Abstract
We propose to use the blind deconvolution and its modification to extract the point spread function (PSF) of layered metamaterials from a SNOM measurement. The measurement results are processed using the blind deconvolution algorithm to reconstruct the real-valued non-coherent PSF, or using the modified blind deconvolution introduced in this paper to reconstruct the complex-valued coherent PSF. The two algorithms are tested in simulations with a layered metamaterial deposited on a thin metallic mask with test apertures. We show that the modified algorithm is capable of recovering the approximate shape of complex PSF with a sub-wavelength full width at half maximum from a measurement in which the apertures are larger than the wavelength.
Highlights
Layered metamaterials consisting of metallic and dielectric layers (MDM) sandwiched in a periodic way find applications in imaging with sub-wavelength resolution (Fang et al 2005), far-field imaging of sub-wavelength objects (Jacob et al 2006), cloaking (Paul et al 2012), or design of novel absorbers (Guclu et al 2012; Pastuszczak et al 2014)
Thanks to the use of the algorithm we propose, the apertures can be significantly larger than the size of point spread function (PSF)
The last result is based on finite difference time domain (FDTD) simulations presented in Fig. 3, where we have determined the size of the PSF corresponding to the transmission of light through the mask
Summary
Layered metamaterials consisting of metallic and dielectric layers (MDM) sandwiched in a periodic way find applications in imaging with sub-wavelength resolution (Fang et al 2005), far-field imaging of sub-wavelength objects (Jacob et al 2006), cloaking (Paul et al 2012), or design of novel absorbers (Guclu et al 2012; Pastuszczak et al 2014). They can be designed to achieve such properties as an extreme anisotropy (Wood et al 2006), effectivezero permittivity (Castaldi et al 2012), or hyperbolic dispersion (Ni et al 2011; Simovski et al 2013), negative refraction (Scalora et al 2007), superprism or supercollimation effects
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