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.
| DOI | 10.11648/j.optics.20120101.11 |
| Published in | Optics (Volume 1, Issue 1, December 2012) |
| Page(s) | 1-10 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Superresolution, Gradient-Index Lens, Secant Lens, Near-Field Lenses
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APA Style
V. V. Kotlyar, A. A. Kovalev, A. G. Nalimov. (2012). Planar Gradient Hyperbolic Secant Lens for Subwavelength Focusing and Superresolution Imaging. Optics, 1(1), 1-10. https://doi.org/10.11648/j.optics.20120101.11
ACS Style
V. V. Kotlyar; A. A. Kovalev; A. G. Nalimov. Planar Gradient Hyperbolic Secant Lens for Subwavelength Focusing and Superresolution Imaging. Optics. 2012, 1(1), 1-10. doi: 10.11648/j.optics.20120101.11
AMA Style
V. V. Kotlyar, A. A. Kovalev, A. G. Nalimov. Planar Gradient Hyperbolic Secant Lens for Subwavelength Focusing and Superresolution Imaging. Optics. 2012;1(1):1-10. doi: 10.11648/j.optics.20120101.11
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Download@article{10.11648/j.optics.20120101.11,
author = {V. V. Kotlyar and A. A. Kovalev and A. G. Nalimov},
title = {Planar Gradient Hyperbolic Secant Lens for Subwavelength Focusing and Superresolution Imaging},
journal = {Optics},
volume = {1},
number = {1},
pages = {1-10},
doi = {10.11648/j.optics.20120101.11},
url = {https://doi.org/10.11648/j.optics.20120101.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.optics.20120101.11},
abstract = {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.},
year = {2012}
}
TY - JOUR T1 - Planar Gradient Hyperbolic Secant Lens for Subwavelength Focusing and Superresolution Imaging AU - V. V. Kotlyar AU - A. A. Kovalev AU - A. G. Nalimov Y1 - 2012/12/30 PY - 2012 N1 - https://doi.org/10.11648/j.optics.20120101.11 DO - 10.11648/j.optics.20120101.11 T2 - Optics JF - Optics JO - Optics SP - 1 EP - 10 PB - Science Publishing Group SN - 2328-7810 UR - https://doi.org/10.11648/j.optics.20120101.11 AB - 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. VL - 1 IS - 1 ER -
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