New integral equations for design of optical circuits

用于光路设计的新积分方程

• 批准号: 04650283
• 负责人: TANAKA Kazuo
• 金额: $ 1.34万
• 依托单位: Gifu University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1992
• 资助国家: 日本
• 起止时间: 1992 至 1993
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-04650283/
• 关键词: Dielectric optical circuit; Integral equation; Computer aided design(CAD); Boundary element mthod

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).

本项目的首席研究员田中和夫教授于1988-1989年提出了光波导不连续性问题中散射系数与导模系数之间的新的数学关系。利用这一关系，我们得到了一种基于新积分方程法（导模提取积分方程：GMEIE）的光路设计新算法。介质光波导不连续性问题可以看作是大尺寸介质目标的散射问题，这类问题可以用传统的边界元法进行数值求解。边界元法求解积分方程技术是现代数值计算技术中最正统的方法，已有大量的经验和知识。因此，这些经验和知识可用于光波导电路的设计。本课题取得了以下新成果：1.基于GMEIE对新算法的各种数值计算性能进行了评价.文中给出了许多分析各种光波导不连续性的例子，并表明我们的结果与严格解相符合。此外，我们将我们的方法应用到一些难以分析的问题，并得到了合理的结果。我们发现，我们的新方法非常适合于光路计算机辅助设计（CAD）的求解.结果表明，该方法适用于量子电子波导电路和近场光学（NFO）光路的设计。

项目成果

Kazuo Tanaka,Masahiro Tanaka Hisamitsu Tashima,Hiroki Otera Yoshikatsu Yoshino: "New integral eguation method for CAD of open wavegnide bends" Radio SCience to be published. (1993)

Kazuo Tanaka、Masahiro Tanaka Hisamitsu Tashima、Hiroki Otera Yoshikatsu Yoshino：“开放式波涅弯曲 CAD 的新积分方程方法”Radio Science 即将出版。

田中嘉津夫: "誘電体導波曲がり回路設計のための新しい積分方程式:導波モード分離型積分方程式" 電子情報通信学会論文誌. J76-C-1. 1-9 (1993)

Katsuo Tanaka：“介质波导弯曲电路设计的新积分方程：波导模式分离型积分方程”电子、信息和通信工程师学会学报 J76-C-1（1993）。

Kazuo Tanaka and Masaaki Nakahara: "New boundary integral equations for CAD of waveguide circuits:Guided-mode extracted integral equations" IEEE Trans on Microwave Theory and Techniques. MTT-40. 1647-1654 (1992)

Kazuo Tanaka 和 Masaaki Nakahara：“波导电路 CAD 的新边界积分方程：导模提取积分方程”IEEE Trans 微波理论与技术。

田中嘉津夫,吉野能旦,大寺夫紀: "電子波回路解析のための体積積分方程式" 電子情報通信学会論文誌. J77-C-1. 101-108 (1994)

Katsuo Tanaka、Notan Yoshino、Yuki Otera：“电子波电路分析的体积积分方程”电子、信息和通信工程师学会学报 J77-C-1 (1994)。

Kazuo Tanaka and Masahiro Nakahara: "New boundary integral eguations for CAD of waveguide circuits:Guided-Mode extracted integral eguations" IEEE Transaction on Microwave Theory and Techniques. MTT-40. 1647-1654 (1992)

Kazuo Tanaka 和 Masahiro Nakahara：“波导电路 CAD 的新边界积分方程：引导模式提取积分方程”IEEE 微波理论与技术汇刊。