependence on energy.

  2. With scaling shown on the previous pege, if SiD would be used for the second IR with 2*theta_c = 34mrad, then addition to the Y beam would be: dsigmaY_SR = 1.2 nm for bare SiD Already not small dsigmaY_SR = 0.13nm for SiD with serpentine optimized to reduce SR OK The Serpentine field, optimized to zero IP angle, or minimize SR

  3. Modified PRSTAB formula to include quad focusing. For this replaced in this formula u’ by R34/zmax : For SiD case (with serpentine to minimize SR) the difference is very small PRSTAB formula: dsigmaY (nm) = 0.034255, including Q focusing: dsigmaY Q (nm) = 0.034225 Another example, SiD compensated by quad offset only: dsigmaY (nm) = 5.7048, including Q focusing: dsigmaY Q (nm) = 3.5049

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