Non-linear Stability Observation Using Magneto-Controlled Diffraction with Opto-Fluidics

We have developed a magneto-optical system which simulates the stability of fixed points and the trajectories of orbits present in dynamical systems. The question of stability is significant because a real-world system is constantly subject to small perturbations, and these orbits can be observed with a Ferrocell, a device using ferrofluid, which is a superparamagnetic fluid obtained with a kind of colloid containing surfactant coated nanometer ferromagnetic particles dispersed in a carrier liquid, and this device can be used in applications of optical effects. Our magneto-optical system is based in a Hele-Shaw cell containing ferrofluid, illuminated with an external light source, such as LED. By injecting a light propagating along the in-plane direction of the liquid film, the orbits can be observed, in a way that we can bend the light. The trajectories of the orbits are obtained by the diffracted light, which consists of light patterns, and these light patterns are related to Faraday effect, linear dichroism, and linear birefringence. The diffraction pattern is different from that produced by a wire because there are no fringes in these light patterns, and the absence of well-defined spacing between the fringes indicates the existence of multiple diffraction. Under certain circumstances, these light patterns can have the same properties of the force lines of magnetic fields. The main idea of this work is to propose a device applied to non-linear systems, based on magneto-photonics. We present the patterns obtained for different magnetic fields simulating dynamical systems.