Rigorous Formulation of the Lasing Eigenvalue Problem as a Spectral Problem for a Fredholm Operator Function
- Авторлар: Spiridonov A.1, Karchevskii E.1, Nosich A.2
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Мекемелер:
- Department of Applied Mathematics
- Laboratory of Micro and Nano Optics
- Шығарылым: Том 39, № 8 (2018)
- Беттер: 1148-1157
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203057
- DOI: https://doi.org/10.1134/S1995080218080127
- ID: 203057
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
A. Spiridonov
Department of Applied Mathematics
Хат алмасуға жауапты Автор.
Email: aospiridonov@gmail.com
Ресей, ul. Kremlevskaya 18, Kazan, 420008
E. Karchevskii
Department of Applied Mathematics
Email: aospiridonov@gmail.com
Ресей, ul. Kremlevskaya 18, Kazan, 420008
A. Nosich
Laboratory of Micro and Nano Optics
Email: aospiridonov@gmail.com
Украина, vul. Proskury 12, Kharkiv, 61085
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