Time dependent Faraday rotation

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.

Quantitative analysis of passive intermodulation and surface roughness

“…This is similar to quantum effects like the Casimir effect 54 . Problems when the refractive index depends on time have also been studied, 55 as well as consideration of so‐called time‐dependent Faraday rotation 53 . Thus it is clear that consideration of time‐varying $${\varepsilon }$$ is certainly of interest.…”

“…54 Problems when the refractive index depends on time have also been studied, 55 as well as consideration of so-called time-dependent Faraday rotation. 53 Thus it is clear that consideration of time-varying 𝜀 is certainly of interest. Throughout this section, we let Ω be a bounded, Lipschitz domain in ℝ 3 .…”

“…Here $$\omega$$ is a low frequency (see, e.g., Ref. 53). This last example is particularly relevant here since such a form of $${\varepsilon }$$ can be used to study the effect of electron–phonon coupling in metals undergoing thermal transport 56 …”

Faraday and Kerr Effects in Right and Left-Handed Films and Layered Materials

“…The time dependence case may concern both the diagonal and non-diagonal permittivity terms of ϵ ij (see Ref. [23]).…”

“…(9) becomes zero and θ T 1 in the magneto-optical metamaterial can be enhanced by almost an order of magnitude [22]. As well, when Faraday rotation has a time dependent dielectric permittivity tensor, where g = go cos(Ωt), (being Ω the angular frequency of the gyrotropic vector), it can be shown that the time dependent Faraday rotational angle contains an extra term (proportional to time t and to the frequency ratio ω Ω ) which increases faster than the stationary term and becomes dominant in short time spans, provided that ωt > 1 [23]).…”