2023
-
Ketov I.V, Spiridonov A.O, Repina A.I, Numerical Modeling of Lattice Modes of Photonic-Crystal Lasers by Galerkin Method with Exact Matrix Elements//Lobachevskii Journal of Mathematics. - 2023. - Vol.44, Is.1. - P.325-340.
-
Ketov I.V, Karchevskii E.M., Characteristic Equations for True and Fictitious Eigenvalues of Muller Boundary Integral Equations//Lobachevskii Journal of Mathematics. - 2023. - Vol.44, Is.9. - P.4016-4027.
-
Ketov I.V, Spiridonov A.O, Repina A.I, Numerical Modeling of the Transformation of Whispering Gallery Modes of Photonic Crystal Lasers into Lattice Modes//Lobachevskii Journal of Mathematics. - 2023. - Vol.44, Is.11. - P.5001-5011.
2022
-
Dautov R.Z, Karchevskii E.M., Accurate Full-Vectorial Finite Element Method Combined with Exact Non-Reflecting Boundary Condition for Computing Guided Waves in Optical Fibers//Computational Methods in Applied Mathematics. - 2021. - Vol., Is.. - Art. №20200162.
-
Beilina L, Ghaderi Aram M, Karchevskii E.M., An adaptive finite element method for solving 3D electromagnetic volume integral equation with applications in microwave thermometry//Journal of Computational Physics. - 2022. - Vol.459, Is.. - Art. №111122.
-
Dautov R.Z, Karchevskii E.M., Accurate Simulation of Guided Waves in Optical Fibers Using Finite Element Method Combined with Exact Non-reflecting Boundary Condition//Lecture Notes in Computational Science and Engineering. - 2022. - Vol.141, Is.. - P.69-79.
-
Кетов И.В., Октябрьская А.О., Спиридонов А.О., Карчевский Е.М. Истинные и фиктивные собственные значения системы граничных интегральных уравнений Мюллера // Программные продукты и системы, 3 (35), 2022, с. 316-328.
-
Ketov I. V., Spiridonov A. O., Repina A. I., Karchevskii E. M. Modeling of unidirectional radiation of microdisk resonators with small piercing holes by Galerkin method with accurately computed matrix elements // Program Systems: Theory and applications, 2022, 13:3(54), pp. 139–163. http:
//psta.psiras.ru/read/psta2022_3_139-163.pdf
-
Кетов И. В., Спиридонов А. О., Репина А. И., Карчевский Е. М. Моделирование однонаправленного излучения микродисковых резонаторов с отверстиями методом Галеркина с точно вычисляемыми матричными элементами // Программные системы: теория и приложения. 2022. Т. 13. №3(54). С. 113–137. http://psta.psiras.ru/read/psta2022_3_113-137.pdf
-
Repina A.I, Oktyabrskaya A.O, Ketov I.V, Accurate Simulation of On-Threshold Modes of Microcavity Lasers with Active Regions Using Galerkin Method//Lecture Notes in Computational Science and Engineering. - 2022. - Vol.141, Is.. - P.427-443.
2021
-
Repina Anna I., Oktyabrskaya Alina O., Spiridonov Alexander O., Trade-off between threshold gain and directionality of emission for modes of two-dimensional eccentric microring lasers analysed using lasing eigenvalue problem//IET MICROWAVES ANTENNAS & PROPAGATION. - 2021. - Vol., Is.. - .
-
Repina A.I, Ketov I.V, Oktyabrskaya A.O, Enhanced Directionality of Emission of the On-Threshold Modes of a High Refractive Index Microdisk Laser Due to a Small Piercing Hole//2021 IEEE 3rd Ukraine Conference on Electrical and Computer Engineering, UKRCON 2021 - Proceedings. - 2021. - Vol., Is.. - P.96-99.
-
Spiridonov A.O, Repina A.I, Ketov I.V, Solov'ev S.I., Karchevskii E.M. Exponentially convergent Galerkin method for numerical modeling of lasing in microcavities with piercing holes // Axioms. – 2021. – Vol. 10, Is.3. – Art. № 184. – P. 1–16.
-
Repina A.I, Oktyabrskaya A.O, Karchevskii E.M., Muller Boundary Integral Equations in the Microring Lasers Theory//Lobachevskii Journal of Mathematics. - 2021. - Vol.42, Is.6. - P.1402-1412.
2020
-
Spiridonov A.O, Karchevskii E.M., Mathematical and numerical modeling of a drop-shaped microcavity laser//Computer Research and Modeling. - 2019. - Vol.11, Is.6. - P.1083-1090.
-
Oktyabrskaya A.O, Repina A.I, Karchevskii E.M., Laser Modes of Active Circular Microcavity with Circular Piercing Hole//2020 IEEE 40th International Conference on Electronics and Nanotechnology, ELNANO 2020 - Proceedings. - 2020. - Vol., Is.. - P.207-210.
-
Oktyabrskaya A.O, Spiridonov A.O, Karchevskii E.M., Numerical modeling of active microcavities with piercing holes using the Muller boundary integral equations and the Galerkin method//Proceedings of the International Conference on Days on Diffraction 2019, DD 2019. - 2019. - Vol., Is.. - P.138-143.
-
Repina A.I, Oktyabrskaya A.O, Karchevskii E.M., Unidirectional Emission of Active Eccentric Microring Cavities//2020 IEEE East-West Design and Test Symposium, EWDTS 2020 - Proceedings. - 2020. - Vol., Is.. - Art. № 9225153.
- Spiridonov Alexander O., Oktyabrskaya Alina, Karchevskii Evgenii M., MATHEMATICAL AND NUMERICAL ANALYSIS OF THE GENERALIZED COMPLEX-FREQUENCY EIGENVALUE PROBLEM FOR TWO-DIMENSIONAL OPTICAL MICROCAVITIES//SIAM JOURNAL ON APPLIED MATHEMATICS. - 2020. - Vol.80, Is.4. - P.1977-1998.
-
Repina A.I, Oktyabrskaya A.O, Ketov I.V, Laser modes of active eccentric microring cavities//International Conference on Transparent Optical Networks. - 2020. - Vol.2020-July, Is.. - Art. № 9203752.
-
Oktyabrskaya A.O, Spiridonov A.O, Karchevskii E.M., Muller Boundary Integral Equations for Solving Generalized Complex-Frequency Eigenvalue Problem//Lobachevskii Journal of Mathematics. - 2020. - Vol.41, Is.7. - P.1377-1384.
-
Oktyabrskaya A.O, Repina A.I, Spiridonov A.O, Numerical modeling of on-threshold modes of eccentric-ring microcavity lasers using the Muller integral equations and the trigonometric Galerkin method//Optics Communications. - 2020. - Vol.476, Is.. - Art. № 126311.
2019
-
Spiridonov A.O, Karchevskii E.M, Benson T.M, Why elliptic microcavity lasers emit light on bow-tie-like modes instead of whispering-gallery-like modes//Optics Communications. - 2019. - Vol.439, Is.. - P.112-117.
-
Spiridonov Alexander O., Karchevskii Evgenii M., Nosich Alexander I, Mathematical and Numerical Modeling of On-Threshold Modes of 2-D Microcavity Lasers with Piercing Holes//AXIOMS. - 2019. - Vol.8, Is.3. - Art. №101.
-
Spiridonov A.O, Karchevskii E.M., Directivities and Thresholds of Laser Modes of Triangular Active Microcavities with Piercing Holes//2019 IEEE 39th International Conference on Electronics and Nanotechnology, ELNANO 2019 - Proceedings. - 2019. - Vol., Is.. - P.147-150.
-
Arbuzov A. A., Dautov R. Z., Karchevskii E. M., On Numerical Methods for Time-Dependent Eddy Current Problems for the Maxwell Equations in Inhomogeneous Media//UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI. - 2018. - Vol.160, Is.3. - P.477-494.
2018
-
Spiridonov A.O, Karchevskii E.M., Modal Fields of a Triangular Microcavity Laser with a Piercing Hole//International Conference on Mathematical Methods in Electromagnetic Theory, MMET. - 2018. - Vol.2018-July, Is.. - P.144-147.
-
Dautov R.Z, Karchevskii E.M., Numerical Modeling of Optical Fibers Using the Finite Element Method and an Exact Non-reflecting Boundary Condition//Computational Methods in Applied Mathematics. - 2018. - Vol.18, Is.4. - P.581-601.
-
А. А. Арбузов, Р. З. Даутов, Е. М. Карчевский, М. М. Карчевский, Д. В. Чистяков О численных методах решения квазистационарных уравнений Максвелла в неоднородных средах// Учен. зап. Казан. ун-та. Сер. Физ.-матем. науки,
- 2018, том 160, книга 3, - C. 477–494
F_Arbuzov_Dautov_Karchevskii2_Chistyakov_UchZAp_2018.pdf -
Spiridonov A.O, Karchevskii E.M, Nosich A.I., Rigorous Formulation of the Lasing Eigenvalue Problem as a Spectral Problem for a Fredholm Operator Function//Lobachevskii Journal of Mathematics. - 2018. - Vol.39, Is.8. - P.1148-1157.
-
Spiridonov A.O, Karchevskii E.M., Spectra, Thresholds, and Modal Fields of a Triangular Microcavity Laser//2018 IEEE 38th International Conference on Electronics and Nanotechnology, ELNANO 2018 - Proceedings. - 2018. - Vol., Is.. - P.168-172.
-
Spiridonov A.O, Karchevskii E.M., Residual Inverse Iteration for the Lasing Eigenvalue Problem//International Conference on Mathematical Methods in Electromagnetic Theory, MMET. - 2018. - Vol.2018-July, Is.. - P.129-131.
2017
-
Spiridonov A.O, Karchevskii E.M, Nosich A.I., Symmetry accounting in the integral-equation analysis of lasing eigenvalue problems for two-dimensional optical microcavities//Journal of the Optical Society of America B: Optical Physics. - 2017. - Vol.34, Is.7. - P.1435-1443.
-
Zolotukhina A.S, Spiridonov A.O, Karchevskii E.M, NosichA.I., Electromagnetic analysis of optimal pumping of a microdisk laser with a ring electrode//Applied Physics B: Lasers and Optics. - 2017. - Vol.123, Is.1. - Art. № 32.
2016
-
Zolotukhina A.S, Spiridonov A.O, Karchevskii E.M., Application of the optical theorem to the analysis of lasing thresholds in microlasers with ring-like active regions//International Conference on Mathematical Methods in Electromagnetic Theory, MMET. - 2016. - Vol.2016-August, Is.. - P.157-160.
-
Spiridonov A.O, Karchevskii E.M., Symmetry accounting helps solve the Lasing Eigenvalue Problems for optical microcavities//International Conference on Mathematical Methods in Electromagnetic Theory, MMET. - 2016. - Vol.2016-August, Is.. - P.240-243.
-
Zolotukhina A.S, Spiridonov A.O, Karchevskii E.M., Comparison of mode thresholds in microdisk and microring lasers with uniform and non-uniform gain profiles//International Conference on Transparent Optical Networks. - 2016. - Vol.2016-August, Is.. - Art. № 7550649.
-
Dautov R.Z, Karchevskii E.M., Numerical modeling of photonic crystal fibers using the finite element method//IOP Conference Series: Materials Science and Engineering. - 2016. - Vol.158, Is.1. - Art. № 012029.
-
Spiridonov A.O, Karchevskii E.M., Field patterns of whispering-gallery and bow-tie modes of elliptic microcavity lasers with circular active regions//International Conference on Transparent Optical Networks. - 2016. - Vol.2016-August, Is.. - Art. № 7550639.
-
Karchevskii E. M., Beilina L., Spiridonov A. O., Repina A.I. RECONSTRUCTION OF DIELECTRIC CONSTANTS OF MULTI-LAYERED OPTICAL FIBERS USING PROPAGATION CONSTANTS MEASUREMENTS//APPLIED AND COMPUTATIONAL MATHEMATICS. - 2016. - Vol.15, Is.3. - P.346-358.
-
Spiridonov A.O, Karchevskii E.M., Mathematical and numerical analysis of the spectral characteristics of dielectric microcavities with active regions//Proceedings of the International Conference Days on Diffraction, DD 2016. - 2016. - Vol., Is.. - P.390-395.
-
Dautov R.Z, Karchevskii E.M., Error estimates for a Galerkin method with perturbations for spectral problems of the theory of dielectric waveguides//Lobachevskii Journal of Mathematics. - 2016. - Vol.37, Is.5. - P.610-625.
2015
-
Karchevskii E.M, Spiridonov A.O., An inverse eigenvalue problem of the theory of optical waveguides//Proceedings of the International Conference Days on Diffraction 2014, DD 2014. - 2015. - Vol., Is.. - P.118-123.
-
Spiridonov A.O, Karchevskii E.M, Nosich A.I., Analytical regularization of a generalized eigenwave problem for weakly guiding step-index optical fibers by Muller boundary integral equations//Proceedings of the International Conference Days on Diffraction 2015, DD 2015. - 2015. - Vol., Is.. - P.327-332.
-
Spiridonov A.O, Karchevskii E.M, Nosich A.I., Spectra, thresholds, and modal fields of a circular microcavity laser transforming into a square//International Conference on Transparent Optical Networks. - 2015. - Vol.2015-August, Is.. - Art. № 7193654.
-
Zolotukhina A.S, Spiridonov A.O, Karchevskii E.M, Lasing modes of a microdisk with a ring gain area and of an active microring//Optical and Quantum Electronics. - 2015. - Vol.47, Is.12. - P.3883-3891.
-
Spiridonov A.O, Karchevskii E.M., Parallel computing for numerical calculations of step-index optical fibers eigenmodes by collocation method//Proceedings of the International Conference Days on Diffraction 2014, DD 2014. - 2015. - Vol., Is.. - P.209-214.
-
Zolotukhina A, Spiridonov A, Karchevskii E, Comparison of the lasing modes of a microdisk and a microring//International Conference on Transparent Optical Networks. - 2015. - Vol.2015-August, Is.. - Art. № 7193655.
2014
-
Karchevskii E., Spiridinov A., Repina A., Beilina L. Inverse Eigenvalue Problems in the Theory of Weakly Guiding Step-Index Optical Fibres. Preprint 2014:14. Department of Mathematical Sciences, Division of Mathematics, CHALMERS UNIVERSITY OF TECHNOLOGY, UNIVERSITY OF GOTHENBURG, Gothenburg, Sweden, 2014. Matematiska vetenskaper: Göteborg 2014, ISSN 1652-9715.
-
Karchevskii E.M, Spiridonov A.O, Repina A.I, Beilina L. Reconstruction of dielectric constants of core and cladding of optical fibers using propagation constants measurements//Physics Research International. - 2014. - Vol.2014, Is.. - Art. № 253435.
-
Karchevskii E, Nosich A., Methods of analytical regularization in the spectral theory of open waveguides//International Conference on Mathematical Methods in Electromagnetic Theory, MMET. - 2014. - Vol., Is.. - P.39-45.
-
Спиридонов А.О., Репина А.И., Е.М. Карчевский Обратные спектральные задачи и метод коллокации в теории слабо направляющих диэлектрических волноводов // Сеточные методы для краевых задач и приложения. Материалы Десятой Международной конференции. - Казань: Казанский университет, 2014. - с. 547-553
2013
-
E. Karchevskiy and Y. Shestopalov Mathematical and Numerical Analysis of Dielectric Waveguides by the Integral Equation Method // PIERS 2013. Progress In Electromagnetics Research Symposium Abstracts, Stockholm, Sweden, Aug. 12-15, 2013 p. 401
-
Karchevskiy E, Shestopalov Y., Mathematical and numerical analysis of dielectric waveguides by the integral equation method//Progress in Electromagnetics Research Symposium. - 2013. - Vol., Is.. - P.388-393.
-
Frolov A, Kartchevskiy E., Integral Equation Methods in Optical Waveguide Theory//Springer Proceedings in Mathematics and Statistics. - 2013. - Vol.52, Is.. - P.119-133.
-
Spiridonov A.O, Karchevskiy E.M., Projection methods for computation of spectral characteristics of weakly guiding optical waveguides//Proceedings of the International Conference Days on Diffraction 2013, DD 2013. - 2013. - Vol., Is.. - P.131-135.
2012
-
Bourganov A.F., Karchevskiy E.M., Pleshchinskii N.B. Electromagnetic wave diffraction on the conducting thin screen placed on the isotropic and anisotropic media interface // PIERS 2012. Progress In Electromagnetics Research Symposium. August 19-23, 2012, Moscow, Russia. Abstracts. - P.70.
-
Karchevskiy E.M., Pleshchinskii N.B. Parallel algorithm of solving the electromagnetic wave diffraction problem on the spherical screen // PIERS 2012. Progress In Electromagnetics Research Symposium. August 19-23, 2012, Moscow, Russia. Abstracts. - P.71.
-
A. S. Il'inskii and E. M. Karchevskiy Integral Equation Methods in Optical Waveguide Theory // PIERS 212. Progress In Electromagnetics Research Symposium Proceedings, Moscow, Russia, August 19-23, 2012 pp. 135-139 [Scopus, WoS]
-
Il'Inskii A.S, Karchevskiy E.M., Integral equation methods in optical waveguide theory//Progress in Electromagnetics Research Symposium. - 2012. - Vol., Is.. - P.135-139.
-
Bourganov A.F, Karchevskiy E.M, Pleshchinskii N.B., Electromagnetic wave diffraction on the conducting thin screen placed on the isotropic and anisotropic media interface//Progress in Electromagnetics Research Symposium. - 2012. - Vol., Is.. - P.127-130.
-
Karchevskiy E.M, Pleshchinskii N.B., Parallel algorithm of solving the electromagnetic wave diffraction problem on the spherical screen//Progress in Electromagnetics Research Symposium. - 2012. - Vol., Is.. - P.131-134.
-
A. S. Il'inskii and E. M. Karchevskiy Integral Equation Methods in Optical Waveguide Theory // PIERS 212. Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19-23, 2012 p. 72
2011
-
A. Frolov, E. Kartchevskiy Generalized modes of optical fiber // Abstracts of the International Conference - Days on Diffraction - 2011 May 30 - June 3, 2011, St. Petersburg, Russia. pp. 35-36
-
A. Frolov, E. Kartchevskiy Generalized modes of optical fiber // Proceedings of the International Conference - Days on Diffraction - 2011 May 30 - June 3, 2011, St. Petersburg, Russia. pp. 67-71.
2010
2009
-
Karchevskiy E.M. Integral Equations Method in the Theory of Dielectric Waveguides // PIERS 2009. Progress in Electromagnetics Research Symposium, Moscow, August 18-21, 2009: Proceedings. - Cambridge: The Electromagnetics Academy, 2009. - p. 1122-1126. (ISSN 1559-9450, ISBN: 978-1-934142-10-3)
-
Dautov R.Z., Karchevskiy E.M. Exact Nonlocal Boundary Conditions in the Theory of Dielectric Waveguides // PIERS 2009. Progress in Electromagnetics Research Symposium, Moscow, August 18-21, 2009: Proceedings. - Cambridge: The Electromagnetics Academy, 2009. - p. 1127-1131. (ISSN 1559-9450, ISBN: 978-1-934142-10-3)
-
Dautov R.Z., Karchevskiy E.M. Exact Nonlocal Boundary Conditions in the Theory of Dielectric Waveguides // PIERS 2009. Progress in Electromagnetics Research Symposium, Moscow, August 18-21, 2009: Abstracts. - Cambridge: The Electromagnetics Academy, 2009. - p. 649.
-
Pleshchinskii N.B., Pleshchinskaya I.E., Karchevskiy E.M. The over-determined boundary value problem method in the electromagnetic waves propagation and diffraction theory // PIERS 2009. Progress In Electromagnetics Research Symposium. August 18-21, 2009, Moscow, Russia. Abstracts. - P.662.
-
Karchevskiy E.M. Integral Equations Method in the Theory of Dielectric Waveguides // PIERS 2009. Progress in Electromagnetics Research Symposium, Moscow, August 18-21, 2009: Abstracts. - Cambridge: The Electromagnetics Academy, 2009. - p. 648.
-
Pleshchinskii N.B., Pleshchinskaya I. E., Karchevskiy E.M. The Over-determined Boundary Value Problem Method in the Electromagnetic Waves Propagation and Diffraction Theory // PIERS 2009. Progress in Electromagnetics Research Symposium, Moscow, August 18-21, 2009: Proceedings. - Cambridge: The Electromagnetics Academy, 2009. - p. 1132-1136. (ISSN 1559-9450, ISBN: 978-1-934142-10-3)
2008
2007
2006
2005
-
R.Z. Dautov, E.M. Karchevskii, and G.P. Kornilov A Numerical Method for Finding Dispersion Curves and Guided Waves of Optical Waveguides // Computational Mathematics and Mathematical Physics, Vol. 45, No. 12, 2005, pp. 2119-2134.
Dautov_Karchevskii_Kornilov_CMMP05.pdf -
Kartchevski E.M. Mathematical analysis of the generalized natural modes of an inhomogeneous optical fiber / E.M. Kartchevski, A.I. Nosich, G.W. Hanson // SIAM J. Appl. Math. - 2005. - V. 65. - № 6. - P. 2033-2048.
2004
2003
2002
2001
2000
1999
1998
1996
1995
| Work address: | 35 Kremlevskaya Str., Kazan, Building №14 (unit # 2) |
| Office number: | 1210 |
| Phone: | 2337038 |
| E-mail: | ekarchev@yandex.ru |
| Google scholar: | https://scholar.google.ru/citations?user=EwDeWpMAAAAJ&hl=ru |
| ORCID: | http://orcid.org/0000-0001-6931-425X |
| Web of Science (Researcher ID) : | http://www.researcherid.com/rid/N-2509-2015 |
| eLIBRARY: | http://elibrary.ru/author_items.asp?authorid=5149 |
| ResearchGate: | https://www.researchgate.net/profile/Evgenii_Karchevskii |
| Scopus (Author ID): | http://www.scopus.com/authid/detail.uri?authorId=6508019477 |
| Experience: |
| Scientific and pedagogical experience: |
| General experience: |
| Experience in KFU: |
