Stark-ladder resonances in the propagation of electromagnetic waves

Monsiváis, G.; Castillo-Mussot, Marcelo del; Claro, F.

doi:10.1103/physrevlett.64.1433

Cited by 56 publications

(33 citation statements)

References 14 publications

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“…In the acoustic case gðzÞ ¼ 1=v 2 L ðzÞ, where v L (z) is the longitudinal sound velocity at z. 31 We fabricated three different samples, obtained repeating periodically two layers a and b with different porosity, and denoted as A, B, and C. The number of periods considered must be large enough to obtain well defined acoustics gaps. In the three samples, layer b has a constant porosity of 73% and thickness d b ¼ 1.01 lm; meanwhile the porosity in layer a, with thickness d a ¼ 4.62 lm in the three samples, varies gradually along the growth direction.…”

Section: Methodsmentioning

confidence: 99%

Experimental and theoretical demonstration of acoustic Bloch oscillations in porous silicon structures

Lazcano

Arriaga

Aliev

2014

Journal of Applied Physics

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We report the theoretical calculations and the experimental demonstration of acoustic Bloch oscillations and Wannier-Stark ladders in linear tilted multilayer structures based on porous silicon. The considered structures consist of layers with constant porosity alternated by layers with a linear gradient in the parameter g ¼ 1=v 2L along the growth direction in order to tilt the acoustic band gap. The purpose of this gradient is to mimic the tilted electronic miniband structure of a superlattice semiconductor under an external electric field. In this way, acoustic Wannier-Stark ladders of equidistant modes are formed and they were experimentally confirmed in the transmission spectrum around 1.2 GHz. Their frequency separation defines the period of the acoustic Bloch oscillations. We fabricated three different structures with the same thicknesses but different values in the g parameter to observe the effect on the period of the Bloch oscillations. We measured the acoustic transmission spectra in the frequency domain, and by using the Fourier transform, we obtained the transmission in the time domain. The transmission spectra of the fabricated samples show acoustic Bloch oscillations with periods of 27, 24, and 19 ns. The experimental results are in good agreement with the transfer matrix calculations. The observed phenomenon is the acoustic counterpart of the well known electronic Bloch oscillations. V C 2014 AIP Publishing LLC.

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Section: Methodsmentioning

confidence: 99%

Experimental and theoretical demonstration of acoustic Bloch oscillations in porous silicon structures

Lazcano

Arriaga

Aliev

2014

Journal of Applied Physics

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“…Therefore, these ladders could also be observed in classical undulatory systems. Some of these classical systems have been analyzed theoretically [16,17,18].…”

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confidence: 99%

Wannier-Stark Ladders in One-Dimensional Elastic Systems

et al. 2006

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The optical analogues of Bloch oscillations and their associated Wannier-Stark ladders have been recently analyzed. In this paper we propose an elastic realization of these ladders, employing for this purpose the torsional vibrations of specially designed one-dimensional elastic systems. We have measured, for the first time, the ladder wave amplitudes, which are not directly accessible either in the quantum mechanical or optical cases. The wave amplitudes are spatially localized and coincide rather well with theoretically predicted amplitudes. The rods we analyze can be used to localize different frequencies in different parts of the elastic systems and viceversa. PACS numbers: 43.35.+d,63.20.Pw,43.40.Cw Recently, undulatory systems showing analogues of Bloch oscillations and Wannier-Stark ladders (WSL) attracted increasing attention in several fields of physics [1,2,3,4,5]. As shown by Bloch, electrons in a periodic potential have extended solutions. The same is true for the behavior of an electron under the action of a static electric field. In contrast, and opposite to intuition, when both the periodic potential and the electric field are present, the solutions are localized; this is only true when band to band Zener tunneling is negligible or the system is short enough. The spectrum then shows equally spaced resonances known as Wannier-Stark ladders, the nearest-neighbor level spacing being proportional to the intensity of the external field [6]. In the time domain, the Wannier-Stark ladders yield the so called Bloch oscillations which consist in a counterintuitive effect where the electrons show an * Permanent address:

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“…4(b) and the pattern is symmetric with respect to the line parallel with the y-axis that crosses the Fig. 5 can be considered as a photonic analogue of its electronic counterpart which, in contrast to previously reported optical Wannier-Stark ladder systems [37]- [39], are implied to be due to the time-dependent modulation of the external magnetic field.…”

Section: B Transport and Spectral Properties In The Presence Of A Timmentioning

confidence: 75%

Controlling surface plasmon polaritons by a static and/or time-dependent external magnetic field

2012

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Stark-ladder resonances in the propagation of electromagnetic waves

Cited by 56 publications

References 14 publications

Experimental and theoretical demonstration of acoustic Bloch oscillations in porous silicon structures

Experimental and theoretical demonstration of acoustic Bloch oscillations in porous silicon structures

Wannier-Stark Ladders in One-Dimensional Elastic Systems

Controlling surface plasmon polaritons by a static and/or time-dependent external magnetic field

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