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UBC Theses and Dissertations
Finite difference time domain modeling of diffraction losses in dielectric structures having translational symmetry Su, Wei
Abstract
This thesis concerns the quantification of the prism light guide's fundamental diffraction limit, by means of numerical simulation. A new technique is developed to model the intrinsically 3D problem of an off-axis incident plane striking the prism light guide wall, in a reduced 2D treatment which retains all the physics of the original problem. In order to study this system, a computer code is developed based on the Finite-Difference Time-Domain algorithm, and its accuracy is verified by modeling test systems having known analytical solutions. The system is then applied to the dimensionally reduced prism light guide problem. As expected, the numerical calculations show an approximate linear relation between the diffraction loss per reflection off the prism light guide wall A and the ratio of radiation wavelength to prism size, — . Previously, the ratio of a X loss fraction to — was unknown, and this work for the first time establishes the a ratio to be approximately 0.75, which is an encouraging result which means that prism light guides can be improved considerably relative to those manufactured today. A video tape showing the animation of diffraction process is provided. Two methods are then presented to attempt to reduce the diffraction losses. The first, re-shaping of the corners of the prisms in the prism light guide wall, does not show any improvement. However the second, in which metallic reflectors are placed just outside the prism corners, does reduce diffraction loss to some extent. This suggests that further research work is warranted to further reduce diffraction losses in a Prism Light Guide.
Item Metadata
Title |
Finite difference time domain modeling of diffraction losses in dielectric structures having translational symmetry
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1997
|
Description |
This thesis concerns the quantification of the prism light guide's
fundamental diffraction limit, by means of numerical simulation.
A new technique is developed to model the intrinsically 3D problem of an
off-axis incident plane striking the prism light guide wall, in a reduced 2D
treatment which retains all the physics of the original problem.
In order to study this system, a computer code is developed based on the
Finite-Difference Time-Domain algorithm, and its accuracy is verified by
modeling test systems having known analytical solutions. The system is then
applied to the dimensionally reduced prism light guide problem.
As expected, the numerical calculations show an approximate linear
relation between the diffraction loss per reflection off the prism light guide wall
A
and the ratio of radiation wavelength to prism size, — . Previously, the ratio of
a
X
loss fraction to — was unknown, and this work for the first time establishes the
a
ratio to be approximately 0.75, which is an encouraging result which means that
prism light guides can be improved considerably relative to those manufactured
today. A video tape showing the animation of diffraction process is provided.
Two methods are then presented to attempt to reduce the diffraction losses.
The first, re-shaping of the corners of the prisms in the prism light guide wall, does
not show any improvement. However the second, in which metallic reflectors are
placed just outside the prism corners, does reduce diffraction loss to some extent.
This suggests that further research work is warranted to further reduce diffraction
losses in a Prism Light Guide.
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Extent |
13006636 bytes
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Genre | |
Type | |
File Format |
application/pdf
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Language |
eng
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Date Available |
2009-03-11
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
|
DOI |
10.14288/1.0085152
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
1997-05
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.