电邮这篇文章 Symbolic-numerical implementation of the model of adiabatic guided modes for two-dimensional irregular waveguides
- 作者: Divakov D.1, Tyutyunnik А.1, Starikov D.1
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隶属关系:
- RUDN University
- 期: 编号 2 (2024)
- 页面: 45-50
- 栏目: КОМПЬЮТЕРНАЯ АЛГЕБРА
- URL: https://journals.rcsi.science/0132-3474/article/view/262642
- DOI: https://doi.org/10.31857/S0132347424020066
- EDN: https://elibrary.ru/ROVQMP
- ID: 262642
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详细
In this work, a symbolic-numerical solution of Maxwell’s equations is constructed, describing the guided modes of a two-dimensional smoothly irregular waveguide in the zeroth approximation of the model of adiabatic waveguide modes. The system of linear algebraic equations obtained in this approximation is solved symbolically. The dispersion relation is solved numerically using the parameter continuation method.
作者简介
D. Divakov
RUDN University
编辑信件的主要联系方式.
Email: divakov_dv@pfur.ru
俄罗斯联邦, 6 Miklukho-Maklaya St, Moscow, 117198
А. Tyutyunnik
RUDN University
Email: tyutyunnik_aa@pfur.ru
俄罗斯联邦, 6 Miklukho-Maklaya St, Moscow, 117198
D. Starikov
RUDN University
Email: starikov_da@pfur.ru
俄罗斯联邦, 6 Miklukho-Maklaya St, Moscow, 117198
参考
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- Egorov A.A., Sevastianov L.A. Structure of modes of a smoothly irregular integrated optical four-layer three-dimensional waveguide // Quantum Electronics. 2009. V. 39. № 6. P. 566–574.
- Egorov A.A., Lovetskiy K.P., Sevastianov A.L., Sevastianov L.A. Simulation of guided modes (eigenmodes) and synthesis of a thin-film generalised waveguide Luneburg lens in the zero-order vector approximation // Quantum Electronics. 2010. V. 40. № 9. P. 830–836.
- Babich V.M., Buldyrev V.S. Asimptotic Methods in Short-Wave Diffraction Problems. Method of Reference Problems, Moscow: Nauka, 1972.
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- Mathematics-based software and services for education, engineering, and research https://www.maplesoft.com/
- Divakov D.V., Tyutyunnik A.A. Symbolic investigation of the spectral characteristics of guided modes in smoothly irregular waveguides // Program. Comput. Software. 2022. V. 48. № 2. P. 80–89.
- Kuznetsov E.B., Shalashilin V.I. Solution of differential-algebraic equations using the parameter continuation method // Differ. Uravn. 1999. V. 35. № 3. P. 379–387.
- Divakov D.V., Tyutyunnik A.A. Symbolic-numerical modeling of adiabatic waveguide mode in a smooth waveguide transition // Comput. Math. Math. Phys. 2023. V. 63. № 1. P. 95–105.
