Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Evgenii M. Karchevskii"'
Autor:
Anna I. Repina, Alina O. Oktyabrskaya, Alexander O. Spiridonov, Ilya V. Ketov, Evgenii M. Karchevskii
Publikováno v:
IET Microwaves, Antennas & Propagation, Vol 15, Iss 10, Pp 1133-1146 (2021)
Abstract This article discusses how a trade‐off between the high directionality of emissions and low threshold gain can be achieved in active eccentric microring cavities. Our findings are based on the lasing eigenvalue problem formalism, considere
Externí odkaz:
https://doaj.org/article/3310cf45181340fdb9e76cfbf8d903b3
Autor:
Alexander O. Spiridonov, Anna I. Repina, Ilya V. Ketov, Sergey I. Solov’ev, Evgenii M. Karchevskii
Publikováno v:
Axioms, Vol 10, Iss 3, p 184 (2021)
The paper investigates an algorithm for the numerical solution of a parametric eigenvalue problem for the Helmholtz equation on the plane specially tailored for the accurate mathematical modeling of lasing modes of microring lasers. The original prob
Externí odkaz:
https://doaj.org/article/c5312a272fdb438fb2216e3bc6e2e9b1
Publikováno v:
Axioms, Vol 8, Iss 3, p 101 (2019)
This study considers the mathematical analysis framework aimed at the adequate description of the modes of lasers on the threshold of non-attenuated in time light emission. The lasers are viewed as open dielectric resonators equipped with active regi
Externí odkaz:
https://doaj.org/article/b250b4ac76824af7ae1a7b329e1237e9
Publikováno v:
Computational Methods in Applied Mathematics. 22:31-46
The vector electromagnetic problem for eigenwaves of optical fibers, originally formulated on the whole plane, is equivalently reduced to a linear parametric eigenvalue problem posed in a circle, convenient for numerical solution. The study of the so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::326db970e6cb8ddc3fe31dde178e03b6
https://doi.org/10.1515/cmam-2020-0162
https://doi.org/10.1515/cmam-2020-0162
Publikováno v:
Lobachevskii Journal of Mathematics. 42:1402-1412
The current paper clarifies the connection between the generalized complex-frequency eigenvalue problem and the corresponding nonlinear eigenvalue problem for the set of Muller integral equations posed on two disjoint closed curves. It is proved that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::238b6e99e4823ef6c93c7ab7040ad487
https://doi.org/10.1134/s199508022106024x
https://doi.org/10.1134/s199508022106024x
Autor:
Alexander Spiridonov, Alina O. Oktyabrskaya, Ilya V. Ketov, Evgenii M. Karchevskii, Anna I. Repina
Publikováno v:
IET Microwaves, Antennas & Propagation, Vol 15, Iss 10, Pp 1133-1146 (2021)
This article discusses how a trade‐off between the high directionality of emissions and low threshold gain can be achieved in active eccentric microring cavities. Our findings are based on the lasing eigenvalue problem formalism, considered using t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::edb5b5075057ce2fb47326ac18f0055f
https://doi.org/10.1049/mia2.12103
https://doi.org/10.1049/mia2.12103
Publikováno v:
Lobachevskii Journal of Mathematics. 41:1377-1384
The current paper clarifies the connection between the generalized complex-frequency eigenvalue problem and the eigenvalue problem for the Muller boundary integral equations. It is proved that these problems are spectrally equivalent if a specially t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec97907b913ffd16602d5f1cf6cbb746
https://doi.org/10.1134/s1995080220070343
https://doi.org/10.1134/s1995080220070343
Publikováno v:
SIAM Journal on Applied Mathematics. 80:1977-1998
The current paper proposes a parametric eigenvalue problem for the Helmholtz equation on the plane based on two well-known physical models of emission from two-dimensional (2-D) microcavity lasers....
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ac4c9928e96817ffc82ed474900c33c
https://doi.org/10.1137/19m1261882
https://doi.org/10.1137/19m1261882
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783030878085
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d0c6d3fdbd01d2676eaad358b69ec1b0
https://doi.org/10.1007/978-3-030-87809-2_33
https://doi.org/10.1007/978-3-030-87809-2_33
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783030878085
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d7f58f4593ed0cf42218944ae77a545
https://doi.org/10.1007/978-3-030-87809-2_6
https://doi.org/10.1007/978-3-030-87809-2_6