Mode Basis Construction for Circular Dielectric Waveguide by Integral Equation Approach
A new method based on the integral equation approach is proposed for mode basis construction for a circular dielectric waveguide in free space. The expressions for mode and norm functions are obtained in closed form. The rapid convergence of the expansion of frequency domain mode over obtained basis...
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| Date: | 2012 |
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| Main Author: | |
| Format: | Article |
| Language: | Russian |
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Видавничий дім «Академперіодика»
2012
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| Online Access: | http://rpra-journal.org.ua/index.php/ra/article/view/466 |
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| Journal Title: | Radio physics and radio astronomy |
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Radio physics and radio astronomy| _version_ | 1856543558698270720 |
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| author | Legenkiy, M. M. |
| author_facet | Legenkiy, M. M. |
| author_sort | Legenkiy, M. M. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2012-11-12T01:41:57Z |
| description | A new method based on the integral equation approach is proposed for mode basis construction for a circular dielectric waveguide in free space. The expressions for mode and norm functions are obtained in closed form. The rapid convergence of the expansion of frequency domain mode over obtained basis is shown. The field change in time and longitudinal coordinate is described by the system of integro-differential evolutionary equations for coefficients of the field expansion over basis. It is shown that the system of integro-differential equations can be reduced to the system of matrix differential equations by the method of moments. Solution of this system for a harmonic wave gives dispersion curves for a circular dielectric waveguide. The validity of the method proposed is confirmed by the coincidence of the dispersion curves obtained by the given approach with the known solutions in the frequency domain. |
| first_indexed | 2025-12-02T15:50:09Z |
| format | Article |
| id | rpra-journalorgua-article-466 |
| institution | Radio physics and radio astronomy |
| language | Russian |
| last_indexed | 2025-12-02T15:50:09Z |
| publishDate | 2012 |
| publisher | Видавничий дім «Академперіодика» |
| record_format | ojs |
| spelling | rpra-journalorgua-article-4662012-11-12T01:41:57Z Mode Basis Construction for Circular Dielectric Waveguide by Integral Equation Approach Построение модового базиса для круглого диэлектрического волновода методом интегральных уравнений Legenkiy, M. M. A new method based on the integral equation approach is proposed for mode basis construction for a circular dielectric waveguide in free space. The expressions for mode and norm functions are obtained in closed form. The rapid convergence of the expansion of frequency domain mode over obtained basis is shown. The field change in time and longitudinal coordinate is described by the system of integro-differential evolutionary equations for coefficients of the field expansion over basis. It is shown that the system of integro-differential equations can be reduced to the system of matrix differential equations by the method of moments. Solution of this system for a harmonic wave gives dispersion curves for a circular dielectric waveguide. The validity of the method proposed is confirmed by the coincidence of the dispersion curves obtained by the given approach with the known solutions in the frequency domain. Предложен новый способ построения модового базиса для круглого диэлектрического волновода в свободном пространстве, основанный на методе интегральных уравнений. Аналитически рассчитаны выражения для модовых и нормировочных функций. Продемонстрирована быстрая сходимость разложения моды частотной области по полученному базису. Изменение поля во времени и вдоль продольной оси описывается системой интегро-дифференциальных эволюционных уравнений для коэффициентов разложения поля. Показана возможность сведения системы интегро-дифференциальных эволюционных уравнений к системе матричных дифференциальных уравнений с помощью метода моментов. Решение этой системы для гармонической волны дает дисперсионные кривые круглого диэлектрического волновода. Правильность предлагаемого метода подтверждается совпадением дисперсионных кривых, полученных с его помощью, с известными решениями в частотной области. Видавничий дім «Академперіодика» 2012-11-12 Article Article application/pdf http://rpra-journal.org.ua/index.php/ra/article/view/466 РАДИОФИЗИКА И РАДИОАСТРОНОМИЯ; Vol 15, No 4 (2010); 442 RADIO PHYSICS AND RADIO ASTRONOMY; Vol 15, No 4 (2010); 442 РАДІОФІЗИКА І РАДІОАСТРОНОМІЯ; Vol 15, No 4 (2010); 442 2415-7007 1027-9636 ru http://rpra-journal.org.ua/index.php/ra/article/view/466/31 |
| spellingShingle | Legenkiy, M. M. Mode Basis Construction for Circular Dielectric Waveguide by Integral Equation Approach |
| title | Mode Basis Construction for Circular Dielectric Waveguide by Integral Equation Approach |
| title_alt | Построение модового базиса для круглого диэлектрического волновода методом интегральных уравнений |
| title_full | Mode Basis Construction for Circular Dielectric Waveguide by Integral Equation Approach |
| title_fullStr | Mode Basis Construction for Circular Dielectric Waveguide by Integral Equation Approach |
| title_full_unstemmed | Mode Basis Construction for Circular Dielectric Waveguide by Integral Equation Approach |
| title_short | Mode Basis Construction for Circular Dielectric Waveguide by Integral Equation Approach |
| title_sort | mode basis construction for circular dielectric waveguide by integral equation approach |
| url | http://rpra-journal.org.ua/index.php/ra/article/view/466 |
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