Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric
文献类型：期刊论文
| 作者 | Stuart, CA; Zhou, HS |
| 刊名 | ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
 |
| 出版日期 | 2001 |
| 卷号 | 18期号:1页码:69-96 |
| 英文摘要 | We establish the existence of nontrivial solutions for the nonlinear eigenvalue problem which describes self-trapped transverse magnetic field modes in a cylindrical optical fiber made from a self-focusing dielectric material. It amounts to finding solutions in the Sobolev space H-0(1)(0, infinity) of a singular second order differential equation which is quasilinear and, in an appropriate sense, asymptotically linear. Solutions are critical points of an energy functional which has a mountain pass structure, although for all relevant parameter values the problem is in resonance at infinity. The quasilinearity complicates the proof of a Palais-Smale condition, and the asymptotic linearity means that the standard methods for showing that a P-S sequence is bounded do not apply. Both the linearization and the asymptotic linearization have only continuous spectrum. The eigenvalues determine the wavelengths of self-trapped modes and our results establish the existence of such modes for the largest possible range of wavelengths. (C) 2001 Editions scientifiques ct medicales Elsevier SAS. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | ELECTROMAGNETIC-FIELD |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000166926500004 |
| 公开日期 | 2015-12-08 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/8659]  |
| 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, Dept Math, CH-1015 Lausanne, Switzerland 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Young Scientist Lab Math Phys, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Stuart, CA,Zhou, HS. Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,2001,18(1):69-96. |
| APA | Stuart, CA,&Zhou, HS.(2001).Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,18(1),69-96. |
| MLA | Stuart, CA,et al."Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric".ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 18.1(2001):69-96. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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