^{1}

^{2}

^{*}

We mainly investigated the effect of metallic wire grid on its optical property. At first, we give one simple model to deduce an expression which can describe the relationship of the optical property with the width of metallic wire grid. This expression could be used to calculate the reflectance of the metallic wire grid. We also give the corresponding computer simulation. Our simulation shows that the reflectance would increase when the width of metallic wire grid increase. The wider the metallic wire grid is, the higher the reflectance is. The reflectance would reach the maximum value only when the width is over the free path of electronic.

The metallic wire grid has also been applied to a broad range of optical systems, such as WGPs, transparent metal electrodes for organic solar cells and organic light-emitting diodes. Now, many papers were focused on the investigation of the polarized property of metallic wire grid [

The optical property of the metal strongly depends on the free path of the free electronic. In this paper, one simple model is given to investigate the effect of width of metallic wire grid on both the mean free path and the corresponding conductivity. Further, we also gave one relationship between the width of metallic wire grid and the reflectivity. Finally, we give the theoretical simulation and discussions.

The structure model of one metallic wire grid is given in

In order to study the effect of width on the electronic mean free path, we present one ball with the diameter of mean free path, in which the electronic can freely move

For the mean free path λ of electron in material, the volume of free path ball is that

Here, λ is the mean free path in metallic media. For the model mentioned above, the volume of free path in metallic wire grid is, respectively,

Here, d is the width of wire grid. In order to the study the effect degree of the width of metallic wire grid on the mean free path, we define γ as one corrected factor. Thus, we have

The substitution of (3) into (2) produces one expression to calculate the mean free path in wire grid, which is

Here,

Putting

here

For the metal (Ag) wire grid, the parameters

Seeing from

According to Maxwell’s equation, the relationship of refractive index with the conductivity is

Here

here

Equation (7) can clearly describe the relationship between the reflectance and with the width of metallic wire grid. It could be used to calculate the reflectance of wire grid. For example, When the light wavelength is equal to 632 nm and 532 nm, respectively, the corresponding relative dielectric constant of metal (Ag)

Seeing from

71.5% at

This paper studied the influence of metal wire grid width on electron mean free path. The simple physical mode of electron mean free path affected by grid width is given. We give one corrected expression to calculate the conductivity of metallic wire grid. The theoretical simulation shows that the conductivity increases as the width of metallic wire grid increases. Further, we also investigated the relationship between the width of metal wire grid and the reflectance, and gave one corrected expression. Our simulation demonstrates that the reflectance increases as the width of metallic wire grid increases, which is very valuable to investigate the optical property of wire grid.

Wu, Y.L. and Feng, S.M. (2016) The Effect of Nanometer Size Effect on the Optical Property of Metallic Wire Grid. Optics and Photonics Journal, 6, 269-274. http://dx.doi.org/10.4236/opj.2016.610027