| 负参数Mathieu函数类的计算 |
| |
| 引用本文： | 马达,章文勋,张善杰. 负参数Mathieu函数类的计算[J]. 东南大学学报(自然科学版), 2010, 40(1). DOI: 10.3969/j.issn.1001-0505.2010.01.003 |
| |
| 作者姓名： | 马达 章文勋 张善杰 |
| |
| 作者单位： | 东南大学毫米波国家重点实验室,南京,210096;南京大学电子科学与工程系,南京,210093 |
| |
| 基金项目： | 国家自然科学创新群体基金资助项目(60621002);;江苏省普通高校研究生科研创新计划资助项目 |
| |
| 摘 要： | 为解决实际工程尤其是电磁场问题中需要计算负参数Mathieu函数精确值的难题,在总结了含正、负参数的Mathieu函数之间变换关系的基础上,推导出了各类含负参数Mathieu导函数的叠加计算公式.并据此编制了各类含负参数Mathieu函数及其导函数的计算程序,给出相应的计算数表和函数曲线.通过与商业软件、参考文献及标准数学手册的对比,验证了计算结果的准确性和可靠性,修正并补充了参考文献和数学手册中的部分结果.所编制的Matlab程序包为实际工程应用中计算Mathieu函数类提供了有效的计算工具.
|
| 关 键 词： | 负参数Mathieu函数 负参数Mathieu导函数 程序包 |
Calculations of Mathieu functions with negative parameter |
| |
| Ma Da,Zhang Wenxun,Zhang Shanjie. Calculations of Mathieu functions with negative parameter[J]. Journal of Southeast University(Natural Science Edition), 2010, 40(1). DOI: 10.3969/j.issn.1001-0505.2010.01.003 |
| |
| Authors: | Ma Da Zhang Wenxun Zhang Shanjie |
| |
| Affiliation: | 1State Key Laboratory of Millimeter Waves;Southeast University;Nanjing 210096;China;2Department of Electronic Science and Engineering;Nanjing University;Nanjing 210093;China |
| |
| Abstract: | In order to calculate the accurate values of Mathieu functions with negative parameters in actual engineering,especially in electromagnetic field problems,the derivatives of Mathieu functions with negative parameter are deduced firstly based on the transformation between the Mathieu functions with positive and negative parameters.The subroutines for calculation of Mathieu functions are programmed.Some calculated results are represented in tables and curves,which are reliable in comparison with those by usin... |
| |
| Keywords: | Mathieu functions with negative parameter derivative of Mathieu functions with negative parameter routine package |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
