Time dependent Faraday rotation

TL;DR

This paper analyzes how Faraday rotation evolves over time in a magnetoactive medium with a time-varying dielectric tensor, considering continuous and pulsed laser fields, revealing linear growth and oscillatory behaviors.

Contribution

It introduces a detailed analysis of Faraday rotation in media with time-dependent dielectric properties, including both diagonal and non-diagonal elements, under different laser excitation conditions.

Findings

Linear increase of Faraday rotation with time under continuous laser illumination.

Periodic oscillations in Faraday rotation angle depending on the medium's properties.

Ultrashort pulses can be used to probe the time-dependent dielectric permittivity.

Abstract

Faraday rotation in a magnetoactive medium with time dependent dielectric permittivity tensor is analyzed through both its diagonal and non-diagonal elements. Continuous and pulse incident laser field cases are considered. In a continuous case linear increasing of Faraday rotation angle with time is obtained.In the continuous laser field case Faraday angle of rotation in both time dependent diagonal and non-diagonal element cases shows an increase with periodic oscillations as either positive (time-dependent dielectric permittivity case) or negative (time dependent gyration vector case) and follows a general pattern. Ultrashort pulse can scan the time dependent dielectric permittivity through the Faraday rotation angle.