Y-shaped magnonic demultiplexer using induced transparency resonances

Abstract

We give an analytical demonstration of the possibility to realize a simple magnonic demultiplexer based on induced transparency resonances. The demultiplexer consists on an Y-shaped waveguide with an input line and two output lines. Each line contains two grafted stubs at a given position far from the input line. We derive in closed form the analytical expressions for selective transfer of a single propagating mode through one line keeping the other line unaffected. This is performed through magnonic induced transparency resonances (MIT) characterized by a resonance squeezed between two transmission zeros. The existence of a complete transmission beside a zero transmission, enables to select a given frequency on one output line, by canceling the transmission on the second line as well as the reflection in the input line. Also, we show that despite the existence of a bifurcation of the input line on two output lines, the transmission through each line can be written following a Fano line shape. In addition, in order to understand better the scattering properties of the filtered resonances, we give the analytical expressions of Fano parameter q and quality factor Q of the MIT resonance in each line. The spatial distribution of the spin waves associated to different MIT resonances is performed through an analysis of the magnetization of these modes. Also, the effect of attenuation on the transmission spectra and the quality of demultiplexing is also discussed. The theoretical results are performed using the Green’s function approach which enables to deduce in closed form, the transmission and reflection coefficients as well as the densities of states.

Applications of nanomagnets as dynamical systems: II

“…In square nanodots connected by rectangular nanochannels, the SW modes are affected by magnetic coupling as well as by selective channeling of SW modes [352]. The selective channeling of SW modes through nanochannels may be further exploited to construct an electronic demultiplexer [353]. Artificial spin-ice structures in the form of connected nanobars or nanoelements arranged in a square or honeycomb (Kagome) lattice are also interesting due to their metastable ground-state spin configuration.…”

Multi-functional resonant acoustic wave router

“…2 where the gray line corresponds to |r|, the black line to |r + t | and the red one to |t| satisfying Eqs. (2)(3)(4) at the operating frequency f * = 200 Hz. Indeed the analytical results give |r(f * )| = 1.3 × 10 −3 and |t(f * )| = 0.696 ≈ 1/ √ 2 and consequently |r (f * )| = 0.496 ≈ 1/2 and |t (f * )| = 0.494 ≈ 1/2.…”

“…Indeed the analytical results give |r(f * )| = 1.3 × 10 −3 and |t(f * )| = 0.696 ≈ 1/ √ 2 and consequently |r (f * )| = 0.496 ≈ 1/2 and |t (f * )| = 0.494 ≈ 1/2. This optimized 3-port device is achieved through the induced transparency resonance [3], localized between two transmission zeros, coming from the interaction of the detuned resonances of each HR. These resonances correspond to the two peaks in |r| and |r + t | (or dips in |t|) at f 1 = 363 Hz and f 2 = 78 Hz surrounding the operating frequency.…”

“…Since we assume that our 3-port building blocks act as splitters/combiners with a nearly perfect transmission, Eqs. (2)(3)(4) are satisfied, and the 4-port scattering matrix can be simplified to the following form at frequency f *…”

Bound in continuum states and induced transparency in mesoscopic demultiplexer with two outputs

“…[49] This method of calculation enables the deducing of dispersion relations as well as transmission and reflection coefficients. It is worth mentioning that in two recent papers, [50,51] we have demonstrated the possibility to realize magnonic and photonic demultiplexer circuits based on the EIT resonances. Each of these systems consists of an input waveguide and two output waveguides in Y-shape.…”