Fractal Plasmons on Cantor Set Thin Film

Abstract

The propagation of surface plasmon–polaritons is investigated in a metallic, fractal-like structure based on Cantor set. The dynamic of plasmonic modes generating on the Cantor structure is discussed in the context of the setup geometry. The numerically obtained reflection spectra are analyzed with the box-counting method to obtain their dimension, which is shown to be dependent on the geometry of the plasmonic structure. The entropy of the structure is also calculated and shown to be proportional to the dimension. Presented analysis allows for extracting information about fractal plasmonic structure from the reflectance spectrum. Predictions regarding the experimental observation of discussed effects are presented.

Aluminium-Based Plasmonic Sensors in Ultraviolet

“…In particular, the form of a grating with period p = 45 nm and two thickness values of d 21 = 4 nm and d 22 = 16 nm was used (Figure 1 inset). Such a structure supports the creation of plasmons with a wavelength that is a multiple of the period [19]. Here, the value of p was set so that SPPs could be excited with the source characterized by λ = 45/n SPP ≈ 112 nm.…”

“…The method consists of solving Maxwell's equations in a finite region that is divided into a spatial grid of discrete values. An in-house MATLAB code from our previous work [19] was adapted to the simulation of a four-layer structure. Expressions for time evolution of the electric and the magnetic field were derived and integrated with finite time step.…”

Information and Statistical Measures in Classical vs. Quantum Condensed-Matter and Related Systems

“…The proposal of matching fractal plasmons, a quantum or quasiparticle associated with a local collective oscillation of charge density, with information processing is discussed in “Fractal Plasmons on Cantor Set Thin Film” [ 4 ]. The propagation of surface plasmon–polaritons is investigated in a metallic, fractal-like structure based on the Cantor set.…”

“…To sum up, this SI accumulates substantial and versatile evidence on the widely distributed phenomenon of information transmission and how to measure it from a number of fairly complex entropic systems, ranging from classical to quantum (albeit discussed purposely in a reversed order), that have been thoroughly studied by the contributors of the presented SI [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 ]. The studies by PGC and coworkers have, to a great extent, enabled the extraction of many useful information measures from the systems covered by the SI.…”