614
Views
4
CrossRef citations to date
0
Altmetric
Research Article

Inverse heat transfer analysis to determine the temperature or phase change-dependent refractive index of semitransparent materials

, , , &
Pages 586-608 | Received 25 Sep 2019, Accepted 11 Jul 2020, Published online: 31 Jul 2020

References

  • Dehghani H, Brooksby B, Vishwanath K, et al. The effects of internal refractive index variation in near-infrared optical tomography: a finite element modelling approach. Phys Med Biol. 2003;48:2713–2727. doi: 10.1088/0031-9155/48/16/310
  • Ampem-Lassen E, Huntington ST, Dragomir NM, et al. Refractive index profiling of axially symmetric optical fibers: a new technique. Opt Express. 2005;13:3277–3282. doi: 10.1364/OPEX.13.003277
  • Dragomir NM, Ampem-Lassen E, Huntington ST, et al. Refractive index profiling of optical fibers using differential interference contrast microscopy. IEEE Photonics Technol Lett. 2005;17:2149–2151. doi: 10.1109/LPT.2005.854419
  • Manjappa R, Makki SS, Kumar R, et al. Effects of refractive index mismatch in optical CT imaging of polymer gel dosimeters. Med Phys. 2015;42:750–759. doi: 10.1118/1.4905043
  • Kokkinos T, Adve RS, Sarris CD. Spectral analysis of negative refractive index metamaterials utilizing signal processing techniques and time-domain simulations. New York: IEEE; 2005.
  • Gharagheizi F, Ilani-Kashkouli P, Kamari A, et al. A chemical structure based model for the estimation of refractive indices of organic compounds. Fluid Phase Equilib. 2014;384:1–13. doi: 10.1016/j.fluid.2014.10.005
  • Gouveia ASL, Tome LC, Marrucho IM. Density, viscosity, and refractive index of Ionic liquid mixtures containing cyano and amino acid-based anions. J Chem Eng Data. 2016;61:83–93. doi: 10.1021/acs.jced.5b00242
  • Abdallah PB. Propagation of light inside shear flows: a remote sensing method to retrieve velocity fields. J Quant Spectrosc Radiat Transf. 2002;73:1–11. doi: 10.1016/S0022-4073(01)00164-9
  • Dong SK, Tan HP, He ZH, et al. Numerical simulation of visible and infrared radiation properties of hypersonic reentry bodies. J Infrared Millim Waves. 2002;21:180–184.
  • Greisukh GI. Design of optical systems with diffractive and gradient-index elements. Proc SPIE-Int Soc Opt Eng. 1993;1732:341–348.
  • Meier GEA. Computerized background-oriented schlieren. Exp Fluids. 2002;33:181–187. doi: 10.1007/s00348-002-0450-7
  • Furumoto JI, Tsuda T, Iwai S, et al. Continuous humidity monitoring in a tropical region with the equatorial atmosphere radar. J Atmos Ocean Tech. 2006;23:538. doi: 10.1175/JTECH1868.1
  • Siegel R, Spuckler CM. Variable refractive index effects on radiation in semitransparent scattering multilayered regions. J Thermophys Head Trans. 1993;7:624–630. doi: 10.2514/3.470
  • Abdallah PB, Dez VL. Temperature field inside an absorbing–emitting semi-transparent slab at radiative equilibrium with variable spatial refractive index. J Quant Spectrosc Radiat Transf. 2000;65:595–608. doi: 10.1016/S0022-4073(99)00111-9
  • Abdallah PB, Dez VL. Radiative flux field inside an absorbing–emitting semi-transparent slab with variable spatial refractive index at radiative conductive coupling. J Quant Spectrosc Radiat Transf. 2000;67:125–137. doi: 10.1016/S0022-4073(99)00200-9
  • Xia XL, Ren DP, Tan HP. A curve Monte Carlo method for radiative heat transfer in absorbing and scattering gradient-index medium. Numeric Heat Trans Part B-Fund. 2006;50:181–192. doi: 10.1080/10407790500459387
  • Liu LH. Finite element solution of radiative transfer across a slab with variable spatial refractive index. Int J Heat Mass Transf. 2005;48:2260–2265. doi: 10.1016/j.ijheatmasstransfer.2004.12.045
  • Wei LY, Qi H, Ren YT, et al. Multi-parameter estimation in semitransparent graded-index media based on coupled optical and thermal information. Int J Therm Sci. 2017;113:116–129. doi: 10.1016/j.ijthermalsci.2016.11.018
  • Zhao JM, Liu LH. Solution of radiative heat transfer in graded index media by least square spectral element method. Int J Heat Mass Transf. 2007;50:2634–2642. doi: 10.1016/j.ijheatmasstransfer.2006.11.032
  • Zhang Y, Zhou P-C, Ma Y, et al. Transient radiative transfer in a graded index slab with Fresnel surfaces. J Thermophys Heat Transfer. 2016;30:513–522. doi: 10.2514/1.T4766
  • Lemonnier D, Dez VL. Discrete ordinates solution of radiative transfer across a slab with variable refractive index. J Quant Spectrosc Radiat Transf. 2002;73:195–204. doi: 10.1016/S0022-4073(01)00222-9
  • Sarvari SMH. Variable discrete ordinates method for radiation transfer in plane-parallel semi-transparent media with variable refractive index. J Quant Spectrosc Radiat Transf. 2017;199:36–44. doi: 10.1016/j.jqsrt.2017.05.018
  • Liu LH. Finite volume method for radiation heat transfer in graded index medium. J Thermophys Heat Transfer. 2006;20:59–66. doi: 10.2514/1.12459
  • Wang Z, Cheng Q, Wang G, et al. The DRESOR method for radiative heat transfer in a one-dimensional medium with variable refractive index. J Quant Spectrosc Radiat Transf. 2011;112:2835–2845. doi: 10.1016/j.jqsrt.2011.08.013
  • Wang Z, Cheng Q, Zhou H. The DRESOR method for transient radiation transfer in 1-D graded index medium with pulse irradiation. Int J Therm Sci. 2013;68:127–135. doi: 10.1016/j.ijthermalsci.2013.01.006
  • Chai JL, Cheng Q, Song JL, et al. The DRESOR method for one-dimensional transient radiative transfer in graded index medium coupled with BRDF surface. Int J Therm Sci. 2015;91:96–104. doi: 10.1016/j.ijthermalsci.2014.12.024
  • Cheng Q, Zhang X, Huang Z, et al. The DRESOR method for radiative heat transfer in semitransparent graded index cylindrical medium. J Quant Spectrosc Radiat Transf. 2014;143:16–24. doi: 10.1016/j.jqsrt.2014.01.027
  • Teichman JA. Measurement of gradient index materials by beam deflection, displacement, or mode conversion. Opt Eng. 2013;52:112112. doi: 10.1117/1.OE.52.11.112112
  • Tian C, Yang YY, Zhuo YM, et al. Tomographic reconstruction of three-dimensional refractive index fields by use of a regularized phase-tracking technique and a polynomial approximation method. Appl Opt. 2011;50:6495–6504. doi: 10.1364/AO.50.006495
  • Lin D, Leger JR, Kunkel M, et al. One-dimensional gradient-index metrology based on ray slope measurements using a bootstrap algorithm. Opt Eng. 2013;52:112108. doi: 10.1117/1.OE.52.11.112108
  • Lin D, Teichman J, Leger JR. Deflectometry for measuring inhomogeneous refractive index fields in two-dimensional gradient-index elements. J Opt Soc Am a-Opt Image Sci Vis. 2015;32:991–1002. doi: 10.1364/JOSAA.32.000991
  • Lin D, Leger JR. Retrieval of refractive index fields in two-dimensional gradient-index elements from external deflectometry data. J Opt Soc Am a-Opt Image Sci Vis. 2016;33:396–403. doi: 10.1364/JOSAA.33.000396
  • Wei LY, Qi H, Ren YT, et al. Application of stochastic particle swarm optimization algorithm to determine the graded refractive index distribution in participating media. Infrared Phys Technol. 2016;79:74–84. doi: 10.1016/j.infrared.2016.07.024
  • Wei LY, Qi H, Sadaf AI, et al. Simultaneous measurement of space-dependent refractive index and absorption coefficient based on a laser irradiation technique. Meas Sci Technol. 2018;29:13. doi: 10.1088/1361-6501/aad931
  • Tyszkiewicz C, Pustelny T, Nowinowski-Kruszelnicki E. The influence of magnetic field on refractive index profile of ferronematic cell. European Phys J-Spec Top. 2008;154:221–224. doi: 10.1140/epjst/e2008-00549-6
  • Chopade R, Agnihotri E, Singh AK, et al. Application of a particle swarm algorithm for parameter retrieval in a transient conduction-radiation problem. Numer Heat Transf. 2011;59:672–692. doi: 10.1080/10407782.2011.572755
  • Qi H, Niu C-Y, Gong S, et al. Application of the hybrid particle swarm optimization algorithms for simultaneous estimation of multi-parameters in a transient conduction-radiation problem. Int J Heat Mass Transf. 2015;83:428–440. doi: 10.1016/j.ijheatmasstransfer.2014.12.022
  • Gosselin L, Tye-Gingras M, Mathieu-Potvin F. Review of utilization of genetic algorithms in heat transfer problems. Int J Heat Mass Transf. 2009;52:2169–2188. doi: 10.1016/j.ijheatmasstransfer.2008.11.015
  • Zhang B, Qi H, Sun SC, et al. Solving inverse problems of radiative heat transfer and phase change in semitransparent medium by using improved Quantum particle swarm optimization. Int J Heat Mass Trans. 2015;85:300–310. doi: 10.1016/j.ijheatmasstransfer.2015.01.140
  • Lobato FS, Steffen V, Neto AJS. Estimation of space-dependent single scattering albedo in a radiative transfer problem using differential evolution. Inverse Probl Sci Eng. 2012;20:1043–1055. doi: 10.1080/17415977.2012.691881
  • Galski RL, de Sousa FL, Ramos FM, et al. Application of a GEO plus SA hybrid optimization algorithm to the solution of an inverse radiative transfer problem. Inverse Probl Sci Eng. 2009;17:321–334. doi: 10.1080/17415970802082690
  • Cui Z, Zeng J, Cai X. A new stochastic particle swarm optimizer. 2004: Publisher.
  • Yuan Y, Yi HL, Shuai Y, et al. Inverse problem for aerosol particle size distribution using SPSO associated with multi-lognormal distribution model. Atmos Environ. 2011;45:4892–4897. doi: 10.1016/j.atmosenv.2011.06.010
  • Sun YP. Simultaneous reconstruction of temperature and Soot volume fraction in Ethylene Flame using SPSO method. J Eng Thermophys. 2011;32:847–850.
  • Wang Y, Wang D, Zhong X, et al. Inverse problem of absorption coefficients for one-dimensional non-uniform medium. In: Ran C, Yang G, editors. Ceis 2011. Procedia Eng. 2011;15:3901–3905.
  • Zhang Z, Qie Z, Zhou Z, et al. The inverse calculation of roughness coefficient in village and county circular pipe network based on Stochastic Particle Swarm Optimization. 2008: Publisher.
  • Ruan ZH, Yuan Y, Zhang XX, et al. Determination of optical properties and thickness of optical thin film using stochastic particle swarm optimization. Sol Energy. 2016;127:147–158. doi: 10.1016/j.solener.2016.01.027
  • Yuan Y, Yi HL, Shuai Y, et al. Inverse problem for particle size distributions of atmospheric aerosols using stochastic particle swarm optimization. J Quant Spectrosc Radiat Transf. 2010;111:2106–2114. doi: 10.1016/j.jqsrt.2010.03.019
  • Ren Y, Qi H, Zhao F, et al. Simultaneous retrieval of temperature-dependent absorption coefficient and conductivity of participating media. Sci Rep. 2016;6:21998. doi: 10.1038/srep21998
  • Qi H, Ruan LM, Zhang HC, et al. Inverse radiation analysis of a one-dimensional participating slab by stochastic particle swarm optimizer algorithm. Int J Therm Sci. 2007;46:649–661. doi: 10.1016/j.ijthermalsci.2006.10.002
  • Wang DL, Qi H, Ruan LM. Retrieve properties of participating media by different spans of radiative signals using the SPSO algorithm. Inverse Probl Sci Eng. 2013;21:888–915. doi: 10.1080/17415977.2013.804520
  • Tan HP, Ruan LM, Tong TW. Temperature response in absorbing, isotropic scattering medium caused by laser pulse. Int J Heat Mass Trans. 2000;43:311–320. doi: 10.1016/S0017-9310(99)00131-3
  • Liu LH, Tan HP. Transient temperature response in semitransparent variable refractive index medium subjected to a pulse irradiation. J Quant Spectrosc Radiat Transf. 2004;83:333–344. doi: 10.1016/S0022-4073(02)00361-8
  • Sun SC, Qi H, Yu XY, et al. Inverse identification of temperature-dependent thermal properties using improved Krill Herd algorithm. Int J Thermophys. 2018;39:21. doi: 10.1007/s10765-017-2343-2
  • Raj R, Prasad A, Parida PR, et al. Analysis of solidification of a semitransparent planar layer using the lattice Boltzmann method and the discrete transfer method. Numeric Heat Trans Part A-Appl. 2006;49:279–299. doi: 10.1080/10407780500359828
  • Wang ZC, Song JL, Chai JL, et al. The effect of BRDF surface on radiative heat transfer within a one-dimensional graded index medium. J Eng Thermophys. 2014;77:116–125.
  • Wei LY, Qi H, Niu ZT, et al. Reverse Monte Carlo coupled with Runge-Kutta ray tracing method for radiative heat transfer in graded-index media. Infrared Phys Technol. 2019;99:5–13. doi: 10.1016/j.infrared.2019.04.002
  • Kenisarin M, Mahkamov K. Solar energy storage using phase change materials. Renewable Sustainable Energy Rev. 2007;11:1913–1965. doi: 10.1016/j.rser.2006.05.005
  • Onuma K. Recent research on pseudobiological hydroxyapatite crystal growth and phase transition mechanisms. Prog Cryst Growth Charact Mater. 2006;52:223–245. doi: 10.1016/j.pcrysgrow.2006.06.003
  • Hu R, Han J, Feng G, et al. Study on the phase transition of fracture region of laser induced damage in fused glass by focused nanosecond pulse. Optik – Int J Light Electron Opt. 2017;140:427–433. doi: 10.1016/j.ijleo.2017.02.053
  • Zhang YJ, Su GH, Yang XB, et al. Theoretical research on two-phase flow instability in parallel channels. Nuc EngDesign. 2009;239:1294–1303. doi: 10.1016/j.nucengdes.2009.02.018
  • Li JF, Li L, Stott FH. A three-dimensional numerical model for a convection-diffusion phase change process during laser melting of ceramic materials. Int J Heat Mass Transf. 2004;47:5523–5539. doi: 10.1016/j.ijheatmasstransfer.2004.07.024

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.