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

TL;DR

This paper introduces new types of Positional Adapted Frames for curves in Minkowski 3-space and analyzes how electric field vectors evolve along these frames, including their Fermi-Walker and Lorentz force equations.

Contribution

It presents the definitions of type-2 and type-3 PAFs for spacelike and timelike curves in Minkowski 3-space and studies the evolution of electric fields within these frameworks.

Findings

Derived evolution equations for electric field vectors.

Analyzed Fermi-Walker parallelism of electric fields.

Explored Lorentz force equations for the electric fields.

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. From these PAFs, we study the evolutions of the electric field vectors of 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 field vectors for the type-2 and type-3 PAFs in Minkowski 3-space.