Amplification of Ultrasonic Waves in Piezoelectric Semiconductors

White, Donald L.

doi:10.1063/1.1729015

Cited by 665 publications

(131 citation statements)

References 6 publications

Supporting

Mentioning

123

Contrasting

Unclassified

Order By: Relevance

“…Following Steele and Vural [29] and White [30], and using Eqs. (1)- (4), we get the quantum modified dispersion relation for acousto-electric interactions in magnetised piezoelectric semiconductor quantum plasma as…”

Section: Theoretical Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Acousto-Electric Interaction in Magnetised Piezoelectric Semiconductor Quantum Plasma

Ghosh

Muley

2016

Acta Phys. Pol. A

View full text Add to dashboard Cite

Amplification of an acoustic wave is considered in magnetised piezoelectric n-type semiconductor plasma under quantum hydrodynamic regime. The important ingredients of this study are the inclusion of quantum diffraction effect via the Bohm potential, statistical degeneracy pressure, and externally applied magnetostatic field in the momentum balance equation of the charged carriers. A modified dispersion relation is derived for evolution of acoustic wave by employing the linearization technique. Detailed analysis of quantum modified dispersion relation of acoustic wave is presented. For a typical parameter range, relevant to n-InSb at 77 K, it is found that the non-dimensional quantum parameter H reduces the gain while magnetic field enhances the gain of acoustic wave. The crossover from attenuation to amplification occurs at (ϑ0/ϑs) = 1 and this crossover point is found to be unaffected by quantum correction and magnetic field. It is also found that the maximum gain point shifts towards lower drift velocity regime due to the presence of magnetic field while quantum parameter H shifts this point towards higher drift velocity. Numerical results on the acoustic gain per radian and acoustic gain per unit length are also illustrated. Our results could be useful in understanding acoustic wave propagation in magnetised piezoelectric semiconductor in quantum regime.

show abstract

Section: Theoretical Formulationmentioning

confidence: 99%

“…(7) represents the modified electro-kinetic mode in presence of magnetic field and quantum parameter H. Now using the approximation kϑs ω = 1 + iα [30], where the gain per radian α 1, in the collision dominated regime (ω, kϑ 0 ν), Eq. (5) reduces to…”

Section: Theoretical Formulationmentioning

confidence: 99%

Acousto-Electric Interaction in Magnetised Piezoelectric Semiconductor Quantum Plasma

Ghosh

Muley

2016

Acta Phys. Pol. A

View full text Add to dashboard Cite

show abstract

“…Let us assume that the semiconductor layer on the piezoelectric substrate is thinner than a Debye length. In the one-dimensional case the equation of the current density in the direction z ( fig.1) is expressed as [6]:…”

Section: Thin Semiconducting Sensor Layermentioning

confidence: 99%

Analytical model of a SAW gas sensor

Urbańczyk

2011

Computational Methods and Experimental Measurements XV

View full text Add to dashboard Cite

SAW gas sensors are attractive because of their remarkable sensitivity due to changes of the boundary conditions (mechanical and electrical in the acoustoelectric effect) propagating of the Rayleigh wave, introduced by the interaction of a thin chemically active sensor film with gas molecules. This unusual sensitivity results from the fact that most of the acoustic wave energy is concentrated near the waveguide surface within approximately one or two wavelengths. In the paper a new theoretical model of analysing a SAW gas sensor is presented. The effect of SAW velocity changes depends on the profile concentration of diffused gas molecules in the porous sensor film. Basing on these analytical results, the sensor structure can be optimized. Some numerical results are shown.

show abstract

“…is the sound (electron drift) velocity], and amplification can take place due to the phonon emission of carriers [11][12][13]. In other words, acoustic gain is * morwi@fotonik.dtu.dk produced when the electron drift velocity exceeds the velocity of sound, which is in direct analogy to Cherenkov radiation.…”

mentioning

confidence: 99%