Computing the propagation characteristics of radially stratified fibers: an efficient method

Abstract

An efficient method is introduced in this paper to compute the dispersion characteristics as well as the Poynting flux distribution of radially stratified fibers. Only 4 x 4 matrix operations were needed. Detailed results are given for several representative radially inhomogeneous fibers of practical interest.

Gratings in novel fibre geometry for applications in shape sensing

“…In the work reported here, the values of the core and cladding modes effective ( indices were obtained by solving numerically the dispersion relationship for a 4-layered fibre using the technique described by Yeh & Lindgren [12]. The predicted values were confirmed using Tsao's expressions for a dispersion relationship for a 4-layered fibre [11].…”

“…The number and the spectral properties of cladding modes are determined by the fibre structure [10][11][12]. The geometrical dependence is not apparent from equations (2) and (3), but is taken into account in deriving the dispersion relation for a given refractive index profile [12].…”

Analogy Between Circular Core-Cladding and Impedance Waveguides and Their Membrane Functions

“…It is well known [46,47] that for multi-layer waveguide the straightforward derivation yields dispersion equation in the form of zero determinant of large size matrix. To avoid problems associated with such matrices, the so-called matrix approach was proposed in [46].…”

“…To avoid problems associated with such matrices, the so-called matrix approach was proposed in [46]. Our approach is the alternative.…”

3-D Terahertz Synthetic-Aperture Imaging and Spectroscopy

“…First, we must express the fields in cylindrical coordinates in terms of physical parameters and arbitrary coefficients. [92] However, using the basis representation found in [93], the tangential fields can be matched at all…”