Series solution of the wave equation in optic fiber

Çıldır, Sema
In this study, the mapped Galerkin method was applied to solve the vector wave equation based on H field and to obtain the propagation constant in x y space. The vector wave equation was solved by the transformation of the infinite x y plane onto a unit square. Two-dimensional Fourier series expansions were used in the solutions. Modal fields and propagation constants of dielectric waveguides were calculated. In the first part of the study, all of the calculations were made in step index fibers. Transverse magnetic fields were obtained in the u v and x y space through the solution of the matrix eigenvalue equation. Some graphics were plotted in the light of the results obtained. The results are found to be in accord with the results of other numerical techniques and exact solutions. After that, the propagation constant in xy space was calculated with ease using the solution of the modal field components. In the second part of the study, the similar calculations were made in graded index fibers.


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Citation Formats
S. Çıldır, “Series solution of the wave equation in optic fiber,” Ph.D. - Doctoral Program, Middle East Technical University, 2007.