Characterization of the photothermal interaction on a viscoelastic semiconducting solid cylinder due to ramp-type heating based on green-naghdi theories
TL;DR: In this article, the photothermal interaction of a homogenous, isotropic, semiconducting, viscothermoelastic solid cylinder in the context of Green-Naghdi theories of generalized thermo-elasticity (type-I, -II, and -III) has been dealt with.
Abstract: This paper is dealing with the photothermal interaction of a homogenous, isotropic, semiconducting, viscothermoelastic solid cylinder in the context of Green-Naghdi theories of generalized thermoelasticity (type-I, -II, and -III). The ramp-type heating has thermally loaded the bounding surface of the cylinder. The governing equations have been constructed in the Laplace transform domain, and the Laplace inversions have been calculated numerically by using the Tzou method. The numerical results for the carrier density increment, temperatures increment, strain, stress, and stress-strain energy have been represented in figures with various values of mechanical relaxation time and ramp-time heat parameter. The mechanical relaxation time has minimal effects on the carrier density function and temperature increment, while its effects on the strain, stresses, and stress-strain energy are significant. The ramp-time heat parameter has significant effects on all the studied functions.
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TL;DR: In this article, a new model of photothermoelastic and semiconducting two-dimensional solid cylinder in the context of Lord-Shulman's theory of thermo-elasticity is presented.
Abstract: This article deals with a new model of photothermoelastic and semiconducting two-dimensional solid cylinder in the context of Lord–Shulman's theory of thermoelasticity. The surface of the cylinder ...
4 citations
TL;DR: In this paper, a new unified formula that governs two different definitions of fractional derivative was introduced, the classical Caputo definition and the Caputo-Fabrizio's new definition.
Abstract: In this paper, we introduce a new unified formula that governs two different definitions of fractional derivative; the classical Caputo definition and Caputo–Fabrizio's new definition. Hence, an an...
1 citations
TL;DR: In this paper, the authors constructed a mathematical model of a one-dimensional thermoelastic semiconducting solid sphere based on the L-S model to study the photothermal interaction.
Abstract: In the present investigation, we constructed a novel mathematical model of a one-dimensional thermoelastic semiconducting solid sphere based on the L-S model to study the photothermal interaction. ...
1 citations
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TL;DR: In this article, a universal constitutive equation between the heat flux vector and the temperature gradient is proposed to cover the fundamental behaviors of diffusion, wave, phonon-electron interactions, and pure phonon scattering.
Abstract: A universal constitutive equation between the heat flux vector and the temperature gradient is proposed to cover the fundamental behaviors of diffusion (macroscopic in both space and time), wave (macroscopic in space but microscopic in time), phonon-electron interactions (microscopic in both space and time), and pure phonon scattering The model is generalized from the dual-phase-lag concept accounting for the laging behavior in the high-rate response While the phase lag of the heat flux captures the small-scale response in time, the phase lag of the temperature gradient captures the small-scale response in space The universal form of the energy equation facilitates identifications of the physical parameters governing the transition from one mechanism (such as diffusion or wave) to another (the phonon-electron interaction)
1,435 citations
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TL;DR: In this article, the theory and applications of photo-acoustic (also called optoacoustic) methods belonging to the more general area of photothermal measurement techniques are reviewed, covering excitation of gaseous or condensed samples with modulated continuous light beams or pulsed light beams.
Abstract: This paper reviews the theory and applications of photoacoustic (also called optoacoustic) methods belonging to the more general area of photothermal measurement techniques. The theory covers excitation of gaseous or condensed samples with modulated continuous light beams or pulsed light beams. The applications of photoacoustic methods include spectroscopy, monitoring deexcitation processes, probing physical properties of materials, and generating mechanical motions. Several other related photothermal methods, as well as particle-acoustics and wave-acoustics methods are also described. This review complements an earlier and narrower review [Rev. Mod. Phys. 53, 517 (1981)] that is mainly concerned with sensitive detection by pulsed photoacoustic spectroscopy in condensed matter.
1,183 citations
TL;DR: In this paper, buildup and decay transients were observed when polar or nonpolar liquid cells were placed within the resonator of a helium-neon laser operating in the red at 6328 A.
Abstract: Buildup and decay transients were observed when polar or nonpolar liquid cells were placed within the resonator of a helium—neon laser operating in the red at 6328 A. Similar but smaller effects were also observed with two solids. Time constants were the order of a few seconds for all materials, which suggests a thermal phenomenon, but general heating effects were ruled out by the strong localization of the phenomenon. Transverse motion of the cell by about one beam width caused new transients similar to the initial ones.It is believed that the effects are caused by absorption of the red light in the material, producing a local heating in the vicinity of the beam and a lens effect arising from the transverse gradient of refractive index. Absorptions of 10−3 to 10−4 parts per centimeter are sufficient to produce the effects, and are believed to be reasonable values for the materials studied. One of the most important applications may in fact be for the measurement of small absorbancies.The experiments are ...
992 citations
TL;DR: In this article, a new technique was presented for obtaining the absorption spectra of small samples and low concentrations of gases, which makes use of currently available sources of wavelength-tunable intense coherent light such as the optical parametric oscillator, dye laser, or tunable diode laser.
Abstract: A new technique is presented for obtaining the absorption spectra of small samples and low concentrations of gases. The technique makes use of currently available sources of wavelength‐tunable intense coherent light such as the optical parametric oscillator, dye laser, or tunable diode laser. The absorbed power is detected by the heating and resultant pressure rise in the absorbing gas. An initial experiment with a 15‐mW He–Ne laser operating at 3.39 μ has shown a sensitivity adequate to measure the absorption of a concentration of 10−8 of methane in nitrogen. It is expected that, with higher‐power sources of tunable ir radiation, it may be possible in the future to detect concentrations of impurities as low as 10−13.
498 citations
TL;DR: A quantitative analysis of the electronic deformation (electronic strain) contribution to the photoacoustic signal in semiconductor samples was done in this paper, where the authors investigated the PA effect as a function of the modulation frequency in a transmission detection configuration.
Abstract: A quantitative analysis of the electronic deformation (electronic strain) contribution to the photoacoustic signal in semiconductor samples was done. The photoacoustic (PA) effect was investigated as a function of the modulation frequency in a transmission detection configuration. The theoretical model for this configuration was given for the thermal and elastic processes besides the carrier transport characteristic and the relation for electronic elastic deformation was derived by the theory of the elastic thin plate vibrations. Analysis showed that the electronic deformation mechanisms can have an important infleucne on the PA signal in the frequency range typical for gas-microphone detection. The experimental photoacoustic data for Si samples were measured and they exhibited a satisfactory agreement with the theoretical model.
177 citations