Wave Propagation in a Curved Waveguide with Arbitrary Dielectric Transverse Profiles

Abstract

Abstract-A rigorous approach is derived for the analysis of electromagnetic (EM) wave propagation in dielectric waveguides with arbitrary profiles, situated inside rectangular metal tubes, and along a curved dielectric waveguide. The first objective is to develop a mode model in order to provide a numerical tool for the calculation of the output fields for radius of curvature 0.1 m ≤ R ≤ ∞. Therefore we take into account all the terms in the calculations, without neglecting the terms of the bending. Another objective is to demonstrate the ability of the model to solve practical problems with inhomogeneous dielectric profiles. The method is based on Fourier coefficients of the transverse dielectric profile and those of the input wave profile. These improvements contribute to the application of the model for inhomogeneous dielectric profiles with single or multiple maxima in the transverse plane. This model is useful for the analysis of dielectric waveguides in the microwave and the millimeter-wave regimes, for diffused optical waveguides in integrated optics, and for IR regimes.

Infrared Wave Propagation in a Helical Waveguide With Inhomogeneous Cross Section and Applications

“…It should be noticed that a theoretical method [23] has been developed also for a curved waveguide with a rectangular cross section. Several examples computed on a Unix system are presented in the next sections, in order to demonstrate the results of this proposed method for a helical waveguide (a space curved waveguide for an arbitrary value of the step's angle of the helix) in the case of a hollow waveguide.…”

Wave Propagation in a Helical Waveguide With Slab and Rectangular Dielectric Profiles, and Applications

“…The total average-power transmitted along the guide in the ζ direction is given by a double integral of Eq. (18). A Fortran code is developed using NAG subroutines [26].…”

“…The methods in [18][19][20][21][22][23] employ toroidal or helical coordinates (and not cylindrical coordinates, such as in the methods that considered the bending as a perturbation (r/R 1)). The method in [18] has been derived for the analysis of EM wave propagation along a toroidal waveguide with a circular dielectric profile in the rectangular cross section. The method in [19] has been derived for the propagation of EM field along a helical waveguide with a circular dielectric profile in the rectangular cross section.…”

“…Several methods of propagation along the toroidal and helical waveguides were developed in [18][19][20][21][22][23], where the derivation is based on Maxwell's equations. The methods in [18][19][20][21][22][23] employ toroidal or helical coordinates (and not cylindrical coordinates, such as in the methods that considered the bending as a perturbation (r/R 1)).…”

Analyzing Wave Propagation in Helical Waveguides Using Laplace, Fourier, and Their Inverse Transforms, and Applications

“…The method for the analysis of EM wave propagation along the toroidal waveguide [18] has been derived with arbitrary profiles, and with rectangular metal tubes. An improved approach has been derived for the propagation of EM field along a toroidal dielectric waveguide with a circular cross-section [19].…”