Reconstruction of Absorption and Scattering Coefficients in a One-Dimensional Parallel Plane Variable Index Media

An W, Ruan LM, Qi H (2007a) Inverse radiation problem in one-dimensional slab by time-resolved reflected and transmitted signals. J Quant Spectrosc Radiat Transf 107:47–60. https://doi.org/10.1016/j.jqsrt.2006.12.009

An W, Ruan LM, Tan HP et al (2007b) Finite element simulation for short pulse light radiative transfer in homogeneous and nonhomogeneous media. J Heat Transf 129:353–362. https://doi.org/10.1115/1.2430720

Boulanger J, Charette A (2005a) Numerical developments for short-pulsed Near Infra-Red laser spectroscopy. Part I: direct treatment. J Quant Spectrosc Radiat Transf 91:189–209. https://doi.org/10.1016/J.JQSRT.2004.05.057

Boulanger J, Charette A (2005b) Numerical developments for short-pulsed Near Infra-Red laser spectroscopy. Part II: inverse treatment. J Quant Spectrosc Radiat Transf 91:297–318. https://doi.org/10.1016/j.jqsrt.2004.05.062

Brewster MQ, Yamada Y (1995) Optical properties of thick, turbid media from picosecond time-resolved light scattering measurements. Int J Heat Mass Transf 38:2569–2581. https://doi.org/10.1016/0017-9310(95)00013-Y

Chai JC (2003) One-dimensional transient radiation heat transfer modeling using a finite-volume method. Numer Heat Transf Part B Fundam 44:187–208. https://doi.org/10.1080/713836346

Chai JC, Hsu PF, Lam YC (2004) Three-dimensional transient radiative transfer modeling using the finite-volume method. J Quant Spectrosc Radiat Transf 86:299–313. https://doi.org/10.1016/j.jqsrt.2003.08.008

Cheng Q, Zhou HC, Huang ZF et al (2008) The solution of transient radiative transfer with collimated incident serial pulse in a plane-parallel medium by the DRESOR method. J Heat Transf. https://doi.org/10.1115/1.2945906

Dehghanian A, Sarvari SMH (2020a) Transient radiative transfer in variable index media using the discrete transfer method. J Quant Spectrosc Radiat Transf 255:107259. https://doi.org/10.1016/j.jqsrt.2020.107259

Dehghanian A, Sarvari SMH (2020b) Transient radiative transfer in semi-transparent slab with arbitrary refractive index and collimated irradiation. Int Commun Heat Mass Transf 117:104731. https://doi.org/10.1016/j.icheatmasstransfer.2020.104731

Elaloufi R, Carminati R, Greffet J-J (2002) Time-dependent transport through scattering media: from radiative transfer to diffusion. J Opt A Pure Appl Opt 4:S103. https://doi.org/10.1088/1464-4258/4/5/355

Gibson AP, Hebden JC, Arridge SR (2005) Recent advances in diffuse optical imaging. Phys Med Biol 50:R1. https://doi.org/10.1088/0031-9155/50/4/R01

Guo Z, Kumar S (2001) Discrete-ordinates solution of short-pulsed laser transport in two-dimensional turbid media. Appl Opt 40:3156. https://doi.org/10.1364/AO.40.003156

Guo Z, Kumar S, San KC (2000) Multidimensional Monte Carlo simulation of short-pulse laser transport in scattering media. J Thermophys Heat Transf 14:504–511. https://doi.org/10.2514/2.6573

Guo Z, Aber J, Garetz BA, Kumar S (2002) Monte Carlo simulation and experiments of pulsed radiative transfer. J Quant Spectrosc Radiat Transf 73:159–168. https://doi.org/10.1016/S0022-4073(01)00203-5

Hosseini Sarvari SM (2015) Inverse reconstruction of path-length κ-distribution in a plane-parallel radiative medium. Numer Heat Transf Part A Appl 68:336–354. https://doi.org/10.1080/10407782.2014.985999

Kaipio J, Somersalo E (2007) Statistical inverse problems: Discretization, model reduction and inverse crimes. J Comput Appl Math 198:493–504. https://doi.org/10.1016/j.cam.2005.09.027

Katika KM, Pilon L (2006) Modified method of characteristics in transient radiation transfer. J Quant Spectrosc Radiat Transf 98:220–237. https://doi.org/10.1016/j.jqsrt.2005.05.086

Khayyam S, Hosseini Sarvari SM (2018) Inverse estimation of thermal properties in a semitransparent graded index medium with radiation-conduction heat transfer. J Heat Transf. https://doi.org/10.1115/1.4039992

Kim HK, Charette A (2007) Frequency domain optical tomography using a conjugate gradient method without line search. J Quant Spectrosc Radiat Transf 104:248–256. https://doi.org/10.1016/j.jqsrt.2006.07.021

Klose AD, Hielscher AH (1999) Iterative reconstruction scheme for optical tomography based on the equation of radiative transfer. Med Phys 26:1698–1707. https://doi.org/10.1118/1.598661

Klose AD, Hielscher AH (2002) Optical tomography using the time-independent equation of radiative transfer-Part 2: Inverse model. J Quant Spectrosc Radiat Transf 72:715–732. https://doi.org/10.1016/S0022-4073(01)00151-0

Liu LH, Hsu PF (2007) Analysis of transient radiative transfer in semitransparent graded index medium. J Quant Spectrosc Radiat Transf 105:357–376. https://doi.org/10.1016/j.jqsrt.2006.12.003

Marin M, Asllanaj F, Maillet D (2014) Sensitivity analysis to optical properties of biological tissues subjected to a short-pulsed laser using the time-dependent radiative transfer equation. J Quant Spectrosc Radiat Transf 133:117–127. https://doi.org/10.1016/j.jqsrt.2013.07.022

Mishra SC, Chugh P, Kumar P, Mitra K (2006a) Development and comparison of the DTM, the DOM and the FVM formulations for the short-pulse laser transport through a participating medium. Int J Heat Mass Transf 49:1820–1832. https://doi.org/10.1016/j.ijheatmasstransfer.2005.10.043

Mishra SC, Roy HK, Misra N (2006b) Discrete ordinate method with a new and a simple quadrature scheme. J Quant Spectrosc Radiat Transf 101:249–262. https://doi.org/10.1016/j.jqsrt.2005.11.018

Mitra K, Kumar S (1999) Development and comparison of models for light-pulse transport through scattering–absorbing media. Appl Opt 38:188. https://doi.org/10.1364/ao.38.000188

Ozisik M, Orlande H, Kassab A (2002) Inverse heat transfer: fundamentals and applications. Appl Mech Rev 55:B18–B19. https://doi.org/10.1115/1.1445337

Qi H, Ruan LM, Zhang HC et al (2007) Inverse radiation analysis of a one-dimensional participating slab by stochastic particle swarm optimizer algorithm. Int J Therm Sci 46:649–661. https://doi.org/10.1016/j.ijthermalsci.2006.10.002

Qi H, Wang DL, Wang SG, Ruan LM (2011) Inverse transient radiation analysis in one-dimensional non-homogeneous participating slabs using particle swarm optimization algorithms. J Quant Spectrosc Radiat Transf 112:2507–2519. https://doi.org/10.1016/j.jqsrt.2011.06.013

Qi H, Ren Y-T, Chen Q, Ruan L-M (2015) Fast method of retrieving the asymmetry factor and scattering albedo from the maximum time-resolved reflectance of participating media. Appl Opt 54:5234. https://doi.org/10.1364/ao.54.005234

Qi H, Zhao FZ, Ren YT et al (2019) Experimental research on noninvasive reconstruction of optical parameter fields based on transient radiative transfer equation for diagnosis applications. J Quant Spectrosc Radiat Transf 222–223:1–11. https://doi.org/10.1016/j.jqsrt.2018.09.032

Qi H, Shi J-W, Ruan L-M, et al (2016) Application of the sequential quadratic programming algorithm for reconstructing the distribution of optical parameters based on the time-domain radiative transfer equation. Opt Express 24(21):24297–24312 24:24297–24312. https://doi.org/10.1364/OE.24.024297

Qiao Y, Qi H, Chen Q et al (2015) Multi-start iterative reconstruction of the radiative parameter distributions in participating media based on the transient radiative transfer equation. Opt Commun 351:75–84. https://doi.org/10.1016/j.optcom.2015.04.048

Qiao Y, Qi H, Chen Q et al (2016) An efficient and robust reconstruction method for optical tomography with the time-domain radiative transfer equation. Opt Lasers Eng 78:155–164. https://doi.org/10.1016/j.optlaseng.2015.10.011

Qiao YB, Qi H, Zhao FZ, Ruan LM (2016) Accurate reconstruction of the optical parameter distribution in participating medium based on the frequency-domain radiative transfer equation. Chin Phys B 25:120201. https://doi.org/10.1088/1674-1056/25/12/120201

Sarvari SMH (2017) Variable discrete ordinates method for radiation transfer in plane-parallel semi-transparent media with variable refractive index. J Quant Spectrosc Radiat Transf 199:36–44. https://doi.org/10.1016/j.jqsrt.2017.05.018

Sun S, Qi H, Zhang W et al (2018) Combined lock-in thermography and SQP algorithm for non-intrusive reconstruction of optical and thermal properties in semitransparent medium. Int J Therm Sci 132:446–456. https://doi.org/10.1016/j.ijthermalsci.2018.06.009

Wang JM, Wu CY (2010) Transient radiative transfer in a scattering slab with variable refractive index and diffuse substrate. Int J Heat Mass Transf 53:3799–3806. https://doi.org/10.1016/j.ijheatmasstransfer.2010.04.032

Wang JM, Wu CY (2011) Second-order-accurate discrete ordinates solutions of transient radiative transfer in a scattering slab with variable refractive index. Int Commun Heat Mass Transf 38:1213–1218. https://doi.org/10.1016/j.icheatmasstransfer.2011.06.015

Wang Z, Cheng Q, Zhou H (2013) The DRESOR method for transient radiation transfer in 1-D graded index medium with pulse irradiation. Int J Therm Sci 68:127–135. https://doi.org/10.1016/j.ijthermalsci.2013.01.006

Wang CH, Ai Q, Yi HL, Tan HP (2015) Transient radiative transfer in a graded index medium with specularly reflecting surfaces. Numer Heat Transf Part A Appl 67:1232–1252. https://doi.org/10.1080/10407782.2014.965060

Wang CH, Zhang Y, Yi HL, Tan HP (2016) Transient radiative transfer in two-dimensional graded index medium by Monte Carlo method combined with the time shift and superposition principle. Numer Heat Transf Part A Appl 69:574–588. https://doi.org/10.1080/10407782.2015.1090236

Wang C-H, Zhang Y, Yi H-L, Xie M (2017) Analysis of transient radiative transfer induced by an incident short-pulsed laser in a graded-index medium with Fresnel boundaries. Appl Opt 56:1861. https://doi.org/10.1364/AO.56.001861

Wei LY, Qi H, Ren YT et al (2018) Application of hybrid SPSO-SQP algorithm for simultaneous estimation of space-dependent absorption coefficient and scattering coefficient fields in participating media. Int J Therm Sci 124:424–432. https://doi.org/10.1016/j.ijthermalsci.2017.10.031

Wei LY, Qi H, Zhang XL et al (2019) Reconstruction of radiative properties fields in participating media by using the sequential quadratic programing combined with regularization technique. J Heat Transfer. https://doi.org/10.1115/1.4041831

Wu CY (2009) Monte Carlo simulation of transient radiative transfer in a medium with a variable refractive index. Int J Heat Mass Transf 52:4151–4159. https://doi.org/10.1016/j.ijheatmasstransfer.2009.04.012

Zhang B, Qi H, Ren YT et al (2014) Inverse transient radiation analysis in one-dimensional participating slab using improved Ant Colony Optimization algorithms. J Quant Spectrosc Radiat Transf 133:351–363. https://doi.org/10.1016/j.jqsrt.2013.08.020