Transmission and reflection properties of two-dimensional finite metal crystals

Roszkiewicz, Agata; Nasalski, W.

doi:10.1140/epjd/e2017-70706-9

Cited by 3 publications

(2 citation statements)

References 27 publications

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“…[ 20 ] The numerical analysis is based on the 2D Fourier modal method with the implementation of the scattering matrix algorithm and proper factorization rules, extended to multilayer structures. [ 21 ] First, we should note that any transfer matrix method improves with increasing number of subsystems and ultimately becomes an ideal approximation in the limit where one divides the potential into an infinite number of slabs, that is, there is an infinite multiplications of matrices involved. Of course, this is impossible from the numerical viewpoint, but it has been shown [ 22 ] that this limit is actually equivalent to the WKB solution, provided the off‐diagonal reflection coefficients are neglected.…”

Section: Resultsmentioning

confidence: 99%

Generalizing Fowler–Nordheim Tunneling Theory for an Arbitrary Power Law Barrier

Grigoryan

Roszkiewicz

Chudziński

2023

Physica Status Solidi (b)

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Herein, the canonical Fowler–Nordheim theory is extended by computing the zero‐temperature transmission probability for the more general case of a barrier described by a fractional power law. An exact analytical formula is derived, written in terms of Gauss hypergeometric functions, that fully capture the transmission probability for this generalized problem, including screened interaction with the image potential. First, the quality of approximation against the so far most advanced formulation of Fowler–Nordheim, where the transmission is given in terms of elliptic integrals, is benchmarked. In the following, as the barrier is given by a power law, in detail, the dependence of the transmission probability on the exponent of the power law is analyzed. The formalism is compared with results of numerical calculations and its possible experimental relevance is discussed. Finally, it is discussed how the presented solution can be linked in some specific cases with an exact quantum‐mechanical solution of the quantum well problem.

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Section: Resultsmentioning

confidence: 99%

Generalizing Fowler–Nordheim Tunneling Theory for an Arbitrary Power Law Barrier

Grigoryan

Roszkiewicz

Chudziński

2023

Physica Status Solidi (b)

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“…Numerical analysis of the optical response of the structure was performed using two-dimensional (2D) multilayer RCWA [44] with implementation of the scattering matrix algorithm and the factorization rules. We employed this numerical, well convergent code previously for one-dimensional (1D) stacked metal crystals [45]. In the present case, the 2D structure approximates the 1D pattern.…”

Section: Resultsmentioning

confidence: 99%

Formation and Characterization of Hole Nanopattern on Photoresist Layer by Scanning Near-Field Optical Microscope

et al. 2019

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Patterning of lines of holes on a layer of positive photoresist SX AR-P 3500/6 (Allresist GmbH, Strausberg, Germany) spin-coated on a quartz substrate is carried out by using scanning near-field optical lithography. A green 532 nm-wavelength laser, focused on a backside of a nanoprobe of 90 nm diameter, is used as a light source. As a result, after optimization of parameters like laser power, exposure time, or sleep time, it is confirmed that it is possible to obtain a uniform nanopattern structure in the photoresist layer. In addition, the lines of holes are characterized by a uniform depth (71–87 nm) and relatively high aspect ratio ranging from 0.22 to 0.26. Numerical modelling performed with a rigorous method shows that such a structure can be potentially used as a phase zone plate.

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Reflective metamaterial polarizer enabled by solid-immersion Lloyd's mirror interference lithography

Hong

Blaikie

2019

Journal of Vacuum Science &Amp; Technology B, Nanotechnology and Microelectronics: Materials, Processing, Measurement, and Phen

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Metamaterials with induced form birefringence arising from orderly arrangements of subwavelength structures can realize effective refractive indices that do not exist in nature. Using lithographically-defined thin film or multilayered metasurfaces, such form birefringence can be used for polarization and phase control in thin-film elements. In this work, the authors experimentally demonstrate a highly birefringent omnidirectional broadband reflective metamaterial polarizer (RMP), fabricated using a solid-immersion Lloyd's mirror interference lithography (SILMIL) technique. This technique can create 55 nm half-pitch gratings, up to 200 nm tall, using single 405 nm exposures. Angle-resolved reflection spectra of SILMIL-fabricated subwavelength dual-silver grating RMPs exhibit excellent omnidirectionality over a broad spectral bandwidth in the optical range. The behavior and mechanism of the double-layer RMP has been analyzed with finite-difference time domain and rigorous coupled wave analysis simulations, showing coupling between excited surface plasmon polaritons and multiple Fabry–Perot resonances. Furthermore, the authors propose via simulation that by switching from a dielectric resonator to a metallic resonator, the SILMIL technique can be used to fabricate dual-layer thin-film metamaterials that have the capability of phase retardation control, providing a new scheme for reflective thin-film waveplates.

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Transmission and reflection properties of two-dimensional finite metal crystals

Cited by 3 publications

References 27 publications

Generalizing Fowler–Nordheim Tunneling Theory for an Arbitrary Power Law Barrier

Generalizing Fowler–Nordheim Tunneling Theory for an Arbitrary Power Law Barrier

Formation and Characterization of Hole Nanopattern on Photoresist Layer by Scanning Near-Field Optical Microscope

Reflective metamaterial polarizer enabled by solid-immersion Lloyd's mirror interference lithography

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