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Diffractive Optics and Nanophotonics pp 7–20Cite as

3D Diffractive Lenses to Overcome the 3D Abby Diffraction Limit

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Abstract

Radiation cannot be focused on anything smaller than its half of wavelength—or so says more than a century of physics wisdom. In the first part of this chapter the results of the focal fields of a phase correcting Fresnel lens examination are described for several small values of F/, with F ≦ 2λ which allows for overcoming Abbe barrier. It was also shown that the minimum diameter of the focal spot near the central circumferential step of binary diffractive axicon was equal to FWHM = 0.38λ. In the second part of this chapter the innovative radiating structures as a conical FZP lens are proposed for subwavelength focusing. It has been shown that in contrast to the flat diffractive optics the curvilinear 3D diffractive conical optics allows for overcoming 3D Abbe barrier with focal distance F more than F > 2λ.

Keywords

  • Abbe barrier
  • Diffractive lens
  • Superresolution
  • Axicon
  • 3D optics
  • Near field

The erratum to this chapter is available at DOI 10.1007/978-3-319-24253-8_7

An erratum to this chapter can be found at http://dx.doi.org/10.1007/978-3-319-24253-8_7

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Fig. 2.1
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Notes

  1. 1.

    Rigaud [2].

  2. 2.

    In “quasi-optical systems” the diffraction effects are inevitably important because of although radiation is typically propagated and analyzed as free-space beams, unlike traditional optics, in MMW and THz beams may be only a few wavelengths in diameter. See [5].

  3. 3.

    The classical Fresnel zone plate, consisting of a plane array of alternately opaque and transparent concentric circular rings, acts upon a normally incident plane wave, transforming it into a converging wave and concentrating the radiation in a small region about a point on the axis. The zone plate is an image forming device, but the mechanism involved for this simple screen is not refraction at the boundary between different dielectric media, but diffraction at the series of annular apertures and subsequent interference of the diffracted radiation.

  4. 4.

    FDTD simulation of flat FZP was developed in cooperation with N. Gagnon and A. Petosa from Communications Research Centre, Canada.

  5. 5.

    Dr. Rakesh G. Mote has not come across papers [14, 15]. R.G. Mote, private communication, 2015.

  6. 6.

    Novotny [24].

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  1. Tomsk State University, Novosibirsk, Russia

    Igor Minin & Oleg Minin

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Minin, I., Minin, O. (2016). 3D Diffractive Lenses to Overcome the 3D Abby Diffraction Limit. In: Diffractive Optics and Nanophotonics. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-24253-8_2

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