EXISTENCE OF GUIDED CYLINDRICAL TM-MODES IN AN INHOMOGENEOUS SELF-FOCUSING DIELECTRIC
文献类型：期刊论文
| 作者 | Stuart, C. A.1; Zhou, Huan-Song2 |
| 刊名 | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
 |
| 出版日期 | 2010-09-01 |
| 卷号 | 20期号:9页码:1681-1719 |
| 关键词 | Nonlinear dielectric guided waves mountain pass theorem |
| 产权排序 | 第二 |
| 英文摘要 | We consider an eigenvalue problem for a certain type of quasi-linear second-order differential equation on the interval (0, infinity). Using an appropriate version of the mountain pass theorem, we establish the existence of a positive solution in H(0)(1)(0, infinity) for a range of values of the eigenvalue. It is shown that these solutions generate solutions of Maxwell's equations having the form of guided travelling waves propagating through a self-focusing dielectric. Motivated by models of optical fibres, the refractive index of the dielectric has an axial symmetry but may vary with distance for the axis. Previous existence results for this problem deal only with the homogeneous case. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | 非线性偏微分方程 |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | LINEAR ELLIPTIC PROBLEM ; R-N |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000283497800005 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/2062]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.Ecole Polytech Fed Lausanne, Sect Math, Stn 8, CH-1015 Lausanne, Switzerland 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Stuart, C. A.,Zhou, Huan-Song. EXISTENCE OF GUIDED CYLINDRICAL TM-MODES IN AN INHOMOGENEOUS SELF-FOCUSING DIELECTRIC[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2010,20(9):1681-1719. |
| APA | Stuart, C. A.,&Zhou, Huan-Song.(2010).EXISTENCE OF GUIDED CYLINDRICAL TM-MODES IN AN INHOMOGENEOUS SELF-FOCUSING DIELECTRIC.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,20(9),1681-1719. |
| MLA | Stuart, C. A.,et al."EXISTENCE OF GUIDED CYLINDRICAL TM-MODES IN AN INHOMOGENEOUS SELF-FOCUSING DIELECTRIC".MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 20.9(2010):1681-1719. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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