perturbation approach, we seek modeling errors in the The ever-increasing demand for better performance from following parameters circular accelerators requires improved methods to calibrate • Quadrupole gradients the optics model. We present a linear perturbation approach to°Corrector scale factors the calibration problem in which the modeled BPM-to-• BPM scale factors corrector response matrix is expanded to first order in • BPM resolution errors .,:,:a_rupole strengths. The result is numerically fit to the measured response matrix yielding quadrupole strength errors, including a comprehensive error analysis of the results. From corrector strength errors, and BPM linearity factors. The large the difference orbit measurements, we first determine the number of degrees of freedom in the fit allows a BPM-to-correctorresponsenmtrixcoefficients comprehensive error analysis, including the determination of Ax at BPM i BPM resolutions. In this way, a self-consistent first order _ij = (1) optics model of SPEAR was generated which reproduces the Ax' at corrector j measured tunes, which are then compared to the perturbed expression for the
ID this paper we present a preliminary design of * damping ring for the TeV Linear Collider (TLC), a future linear collider with an energy of 1/2 to 1 TeV in the center of mass. Be cause of limits on the emittance, repetition rate,and longitudinal impedance, we use combined function PODO cells with wigglers in insertion regions there are approximately 22 meters of wig glers is the 155 meter ring. The ring has a normalized horizontal emittance, including the effect of intrabeam scattering, which is less than 3 x 10"* and an emittance ratio of c< as 100£". It is designed to d*mp bunches for 7 vertical damping times while operating at a repetition rate of 360 H2. Because of these re quirements on the emittance and the damping per bunch, the ring operates at L.S GeV and is relatively large, allowing more bunches to be damped at once,
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