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

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

doi:10.1109/TMTT.2007.897816

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

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

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11 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	1305-1313
Number of pages	9
Journal	IEEE Transactions on Microwave Theory and Techniques
Volume	55
Issue number	6
DOIs	https://doi.org/10.1109/TMTT.2007.897816
State	Published - Jun 2007

All Science Journal Classification (ASJC) codes

Radiation
Condensed Matter Physics
Electrical and Electronic Engineering

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10.1109/TMTT.2007.897816

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title = "Analysis of electromagnetic response of 3-D dielectric fractals of menger sponge type",

abstract = "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.",

author = "Elena Semouchkina and Yoshinari Miyamoto and Soshu Kirihara and George Semouchkin and Michael Lanagan",

note = "Funding Information: Manuscript received September 30, 2006; revised March 1, 2007. This work was supported by the National Science Foundation under Award DMI-0339535. E. Semouchkina, G. Semouchkin, and M. Lanagan are with the Materials Research Institute, The Pennsylvania State University, University Park, PA 16802 USA (e-mail: eas203@psu.edu; gbs3@psu.edu; mxl46@psu.edu). Y. Miyamoto and S. Kirihara are with the Joining and Welding Research Institute, Osaka University, Osaka 567-0047, Japan (e-mail: miyamoto@jwri. osaka-u.ac.jp; kirihara@jwri.osaka-u.ac.jp). Digital Object Identifier 10.1109/TMTT.2007.897816",

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AU - Lanagan, Michael

N1 - Funding Information: Manuscript received September 30, 2006; revised March 1, 2007. This work was supported by the National Science Foundation under Award DMI-0339535. E. Semouchkina, G. Semouchkin, and M. Lanagan are with the Materials Research Institute, The Pennsylvania State University, University Park, PA 16802 USA (e-mail: eas203@psu.edu; gbs3@psu.edu; mxl46@psu.edu). Y. Miyamoto and S. Kirihara are with the Joining and Welding Research Institute, Osaka University, Osaka 567-0047, Japan (e-mail: miyamoto@jwri. osaka-u.ac.jp; kirihara@jwri.osaka-u.ac.jp). Digital Object Identifier 10.1109/TMTT.2007.897816

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N2 - 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.

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

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