Photonic Dipole Contours of Ferrofluid Hele-Shaw Cell

Physics – Fluid Dynamics

Scientific paper

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23 pages, 17 figures; Revision has two new photographs. Changed content to address new photographs. Corrected minor mistakes a

Scientific paper

This investigation describes and demonstrates a novel technique for the visualization of magnetic fields. Two ferrofluid Hele-Shaw cells have been constructed to facilitate the imaging of magnetic field lines. We deduce that magnetically induced photonic band gap arrays similar to electrostatic liquid crystal operation are responsible for the photographed images and seek to mathematically prove the images are of dipole nature. A simple way of explaining this work is to think of the old magnetic iron filling experiments; but now each iron filling is a molecule floating in a liquid. Each molecule has the freedom to act as an independent lens that can be aligned by an external magnetic field. Because each lens directs light, the external field can be analyzed by following the light paths captured in the photographs.

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