Abstract
In this article, coupled generalized thermoelastic with thermal relaxation time and plasma theories were used to study the reflection problem at the surface of a semiinfinite semiconconducting medium during a photothermal process. Using the harmonic wave method, the reflection coefficient ratios were obtained analytically for the incident CI wave and incident rotational wave. The variations of the amplitude of reflection coefficient ratios with the angle of incidence are shown graphically for silicon. Effects of several parameters (thermal relaxation time, thermoelastic coupling parameter, and thermoelectric coupling parameter) on reflection coefficient ratios were given by numerical results.
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References
Lord H., Shulman Y.: A generalized dynamical theory of thermoelasticity. J. Mech. Phys. Solids 15, 299–309 (1967)
Green A.E., Lindsay K.A.: Thermoelasticity. J. Elast. 2, 1–7 (1972)
Chandrasekharaiah D.S.: Thermoelasticity with second sound: a review. Appl. Mech. Rev. 39, 355–376 (1986)
Chandrasekharaiah D.S.: Hyperbolic thermoelasicity: a review of recent literature. Appl. Mech. Rev. 51, 705–729 (1998)
Sharma J.N., Kumar V., Chand Dayal.: Reflection of generalized thermoelastic waves from the boundary of a half-space. J. Therm. Stress. 26, 925–942 (2003)
Ariman T.: Wave propagation in a micropolar elastic half-space. Acta Mech. 13, 11 (1972)
Kumar R.: Wave propagation in a micropolar viscoelastic generalized thermoelastic solid. Int. J. Eng. Sci. 38, 1377 (2000)
Ezzat M.A., Othman M.I.A.: Electro-magnetothermoelastic plane waves with thermal relaxation in a medium of perfect conductivity. J. Therm. Stress. 24, 411 (2001)
Singh B.: Reflection and refraction of plane waves at a liquid/thermo-microstretch elastic solid interface. Int. J. Eng. Sci. 39, 583 (2001)
Singh B., Singh S.J.: Reflection of plane waves at the free surface of a fiber-reinforced elastic half-space. Sadhana Acad. Proc. Eng. Sci. 29, 249 (2004)
Song Y.Q., Zhang Y.C., Xu H.Y., Lu B.H.: Reflection of magnetothermo-visco-elastic waves under generalized thermo-viscoelasticity. Int. J. Thermophys. 25, 909 (2004)
Othman M.I.A., Song Y.Q.: The effect of rotation on the reflection of magneto-thermo-elastic waves under thermoelasticity without energy dissipation. Acta Mech. 184, 189 (2006)
Singh B., Kumar A., Singh J.: Reflection of generalized thermoelastic waves from a solid half-space under hydrostatic initial stress. Appl. Math. Comput. 177, 170 (2006)
Othman M.I.A., Song Y.Q.: Reflection of plane waves from an elastic solid half-space under hydrostatic initial stress without energy dissipation. Int. J. Solids Struct. 44, 5651 (2007)
Othman M.I.A., Song Y.Q.: Reflection and refraction of thermo-viscoelastic waves at the interface between two micropolar viscoelastic media without energy dissipation. Can. J. Phys. 85, 797 (2007)
Othman M.I.A., Kumer R.: Reflection of magneto-thermoelasticity waves with temperature dependent properties in generalized thermoelasticity. Int. Commun. Heat Mass Transf. 36, 513 (2009)
Gordon J.P., Leite R.C.C., Moore R.S., Porto S.P.S., Whinnery J.R.: Long-transient effects in lasers with inserted liquid samples. Bull. Am. Phys. Soc. 119, 501 (1964)
Kreuzer L.B.: Ultralow gas concentration infrared absorption spectroscopy. J. Appl. Phys. 42, 2934 (1971)
Tam A.C.: Ultrasensitive Laser Spectroscopy, pp. 1–108. Academic Press, New York (1983)
Tam A.C.: Applications of photoacoustic sensing techniques. Rev. Mod. Phys. 58, 381 (1986)
Tam A.C.: Photothermal Investigations in Solids and Fluids, pp. 1–33. Academic Press, Boston (1989)
Todorovic D.M., Nikolic P.M., Bojicic A.I.: Photoacoustic frequency transmission technique: electronic deformation mechanism in semiconductors. J. Appl. Phys. 85, 7716 (1999)
Song Y.Q., Todorovic D.M., Cretin B., Vairac P.: Study on the generalized thermoelastic vibration of the optically excited semiconducting microcantilevers. Int. J. Solids Struct. 47, 1871 (2010)
Mandelis A., Nestoros M., Christofides C.: Thermoelectronic-wave coupling in laser photothermal theory of semiconductors at elevated temperature. Opt. Eng. 36, 459 (1997)
Todorovic D.M.: Plasma, thermal, and elastic waves in semiconductors. Rev. Sci. Instrum. 74, 582 (2003)
Vasil’ev A.N., Sandomirskii V.B.: Photoacoustic effects in finite semiconductors. Sov. Phys. Semicond. 18, 1095 (1984)
Christofides C., Othonos A., Loizidou E.: Influence of temperature and modulation frequency on the thermal activation coupling term in laser photothermal theory. J. Appl. Phys. 92, 1280 (2002)
Todorovic D.M., Nikolic P.M., Bojicic A.I., Radulovic K.T.: Thermoelastic and electronic strain contributions to the frequency transmission photoacoustic effect in semiconductors. Phys. Rev. B 35, 15631 (1997)
O’Leary M.A, Boas D.A, Chance B., Yodh A.G.: Refraction of diffuse photon density waves. Phys. Rev. Lett. 69, 2658 (1992)
Mandelis A., Nicolaides L., Chen Y.: Structure and the reflectionless/refractionless nature of parabolic diffusion-wave fields. Phys. Rev. Lett. 87, 020801 (2001)
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Song, Y.Q., Bai, J.T. & Ren, Z.Y. Study on the reflection of photothermal waves in a semiconducting medium under generalized thermoelastic theory. Acta Mech 223, 1545–1557 (2012). https://doi.org/10.1007/s00707-012-0677-1
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DOI: https://doi.org/10.1007/s00707-012-0677-1