New integral equations for design of optical circuits
Project/Area Number |
04650283
|
Research Category |
Grant-in-Aid for General Scientific Research (C)
|
Allocation Type | Single-year Grants |
Research Field |
電子通信系統工学
|
Research Institution | Gifu University |
Principal Investigator |
TANAKA Kazuo Gifu University, Professor, 工学部, 教授 (40092944)
|
Project Period (FY) |
1992 – 1993
|
Project Status |
Completed (Fiscal Year 1993)
|
Budget Amount *help |
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1993: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1992: ¥1,400,000 (Direct Cost: ¥1,400,000)
|
Keywords | Dielectric optical circuit / Integral equation / Computer aided design(CAD) / Boundary element mthod |
Research Abstract |
Head investigator Prof.Kazuo Tanaka of this project has discoverd new mathematical relation between scattering coefficient and coefficient of guided-mode in the optical-waveguide discontinuity problems in 1988-1989. Using this relation, we obtained a new algorithm for design of optical circuits based on new integral equation method (guided-mode extracted integral equation : GMEIE). We can regard the dielectric optical-waveguide discontinuity problems as a scattering problems of large-sized dielectric objects and these kinds of problems can be solved numerically by the conventional boundary-element method(BEM). Techniques of solving integral equations by BEM is the most orthodox method in modern numerical techniques and a large mount of experiences and knowledge concerning BEM are well known. Therefore, these experiences and knowledge can be used in the design of optical waveguide circuits. We obtained following new results in, this project : 1. We evaluated various properties of numerical calculation of the new algorithm based on GMEIE. 2. We showed many examples of analysis of various kind of optical-waveguide discontinuities and also showed that our results agree with rigorous solution. Furthermore, we applied our method to problems which have been difficult to analyze and obtained reasonable results. We found that our new method is very suitable to solver of Computer aided design (CAD) of optical circuits. 3. We showed that our method is applicable to the design of quantum-electron waveguide circuits and optical-circuits in near field optics (NFO).
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Report
(3 results)
Research Products
(17 results)