Based on high quality surgery and scientific data, scientists and surgeons are committed to
protecting patients as well as healthcare staff and hereby provide this Guidance to address …

In the present paper, we investigate the geometric properties of the linearly polarized light
wave (LPLW) and the homothetic motion of the polarization plane traveling in optical fiber in …

In this paper, we define a quaternionic operator whose scalar part is a real parameter and
vector part is a curve in three dimensional real vector space R 3. We prove that quaternion …

Along with other types of calculus, multiplicative calculus brings an entirely new perspective.
Geometry now has a new field as a result of this new understanding. In this study …

A canal surface is the envelope of a one-parameter set of spheres in three-dimensional
spaces. In this study, we have defined two canal surfaces by using unit timelike split …

A canal surface is a surface constructed as the envelope of a family of spheres with the
parametric (non constant radii) radii r (s) and a space curve α (s) α (s) called its center. If the …

In this paper, we introduce a new vector space, the three-dimensional geometric real vector
space ℝ 3 (G), and a new number system, multiplicative quaternions ℍ (G). We give some …

Circular surfaces are smooth one-parameter families of circles. This paper includes three
main purposes about circular surfaces and roller coaster surfaces defined as circular …

In the present paper, we give a generalization for the magnetic flux tubes. Firstly, we define
the flux tube via quaternions. We obtain the magnetic flux canal surfaces and flux tubes by …

In this paper, we aim a kinematic method to investigate the behavior of polarized light in an
optical fiber. Geometric phase equations are obtained using elliptic quaternions. The …