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2008, Journal of Optics A: Pure and Applied Optics
We compare the properties of subwavelength imaging in the visible wavelength range for metal-dielectric multilayers operating in the canalization and the resonant tunnelling regimes. The analysis is based on the transfer matrix method and time domain simulations. We show that Point Spread Functions for the first two resonances in the canalization regime are approximately Gaussian in shape. Material losses suppress transmission for higher resonances, regularise the PSF but do not compromise the resolution. In the resonant tunnelling regime, the MTF may dramatically vary in their phase dependence. Resulting PSF may have a subwavelength thickness as well as may be broad with multiple maxima and a rapid phase modulation. We show that the width of PSF may be reduced by further propagation in free space, and we provide arguments to explain this surprising observation.
Scientific Reports
Physical Review B, 2006
Imaging with subwavelength resolution using a periodic metal-dielectric layered structure is demonstrated. The structure operates in canalization regime as a transmission device and it does not involve negative refraction and amplification of evanescent modes. The thickness of the structure has to be an integer number of half-wavelengths and can be made as large as required for ceratin applications, in contrast to the solid metallic slabs operating with subwavelength resolution which have to be much thinner than the wavelength. Resolution of / 20 at 600 nm wavelength is confirmed by numerical simulation for a 300 nm thick structure formed by a periodic stack of 10 nm layers of glass with = 2 and 5 nm layers of metal-dielectric composite with =−1. Resolution of / 60 is predicted for a structure with same thickness, period and operating frequency, but formed by 7.76 nm layers of silicon with = 15 and 7.24 nm layers of silver with = −14.
Optics Letters, 2010
Imaging with a layered superlens is a spatial filtering operation characterized by the point spread function (PSF). We show that in the same optical system the image of a narrow sub-wavelength Gaussian incident field may be surprisingly dissimilar to the PSF, and the width of PSF is not a straightforward measure of resolution. FWHM or std. dev. of PSF give ambiguous information about the actual resolution, and imaging of objects smaller than the FWHM of PSF is possible. A multiscale analysis of imaging gives good insight into the peculiar scale-dependent properties of sub-wavelength imaging.
2010
Metal-dielectric layered stacks for imaging with sub-wavelength resolution are regarded as linear isoplanatic systems -a concept popular in Fourier Optics and in scalar diffraction theory. In this context, a layered flat lens is a one-dimensional spatial filter characterised by the point spread function. However, depending on the model of the source, the definition of the point spread function for multilayers with sub-wavelength resolution may be formulated in several ways. Here, a distinction is made between a soft source and hard electric or magnetic sources. Each of these definitions leads to a different meaning of perfect imaging. It is shown that some simple interpretations of the PSF, such as the relation of its width to the resolution of the imaging system are ambiguous for the multilayers with sub-wavelenth resolution. These differences must be observed in point spread function engineering of layered systems with sub-wavelength sized PSF.
We examine some of the optical properties of a metamaterial consisting of thin layers of alternating metal and dielectric. We can model this material as a homogeneous effective medium with anisotropic dielectric permittivity. When the components of this permittivity have different signs, the behavior of the system becomes very interesting: the normally evanescent parts of a P-polarized incident field are now transmitted, and there is a preferred direction of propagation. We show that a slab of this material can form an image with subwavelength details, at a position which depends on the frequency of light used. The quality of the image is affected by absorption and by the finite width of the layers; we go beyond the effective-medium approximation to predict how thin the layers need to be in order to obtain subwavelength resolution.
Journal of Applied Physics, 2011
We optimise the effective skin-depth and resolution of Ag-TiO 2 , Ag-SrTiO 3 , and Ag-GaP multilayers for imaging with sub-wavelength resolution. In terms of transmission and resolution the optimised multilayers outperform simple designs based on combined use of effective medium theory, impedance matching and Fabry-Perot resonances. For instance, an optimised Ag-GaP multilayer consisting of only 17 layers, operating at the wavelength of 490 nm and having a total thickness equal to one wavelength, combines 78% intensity transmission with a resolution of 60 nm. It is also shown that use of the effective medium theory leads to sub-optimal multilayer designs with respect to the trade-off between the skin depth and resolution already when the period of the structure is on the order of 40 nm or larger.
Physical Review E, 1999
We show that optical tunnel effects through elongated structures of subwavelength cross sections can be enhanced by the appropriate structuration of the local dielectric function. Even under total internal reflection, transfer channels can be excited to perform spatially confined photonic transfer between transparent media linked by such subwavelength structures. The optical properties of such systems are analyzed using field susceptibilities, also known as electromagnetic Green's dyadics, which determine both the local density of photon states and the optical transmittance of the system. Green's dyadics obtained by solving numerically a set of dyadic Dyson equations are applied to study the optical properties of subwavelength structures connecting two semi-infinite materials. ͓S1063-651X͑99͒12005-1͔
Applied Physics A-materials Science & Processing, 2011
We demonstrate numerically the diffraction-free propagation of sub-wavelength sized optical beams through simple elements built of metal-dielectric multilayers. The proposed metamaterial consists of silver and a high refractive index dielectric, and is designed using the effective medium theory as strongly anisotropic and impedance matched to air. Further it is characterised with the transfer matrix method, and investigated with FDTD. The
Optics Express, 2005
The optical transmission through a subwavelength aperture in a metal film is strongly enhanced when the incident light is resonant with surface plasmons at the corrugated metal surface surrounding the aperture. Conversely, the aperture acts as a novel probe of the surface plasmons, yielding useful insights for optimizing the transmission enhancement. For the optimal corrugation geometry, a set of concentric circular grooves, three times more light is transmitted through the central subwavelength aperture than directly impinges upon it. This effect is useful in the fabrication of near-field optical devices with extremely high optical throughput.
Physical Review B, 2003
We investigate the transmission of evanescent waves through a slab of photonic crystal and explore the recently suggested possibility of focusing light with subwavelength resolution. The amplification of near-field waves is shown to rely on resonant coupling mechanisms to surface photon bound states, and the negative refractive index is only one way of realizing this effect. It is found that the periodicity of the photonic crystal imposes an upper cutoff to the transverse wave vector of evanescent waves that can be amplified, and thus a photonic-crystal superlens is free of divergences even in the lossless case. A detailed numerical study of the optical image of such a superlens in two dimensions reveals a subtle and very important interplay between propagating waves and evanescent waves on the final image formation. Particular features that arise due to the presence of near-field light are discussed.
Optics Communications, 2004
A subwavelength aperture is a key element in near-field optical devices and many recent photonic structures. When the lateral dimensions of such aperture is smaller than half the wavelength, light cannot propagate through the hole and the transmission is typically very weak. It is usually believed to scale as the fourth power of the aperture diameter, a result first stated by Bethe [Phys. Rev. 66 (1944) 163] in 1944 by analyzing the transmission through a small hole in an infinitely thin perfectly metal screen. However, a real subwavelength aperture is very different because the thickness and the finite conductivity of the metal has significant consequences which are far from being well understood. Here we report that light impinging on isolated subwavelength holes in real metal film, in this case Ag, excite localized surface plasmon modes on the aperture ridge. Their activation gives rise to optical tunneling with unexpected enhanced transmission peaks and directionality. These properties follow from the dipolar nature of the LSP modes and can be tuned by an appropriate design of the aperture shape. These findings are of relevance for the current trends in subwavelength optics.
Journal of Applied Physics, 2007
We present a theoretical and experimental study of a bilayered metamaterial structure for subwavelength imaging of magnetic field. The simplest version of such a structure consists of one or two linear arrays of capacitively loaded split pipe resonators. Its subwavelength physics is governed by strongly anisotropic magnetic coupling between individual resonators and by propagation of magnetoinductive waves with wavelength much shorter than the wavelength of the electromagnetic radiation in free space. It is shown that magnetoinductive waves propagating in the lateral direction are undesirable because they spread the image. Good subwavelength imaging is achieved when, due to the strong interlayer coupling, a stop band in the vicinity of the resonant frequency appears in the dispersion characteristics. The imaging properties of the single and double lens are compared and it is shown that the double lens has a superior performance. Excellent agreement is obtained between experimental and theoretical results for the magnetic field in the image plane in the operation frequency range of 30-60 MHz. It is shown that the same mechanism is responsible for image formation using bilayered planar metamaterial structures and a design of such a lens comprising two planar layers with a total of 542 elements is provided. The conclusions are not restricted to the radio frequency region because the elements can be scaled down.
IEEE Journal of Quantum Electronics, 2002
An analytical theory for extraordinary light transmittance through an optically thick metal film with subwavelength holes is developed. It is shown that the film transmittance has sharp peaks that are due to the Maxwell-Garnet resonances in the holes. There are localized electric and magnetic resonances resulting in, respectively, dramatically enhanced electric and magnetic fields in the holes. A simple analytical expression for the resonance transmittance is derived that holds for arbitrary hole distribution. It is also shown that there are other types of transmittance resonances, when the holes are arranged into a regular lattice. These resonances occur because of the excitation of surface plasmon polaritons propagating over the film surface. A combination of the two kinds of resonances results in a rich spectral behavior in the extraordinary optical transmittance.
Optics Express, 2007
Transmission through an opaque Au film with a single subwavelength aperture centered in a smooth cavity between linear grating structures is studied experimentally and with a finite element model. The model is in good agreement with measured results and is used to investigate local field behavior. It shows that a surface plasmon polariton (SPP) is launched along the metal surface, while interference of the SPP with the incident light along with resonant cavity effects give rise to suppression and enhancement in transmission. Based on experimental and modeling results, peak location and structure of the enhancement/suppression bands are explained analytically, confirming the primary role of SPPs in enhanced transmission through small apertures in opaque metal films.
2010
ABSTRACT In this work, we are demonstrating resonant light transmission through hybrid multi-layered plasmonic crystals, which are formed by a coupled nanohole and a nanoparticle array. This structures are shown to provide the conventional extraordinary optical transmission (EOT) peaks and also a newly found cavity-based mode is introduced with an emphasis to its high sensing capabilities.
Optics express, 2004
Near-field imaging of an engineered double layer structure in transmission mode has shown enhancement of light intensity through the structure. An array created by an optically thick double layer structure of a total thickness of 165 nm containing twin 50 nm Au layers was imaged using a near-field scanning optical microscope in illumination mode. The resulting transmission image shows an increased local transmission at the position of each particle in the array. This viewable enhancement is due to a nanoantenna effect that is created by a resonant plasmon oscillation between the two layers.
Journal of The Optical Society of America, 2011
We describe the change of the spatial distribution of the state of polarisation occurring during two-dimensional imaging through a multilayer and in particular through a layered metallic flat lens. Linear or circular polarisation of incident light is not preserved due to the difference in the amplitude transfer functions for the TM and TE polarisations. In effect, the transfer function and the point spread function that characterize 2D imaging through a multilayer both have a matrix form and cross-polarisation coupling is observed for spatially modulated beams with a linear or circular incident polarisation. The point spread function in a matrix form is used to characterise the resolution of the superlens for different polarisation states. We demonstrate how the 2D PSF may be used to design a simple diffractive nanoelement consisting of two radial slits. The structure assures the separation of non-diffracting radial beams originating from two slits in the mask and exhibits an interesting property of a backward power flow in between the two rings.
JOSA B, 2012
In this paper we analytically study the resonance response of cylindrical subwavelength apertures embedded in metal films at near UV, optical, and near IR frequencies. This analysis is concise, and allows accurate and intuitive prediction of both propagating and evanescent modes, which are key contributors to enhanced optical transmission through thin metal films. In this approach we do not analyze the detailed behavior of the fields inside the metal walls, but still obtain the effects of the implicit buildup of charges within those walls. We calculate the modal dispersion relation, cutoff dependence on cylinder radius, and waveguide attenuation for a cylindrical aperture embedded in metal. We support our findings with finite element simulations and find strong agreement with our theory.
Optics Express, 2006
In this paper, a spatially dispersive finite-difference timedomain (FDTD) method to model wire media is developed and validated. Sub-wavelength imaging properties of the finite wire medium slabs are examined. It is demonstrated that the slab with its thickness equal to an integer number of half-wavelengths is capable of transporting images with sub-wavelength resolution from one interface of the slab to another. It is also shown that the operation of such transmission devices is not sensitive to their transverse dimensions, which can be made even comparable to the wavelength. In this case, the edge diffractions are negligible and do not disturb the image formation.
Optics express, 2006
We show that diffraction-suppressed propagation of light can be achieved in one-dimensional multilayer metal-dielectric structure, leading to high-resolution imaging through metallodielectric nanofilms.
Applied Physics A, 2011
In simulations we analyze performance of plasmonic nanolenses made of a single metal layer. We consider the nanolenses in two configurations. In the first, the nanolens is a free-standing silver layer with no hole on the optical axis and double-sided concentric corrugations. In the second, the nanolens has a set of slits instead of grooves. This necessitates integrating the annular metal elements with a dielectric matrix. We examine the following parameters of the nanolenses: film thickness, diameter of an on-axis stop, and lattice constant of slits or double-sided concentric grooves, as well as depth and width of grooves. Due to radially polarized illumination lenses have foci of full widths at half maxima (FWHMs) better than half a wavelength, though foci formed by propagating waves do not decrease beyond the diffraction limit. Due to proper geometry of slits or double-sided grooves lenses have focal lengths of the order of a few wavelengths. Transmission of light through lenses with double-sided narrow grooves reaches 30% while through ones with slits exceeds 80%.
Optics Letters, 2010
Imaging with a layered superlens is a spatial filtering operation characterized by the point spread function (PSF). We show that in the same optical system the image of a narrow sub-wavelength Gaussian incident field may be surprisingly dissimilar to the PSF, and the width of PSF is not a straightforward measure of resolution. FWHM or std. dev. of PSF give ambiguous information about the actual resolution, and imaging of objects smaller than the FWHM of PSF is possible. A multiscale analysis of imaging gives good insight into the peculiar scale-dependent properties of sub-wavelength imaging.
Applied Physics A-materials Science & Processing, 2011
We demonstrate numerically the diffraction-free propagation of sub-wavelength sized optical beams through simple elements built of metal-dielectric multilayers. The proposed metamaterial consists of silver and a high refractive index dielectric, and is designed using the effective medium theory as strongly anisotropic and impedance matched to air. Further it is characterised with the transfer matrix method, and investigated with FDTD. The
Journal of Applied Physics, 2011
We optimise the effective skin-depth and resolution of Ag-TiO 2 , Ag-SrTiO 3 , and Ag-GaP multilayers for imaging with sub-wavelength resolution. In terms of transmission and resolution the optimised multilayers outperform simple designs based on combined use of effective medium theory, impedance matching and Fabry-Perot resonances. For instance, an optimised Ag-GaP multilayer consisting of only 17 layers, operating at the wavelength of 490 nm and having a total thickness equal to one wavelength, combines 78% intensity transmission with a resolution of 60 nm. It is also shown that use of the effective medium theory leads to sub-optimal multilayer designs with respect to the trade-off between the skin depth and resolution already when the period of the structure is on the order of 40 nm or larger.
2023 IEEE 8th International Conference for Convergence in Technology (I2CT)
In this paper, we theoretically and numerically investigate the image transmission properties of a highly anisotropic metamaterial slab at terahertz (THz) frequencies. Our theoretical analysis shows that resonant higher-order modes cause severe image distortion in metamaterial slabs that substantially hinder the broadband operation of the device. We show that the resonant nature of the slab can be reduced by adjusting the imaginary part of the in-plane refractive index, Im(nxx) of the slab, yielding broad-band imaging at THz frequencies. Finally, using a figure of merit (FOM), we compare our method with existing postprocessing methods, showing improvement in imaging, particularly at lower THz frequencies.
Journal of Infrared, Millimeter, and Terahertz Waves, 2017
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