Maxwell denklemlerinin düğümlü çözümleri.

---

Tezin Türü: Yüksek Lisans

Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Fen Edebiyat Fakültesi, Fizik Bölümü, Türkiye

Tezin Onay Tarihi: 2019

Öğrenci: Salman Eren. Altun

Danışman: BAHTİYAR ÖZGÜR SARIOĞLU

Özet:

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.