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Transmission Properties of Electromagnetic Wave in PreCantor Bar: Scaling and DoubleExponetiality
Ryota SATO Keimei KAINO Jun SONODA
Publication
IEICE TRANSACTIONS on Electronics
Vol.E99C
No.7
pp.801804 Publication Date: 2016/07/01
Online ISSN: 17451353
DOI: 10.1587/transele.E99.C.801
Type of Manuscript: BRIEF PAPER Category: Keyword: electromagnetic wave, preCantor bar, resonance, transmissionline theory, scaling, staircase distribution,
Full Text: PDF>>
Summary:
PreCantor bar, the onedimensional fractal media, consists of two kinds of materials. Using the transmissionline theory we will explain the doubleexponential behavior of the minimum of the transmittance as a function of the stage number n, and obtain formulae of two kinds of scaling behaviors of the transmittance. From numerical calculations for n=1 to 5 we will find that the maximum of field amplitudes of resonance which increases doubleexponentially with n is well estimated by the theoretical upper bound. We will show that after sorting field amplitudes for resonance frequencies of the 5th stage their distribution is a staircase function of the index.

