We have studied the electromagnetic wave localization properties of one-dimensional and two-dimensional random networks made of segments of single-channel waveguide joined in a random array by using coaxial transmission lines. We have studied theoretically the photonic band gap in the periodic network, the localized wavefunctions in defect and random systems in both one and two dimensions. For all these cases, our theoretical results agree excellently with the experimental data. This work establishes a solid foundation for the observation of localized states and wavefunctions in three-dimensional systems, which has never been observed. Since the network system considered here can be mapped into Anderson tight-binding Hamiltonian, we thus suggest that this random network of transmission...[ Read more ]

We have studied the electromagnetic wave localization properties of one-dimensional and two-dimensional random networks made of segments of single-channel waveguide joined in a random array by using coaxial transmission lines. We have studied theoretically the photonic band gap in the periodic network, the localized wavefunctions in defect and random systems in both one and two dimensions. For all these cases, our theoretical results agree excellently with the experimental data. This work establishes a solid foundation for the observation of localized states and wavefunctions in three-dimensional systems, which has never been observed. Since the network system considered here can be mapped into Anderson tight-binding Hamiltonian, we thus suggest that this random network of transmission lines can be used to study the Anderson localization with easy control of disorder and randomness.