دورية أكاديمية

Symbolic Investigation of the Spectral Characteristics of Guided Modes in Smoothly Irregular Waveguides

التفاصيل البيبلوغرافية
العنوان: Symbolic Investigation of the Spectral Characteristics of Guided Modes in Smoothly Irregular Waveguides
المؤلفون: Divakov D.V., Tyutyunnik A.A.
المصدر: Programming and computer software
المجموعة: RUDN University Open Repository (RUOR)
مصطلحات موضوعية: Eigenvalues and eigenfunctions, Guided electromagnetic wave propagation, Numerical methods, Waveguides, Computer algebra systems, Functional equation, Guided modes, Homogeneous system, Irregular waveguides, Numerical computations, Spectral characteristics, Spectral problem, Symbolic methods, Systems of algebraic equations, Functional analysis
الوصف: This paper considers a homogeneous system of functional equations that occurs when solving a spectral problem the eigenfunctions of which describe guided modes of smoothly irregular waveguides. The resulting system of functional equations is a homogeneous system of algebraic equations for any fixed argument. A symbolic method for solving systems of functional equations of this type is proposed. The method is implemented in the Maple computer algebra system. Results of numerical computations are presented to demonstrate the effectiveness of the developed symbolic-numerical method in comparison with the approach based on only numerical techniques. © 2022, Pleiades Publishing, Ltd.
نوع الوثيقة: article in journal/newspaper
اللغة: English
العلاقة: https://doi.org/10.1134/S0361768822020049Test; https://repository.rudn.ru/records/article/record/83699Test/
الإتاحة: https://doi.org/10.1134/S0361768822020049Test
https://repository.rudn.ru/records/article/record/83699Test/
رقم الانضمام: edsbas.F1F2DA6
قاعدة البيانات: BASE