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Planar Gradient Hyperbolic Secant Lens for Subwavelength Focusing and Superresolution Imaging
Volume 1, Issue 1, December 2012, Pages: 1-10
Received: Dec. 3, 2012; Published: Dec. 30, 2012
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V. V. Kotlyar, Laser Measurements Laboratory of the Image Processing Systems Institute of the Russian Academy of Sciences, 151 Molodogvardeiskaya street, Samara, Russia
A. A. Kovalev, Laser Measurements Laboratory of the Image Processing Systems Institute of the Russian Academy of Sciences, 151 Molodogvardeiskaya street, Samara, Russia
A. G. Nalimov, Laser Measurements Laboratory of the Image Processing Systems Institute of the Russian Academy of Sciences, 151 Molodogvardeiskaya street, Samara, Russia
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Integral relations to describe the propagation of a TE-wave from an external point source through the two-dimensional medium (plane interface) and the plane-parallel plate are proposed. We discuss three types of waves that contribute to the resulting light field, namely, the propagating waves and the first- and second-type surface waves. The comparison of near-field refractive lenses (SIL, NAIL) and a planar hyperbolic secant lens shows their numerical apertures to have close values, with the difference being as small as 5% for the Si-based optical elements. The FDTD-method simulation shows that by combining the gradient-index hyperbolic secant lens with a subwavelength diffraction grating or replacing it with its binary analog, the focal spot size can be made, respectively, 10% and 20% smaller than the diffraction-limited resolution in the 2D medium. We design a Si-based, planar binary microlens to generate a near-surface focal spot of full-width half-maximum size FWHM=0.102λ, where λ is the incident wavelength, which is practically devoid of side-lobes. It is shown that about 10 percent of the total incident beam energy goes to the far-field zone.
Superresolution, Gradient-Index Lens, Secant Lens, Near-Field Lenses
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V. V. Kotlyar, A. A. Kovalev, A. G. Nalimov, Planar Gradient Hyperbolic Secant Lens for Subwavelength Focusing and Superresolution Imaging, Optics. Vol. 1, No. 1, 2012, pp. 1-10. doi: 10.11648/j.optics.20120101.11
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