Abstract
This paper presents an improved approach for the propagation of electromagnetic (EM) fields along a helicalhollow waveguide, based on one bending and two bendings. The objective is to develop a mode model forinfrared (IR) wave propagation, in order to represent the effect of the radius of the cylinder of the helix and thestep’s angle on the output fields and the output power transmission. This model enables us to understand moreprecisely the influence of the step’s angle and the radius of the cylinder of the helix on the output results of eachsection of the helical waveguide, based on one bending and two bendings, for practical cases. The output powertransmission for all bending is improved by increasing the step’s angle or the radius of the cylinder of the helix,especially in the cases of space curved waveguides. This mode model can be a useful tool to improve the outputresults in all the cases of the helical hollow waveguides, based on one bending and two bendings, for industrialand medical regimes.
Highlights
Cylindrical hollow metallic and metallic with inner dielectric coating waveguide have been proposed in the literature
The objective is to develop a mode model for infrared (IR) wave propagation, in order to represent the effect of the radius of the cylinder of the helix and the step’s angle on the output fields and the output power transmission
In the circular guide it is found that the preferred T E01 mode can couple very effectively to the lossier T M11 mode when the guide undergoes a circular bend
Summary
Cylindrical hollow metallic and metallic with inner dielectric coating waveguide have been proposed in the literature. The first theoretical analysis of the problem of hollow cylindrical bent waveguides was published by Marcatili and Schmeltzer (Marcatili & Schmeltzer, 1964), where the theory considers the bending as a small disturbance and uses cylindrical coordinates to solve Maxwell equations. They derive the mode equations of the disturbed waveguide using the ratio of the inner radius r to the curvature radius R as a small parameter (r/R ≪ 1). The microwave approximation has been used for the index of refraction and the straight guide losses, and the results indicate very poor bending properties due to the near degeneracy of the T E01 and T M11 modes, thereby offering an explanation for the high losses observed in practice
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