Refractive index of a transparent liquid measured with a concave mirror

TL;DR

This paper introduces a method using a spherical concave mirror to measure the refractive index of transparent liquids, deriving the relevant equations and validating the approach with established optical models.

Contribution

It presents a novel measurement technique based on a spherical concave mirror and provides a theoretical derivation and validation of the method.

Findings

Derived the refractive index equation using Snell's law and small-angle approximation.

Validated the method with traditional spherical mirror and Gaussian equations.

Demonstrated the method's accuracy for measuring transparent liquids.

Abstract

This paper describes the spherical concave mirror method for measuring the index of refraction of transparent liquids. We derived the refractive index equation using Snell's law and the small-angle approximation. We also verified the validity of this method using the traditional spherical mirror and thin-lens Gaussian equations.