Dipole Response of a Dielectric Sphere

  • A. V. Rybina
  • Zh. O. Dombrovskaya
  • A. N. Bogolyubov


Most of the effects of metamaterial physics are associated with a resonance response, particularly electric and magnetic dipole resonances. For dielectric meta atoms with high refractive indices of 3 to 10, formulas are derived that describe the positions of the first dipole resonances, the characteristic size of particles, and their refractive index. A criterion for the validity of a dipole approximation for replacing a dielectric sphere with a pair of dipoles is constructed for the first time.



  1. 1.
    Evlyukhin, A.B., Reinhardt, C., Seidel, A., et al., Phys. Rev. B, 2010, vol. 82, no. 4, p. 045404.ADSCrossRefGoogle Scholar
  2. 2.
    Holloway, C.L., Mohamed, M.A., Kuester, E.F., et al., IEEE Trans. Electromagn. Compat., 2005, vol. 47, p. 853.CrossRefGoogle Scholar
  3. 3.
    Dombrovskaya, Zh.O. and Zhuravlev, A.V., Appl. Phys. A, 2017, vol. 123, p. 27.ADSCrossRefGoogle Scholar
  4. 4.
    Kuznetsov, A.I., Miroshnichenko, A.E., Fu, Y.H., et al., Sci. Rep., 2012, vol. 2, p. 492.CrossRefGoogle Scholar
  5. 5.
    Babicheva, V.E., Petrov, M.I., Baryshnikova, K.V., et al., J. Opt. Soc. Am. B, 2017, vol. 34, p. D19.CrossRefGoogle Scholar
  6. 6.
    Belokopytov, G.V. and Zhuravlev, A.V., Fiz. Volnovykh Protsessov Radiotekh. Sist., 2008, vol. 11, p. 41.Google Scholar
  7. 7.
    Belokopytov, G.V., Zhuravlev, A.V., and Terekhov, Yu.E., Phys. Wave Phenom., 2011, vol. 19, no. 4, p. 280.ADSCrossRefGoogle Scholar
  8. 8.
    Terekhov, Yu.E., Electromagnetic response of metafilms, Cand. Sci. (Phys.–Math.) Dissertation, Moscow: Moscow State Univ., 2015.Google Scholar
  9. 9.
    Bohren, C.F. and Huffman, D.R., Absorption and Scattering of Light by Small Particles, New York: Wiley, 1983.Google Scholar
  10. 10.
    Zhuravlev, A.V., Resonant Scattering of Electromagnetic Waves by Spherical Particles, Cand. Sci. (Phys.–Math.) Dissertation, Moscow: Moscow State Univ., 2009.Google Scholar
  11. 11.
    Weiting, F. and Yixun, Y., Infrared Phys., 1990, vol. 30, p. 371.ADSCrossRefGoogle Scholar
  12. 12.
    Baranov, D.G., Zuev, D.A., Lepeshov, S.I., et al., Optica, 2017, vol. 4, p. 814.CrossRefGoogle Scholar

Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  • A. V. Rybina
    • 1
  • Zh. O. Dombrovskaya
    • 1
  • A. N. Bogolyubov
    • 1
  1. 1.Faculty of Physics, Moscow State UniversityMoscowRussia

Personalised recommendations