Analysis of electromagnetic response of 3-D dielectric fractals of menger sponge type

Elena Semouchkina, Yoshinari Miyamoto, Soshu Kirihara, George Semouchkin, Michael Lanagan

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


Experimental studies and finite-difference time-do-main simulations of electromagnetic (EM) response of the second-stage Menger sponge dielectric structures have been performed with different types of excitation in order to gain deeper insight into the phenomenon of EM wave localization in these fractals. Analysis of simulated amplitude distributions of electric field oscillations in the Menger sponges has revealed bandgap-like effects caused by resonances in the front part of the structures, as well as formation of the full-wave resonance mode in the central cavity at the localization frequency. It is demonstrated that penetration of the waves inside the structure at the localization frequency leads to equalizing of the EM response from different parts of the 3-D fractal, however, no high-Q eigenmode is formed in the second-stage Menger sponge. Simulations of the modified fractal structures have been used to show the potential of formation of a bandgap with defect-related localized photon states by 3-D fractals.

Original languageEnglish (US)
Pages (from-to)1305-1313
Number of pages9
JournalIEEE Transactions on Microwave Theory and Techniques
Issue number6
StatePublished - Jun 2007

All Science Journal Classification (ASJC) codes

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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