# Quantifying Magnetic Fields Using Deformed Diamagnetic Liquid Profiles

## TL;DR

This paper introduces two novel optical methods for estimating magnetic fields by analyzing the deformation of diamagnetic liquids, offering practical alternatives to traditional magnetic measurement techniques.

## Contribution

It presents two new methods for measuring magnetic fields using deformed diamagnetic liquid profiles, validated through experiments and comparison with existing techniques.

## Key findings

- Methods accurately estimate magnetic fields from liquid deformation
- Experimental results align with theoretical models
- Proposed techniques are practical for challenging measurement scenarios

## Abstract

Measuring the magnetic field of permanent magnets can be challenging, but recent research has demonstrated the potential of using deformed diamagnetic liquids to estimate the magnetic field. In this paper, we explore two methods for measuring the magnetic field from the response of the diamagnetic liquid. The first method involves measuring the profile of the deformed liquid with a laser and then calculating the square of the magnetic field using an appropriate equation. The second method involves measuring the maximum slope of the liquid and numerically calculating the magnetic field distribution using the model of an ideal solenoid. We present experimental results using these methods and compare them with other established methods for measuring magnetic fields. The results show that the proposed methods are effective and have potential for use in a variety of applications. The proposed methods can help address the challenge of measuring magnetic fields in situations where other methods are not suitable or practical.