In this study, the mapped Galerkin method was applied to solve the vector wave equation
based on H& / #8722 / field and to obtain the propagation constant in x & / #8722 / y space. The
vector wave equation was solved by the transformation of the infinite x & / #8722 / 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 & / #8722 / v and x & / #8722 / 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 x& / #8722 / y 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.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/2/12608361/index.pdf |
| Date | 01 May 2003 |
| Creators | Cildir, Sema |
| Contributors | Cakir, Serhat |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | Ph.D. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for METU campus |
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