A Conjugate Linearly Polarized Light Wave Along an Optical Fiber with the Berry Phase Model and Its Magnetic Trajectories According to the Conjugate Frame

Symmetry, Journal Year: 2024, Volume and Issue: 16(11), P. 1518 - 1518

Published: Nov. 13, 2024

In this article, we study how a linear polarized wave that is going along an optical fiber works, which known not only as curve on Lie group but also rotation of the polarization plane. What are trying to show in article light waves (PLWs) related Berry phase. Moreover, give magnetic curves created by N traveling electromagnetic trajectories and generated electric field PLW moving through fiber. With described method, present mathematical model conveniently generate relationships between angular momentum three-dimensional group. The conjugate frame used removes unnecessary bending around tangent enables more dynamic characterization, can still be applied even when second derivative zero.

Language: Английский

Surface Family Pair with Bertrand Pair as Mutual Curvature Lines in Three-Dimensional Lie Group

Axioms, Journal Year: 2023, Volume and Issue: 12(9), P. 830 - 830

Published: Aug. 28, 2023

This paper is on deducing the necessary and sufficient conditions of a surface family pair with Bertrand as mutual curvature lines in three-dimensional Lie group G. As result, consequence for ruled also extrapolated. Meanwhile, examples are specified to show common geodesic curves.

Language: Английский