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Please use this identifier to cite or link to this item:
http://hdl.handle.net/2031/3782
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| Title: | Waveguide mode-solving techniques using finite difference method with coordinate stretching |
| Authors: | Lin, Li Ming (林立鳴) |
| Department: | Department of Mathematics |
| Issue Date: | 2002 |
| Course: | MA4530 |
| Programme: | BSc (Hons) in Computing Mathematics |
| Supervisor: | Dr. Lu Yayan |
| Subjects: | Optical wave guides
Finite differences |
| Abstract: | Dielectric waveguides are commonly used in photonic integrated circuits and their accurate
modeling is essential for the development of new, higher performance optical components
required by high-bandwidth communications system. Modal analysis is a critical part of
the waveguide design process, providing information on the modes that may propagate,
such as propagation constants and mode shapes. In brief, by reformulating the Maxwell
equation, the problem is deducted to an eigenvalue equation and it can be discretized by a
finite difference method. The full-vector waveguide equation is solved by the classic
inverse iteration method and the alternating-direction-implicit (ADI). In addition,
coordinate stretching technique is employed, which effectively removes the sensitivity of
the calculated results to the size of the computational domain. |
| URI: | http://hdl.handle.net/2031/3782 |
| Appears in Collections: | OAPS - Dept. of Mathematics
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