Rigorous Formulation of the Lasing Eigenvalue Problem as a Spectral Problem for a Fredholm Operator Function
- 作者: Spiridonov A.1, Karchevskii E.1, Nosich A.2
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隶属关系:
- Department of Applied Mathematics
- Laboratory of Micro and Nano Optics
- 期: 卷 39, 编号 8 (2018)
- 页面: 1148-1157
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203057
- DOI: https://doi.org/10.1134/S1995080218080127
- ID: 203057
如何引用文章
详细
We propose a new convenient for mathematical investigation formulation of the lasing eigenvalue problem as a spectral problem for an operator-valued function, which involves boundary integral operators. We prove that these integral operators are weakly singular and the operator of the problem is Fredholm with index zero.
作者简介
A. Spiridonov
Department of Applied Mathematics
编辑信件的主要联系方式.
Email: aospiridonov@gmail.com
俄罗斯联邦, ul. Kremlevskaya 18, Kazan, 420008
E. Karchevskii
Department of Applied Mathematics
Email: aospiridonov@gmail.com
俄罗斯联邦, ul. Kremlevskaya 18, Kazan, 420008
A. Nosich
Laboratory of Micro and Nano Optics
Email: aospiridonov@gmail.com
乌克兰, vul. Proskury 12, Kharkiv, 61085