Abstract

In order to minimize the surface resistance in superconducting cavities, a deeper understanding of residual resistance due to trapped magnetic flux is necessary. For that purpose, a combined temperature and magnetic field mapping system is employed to map magnetic flux trapped in a superconducting cavity, and the related increase in surface resistance. By cooling down a 1.3 GHz TESLA single cell cavity several times with externally applied static magnetic fields with different orientations with respect to the cavity, a statement can be made about how the angle between the applied magnetic field and the cavity's surface affects flux trapping, and surface resistance. For example, a significantly higher increase in surface resistance is observed when the applied magnetic field is perpendicular to the cavity's surface compared to when it is parallel.

Highlights

  • When operating superconducting cavities, power is dissipated within the cavity wall

  • A combined temperature and magnetic field mapping system is employed to map magnetic flux trapped in a superconducting cavity, and the related increase in surface resistance

  • The magnetic flux mapping, and the temperature mapping measurements where a top bottom asymmetry is observed, show that the flux trapping mechanism cannot be fully explained by a simple static model

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Summary

INTRODUCTION

Power is dissipated within the cavity wall. Since the cavities are operated at a temperature of around 2 K the wall plug power needed for 1 W of dissipated power is close to 1 kW [1]. The BCS surface resistance, RBCS, follows from the microscopic theory of superconductors as formulated by Bardeen, Cooper, and Schrieffer [2] It depends on the material used, its treatment as well as the operating temperature, and the frequency of the rf field. The second part of the surface resistance, residual resistance Rres, is not explained by BCS theory This resistance is temperature independent, and is mainly caused by trapped magnetic flux [3,4]. Materials contain defects, which pin flux lines, and prevent their expulsion from the superconductor In rf fields, these flux lines oscillate causing power to dissipate within the cavity wall which in turn increases the residual resistance [5,6]. We observe the largest increase in surface resistance where the trapped flux is perpendicular to the cavity’s surface

EXPERIMENT
Measurement procedure
MAGNETIC FIELD MEASUREMENTS
A2 A3 A4 A5 B1 B2 B3 B4 B5 C1 C2 C3 C4 D1 D3 D4 D5
Amount of trapped flux
Comparison with simulations
Flux expulsion during phase transition
81 Æ 2 93 Æ 4
Quality factor and average surface resistance
Locally increased surface resistance depending on field orientation
Conclusions
Outlook
Full Text
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