The photonic band gap is investigated in network system formed by array of one-dimensional waveguides. The band structures for the periodic networks: chain network in one dimension, honeycomb and square networks in two dimensions and diamond network in three dimensions are studied in details. In the simplest configuration of these periodic networks, no complete band gap exists in any dimensions. By introducing appropriate ‘resonant loops’, Mie resonance-like wave scattering takes place inside the loops and complete photonic band gaps are opened at the anti-resonant frequencies of the loops. This is novel because it means the possibly of making tunable photonic band gaps at desirable frequency ranges by using the network system. In addition to the periodic networks, study of quasi-period...[ Read more ]

The photonic band gap is investigated in network system formed by array of one-dimensional waveguides. The band structures for the periodic networks: chain network in one dimension, honeycomb and square networks in two dimensions and diamond network in three dimensions are studied in details. In the simplest configuration of these periodic networks, no complete band gap exists in any dimensions. By introducing appropriate ‘resonant loops’, Mie resonance-like wave scattering takes place inside the loops and complete photonic band gaps are opened at the anti-resonant frequencies of the loops. This is novel because it means the possibly of making tunable photonic band gaps at desirable frequency ranges by using the network system. In addition to the periodic networks, study of quasi-periodic (QP) networks is also presented in this thesis. It is found that the pentagonal (5-fold) and the 2D dodecagonal (12-fold) QP networks both possess photonic band gaps even in the absence of resonant loops. In particular, the gap found in the dodecagonal QP network is large and robust, independent of the system size. For the 3D quasi-periodic network, we find that the icosaheral network posses even larger PBG that that of the dodecagonal network. On the other hand, large PBGs also exist in triangular and face-centered cubic periodic networks. The existence of large and robust intrinsic photonic band gaps in these networks is found to be depend only on the resonant scattering inside the internal loops of the networks, independent of system size and insensitive to orientational symmetry.