复杂天线系统的数学建模

2016 2nd International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM) Pub Date : 1900-01-01 DOI:10.1109/ICIEAM.2016.7911680

B. KhashimovA., S. Ural

{"title":"复杂天线系统的数学建模","authors":"B. KhashimovA., S. Ural","doi":"10.1109/ICIEAM.2016.7911680","DOIUrl":null,"url":null,"abstract":"The mathematical model of an antenna system as a set of dipoles array located above complex shape perfectly conducting reflector is offered. The general model is formulated as a compact system of rigorous integral equations. The Pocklington's integral equation for current distributions of dipoles is used. The technique for correct solving the Fredholm's integral equation of kind II for small thickness complex shape reflector and the method for numerical solving ill-posed equations are proposed. Using the correspondence of asymptotic solutions to 2D and 3D problems in antenna engineering leads to simple form of the model but only for limited cases, such as parallel polarization of dipoles to reflector axis and perpendicular plane for calculating the far-field pattern.","PeriodicalId":130940,"journal":{"name":"2016 2nd International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM)","volume":"186 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Mathematical modeling of complex antenna system\",\"authors\":\"B. KhashimovA., S. Ural\",\"doi\":\"10.1109/ICIEAM.2016.7911680\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The mathematical model of an antenna system as a set of dipoles array located above complex shape perfectly conducting reflector is offered. The general model is formulated as a compact system of rigorous integral equations. The Pocklington's integral equation for current distributions of dipoles is used. The technique for correct solving the Fredholm's integral equation of kind II for small thickness complex shape reflector and the method for numerical solving ill-posed equations are proposed. Using the correspondence of asymptotic solutions to 2D and 3D problems in antenna engineering leads to simple form of the model but only for limited cases, such as parallel polarization of dipoles to reflector axis and perpendicular plane for calculating the far-field pattern.\",\"PeriodicalId\":130940,\"journal\":{\"name\":\"2016 2nd International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM)\",\"volume\":\"186 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 2nd International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIEAM.2016.7911680\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 2nd International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIEAM.2016.7911680","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 1

摘要

给出了一组偶极子阵列天线系统的数学模型，该天线系统位于复杂形状的完全导电反射面之上。一般模型被表示为严格积分方程的紧致系统。用波克林顿积分方程求解偶极子的电流分布。提出了小厚度复形反射器第二类Fredholm积分方程的正确求解方法和不适定方程的数值求解方法。利用天线工程中二维和三维问题渐近解的对应关系，使模型形式简单，但仅适用于偶极子与反射面轴平行极化和计算远场方向图的垂直平面等有限情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Mathematical modeling of complex antenna system

The mathematical model of an antenna system as a set of dipoles array located above complex shape perfectly conducting reflector is offered. The general model is formulated as a compact system of rigorous integral equations. The Pocklington's integral equation for current distributions of dipoles is used. The technique for correct solving the Fredholm's integral equation of kind II for small thickness complex shape reflector and the method for numerical solving ill-posed equations are proposed. Using the correspondence of asymptotic solutions to 2D and 3D problems in antenna engineering leads to simple form of the model but only for limited cases, such as parallel polarization of dipoles to reflector axis and perpendicular plane for calculating the far-field pattern.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2016 2nd International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM)

自引率

0.00%

发文量