Skip to main content
Top
Published in: Lasers in Medical Science 4/2011

01-07-2011 | Original Article

Study of short-pulse laser propagation in biological tissue by means of the boundary element method

Authors: Mohammad Ali Ansari, Reza Massudi

Published in: Lasers in Medical Science | Issue 4/2011

Login to get access

Abstract

Propagation of short pulses of light through biological tissues can be studied by numerically solving the diffusion equation. The boundary integral method was used to convert the differential equation to integral form and the result was solved using the boundary element method. The effects of different optical parameters of the tissue, i.e. scattering, absorption coefficients and anisotropic factor, on temporal evolution of the diffusely reflected pulse were studied. The results were compared with those obtained using the finite difference time domain method and the boundary integral method was found to be more precise and faster than the last method. The method can be used to investigate reflected pulses in the study of cell morphology and tumours in different types of tissue.
Literature
1.
go back to reference Kuz’min VL, Romanov VP, Kozhevnikov SV, Meglinskii IV (2006) Simulation of the propagation of a light pulse in a randomly inhomogeneous medium. Opt Spectrosc 100:767–775CrossRef Kuz’min VL, Romanov VP, Kozhevnikov SV, Meglinskii IV (2006) Simulation of the propagation of a light pulse in a randomly inhomogeneous medium. Opt Spectrosc 100:767–775CrossRef
2.
go back to reference Liu F, Yoo KM, Alfano RR (1993) Ultrafast laser-pulse transmission and imaging through biological tissues. Appl Opt 32:554–558PubMedCrossRef Liu F, Yoo KM, Alfano RR (1993) Ultrafast laser-pulse transmission and imaging through biological tissues. Appl Opt 32:554–558PubMedCrossRef
3.
go back to reference Sakami M, Mitra K, Vo-Dinh T (2002) Analysis of short- pulse laser photon transport through tissues for optical tomography. Opt Lett 27:336–338PubMedCrossRef Sakami M, Mitra K, Vo-Dinh T (2002) Analysis of short- pulse laser photon transport through tissues for optical tomography. Opt Lett 27:336–338PubMedCrossRef
4.
go back to reference Braun M, Gilch P, Zinth W (2007) Ultrashort laser pulses in biology and medicine. Springer, New York Braun M, Gilch P, Zinth W (2007) Ultrashort laser pulses in biology and medicine. Springer, New York
5.
go back to reference Alerstam E, Andersson-Engels S, Svensson T (2008) Improved accuracy in time-domain diffuse reflectance spectroscopy. Opt Express 16:10440–10454PubMedCrossRef Alerstam E, Andersson-Engels S, Svensson T (2008) Improved accuracy in time-domain diffuse reflectance spectroscopy. Opt Express 16:10440–10454PubMedCrossRef
6.
go back to reference Martelli F, Sassarolli A, Del Bianco S, Zaccanti G (2007) Solution of time-dependent diffuse equation for a three-layer medium: application to study photon migration through a simplified adult head model. Phys Med Biol 52:2827–2843PubMedCrossRef Martelli F, Sassarolli A, Del Bianco S, Zaccanti G (2007) Solution of time-dependent diffuse equation for a three-layer medium: application to study photon migration through a simplified adult head model. Phys Med Biol 52:2827–2843PubMedCrossRef
7.
go back to reference Guo Z, Kumar S (2000) Equitant isotropic scattering formulation for transient short-pulse radiative transfer in anisotropic scattering planar media. Appl Opt 39:4411–4417PubMedCrossRef Guo Z, Kumar S (2000) Equitant isotropic scattering formulation for transient short-pulse radiative transfer in anisotropic scattering planar media. Appl Opt 39:4411–4417PubMedCrossRef
8.
go back to reference Pal G, Basu S, Mitra K, Vo-Dinh T (2006) Time-resolved optical tomography using short pulse laser for tumour detection. Appl Opt 45:6270–6282PubMed Pal G, Basu S, Mitra K, Vo-Dinh T (2006) Time-resolved optical tomography using short pulse laser for tumour detection. Appl Opt 45:6270–6282PubMed
9.
go back to reference Chai JC (2003) Transient photon transport in turbid media with an irregularly shaped foreign object. Opt Rev 10:609–610CrossRef Chai JC (2003) Transient photon transport in turbid media with an irregularly shaped foreign object. Opt Rev 10:609–610CrossRef
10.
go back to reference Das C, Trivedi A, Mitra K, Vo-Dinh T (2003) Short pulse laser propagation through tissues for biomedical imaging. J Phys D Appl Phys 38:1714–1721CrossRef Das C, Trivedi A, Mitra K, Vo-Dinh T (2003) Short pulse laser propagation through tissues for biomedical imaging. J Phys D Appl Phys 38:1714–1721CrossRef
11.
go back to reference Mitra K, Kumar S (1999) Development and comparison of models for light pulse transport through scattering absorbing media. Appl Opt 38:188–196PubMedCrossRef Mitra K, Kumar S (1999) Development and comparison of models for light pulse transport through scattering absorbing media. Appl Opt 38:188–196PubMedCrossRef
12.
go back to reference Hall DJ, Hebden JC, Deply DT (1997) Imaging very-low-contrast objects in breast like scattering media with a time resolved method. Appl Opt 36:7270–7276PubMedCrossRef Hall DJ, Hebden JC, Deply DT (1997) Imaging very-low-contrast objects in breast like scattering media with a time resolved method. Appl Opt 36:7270–7276PubMedCrossRef
13.
go back to reference Yoo KM, Alfano RR (1990) Time resolved coherent and incoherent component of forward light scattering in random media. Opt Lett 15:320–322PubMedCrossRef Yoo KM, Alfano RR (1990) Time resolved coherent and incoherent component of forward light scattering in random media. Opt Lett 15:320–322PubMedCrossRef
14.
go back to reference Trivedi A, Basu S, Mitra K (2005) Temporal analysis of reflected optical signal for short pulse laser interaction with non-homogeneous tissue phantom. J Quant Spectrosc Radiat Transfer 93:337–348CrossRef Trivedi A, Basu S, Mitra K (2005) Temporal analysis of reflected optical signal for short pulse laser interaction with non-homogeneous tissue phantom. J Quant Spectrosc Radiat Transfer 93:337–348CrossRef
15.
go back to reference Hopen CY (1999) Optical pulse propagation through a slab of random medium. Waves Random Media 9:551–560CrossRef Hopen CY (1999) Optical pulse propagation through a slab of random medium. Waves Random Media 9:551–560CrossRef
16.
go back to reference Boas D, Culver J, Stott J, Dunn A (2002) Three dimensional Monte Carlo code for photon migration through complex heterogeneous media including the adult human head. Opt Express 10:159–170PubMed Boas D, Culver J, Stott J, Dunn A (2002) Three dimensional Monte Carlo code for photon migration through complex heterogeneous media including the adult human head. Opt Express 10:159–170PubMed
17.
go back to reference Berrocal E, Meglinski I, Jermy M (2005) New model for light propagation in highly inhomogeneous polydisperse turbid media with applications in spray diagnostics. Opt Express 13:9181–9195PubMedCrossRef Berrocal E, Meglinski I, Jermy M (2005) New model for light propagation in highly inhomogeneous polydisperse turbid media with applications in spray diagnostics. Opt Express 13:9181–9195PubMedCrossRef
18.
go back to reference Berrocal E, Sedarsky DL, Paciaroni ME, Meglinski IV, Linne MA (2009) Laser light scattering in turbid media Part II: Spatial and temporal analysis of individual scattering orders via Monte Carlo simulation. Opt Express 17:13792–13809PubMedCrossRef Berrocal E, Sedarsky DL, Paciaroni ME, Meglinski IV, Linne MA (2009) Laser light scattering in turbid media Part II: Spatial and temporal analysis of individual scattering orders via Monte Carlo simulation. Opt Express 17:13792–13809PubMedCrossRef
19.
go back to reference Handapangoda CC, Premaratne M, Yeo L, Friend J (2008) Laguerre Runge-Kutta-Fehlberg method for simulating laser pulse propagation in biological tissue. IEEE J Sel Top Quantum Electron 14:105–112CrossRef Handapangoda CC, Premaratne M, Yeo L, Friend J (2008) Laguerre Runge-Kutta-Fehlberg method for simulating laser pulse propagation in biological tissue. IEEE J Sel Top Quantum Electron 14:105–112CrossRef
20.
go back to reference Wang LV, Wu HI (2007) Biomedical optics: principles and imaging. Wiley-Interscience, New Jersey Wang LV, Wu HI (2007) Biomedical optics: principles and imaging. Wiley-Interscience, New Jersey
21.
go back to reference Hasegawa Y, Yamada Y, Tamura M, Nomura Y (1991) Monte Carlo simulation of light transmission through living tissues. Appl Opt 30:4515–4520PubMedCrossRef Hasegawa Y, Yamada Y, Tamura M, Nomura Y (1991) Monte Carlo simulation of light transmission through living tissues. Appl Opt 30:4515–4520PubMedCrossRef
22.
go back to reference Guo Z, Kumar S, San KC (2000) Multidimensional Monte Carlo simulation of short-pulse laser transport in scattering media. J Thermophys Heat Transfer 14:504–511CrossRef Guo Z, Kumar S, San KC (2000) Multidimensional Monte Carlo simulation of short-pulse laser transport in scattering media. J Thermophys Heat Transfer 14:504–511CrossRef
23.
go back to reference Hielscher AH, Alcouffe RE, Barbour RL (1998) Comparison of finite-difference transport and diffusion calculations for photon migration in homogeneous and heterogeneous tissues. Phys Med Biol 43:1285–1302PubMedCrossRef Hielscher AH, Alcouffe RE, Barbour RL (1998) Comparison of finite-difference transport and diffusion calculations for photon migration in homogeneous and heterogeneous tissues. Phys Med Biol 43:1285–1302PubMedCrossRef
24.
go back to reference Guo Z, Aber J, Garetz BA, Kumar S (2002) Monte Carlo simulation and experiments of pulsed radiative transfer. J Quant Spectrosc Radiat Transfer 73:159–168CrossRef Guo Z, Aber J, Garetz BA, Kumar S (2002) Monte Carlo simulation and experiments of pulsed radiative transfer. J Quant Spectrosc Radiat Transfer 73:159–168CrossRef
25.
go back to reference Guo Z, Kumar S (2001) Discrete-ordinates solution of short-pulsed laser transport in two-dimensional turbid media. Appl Opt 40:3156–3163PubMedCrossRef Guo Z, Kumar S (2001) Discrete-ordinates solution of short-pulsed laser transport in two-dimensional turbid media. Appl Opt 40:3156–3163PubMedCrossRef
26.
go back to reference Tanifuji T, Hijikata M (2002) Finite difference time domain (FDTD) analysis of optical pulse responses in biological tissues for spectroscopic diffused optical tomography. IEEE Trans Med Imaging 21:181–184PubMedCrossRef Tanifuji T, Hijikata M (2002) Finite difference time domain (FDTD) analysis of optical pulse responses in biological tissues for spectroscopic diffused optical tomography. IEEE Trans Med Imaging 21:181–184PubMedCrossRef
27.
go back to reference Ichitsubo K, Tanifuji T (2005) Time-resolved noninvasive optical parameters determination in three-dimensional biological tissue using finite difference time domain analysis with nonuniform grids for diffusion equations, Proceedings of the IEEE Engineering in Medicine and Biology 27th Annual Conference, Shanghai, China, 1–4 September 2005 Ichitsubo K, Tanifuji T (2005) Time-resolved noninvasive optical parameters determination in three-dimensional biological tissue using finite difference time domain analysis with nonuniform grids for diffusion equations, Proceedings of the IEEE Engineering in Medicine and Biology 27th Annual Conference, Shanghai, China, 1–4 September 2005
28.
go back to reference Tanifuji T, Ohtomo T, Ohmari D, Ishikawa T (2005) Time-resolved reflectance of an optical pulse in adult heads based on finite difference time domain (FDTD) analysis. Opt Rev 12:42–45CrossRef Tanifuji T, Ohtomo T, Ohmari D, Ishikawa T (2005) Time-resolved reflectance of an optical pulse in adult heads based on finite difference time domain (FDTD) analysis. Opt Rev 12:42–45CrossRef
29.
go back to reference Paris F, Canas J (1997) Boundary element method: fundamentals and applications. Oxford University Press, Oxford Paris F, Canas J (1997) Boundary element method: fundamentals and applications. Oxford University Press, Oxford
30.
go back to reference Sovizi M, Massudi R (2007) Study of thermal effects, considering birefringence, on phase distortion of beam in a side pumped Nd:YAG rod using BEM. Opt Commun 275:206–212CrossRef Sovizi M, Massudi R (2007) Study of thermal effects, considering birefringence, on phase distortion of beam in a side pumped Nd:YAG rod using BEM. Opt Commun 275:206–212CrossRef
31.
go back to reference Srinivasan S, Pogue BW, Carpenter C, Yalavarthy PK, Paulsen K (2007) A boundary element approach for image-guided near-infrared absorption and scatter estimation. Med Phys 34:4545–4557PubMedCrossRef Srinivasan S, Pogue BW, Carpenter C, Yalavarthy PK, Paulsen K (2007) A boundary element approach for image-guided near-infrared absorption and scatter estimation. Med Phys 34:4545–4557PubMedCrossRef
32.
go back to reference Ansari MA, Massudi R (2009) Study of light propagation in Asian and Caucasian skins by means of the boundary element method. Opt Lasers Eng 47:965–970CrossRef Ansari MA, Massudi R (2009) Study of light propagation in Asian and Caucasian skins by means of the boundary element method. Opt Lasers Eng 47:965–970CrossRef
33.
go back to reference Patterson MS, Chance B, Wilson BC (1989) Time resolved reflectance and transmittance for the noninvasive measurement of tissue optical properties. Appl Opt 28:2331–2336PubMedCrossRef Patterson MS, Chance B, Wilson BC (1989) Time resolved reflectance and transmittance for the noninvasive measurement of tissue optical properties. Appl Opt 28:2331–2336PubMedCrossRef
34.
go back to reference Rath P, Mishra SC, Mahanta P, Saha UK, Mitra K (2003) Discrete transfer method applied to transient radiative transfer problems in participating medium. Numer Heat Transfer A 44:183–197CrossRef Rath P, Mishra SC, Mahanta P, Saha UK, Mitra K (2003) Discrete transfer method applied to transient radiative transfer problems in participating medium. Numer Heat Transfer A 44:183–197CrossRef
35.
go back to reference Okutucu T, Yener Y (2006) Radiative transfer in participating media with collimated short-pulse Gaussian irradiation. J Phys D Appl Phys 39:1976–1983CrossRef Okutucu T, Yener Y (2006) Radiative transfer in participating media with collimated short-pulse Gaussian irradiation. J Phys D Appl Phys 39:1976–1983CrossRef
36.
go back to reference Boulanger J, Charette A (2005) Numerical developments for short-pulsed near infra-red laser spectroscopy. Part I: direct treatment. J Quant Spectrosc Radiat Transfer 91:189–209CrossRef Boulanger J, Charette A (2005) Numerical developments for short-pulsed near infra-red laser spectroscopy. Part I: direct treatment. J Quant Spectrosc Radiat Transfer 91:189–209CrossRef
Metadata
Title
Study of short-pulse laser propagation in biological tissue by means of the boundary element method
Authors
Mohammad Ali Ansari
Reza Massudi
Publication date
01-07-2011
Publisher
Springer-Verlag
Published in
Lasers in Medical Science / Issue 4/2011
Print ISSN: 0268-8921
Electronic ISSN: 1435-604X
DOI
https://doi.org/10.1007/s10103-010-0872-z

Other articles of this Issue 4/2011

Lasers in Medical Science 4/2011 Go to the issue