Ya.I. Chizhevskaya − Student, 

Moscow Institute of Physics and Technology (State University)

E-mail: yana.chizhevskaya@phystech.edu

S.P. Skobelev − Dr.Sc. (Phys.-Math.), Leading Research Scientist, 

PJSC «Radiofizika»; 

Associate Professor, 

Moscow Institute of Physics and Technology (State University) E-mail: s.p.skobelev@mail.ru

The problem of plane electromagnetic wave scattering by a spherical absorber of black hole type with radial profile of dielectric permittivity and magnetic permability in the shell chosen in the form ε μ( )r = ( )r ~1/ r2 and with constant permittivity and permeability in the central region is considered. The problen in rigorous formulation is solved both analytically for a basic model of the absorber and numerically using the one-dimensional method of finite elements for a modified model. Absorption efficiency and radar crosssection are presented for the black holes with positive and negative refractive indexes, and comparison of them is carried out for a number of values of the absorber’s parameters.

1. Narimanov E.E., Kildishev A.V. Optical black hole: Broadband omnidirectional light absorber. Applied Physics Letters. 2009.  V. 95. P. 041106.
2. Cheng Q., Cui T.J., Jiang W.X., Cai B.G. An omnidirectional electromagnetic absorber made of metamaterials. New Journal of Physics. 2010. V. 12. P. 063006.
3. Kildishev A.V., Prokopeva L.J., Narimanov E.E. Cylinder light concentrator and absorber: theoretical description. Optics Express. 2010. V. 18. №16. P. 16646-16662.
4. Lu W., Jin J.-F., Lin Z., Chen H. A simple design of an artificial electromagnetic black hole. Journal of Applied Physics. 2010. V. 108.  P. 064517.
5. Wang H.-W., Chen L.-W. A cylindrical optical black hole using graded index photonic crystals. Journalof Applied Physics. 2011. V. 109. P. 103104.
6. CHizhevskaya YA.I., Smol'nikova O.N., Skobelev S.P. Sravnitel'nyj elektrodinamicheskij analiz i optimizaciya radial'no-neodnorodnyh cilindricheskih pogloshchayushchih elementov. Radiotekhnika. 2018. № 4. S. 23-32 (In Russian).
7. Li S., Li L., Lin Z., Chen H.Y., Zi J. Chan C.T. Graded index photonic hole: Analytical and rigorous full wave solution. Physical Review B. 2010. № 82. P. 054204.
8. Maslovski S.I., Simovski C.R., Tretyakov S.A. Overcoming black body radiation limit in free space: metamaterial superemitter. New Journal of Physics. 2016. V. 18. P. 013034.
9. Gabdullina A.R., Smol'nikova O.N., Skobelev S.P. Modifikaciya gibridnogo proekcionnogo metoda dlya analiza elektromagnitnogo rasseyaniya na radial'no neodnorodnoj dielektricheskoj sfere. Radiotekhnika. 2016. № 10. S. 70-79 (In Russian).