Моделювання матеріалів із бажаним коефіцієнтом рефракції на основі асимптотичного розв’язку задачі розсіювання: Fìz.-mat. model. ìnf. tehnol. 2020, 30:8-18

• Date: 2020
• Main Author: Andriychuk, Mykhaylo
• Format: Article
• Language: Ukrainian
• Published: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2020
• Subjects: включення малого радіусу; неоднорідний матеріал; акустичне розсіювання; асимптотичний розв’язок; коефіцієнт рефракції; числове моделювання
• Online Access: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/139
• Journal Title: Physico-mathematical modeling and informational technologies

The explicit solution to the diffraction problem on a set of small particles, supplemented into homogeneous material, is used for modeling the materials with the desired refractive index. The closed form solution is reduced for the scattering problem. This allows to obtain an explicit formula for the refractive index of the resulting inhomogeneous material. The numerical calculations show the possibility to get the specific values of refractive index. References Veselago, V. G. (1967). The electrodynamics of substances with simultaneously negative values of ε and μ. Sov. Phys. Usp., 10(4), 509–514.DOI https://doi.org/10.1070/pu1968v010n04abeh003699 Ogier, R., Fang, Y. M., Svedendahl, M. (2015). Near-complete photon spins electivity in a metasurface of anisotropic plasmonic antennas. Phys. Rev., 10(5). Pendry, J. B., Schurig, D., Smith, D. R. (2006). Controlling electromagnetic fields. (em)Science, 312, 1780–2. Yang, Y., Da Costa, R. C., Fuchter, M. J., Campbell, A. J. (2013). Circularly polarized light detection by a chiral organic semiconductor transistor. Nat. Photon., 7, 634–8.DOI https://doi.org/10.1038/nphoton.2013.176 Chalabi, H., Schoen, D, Brongersma, M. L. (2014). Hot-electron photodetection with a plasmonic nanostripe antenna. Nano Lett., 14, 1374–80.DOI https://doi.org/10.1021/nl4044373 Ramm, A. G. (2008). Wave scattering by many small particles embedded in a medium. Physics Letters A, 372, 3064-3070.DOI https://doi.org/10.1016/j.physleta.2008.01.006 Ramm, A. G. (2013). Electromagnetic wave scattering by small impedance particles of an arbitrary shape. J. of Appl. Math. and Comput. (JAMC), 43(1), 427–444.DOI https://doi.org/10.1007/s12190-013-0671-3 Ramm, A. G. (2007). Many body wave scattering by small bodies and applications. Journal of Mathematical Physics, 48(10), 1035-1–1035-6. Ramm, A. G. (2009). A Collocation method for solving integral equations. Intern. Journ. of Comput. Sci. and Mathem., 3(2), 122–128. Andriychuk, M. I., Ramm, A. G. (2010). Scattering by many small particles and creating materials with a desired refraction coefficient. Intern. Journ. of Computing Science and Mathematics, 3, 102–121.DOI https://doi.org/10.1007/s12190-013-0671-3