Wave Propagation And Slow Light In Waveguide With Left-handed Material

Left-handed material is a synthetic medium with simultaneously negative permittivity and negative magnetic permeability. As the electric field, magnetic field and wave vector of the three meet the left-handed criterion, it is named left-handed (LHM). For the refractive index of LHM, it is also called the negative refractive index material.Slow light technology is a key technology to achieve all-optical networks, playing an important role in network nodes, such as optical signal cache, storage, routing and processing. Under regular circumstances, the ’slow light’ can be achieved by changing the material dispersion and structure dispersion.In this thesis, we analysis the anomalous physical properties of the left-handed material in detail, including Fresnel formula, Goos-Hanchen shift and effective transmission waveguide. To achieve slow wave propagation in waveguide with left-handed material is an novel topics in recent years. Based on the current limit references, we firstly analysis and reviewed the new technology to achieve slow light with left-handed material waveguide, including the mechanism and research progress.Different from the way of usual right-handed material, the waveguide with left-handed material to achieve slow light will be realized under the condition of room temperature and solid media as a new method and medium environment.At the same time, we constructure innovatively a cylindrical waveguide with the left-handed material as the cladding and the right-handed material core. Through the derivation of the expression and characteristics of the electromagnetic field equations and the normalized power expression, the different guided modes are deduced. By setting different material parameters, different guided modes will be get, such as forward mode, afterward mode, even light stopped. The results show that under the condition of weak guiding modes with TE and TM modes, when the ratio of the permeability of the core and cladding μ=33.9079, as μ2=-0.0295, the normalized power flow P=0, so the electromagnetic wave propagation will be stopped. Corresponding to the left-handed material model of Drude, the frequency is f=5.9232GHz.