The evolution of the electric field along optical fiber with respect to the type-2 and 3 PAFs in Minkowski 3-space

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GÜRBÜZ Ş. N., Yoon D. W.

Tamkang Journal of Mathematics, vol.55, no.2, pp.113-128, 2024 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 2
  • Publication Date: 2024
  • Doi Number: 10.5556/j.tkjm.55.2024.5028
  • Journal Name: Tamkang Journal of Mathematics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Page Numbers: pp.113-128
  • Keywords: electric field vector, Lorentz force equation, magnetic field vector, Positional adapted frame
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

In this paper, we introduce the type-2 and the type-3 Positional Adapted Frame(PAF) of spacelike curve and timelike curve in Minkowski 3-space. We study the evolutions of the electric vector fields with respect to the type-2 and type-3 PAFs. As a result, we also investigate the Fermi-Walker parallel and the Lorentz force equation of the electric vector fields for the type-2 and type-3 PAFs in Minkowski 3-space.