| Double negative material is a kind of material with simultaneously negative permittivity and negative permeability. It is also called left-handed material for the electricfield vector ((E|ˉ)), magnetic field vector ((H|ˉ)) and wave vector ((k|ˉ)) in this material obey aleft-handed rule. Recently, the research on the peculiar properties of the double negative material has been a hot point in the research of metamaterial. In contrast to the double negative material, the material with both positive permittivity and positive permeability is termed as right-handed material, because the electric field vector ((E|ˉ)), magnetic fieldvector ((H|ˉ)) and wave vector ((k|ˉ)) in it form a right-handed triplet. Most of the dielectricsare right-handed materials. Single negative material refers to the material with only one parameter in permittivity and permeability being negative. When the permeability isnegative and the permittivity is positive, the material is named negative-μ material; incontrast, the material is called negative- ε material. These materials have also attracted considerable attention on their special properties.In this thesis, we concentrate on the linear and nonlinear responses presented from the one-dimensional structure composed of double negative material or single negative materials. The thesis is organized as follows,I. The effectively double negative material made of negative permittivity and negative permeability bilayerWith the aid of the EMA method, we investigate the equivalence between double negative material and the bilayer made of single negative materials. To our best knowledge, it is the first time that the analytic expressions of all six parameters of the effective permittivity and permeability are derived, when the condition |klz|dl<<1 is satisfied. Itis found that the bilayer can be effectively seen as a uniaxial material and it can realize negative refraction at the frequency region of [4GHz, 4.714GHz]. We also analyze the...
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