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Efficient SPD Simulation Updates Under Development: Integration & Algorithm Enhancements

Cutting-edge updates for SPD simulation in Development phase. Coming soon: high-performance Gaussian & Analytic Integration methods, optimized algorithms applicable to SPD/SSD/SDD tracks. November coding, December testing, assured accuracy in electron tracking.

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Efficient SPD Simulation Updates Under Development: Integration & Algorithm Enhancements

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  1. SPD SimulationdubnaUpdates, to come Under Development 1A Gaussian Integration along track path between hits. - Very efficient - Many fewer steps (~10 compared to ~200) - Require 4 evaluations of Erfc functions 1B And/Or Analytic Integration - Must be done via an expansion - Includes evaluation of Erfc functions 2 Loop over ±3 (x), ±2 (z) pixels Max - Only as needed 3 More general algorithm - Applicable to SPD and SSD - May be expendable to SDD Presently 1 Trapezoidal Integration along track path between hits. - Easy to code & debug - Inefficient 2 Step size is of the order 1µm - Much smaller than needed - Guarantees accuracy 3 4 evaluations of Tmath::Erfc - ~exp(8th order polynomial) 4 Loop over ±3 (x), ±2 (z) pixels

  2. SPD SimulationdubnaUpdates, to come • All parameters will be unchanged • Work on optimizing parameters can use existing code • Only algorithm will change • Code ready by End of November • Code tested by End of December • Comparison of SDigits between versions • Require same numbers up to ±1 electron or better

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