Resonant Scattering Characteristics of Homogeneous Dielectric Sphere

Dimitrios Tzarouchis*, Pasi Ylä-Oijala, Ari Sihvola

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

12 Citations (Scopus)


In this paper, the classical problem of electromagnetic scattering by a single homogeneous sphere is revisited. Main focus is the study of the scattering behavior as a function of the material contrast and the size parameters for all electric and magnetic resonances of a dielectric sphere. Specifically, the Padé approximants are introduced and utilized as an alternative system expansion of the Mie coefficients. Low order Padé approximants can give compact and physically insightful expressions for the scattering system and the enabled dynamic mechanisms. Higher order approximants are used for predicting accurately the resonant pole spectrum. These results are summarized into general pole formulae, covering up to fifth order magnetic and forth order electric resonances of a small dielectric sphere. Additionally, the connection between the radiative damping process and the resonant linewidth is investigated. The results obtained reveal the fundamental connection of the radiative damping mechanism with the maximum width occurring for each resonance. Finally, the suggested system ansatz is used for studying the resonant absorption maximum through a circuit-inspired perspective.
Original languageEnglish
Article number7891061
Pages (from-to)3184-3191
Number of pages8
JournalIEEE Transactions on Antennas and Propagation
Issue number6
Early online date2017
Publication statusPublished - 2017
MoE publication typeA1 Journal article-refereed


  • Light scattering
  • Lorenz-Mie theory
  • Mie coefficients
  • Padé approximants
  • Radiative damping

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