Abstract
We present an in-depth and systematical investigation on the plasmon Talbot effect of finite-sized two-dimensional (2D) periodic metallic nanoaperture arrays. The nanoaperture shapes, fill factor, lattice distribution, array size, film thickness, material property and polarization state of the incident light are considered, and the inherent influencing rules are summarized via the three-dimensional (3D) finite-difference time-domain (FDTD) numerical simulations. The nanoaperture shapes, fill factor or array size seems to express a tiny influence on Talbot effect, which shows a good agreement with our previously reported experimental results. Besides, square lattice brings out a much more uniform Talbot pattern than the triangular distribution, and the smaller array period should be taken to estimate the Talbot distance when it comes to a rectangular distribution. Furthermore, the thickness of Au film is suggested to within the range of 50~100 nm, which gives a broadest Talbot contour. It is also found out that the elliptical shape of hotspots is closely related to the linearly polarization state of the light source, showing an asymmetric electromagnetic field. The research contributes to a better understanding of the optical transmission features through periodic metallic nanoaperture arrays, which provides opportunities for the potential applications such as nanofabrication, optoelectronics, and imaging.
Highlights
Talbot effect, a famous phenomenon existing in the classical optics first discovered by H
In order to thoroughly study for a better understanding of the influences of structural parameters on the Talbot effect and the other possible factors that may function on the Talbot effect, the rigorous three-dimensional (3D) finite-difference time-domain (FDTD) numerical simulation method is employed in this research, and the nanoaperture shapes, fill factor, lattice distribution, array size, film thickness, material property and polarization state of the incident light are all investigated
When the array period is between λe and 2λe, where λe denotes the effective working wavelength calculated by λ/n (n being the refractive index of the medium), the paraxial approximation is satisfied, and the theoretical Talbot distance τ can be estimated by ref. 28 τ=
Summary
Talbot effect of finite-sized periodic arrays of metallic nanoapertures received: 13 December 2016 accepted: 28 February 2017. The same viewpoint was verified in our recent report[25], and the influences of structural parameters, including the fill factor, array size, lattice distribution, and nanoaperture shapes on the focusing and Talbot effects of the finite-sized 2D periodic metallic nanoaperture arrays were experimentally investigated[26], from which we know that a larger array size shows no obvious influence on the average size of hotspots in the Talbot carpets, and the different nanoaperture shapes exhibit no big difference in the Talbot fields. In order to thoroughly study for a better understanding of the influences of structural parameters on the Talbot effect and the other possible factors that may function on the Talbot effect, the rigorous three-dimensional (3D) finite-difference time-domain (FDTD) numerical simulation method is employed in this research, and the nanoaperture shapes, fill factor, lattice distribution, array size, film thickness, material property and polarization state of the incident light are all investigated. This research will provide an important technological reference for designing the finite-sized 2D periodic arrays of planar metallic nanostructures for such applications as nanolithography and high-resolution microscopy imaging
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