Problems of Position Reconstruction in Silicon Microstrip Detects

TL;DR

This paper investigates position reconstruction algorithms in silicon micro-strip detectors, using simulations to analyze signal responses and develop correction methods for systematic errors, especially in non-orthogonal incidence scenarios.

Contribution

It introduces a signal reconstruction theorem and correction techniques for systematic errors in position reconstruction, particularly addressing asymmetric signal distributions and non-orthogonal particle incidence.

Findings

Response functions approximate triangular shapes in floating strip sensors.

Standard $ta$ algorithm introduces systematic errors for asymmetric signals.

The proposed theorem enables correction of these errors.

Abstract

The algorithms for position reconstruction in silicon micro-strip detectors are studied, and the signals of a minimum ionizing particle are simulated. The center-of-gravity distributions of the data events allow the fine tuning of the signal forms and of the strip response functions. In the sensors with floating strips the response function turns out to roughly approximate the response of a triangular function for the size of the signal involved. The simulations are extended to non orthogonal incidence. In these directions, and in general for all the asymmetric signal distributions, the standard application of the $\eta$ algorithm introduces a systematic error. A signal reconstruction theorem gives the way to implement the corrections of this error.