The equivalent medium theory within the linear response region

Details The equivalent medium theory within the linear response region The equivalent medium theory within the linear response region

2008-01-29

arxiv.org/abs/0801.4409v1

Physics

Optics

11pages, 2 figures

Scientific paper

In this paper, we present the equivalent medium theory by using the linear response theory. It is found that, under the condition of the linear response, a series of different media with different refractive indices $n_{i}(\omega)$ and lengths $d_{i}$ can be equivalent to an effective medium with the volume-averaged refractive index $\frac{1}{D}\sum_{i=1}^{N}n_{i}(\omega)d_{i}$ and the total length $D=\sum_{i=1i}^{N}d_{i}$,where $N$ is the number of different media. Based on this equivalent theory, it is a simple but very useful method to design the effective medium with any desirable dispersion properties. As an example, we present a proposal to obtain the enhancement or reduction of the refractive index without absorption and the large dispersion without obvious absorption by assembling different linear dispersive gain and absorptive media.

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