Propagation Characteristics of Tapered Core Helical Cald Dielectric Optical Fibers

Abstract

Using Maxwell's equations subject to suitable boundary conditions, a preliminary investigation of the propagation characteristics of a tapered optical fiber with helical windings is performed. Eigenvalue relations are developed followed by the discussion on the cutoff situations. Plots of the dispersion relations are presented corresponding to two particular values of the helical pitch angle, namely 0 • and 90 • , and the results are compared. It is observed from the dispersion relations that the helix pitch angle would greatly affect the modal characteristics of the guide, making thereby the angle of pitch as one of the dominant controlling parameters, so far as the fiber design is considered. This is further verified through the comparison of results with those obtained for dielectric tapered fibers without helical windings.

Tapered Optical Fibers – An Investigative Approach to the Helical and Liquid Crystal Types

“…(27) is solved for ψ = 0 (i.e. when the helical turns are perpendicular to the optical axis of the TOF), we finally obtain the characteristic dispersion relation as [56]     …”

Modal Analysis of Multilayer Conical Dielectric Waveguides for Azimuthal Invariant Modes

“…Determination of the propagation constant k of a mode and its corresponding mode field by solving the system of equations obtained from (12) are cumbersome. Instead, by applying the matrix representation of Maxwell's equation and using the general form of a solution (17), it is shown shortly that f u m,n satisfy an eigen-value problem whose eigen-values are allowable values of k. To derive this system of equations use is made of matrix algebra, as summarized in the following sub-sections.…”

“…Stepwise approximation [11,12], local coupled modes [13], and eikonal approximation [14] are among numerical methods of analysis in the cylindrical coordinate system while the other methods such as finite-difference time-domain (FDTD) [15,16], quasi-separation of variables approach [17,18], beam propagation method (BPM) [3], finite-difference beam propagation method [4] and finite-element method (FEM) [19] are proposed in the spherical coordinate system.…”

DIAGONAL HORN GAUSSIAN EFFICIENCY ENHANCEMENT BY DIELECTRIC LOADING FOR SUBMILLIMETER WAVE APPLICATION AT 150 GHz

“…A dielectric-loaded diagonal horn can concentrate most of the electromagnetic energy in the dielectric remaining minor fraction near the metal wall, producing a Gaussian field distribution in the dielectric cross-section [10][11][12]. The precision assurance problems, especially the imperfect smooth surface, will still exist in the dielectric manufacture, but the adverse effects are less serious than the metal diagonal horn case for the Gaussian field distribution.…”