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Solution of Helmholtz Equation Using Finite Differences Method in Wires Have Different Properties along X-Axis



Author(s)

Ayse Nihan Basmaci Filiz

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DOI:10.17265/2328-2223/2018.04.002

In this paper, frequencies of electromagnetic wave in a conductive wire are investigated theoretically. The conductive wire has specific variable material properties along the length of itself. Furthermore, material properties varying along the length of the wire are determined according to a specific mathematical function. In addition, the central finite difference method is applied to the Maxwell equations. The accuracy of the mode 1 frequency parameter is obtained to be 0.06%. This result can be obtained by assuming the number of conductive wire nodes 20. The obtained results show a very good agreement with the exact solution results.

Finite differences method, Helmholtz equation, Electromagnetic wave