Mechanism of superresolution in a planar hyperbolic secant lens
V.V. Kotlyar, A.A. Kovalev, A.G. Nalimov, Y.R. Triandafilov

Image Processing Systems Institute, Russian Academy of Sciences,

Samara State Aerospace University

Full text of article: Russian language.

Abstract:
Integral representation for a TE-wave from a point source in 2D medium, located outside of this medium, was obtained (border of a medium division – straight line). Similar representation for a light field inside and outside of flat-parallel film was obtained too. Three types of waves noticed, which give contributions in a light field: propagating waves, surface weaves of first and second types. Comparison of a numerical aperture of a refraction near field lenses (SIL, NAIL) and a planar hyperbolic secant lens conducted. It is shown, that this lens are close each other and distinguish in a 5%. It is shown by modeling in a FullWAVE program, that adding a subwave diffractive grating to a secant hyperbolic gradient lens, or replacing this lens on a binary analog helps to overcome a diffractive limit in the given medium with smaller width of the focus spot on a 10% and 20%.

Key words:
superresolution, gradient lens, secant lens, near field lens.

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