Numerical modeling of a influence of a nanoparticle pair on the electromagnetic field in the near zone by the vector finite elements method
Here we propose a mathematical model based on a vector finite-element method for modeling the distribution of the electromagnetic field in the near zone of spherical particles. This model has allowed us to develop algorithms for the appropriate software. The verification of the model shows that the...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Samara National Research University
2018-08-01
|
| Series: | Компьютерная оптика |
| Subjects: | |
| Online Access: | http://computeroptics.smr.ru/KO/PDF/KO42-4/420403.pdf |
| _version_ | 1811344423495139328 |
|---|---|
| author | Kanstantsin Kurachka |
| author_facet | Kanstantsin Kurachka |
| author_sort | Kanstantsin Kurachka |
| collection | DOAJ |
| description | Here we propose a mathematical model based on a vector finite-element method for modeling the distribution of the electromagnetic field in the near zone of spherical particles. This model has allowed us to develop algorithms for the appropriate software. The verification of the model shows that the discrepancy between the research results of the proposed model and the available calculation results based on analytical formulas derived from the Mie theory for homogeneous spherical nanoparticles does not exceed 10 percent.
Calculations were carried out to determine the relative positions of a pair of metal nanoparticles at which the intensity of the electromagnetic field reaches the maximum value in the near zone. The advantage of the proposed mathematical model and approach consists in the use of tetrahedrons as finite-elements. The tetrahedron finite-elements allow one to approximate the heterogeneous structure of the nanomaterial with the accuracy sufficient for the practical use. Furthermore, in this way the continuity of the tangential component of the electromagnetic field in the entire calculation region can be achieved. |
| first_indexed | 2024-04-13T19:48:09Z |
| format | Article |
| id | doaj.art-532c15be123245538adc1dc69293510d |
| institution | Directory Open Access Journal |
| issn | 0134-2452 2412-6179 |
| language | English |
| last_indexed | 2024-04-13T19:48:09Z |
| publishDate | 2018-08-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Компьютерная оптика |
| spelling | doaj.art-532c15be123245538adc1dc69293510d2022-12-22T02:32:40ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792018-08-0142454254910.18287/2412-6179-2018-42-4-542-549Numerical modeling of a influence of a nanoparticle pair on the electromagnetic field in the near zone by the vector finite elements methodKanstantsin Kurachka0Sukhoi State Technical University of Gomel, Gomel, Republic of BelarusHere we propose a mathematical model based on a vector finite-element method for modeling the distribution of the electromagnetic field in the near zone of spherical particles. This model has allowed us to develop algorithms for the appropriate software. The verification of the model shows that the discrepancy between the research results of the proposed model and the available calculation results based on analytical formulas derived from the Mie theory for homogeneous spherical nanoparticles does not exceed 10 percent. Calculations were carried out to determine the relative positions of a pair of metal nanoparticles at which the intensity of the electromagnetic field reaches the maximum value in the near zone. The advantage of the proposed mathematical model and approach consists in the use of tetrahedrons as finite-elements. The tetrahedron finite-elements allow one to approximate the heterogeneous structure of the nanomaterial with the accuracy sufficient for the practical use. Furthermore, in this way the continuity of the tangential component of the electromagnetic field in the entire calculation region can be achieved.http://computeroptics.smr.ru/KO/PDF/KO42-4/420403.pdfmathematical modelingnumerical approximation and analysislight scattering by particleselectromagnetic fieldvector finite element method |
| spellingShingle | Kanstantsin Kurachka Numerical modeling of a influence of a nanoparticle pair on the electromagnetic field in the near zone by the vector finite elements method Компьютерная оптика mathematical modeling numerical approximation and analysis light scattering by particles electromagnetic field vector finite element method |
| title | Numerical modeling of a influence of a nanoparticle pair on the electromagnetic field in the near zone by the vector finite elements method |
| title_full | Numerical modeling of a influence of a nanoparticle pair on the electromagnetic field in the near zone by the vector finite elements method |
| title_fullStr | Numerical modeling of a influence of a nanoparticle pair on the electromagnetic field in the near zone by the vector finite elements method |
| title_full_unstemmed | Numerical modeling of a influence of a nanoparticle pair on the electromagnetic field in the near zone by the vector finite elements method |
| title_short | Numerical modeling of a influence of a nanoparticle pair on the electromagnetic field in the near zone by the vector finite elements method |
| title_sort | numerical modeling of a influence of a nanoparticle pair on the electromagnetic field in the near zone by the vector finite elements method |
| topic | mathematical modeling numerical approximation and analysis light scattering by particles electromagnetic field vector finite element method |
| url | http://computeroptics.smr.ru/KO/PDF/KO42-4/420403.pdf |
| work_keys_str_mv | AT kanstantsinkurachka numericalmodelingofainfluenceofananoparticlepairontheelectromagneticfieldinthenearzonebythevectorfiniteelementsmethod |