However, percentage bandwidths of newly emerging matched bands don't diminish with iterative probably because [A.sub.i] of KSSG decreases with [K.sub.i] but infinitely approaches to a constant.
10, we can see [K.sub.4][S.sub.1] KSSG shows marked multifractal reflection coefficient.
According to the analysis above, we can conclude that the [K.sub.i][S.sub.j] Koch-like sided Sierpinski Gasket dipole (KSSG) is a fire-new multifractal antenna and it doesn't operate as a half wavelength or a full wavelength dipole at resonant frequencies [f.sub.nj] (n = [f.sub.n]; i- [K.sub.i]) of its each iterative [K.sub.i] [S.sub.1] besides [f.sub.1i](i-[K.sub.i][S.sub.1]).
We have fabricated KSSG dipole on Sierpinski Gasket with Kochlike curve, so it's necessary to formulate the ratio of adjacent resonant frequencies of each iterative of Sierpinski Gasket counterpart.
10, so we can infer that [K.sub.i][S.sub.j] KSSG multifractal dipole should has nij = (i + 1) + (j + 1), i = 1, 2 ...
Heretofore, we can conclude that proportional coefficient [delta] of contiguous resonant frequencies of the KSSG multifractal dipole is very approximate to fractal scale factor [delta] = [x.sup.-1] = 2[alpha]/[[alpha].sup.-1] of Koch-like fractal in high frequency band rather than its fractal dimensions [D.sub.s] = 1 + log[sigma]/log[[chi].sup.-1] [approximately equal to] 1.2382 and physical scale ratio [sigma].
[K.sub.4][S.sub.1] KSSG MULTIFRACTAL DIPOLE ANTENNA
[K.sub.i][S.sub.1] KSSG dipole manifests remarkable multifractal impedance property, significant size reduction and enhanced radiation patterns with Koch-like fractal's iterative i growing, as shown in Fig.
We model the monofractal dipoles identically with the proposed [K.sub.4][S.sub.1] KSSG multifractal dipole, as shown in Fig.
Distinctly, [K.sub.i][S.sub.j] KSSG multifractal dipole has more uniform and consistent impedance property and further size reduction than its component monofractal counterparts [K.sub.0][S.sub.j] and [K.sub.i][S.sub.0].
Gain patterns of [K.sub.i][S.sub.j] KSSG at [f.sub.1] and [f.sub.2] are omnidirectional in XOZ (Phi = 0[degrees], H-plane) and doughnut-shaped in YOZ (Phi = 90[degrees], E-plane) and XOY (Theta = 90[degrees]), as depicted in Figs.
The [K.sub.4][S.sub.1] KSSG doesn't degrade in performance like bandwidth, gain and efficiency as the conclusions drawn for Koch monopole in .