Comparative study between three models for the levitation height calculation

TL;DR

This paper compares three different models—Mirror, finite-size superconductor, and two-loop—for calculating the levitation height of a magnet in a superconducting environment, highlighting their respective strengths and limitations.

Contribution

It provides a detailed comparison and analysis of three models for levitation height calculation, offering insights into their applicability and accuracy.

Findings

Mirror method is simple but less accurate for finite-size superconductors.

Finite-size superconductor model accounts for boundary effects.

Two-loop model offers improved precision over simpler methods.

Abstract

Magnetic levitation has been demonstrated and characterized within the coaxial microwave cavity [1,2]. A permanent neodymium magnet is levitated from the edge of the finite-size superconductor [3,4]. One challenge is to develop a better method to calculate levitation height [5]. This paper compares three models, the Mirror method, finite-size superconductor, and two-loop model, for the levitation height calculation. The limitations and advantages of each model are discussed in detail.