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Mode Theory Of Optical Waveguide And Application

Posted on:2005-03-29Degree:MasterType:Thesis
Country:ChinaCandidate:X J WenFull Text:PDF
GTID:2168360122471292Subject:Optical Engineering
Abstract/Summary:PDF Full Text Request
As the development of wavelength division multiplexer and demultiplexer in optical communication system, the requirement for high performance of resolution elements and integrated circuits make integrated optics and waveguide theory the hot spot for research. In this area, theoretical analysis and numerical simulation are two basic methods. After the fail of theoretical analysis, people turn to numerical simulation. But numerical simulation is on the basis of theoretical analysis and can give the result of specific conditions. But the results it gives can only look as the standard for judgment, and cannot give us the essential method to solve problems or optimize current result. So the theoretical method is more important. But there still exist kinds of imperfectness. This thesis tries to modify the perfect set of waveguide mode theory and gives several examples of its application.Firstly, from the functional analysis, the eigenfunction series of vectorial partial differential operator is studied. The property of complete space is gotten. And this result is extended to the eigenfunction of Maxwell's equations. Then the mode series of step index planar dielectric waveguide and circular optical fiber are studied, including propagation modes and radiation modes. As application, there are three examples: the emergent wave from planar waveguide to free space, the transverse and longitudinal coupling of waveguide and the measurement of scalar gratings. The emergent wave from planar waveguide to free space means the modes of waveguide coupling to the modes of free space, the transverse and longitudinal coupling of waveguide means the modes of two waveguide coupling between each other, and scalar gratings means the modes coupling between one kind of free space to another. At the end of this thesis, a experiment-etch V-grooves on silicon is presented. This is prepared for the fixation of fiber to waveguide, the further experiment to study the coupling between optical fiber and waveguide.
Keywords/Search Tags:eigenfunction, orthogonal, complete series, optical waveguide, mode, coupling
PDF Full Text Request
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