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Wave propagation in optical fibers: ...
~
Alexandrov, Oleg.
Wave propagation in optical fibers: Analysis and optimization.
紀錄類型:
書目-電子資源 : 單行本
正題名/作者:
Wave propagation in optical fibers: Analysis and optimization./
作者:
Alexandrov, Oleg.
面頁冊數:
107 p.
附註:
Source: Dissertation Abstracts International, Volume: 65-08, Section: B, page: 4049.
Contained By:
Dissertation Abstracts International65-08B.
標題:
Mathematics. -
電子資源:
Download fulltext (下載全文)
ISBN:
049600476X
Wave propagation in optical fibers: Analysis and optimization.
Alexandrov, Oleg.
Wave propagation in optical fibers: Analysis and optimization.
- 107 p.
Source: Dissertation Abstracts International, Volume: 65-08, Section: B, page: 4049.
Thesis (Ph.D.)--University of Minnesota, 2004.
This thesis has three parts. In the first part, we find an expression for a Green's function in a cylindrical dielectric optical fiber. We also find its asymptotic expansion, which proves that this Green's function is the physical solution, radiating away from the source.
ISBN: 049600476XSubjects--Topical Terms:
146772
Mathematics.
Wave propagation in optical fibers: Analysis and optimization.
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Source: Dissertation Abstracts International, Volume: 65-08, Section: B, page: 4049.
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Adviser: Fadil Santosa.
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Thesis (Ph.D.)--University of Minnesota, 2004.
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This thesis has three parts. In the first part, we find an expression for a Green's function in a cylindrical dielectric optical fiber. We also find its asymptotic expansion, which proves that this Green's function is the physical solution, radiating away from the source.
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In the second part of the thesis we are concerned with a problem of optimization. We consider a micro-structured optical fiber with a large air hole at its axis, and possessing a mode which travels mostly through this air hole. Starting with this fiber cross section, we optimize it to obtain a mode which is most focused at the fiber axis.
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While working on this optimization problem, we realized a need for a level set method which preserves geometry and topology constraints. This is the subject of the third chapter of the thesis. We prove the effectiveness of our method, discuss the numerical issues in implementation, and provide two numerical examples.
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Download fulltext (下載全文)
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