Abstract
Observing the light passing through a thin layer of ferrofluid, we can see the occurrence of interesting effects, both in the formation patterns within the ferrofluid layer and in the dispersion of light outside that layer. This leads us to ask what the explanations associated with these effects are. In this paper, we analyze and explain the occurrence of these luminous patterns using a Ferrolens, commercially known as a Ferrocell. We present details of our experimental apparatus, followed by a discussion of some properties of light polarization and its relation to the formation of magnetic contours produced by a Ferrolens. In addition, we present the observation of a magnetochiral effect in this system. Next, we propose an application of this experiment in dynamical systems. The dynamical system is the direct observation of diffracted lines in Ferrolens, a special case of a Hele-Shaw cell containing a transparent ferrofluid subjected to various light sources.
Highlights
When the light passes through a thin layer of ferrofluid, we can observe directly with the naked eye the formation of interesting luminous patterns
Dynamical systems can be described in the abstract space known as phase space, which represents the evolution of the solutions of this system from quantities as a function of time
Our dynamical system is the direct observation of diffracted lines in the Ferrolens, a Hele-Shaw cell containing ferrofluid
Summary
When the light passes through a thin layer of ferrofluid, we can observe directly with the naked eye the formation of interesting luminous patterns. We applied this device to study dynamical systems. Dynamical systems can be described in the abstract space known as phase space, which represents the evolution of the solutions of this system from quantities as a function of time. In such systems, we can explore the geometry of these solutions and the correlated changes, when some parameter controlling the dynamical system is varied. We can explore the geometry of these solutions and the correlated changes, when some parameter controlling the dynamical system is varied In this space, we can recognize a variety of points, called node, saddle, focus, vortex, and so on, formed by the set of solutions [1]. This work aims to present a similar task, by using light and magnetic fields, inspired by the observation of light patterns in the Ferrolens [2], a device based on a Hele-Shaw cell containing ferrofluid, which can control light, acting as a magnetic lens
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