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Abstract
By means of the network equation we investigate the optical transmission spectra and the attenuation behavior of electromagnetic (EM) waves in multiconnected Sierpinski networks with and without dissipation. It is found that there exists the largest photonic band gap (PBG) in the middle of the frequency period and that the width of the largest PBG created by a two-segment-connected network can be controlled by adjusting the matching ratio of waveguide length. The width of the largest PBG created by the optimal 2 : 1 twosegment-connected network exceeds half of the frequency period and is nearly 3 times of that of the one-segment-connected system. The photonic attenuation of the 2 : 1 network is two orders of magnitude larger than that of the one-segment-connected system. The influences of the generation number and connected-segment number on the width of the largest PBG are studied, and the results demonstrate that the 2 : 1 network is one kind of selectable structure for the designing of optical devices with large PBGs and strong attenuations.
