Modeling skin effect in large magnetized iron detectors

TL;DR

This paper develops analytical models for the transient magnetic behavior in large iron detectors, accounting for eddy currents and field penetration, to improve calibration techniques used in experiments like MINOS and OPERA.

Contribution

It introduces new analytical formulas that accurately model transient magnetic effects in large iron detectors, aiding calibration design.

Findings

Formulas match experimental data from OPERA prototype

Models effectively incorporate eddy current effects

Enhance calibration accuracy for large iron detectors

Abstract

The experimental problem of the calibration of magnetic field in large iron detectors is discussed. Emphasis is laid on techniques based on ballistic measurements as the ones employed by MINOS or OPERA.In particular, we provide analytical formulas to model the behavior of the apparatus in the transient regime, keeping into account eddy current effects and the finite penetration velocity of the driving fields. These formulas ease substantially the design of the calibration apparatus.Results are compared with experimental data coming from a prototype of the OPERA spectrometer.