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THE CONTRIBUTION OF THE RELAXATION OF THE HEAT FLOW TO THE CHARACTERISTICS OF THE FUNDAMENTAL HARMONICS OF A NONLINEAR PHOTOACOUSTIC SIGNAL IN CONDENSED MEDIA

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UDC:  534.16: 535.341            https://doi.org/10.62965/tnu.sns.2024.1.6                 Download article

 

Khodjaev Y.P., Salikhov T.Kh. Sulaimonov A. E., Mahmalatif A.

Scientific Research Institute of Tajik National University

 

Based on the system of nonlinear heat conduction  equations, which takes into account the relaxation of the heat flux for the gas layer, the sample, and the substrate, a system of equations is obtained for temperature fluctuations at the fundamental harmonic (FH) of a nonlinear photoacoustic (PA) signal.

It is believed that all three layers in the PA-chamber have their own relaxation times, and the irradiated photon flux is modulated according to the harmonic law. The temperature dependence of thermophysical and optical parameters is represented by thermal coefficients. By solving the boundary problem, general expressions were obtained for the oscillatory component of the temperature perturbation in the exhaust gas, and then, according to a well-known scheme, for pressure fluctuations in the gas layer. The obtained expressions are analyzed.

The frequency dependence of the amplitude and phase of this signal is numerically calculated for two possible substrates: the substrate is a thermal insulator and the substrate is an ideal conductor. It has been established that the frequency dependence of the PA-signal amplitude for these cases is antiphase. While, this dependence for the phase of the PA-signal is consistent in phases moreover, the values of the maximum and minimum coincide. The only significant difference is that in the region of zero modulation frequencies, the phase of the signal for a substrate made of a thermal insulator is positive, while for a substrate made of an ideal conductor is negative.

 

Key words: optoacoustic, heat flow, heat flow relaxation, thermal nonlinearity, photoacoustic, nonlinear photoacoustic response, fundamental harmonic, gas microphone registration.

 

Information about the authors

 

Salikhov Tagaymurod  Haitovich – Scientific Research Institute of Tajik National University, 

doctor of physical and mathematical sciences, professor, the chief researcher of Department of "Physics of the Condensed Matter".

Address: 734025, Dushanbe, Rudaki, Avenue 17. Phone: (+992) 919-24-83-11.

Е-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

 

Yunus Khodjaev  Pardalievich - Scientific Research Institute of Tajik National University,

Ph.D., Leading Researcher, Department of Condensed Matter Physics. Address: 734025, Republic of Tajikistan, Dushanbe, Rudaki Avenue, 17.

Phone: 918-24-03-50.

E-mail: kh.yunus84@mail.ru

 

Sulaimonov Aidar Eronshoevich – Scientific Research Institute of Tajik National University,

Researcher  of the Department of Condensed Matter Physics.

Address: 734025, Republic of Tajikistan, Dushanbe, Rudaki Avenue, 17.

Phone: 931923312.

E-mail:  This email address is being protected from spambots. You need JavaScript enabled to view it.

 

Alisher Makhmalatif – Scientific Research Institute of Tajik National University,

Ph.D, Senior Researcher of the Condensed Matter Physics Department, Research Institute of the Tajik National University.

Аddress: 734025, Republic of Tajikistan, Dushanbe, Rudaki Avenue 17.

Phone: 935−93−19−31,

E−mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

 

REVIEWER: Makhsudov B.I., Doctor physical and mathematical sciences, Professor

 

REFERENCES

 

  1. Lyamshev, L.M. Optical sound generation. Nonlinear effects. Review / L.M. Lyamshev, K.A Naugolnykh // Acoust. Journal - T.27. Issue 5. -1981 pp. 641-668.
  2. Gusev, V.E. Laser optoacoustics / V.E. Gusev, A.A. Karabutov // M.: Science, 1991. – 304 p.
  3. Gao, R. Nonlinear mechanism tool in photoacoustics-powerful tools in photoacoustic imaging / R. Gao., Zh. Xu., Ya., Ren, L. Song. Ch. Liu, Photoacoustics. - 2021. -V.22. – Pp. 100-243.

4.Proskurin, M.A. Photothermal and optoacoustic spectroscopy: Current state and prospects / M.A. Proskurin, V.R. Khabibulin, L.O. Usoltseva, E.A. Vyrko, I.V. Mikheev, D.S. Volkov // Advances in physical sciences. -T.192.- № 3. – Pp.  294-340.

  1. Egerev, S.V. Optoacoustics of inhomogeneous medical media: competition of mechanisms and application prospects / S.V. Egerev, Ya.O. Simanovsky // Acoustic magazine. − 2022. − T.68. – № 1. – Pp. 96-116.
  2. Mandelis, A. Nonlinear fundamental photothermal response in three dimensional geometry/ A. Mandelis, A. Salnick, J. Opsal, A. Rosenswaig // Theoretical model - J. Appl. Phys. −1999. −V.85. −Pp. 1811−1821.
  3. Salnick A. Nonlinear fundamental photothermal response / A/ Salnick, J. Opsal, A. Rosenswaig, A. Mandelis. // experimental results for tungsten. -Solid Stat. Com. −2000. −V.114. −№ 1. −Pp. 133−136.
  4. Gusev, V. Nonlinear photothermal response of thin solid films and coatings / V. Gusev, A. Mandelis, R. Bleiss. // Mater. Sci. Eng. - 1994.- B26.- № 1. - Pp.111-119.
  5. Madvaliev, U. Nonlinear photoacoustic response of opaque media during gas-microphone signal recording / U. Madvaliev, T.X. Salikhov, D.M. Sharifov, N.A. Khan // Journal of Applied Spectroscopy. − 2006. − T.73. − № 2. – Pp. 170-176.
  6. Madvaliev, U. Influence of thermal nonlinearity of strongly absorbing media on the parameters of the photoacoustic signal during gas microphone recording. Fundamental and second harmonics. / U, Madvaliev, T.X. Salikhov, D.M., Sharifov // Journal of Technical Physics. − 2006. − T.76. − № 6. – Pp. 87-97.
  7. Salikhov, T.Kh. Contribution of the temperature dependence of the thermophysical parameters of the substrate on the parameters of the second harmonic of the photoaustic signal of opaque media / T.Kh. Salikhov, D.M. Sharipov, Kh.Sh. Tuychiev // Reports of the Academy of Sciences of the Republic of Tajikistan.− 2008.− T. 51.− № 8. – Pp. 588-593.
  8. Gregoire, G. Nonlinear photothermal and photoacoustic processes for crack detection/ G. Gregoire, V. Tournat, D. Mounier, V. E. Gusev // - Eur. Phys. J. Special Topics. −2008.−V.153. – Pp. 313−315.
  9. Muratikov, K.L. Influence of external and technological stresses on PA im-ages of Vickers indented ceramics and metals/ K.L., Muratikov, A.L Glazov. //Proc. SPIE. –2007. –V.6594. – Pp. 6541−6550.
  10. Rapidzic, A. Experimental evidence of second harmonic photoacoustic signal generation in metals / Rapidzic. A., Petrovic. D.M., Lukic. S.R., Drami-canin. M.D. // Journal of optoelectronics and advanced materials September. −2007−.V9. – Pp.2691 – 2695.
  11. Salikhov, T.Kh. Influence of the temperature dependence of optical quantities on the characteristics of the fundamental harmonic of a nonlinear photoacoustic signal of solids with volumetric beam absorption / T.Kh. Salikhov, D.M. Sharifov, Kh.Sh. Tuychiev // Reports of the Academy of Sciences of the Republic of Tajikistan.− 2011.− T. 54.− № 6. – Pp.465-472.
  12. Salikhov, T.Kh. Theory of generation of the second harmonic of a nonlinear photoacoustic signal by two-layer opaque samples / T.Kh. Salikhov Yu.P. Khodjaev, R.K Rakhmonov // Bulletin of the Tajik National University. Series of natural sciences. − 2014. − №1/4 (153). – Pp.174-180.
  13. Salikhov, T.Kh. Theory of generation of the second harmonic of a nonlinear photoacoustic signal by optically inhomogeneous solids / T.Kh. Salikhov, A. Makhmalatif, Yu.P. Khodzhaev, R.K. Rakhmonov // Reports of the Academy of Sciences of the Republic of Tajikistan.− 2015.−T. 58.− № 9. – Pp.804-812.
  14. Salikhov, T.Kh. The influence of thermophysical and substrate properties on the characteristics of a nonlinear photoacoustic signal of opaque media / T.Kh. Salikhov, U. Madvaliev, D.M. Sharifov, Kh.Sh. Tuychiev // Journal of Applied Spectroscopy. − 2019. −T.86. −№ 6. – Pp.908-916
  15. 19. Salikhov, T.Kh. On the theory of generation of a nonlinear photoacoustic signal during gas microphone recording / T.Kh. Salikhov, U. Madvaliev, D.M. Sharifov, Kh.Sh. Tuychiev // Journal of Technical Physics. – 2021. − T.91. - Issue 11. – Pp.1608-1618.
  1. Zhenhui, Z. Subdiffraction-limited second harmonic photoacoustic micros-copy based on nonlinear thermal diffusion/ Z. Zhenhui // Optics Letters.- 2018.- Vol. 43. -№ 10. – Pp.2336-2339.
  2. Yujiao Shi. Nonlinear photoacoustic imaging dedicated to thermal nonlinearity characterization/ Shi. Yujiao, Z. Zhenhui // Chinese Optics Letters.- 2021.-V.19. - № 7. – Pp.1-5.
  3. Salikhov, T.Kh. Contribution of substrate absorption to the formation of nonlinear photoacoustic response of two-layer samples: mathematical model and temperature field / T.Kh.Salikhov, N., Melikhudzha. A. Makhmalatif, Yu.P. Khojaev // Bulletin of the Tajik National University. Natural Sciences Series. -2019. - №4. – Pp. 67-73.
  4. Schaber, F.A. Analytical solution for time-resolved photoacoustic calorimetry data and applications to two typical photoreactions / R.M., Nunes. M. Barroso. C. Serpa. L. Arnaut // Photochem. Photobiol. Science. − 2010. − V.9. − № 6. – Pp. 812-822.
  5. Wang L. V. Photoacoustic tomography: in vivo imaging from organelles to organs // Science. – 335. – 2012. – Pp. 1458-1462.
  6. Lutzweiler C. Optoacoustic imaging and tomography: recon-struction approaches and outstanding challenges in image performance and quantification // Sensors. – 2013. – Vol.13. – Pp. 7345-7384.
  7. Yao Y. Sensitivity of photoacoustic microscopy. J.Photoacoustics // J.Photoacoustics. – 2014. – v. 2. – Pp. 87-101.
  8. Salikhov T.Kh. Mathematical model for assessing the contribution of heat flow relaxation to the nonlinear photoacoustic response of solid samples / T.Kh.Salikhov, Yu.P.Khodzhaev, A.E.Sulaimonov // News of the National Academy of Sciences of Tajikistan. Department of physical, mathematical, chemical, geological and technical sciences. - 2023. - No. 2. – Pp. 40-45.
  9. Salikhov, T.Kh. Features of the generation of the second harmonic of a nonlinear photoacoustic signal in condensed media with relaxation of heat flow. / T.H. Salikhov, Yu.P. Khodzhaev, A.E. Sulaimonov // Bulletin of the Tajik National University. Natural Sciences Series. -2023. No. 3.
  10. Salikhov T.Kh. On the contribution of heat flow relaxation to the characteristics of the photoacoustic signal of solid-state samples / T.Kh. Salikhov, Yu.P. Khodzhaev, A.E.Sulaimonov // Vestnik TNU. Series of natural sciences −2023.−№1. – Pp.149−159.
  11. Rosencwaig A. Theory of the photoacoustic effect with solids / A. Rosen-cwaig, A. Gersho // J. Appl Phys. -1976. -V.47, No.1. – Pp.64−69.
  12. Novichenok L.N., Shulman Z.P. Thermophysical properties of polymers./ L.N. Novichenok, Z.P. Shulman / Minsk: Science and Technology, 1971. – 120 p.
  13. Zolotarev V.M. Optical constants of natural and technical media. / V.M. Zolotarev V.N. Morozov, E.V. Smirnov // Directory. - L.: Chemistry, -1984. – 216 p.
  14. Physical quantities. / Directory (ed. by I.S. Grigoriev and E.Z. Meilikhov). - M.: Energoatomizdat, -1991. – P. 1232.

 

 

Article received: 12.09.2023

Approved after review: 11.10.2023

Accepted for publication: 20.11.2023

 

   
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