Modeling the materials with the desired refractive index based on the asymptotic solution of scattering problem

Fìz.-mat. model. ìnf. tehnol. 2020, 30:8-18

Authors

  • Mykhaylo Andriychuk Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine

DOI:

https://doi.org/10.15407/fmmit2020.30.008

Keywords:

inclusion of small radius, homogeneous material, acoustic diffraction, asymptotic solution, refractive index, numerical simulation

Abstract

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
  1. 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
  2. Ogier, R., Fang, Y. M., Svedendahl, M. (2015). Near-complete photon spins electivity in a metasurface of anisotropic plasmonic antennas. Phys. Rev., 10(5).
  3. Pendry, J. B., Schurig, D., Smith, D. R. (2006). Controlling electromagnetic fields. (em)Science, 312, 1780–2.
  4. 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
  5. 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
  6. 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
  7. 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
  8. Ramm, A. G. (2007). Many body wave scattering by small bodies and applications. Journal of Mathematical Physics, 48(10), 1035-1–1035-6.
  9. Ramm, A. G. (2009). A Collocation method for solving integral equations. Intern. Journ. of Comput. Sci. and Mathem., 3(2), 122–128.
  10. 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

Published

2020-09-20

How to Cite

Andriychuk, M. (2020). Modeling the materials with the desired refractive index based on the asymptotic solution of scattering problem: Fìz.-mat. model. ìnf. tehnol. 2020, 30:8-18. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (30), 8–18. https://doi.org/10.15407/fmmit2020.30.008