Abstract
This paper deals with the propagation of the plane wave in a nonlocal magneto-thermoelastic semiconductor solid with rotation. The fractional-order three-phase lag theory of thermoelasticity with two temperatures has been applied. When a longitudinal wave is incident on the surface z = 0, four types of reflected coupled longitudinal waves (the coupled longitudinal displacement wave, the coupled thermal wave, coupled carrier density wave, and coupled transverse displacement wave) are identified. The plane wave characteristics such as phase velocities, specific loss, attenuation coefficient, and penetration depth of various reflected waves are computed. The effects of two temperatures, non-local parameter, fractional order parameter, and Hall current on these wave characteristics are illustrated graphically with the use of MATLAB software.
Highlights
IntroductionThe plane wave propagation in a photo-thermomagneto-elastic solid has gained significant importance due to its applications in the area of semiconductors, magnetometers, solar panels, nuclear fields, geophysics, and other linked topics. Lotfy et al (2020) discussed Hall current effect in a semiconductor medium exposed to a very strong magnetic field. Lotfy (2017) examined the wave propagation in a semiconductor medium having a spherical cavity using Fractional order theory (FOT). Ali et al (2020) examined the reflection of waves over a semiconductor rotating medium using the Three-phase lag (TPL) model with FOT. Tang and Song (2018) studied wave reflection in nonlocal semiconductor rotating media by using the plasma diffusion equation. Alshaikh (2020) examined the transmission of photo-thermal waves in a semiconductor for diffusion and rotation effects
We present the potential functions φ and ψ as u
The semiconducting medium is rotating with angular frequency Ω and is under the influence of high magnetic field
Summary
The plane wave propagation in a photo-thermomagneto-elastic solid has gained significant importance due to its applications in the area of semiconductors, magnetometers, solar panels, nuclear fields, geophysics, and other linked topics. Lotfy et al (2020) discussed Hall current effect in a semiconductor medium exposed to a very strong magnetic field. Lotfy (2017) examined the wave propagation in a semiconductor medium having a spherical cavity using FOT. Ali et al (2020) examined the reflection of waves over a semiconductor rotating medium using the TPL model with FOT. Tang and Song (2018) studied wave reflection in nonlocal semiconductor rotating media by using the plasma diffusion equation. Alshaikh (2020) examined the transmission of photo-thermal waves in a semiconductor for diffusion and rotation effects. The plane wave propagation in a photo-thermomagneto-elastic solid has gained significant importance due to its applications in the area of semiconductors, magnetometers, solar panels, nuclear fields, geophysics, and other linked topics. Lotfy et al (2020) discussed Hall current effect in a semiconductor medium exposed to a very strong magnetic field. Lotfy (2017) examined the wave propagation in a semiconductor medium having a spherical cavity using FOT. Ali et al (2020) examined the reflection of waves over a semiconductor rotating medium using the TPL model with FOT. Tang and Song (2018) studied wave reflection in nonlocal semiconductor rotating media by using the plasma diffusion equation. Alshaikh (2020) examined the transmission of photo-thermal waves in a semiconductor for diffusion and rotation effects. Kaur et al (2020a) discussed the propagation of the plane wave in a visco-thermoelastic
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