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Modeling of taper structures in cylindrical coordinates

S. Helfert, Reinhold Pregla

Open publisher page 6 citations

Abstract

The analysis of langitudinally varying structures in Cartesian coordinates is done by dividing it in homogeneous sections (fig.1) and solve the wave equation in each sector. As the modell does not describe the structure exactly a large number of sections is necessary and a lot of discretization lines are needed. For that reason the calculation in Cartesian coordinates requiers an enormous numerical effort. The way to analyze structures in Cartesian coordinates using the MoL-BPM is described in [1]-[3].

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What this paper is about

The analysis of langitudinally varying structures in Cartesian coordinates is done by dividing it in homogeneous sections (fig.1) and solve the wave equation in each sector. As the modell does not describe the structure exactly a large number of sections is necessary and a lot of discretization lines are needed. For that reason the calculation in Cartesian coordinates requiers an enormous numerical effort. The way to analyze structures in Cartesian coordinates using the MoL-BPM is described in [1]-[3].

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The analysis of langitudinally varying structures in Cartesian coordinates is done by dividing it in homogeneous sections (fig.1) and solve the wave equation in each sector. As the modell does not describe the structure exactly a large number of sections is necessary and a lot of discretization lines are needed. For that reason the calculation in Cartesian coordinates requiers an enormous numerical effort. The way to analyze structures in Cartesian coordinates using the MoL-BPM is described in [1]-[3].

Key concepts: Cartesian coordinate system, Orthogonal coordinates, Discretization, Log-polar coordinates, Homogeneous coordinates, Bipolar coordinates, Homogeneous, Cylindrical coordinate system

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