# A Theoretical Investigation of Magnetic Susceptibility Measurement Using Mach-Zehnder interferometer

## TL;DR

This paper introduces a theoretical method using a Mach-Zehnder interferometer with a ring magnet to measure magnetic susceptibility of liquids, emphasizing its accuracy and potential advantages over existing techniques.

## Contribution

It provides a comprehensive theoretical framework for magnetic susceptibility measurement using interferometry, highlighting its advantages and comparing it with other methods.

## Key findings

- High accuracy and sensitivity demonstrated
- Potential for characterizing various liquid systems
- Theoretical analysis supports practical application

## Abstract

In this study, we present a novel method for measuring the magnetic susceptibility of liquids using a Mach-Zehnder interferometer. The proposed technique employs a ring magnet to deform the liquid, while a laser beam passes through the liquid to measure the resulting interference pattern. The deformation of the liquid, caused by the known magnetic field of the ring magnet, is used to calculate the magnetic susceptibility. We provide a comprehensive theoretical framework, including the relevant equations and models, for analyzing the data obtained using this method. We compare the Mach-Zehnder interferometer method with other established techniques, highlighting its advantages and disadvantages. Our findings indicate that the Mach-Zehnder interferometer technique offers high accuracy, sensitivity, and potential applications in characterizing magnetic properties of various liquid systems.