Knotted solutions of maxwell equations

Date

2019

Author

Altun, Salman Eren.

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We review Rañada’s knotted solutions of Maxwell equations in this thesis. We explain the method behind these constructions and its relation to topology. The method starts with the null field assumption. We obtain the initial conditions of the electromagnetic field using the Hopf map. Then we find the time-dependent fields using Fourier transformation techniques. Finally, we analyze the properties of general torus knotted solutions and show that these also include the non-null fields.

Subject Keywords

Electromagnetism., Keywords: Electromagnetism, knotted solutions, Hopf map.

URI

http://etd.lib.metu.edu.tr/upload/12623449/index.pdf
https://hdl.handle.net/11511/43978

Collections

Graduate School of Natural and Applied Sciences, Theses