There is a space for the optical formalism in the transmission of heat?

Mario Bertolotti and Roberto Li Voti
Department of Basic and Applied Sciences for Engineering, University Roma La Sapienza, Roma, Italy

In memory of Professor Gallieno Denardo, ICTP Italy

The similarities between thermal waves and optical waves are discussed. © Anita Publications. All rights reserved.
Doi: 10.54955/AJP.35.1-3.2026.9-13
Keywords:Optical waves, Thermal waves, Temperature distribution, Heat Transport.

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Method: Single- anonymous; Screened for Plagiarism? Yes
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References

1. (a) A J Angstrom, Neue Methode, das Wärmeleitungsvermögen der Körper zu bestimmen, Ann Physik Lpz, 114(1861)513–530. (b) A J Angstrom. XVII. New method of determining the thermal conductibility of bodies, Phil Mag, 25(1863)130–142.
2. Kelvin L, Trans Roy Soc Edinburg, 22(1861)22.
3. J B Fourier, La Theorie Analytique de la Chaleur, Paris 1822, reproduit by Jaques Gabay, 1988.
4. (a) H S Carslaw, J C Jaeger, Conduction of Heat in Solids, (Oxford University Press, London), 1959. (b) Morse, P M, Feshbach H, Methods of Theoretical Physics, (McGraw-Hill, New York), 1953.
5. (a) Rosencwaig A, The Generation of Sound Aperiodically Illuminated Solid, an Effect First Discovered 1881, is now being Used to Study the Properties of Materials not …, Phys Today, 28(1975)23; (b) A Rosencwaig, A Gersho, Theory of the photoacoustic effect with solids, J Appl Phys, 47(1976)64–69.
6. (a) Boccara A C, Fournier D, Badoz, Thermo–optical spectroscopy: Detection by the ”mirage effect”, Appl Phys Lett. 36(1980)130–132.(b) Fournier D, Boccara A C, Amer N M, Gerlach R, Sensitive in situ trace-gas detection by photothermal deflection spectroscopy, Appl Phys Lett, 37(1980)519–521. (c) M Bertolotti, Liakhou G L, Voti R L, Paoloni S, Sibilia C, Analysis of the photothermal deflection technique in the surface reflection scheme: Theory and experiment, J Appl Phys, 83(1998)966–982.
7. (a) Joseph D D, Preziosi L, Rev Mod Phys, 61(1989)41. (b) Joseph D D, Preziosi L, Addendum to the paper “Heat waves”, Rev Mod Phys, 62(1990)375.
8. See for ex. E Marin, On thermal waves, Eur J Phys, 34(2013)L83–L85.
9. (a) M N Ozisik, Vick B, Propagation and reflection of thermal waves in a finite medium,J Heat Mass Trans, 27(1984)1845–1854; (b) Nie B D, B Y Cao B Y, Reflection and refraction of a thermal wave at an ideal interface, J Heat Mass Trans,116(2018)314–328; (c) Bertolotti M, Liakhou G L, Voti R L, Paoloni S, Sibilia C,Thermal wave reflection and refraction: Theoretical and experimental evidence, J Appl Phys, 85(1999)3540–3545. (d) Voti R L, Bertolotti M, Int J Heat Mass Transf, 176(2021)121098 (e) Bennet C A (Jr), Patty R R, Thermal wave interferometry: a potential application of the photoacoustic effect, Appl Phys, 21(1982)49–54.
10. Maxwell J C, On the dynamic theory of gases, Phil Trans Soc, 157(1867)49.
11. Cattaneo C, Sulla Conduzione del Calore vol.3 p.83, Atti del Seminar. Fis. Univ. Modena, 1958 ; Comptes Rendus Acad Scie, Paris, 247(1958)431.
12. Vernotte P, Comptes Rendus Acad. Scie, Paris, 246(1958)3145.
13. Gandolfi M, Benetti G, Glorieux C, Giannetti C, Banfi F, Int J Heat Mass Transf, 143(2019)118553.
14. In the equations β = (iω/D) ^1//2 = (2i)^1/2/m = (1+ i)/m, because (2i)^1/2 = (1+ i) and µ is defined in Eq (18).
15. (a) Tzou D Y, On the Thermal Shock Wave Induced by a Moving Heat Source, ASME J Heat Transfer, 111(1989)232–238; (b) D Y Tzou, Shock wave formation around a moving heat source in a solid with finite speed of heat propagation, Int J Heat Mass Transf, 32 (1989)1979–1987.
16. (a) Tzou D Y, Thermal shock waves induced by a moving crack—a heat flux formulation, Int J Heat Mass Transf, 33(1990)877–885. (b) D Y Tzou, Thermal shock waves induced by a moving crack, J Heat Transf, 112(1990)21–27.
17. Salazar A, Energy propagation of thermal waves, Eur J Phys, 27(2006)1349;iop.org/0143-0807/27/6/009.
18. Ordonez-Miranda J, Phys Rev Appl, 21(2024)054037; org/10.1103/PhysRevApplied.21.054037.