Horocycles of Light in a Ferrocell
We studied the effects of image formation in a device known as Ferrocell, which consists of a thin film of a ferrofluid solution between two glass plates subjected to an external magnetic field in the presence of a light source. Following suggestions found in the literature, we compared the Ferrocel...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Condensed Matter |
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| Online Access: | https://www.mdpi.com/2410-3896/6/3/30 |
| _version_ | 1797519771860729856 |
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| author | Alberto Tufaile Michael Snyder Adriana Pedrosa Biscaia Tufaile |
| author_facet | Alberto Tufaile Michael Snyder Adriana Pedrosa Biscaia Tufaile |
| author_sort | Alberto Tufaile |
| collection | DOAJ |
| description | We studied the effects of image formation in a device known as Ferrocell, which consists of a thin film of a ferrofluid solution between two glass plates subjected to an external magnetic field in the presence of a light source. Following suggestions found in the literature, we compared the Ferrocell light scattering for some magnetic field configurations with the conical scattering of light by thin structures found in foams known as Plateau borders, and we discuss this type of scattering with the concept of diffracted rays from the Geometrical Theory of Diffraction. For certain magnetic field configurations, a Ferrocell with a point light source creates images of circles, parabolas, and hyperboles. We interpret the Ferrocell images as analogous to a Möbius transformation by inversion of the magnetic field. The formation of circles through this transformation is known as horocycles, which can be observed directly in the Ferrocell plane. |
| first_indexed | 2024-03-10T07:47:31Z |
| format | Article |
| id | doaj.art-83fc31172821458fae3934b75e040043 |
| institution | Directory Open Access Journal |
| issn | 2410-3896 |
| language | English |
| last_indexed | 2024-03-10T07:47:31Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Condensed Matter |
| spelling | doaj.art-83fc31172821458fae3934b75e0400432023-11-22T12:33:40ZengMDPI AGCondensed Matter2410-38962021-08-01633010.3390/condmat6030030Horocycles of Light in a FerrocellAlberto Tufaile0Michael Snyder1Adriana Pedrosa Biscaia Tufaile2Soft Matter Lab, School of Arts, Sciences and Humanities, University of São Paulo, São Paulo 03828-000, BrazilSpace Science Center, 235 Martindale Drive, Morehead State University, Morehead, KY 40531, USASoft Matter Lab, School of Arts, Sciences and Humanities, University of São Paulo, São Paulo 03828-000, BrazilWe studied the effects of image formation in a device known as Ferrocell, which consists of a thin film of a ferrofluid solution between two glass plates subjected to an external magnetic field in the presence of a light source. Following suggestions found in the literature, we compared the Ferrocell light scattering for some magnetic field configurations with the conical scattering of light by thin structures found in foams known as Plateau borders, and we discuss this type of scattering with the concept of diffracted rays from the Geometrical Theory of Diffraction. For certain magnetic field configurations, a Ferrocell with a point light source creates images of circles, parabolas, and hyperboles. We interpret the Ferrocell images as analogous to a Möbius transformation by inversion of the magnetic field. The formation of circles through this transformation is known as horocycles, which can be observed directly in the Ferrocell plane.https://www.mdpi.com/2410-3896/6/3/30ferrofluidmagnetismmagneto-opticshyperbolic geometryoptics |
| spellingShingle | Alberto Tufaile Michael Snyder Adriana Pedrosa Biscaia Tufaile Horocycles of Light in a Ferrocell Condensed Matter ferrofluid magnetism magneto-optics hyperbolic geometry optics |
| title | Horocycles of Light in a Ferrocell |
| title_full | Horocycles of Light in a Ferrocell |
| title_fullStr | Horocycles of Light in a Ferrocell |
| title_full_unstemmed | Horocycles of Light in a Ferrocell |
| title_short | Horocycles of Light in a Ferrocell |
| title_sort | horocycles of light in a ferrocell |
| topic | ferrofluid magnetism magneto-optics hyperbolic geometry optics |
| url | https://www.mdpi.com/2410-3896/6/3/30 |
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