Analysis of light pulse transport through two-dimensional scattering and absorbing media

Sakami, M.; Mitra, Kunal; Hsu, Pei‐feng

doi:10.1016/s0022-4073(01)00216-3

Cited by 110 publications

(37 citation statements)

References 15 publications

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“…The discrete ordinates method has to be coupled with numerical schemes for divergence calculation and time stepping [26]. In the following, the finite-difference method is used with, as numerical scheme, the piecewise parabolic advection (PPA) TVD scheme [27] already introduced for the numerical treatment of the RTE [28][29][30].…”

Section: Numerical Treatmentmentioning

confidence: 99%

Direct imaging of turbid media using long-time back-scattered photons, a numerical study

Boulanger

Akel²,

Charette³

et al. 2006

International Journal of Thermal Sciences

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Direct imaging is a convenient way to obtain information on the interior of a semi-transparent turbid material by non-invasive probing using laser beams. The major difficulty is linked to scattering which scrambles the directional information coming from the laser beam. It is found in this paper that the long-term multiple-scattered reflected photons may provide structural information on the inside of a material, which offers an interesting alternative to using information only from un-scattered or least-scattered photons as obtained from current direct imaging set-ups for thin media.Based on some observations on a non-homogeneous three layered 1-D slab irradiated by a laser pulse, a direct probing methodology making use of the long-term back-scattered photons is illustrated to recover inclusions positions in a turbid 2-D medium. First, the numerical model is presented. Second, an extended parametrical study is conducted on 1-D homogeneous and non-homogeneous slabs with different laser pulse durations. It is found that the reflected asymptotic logarithmic slope carries information about the presence of the inclusion and that short laser pulses are not necessary since only the decaying parts of the remanent optical signature is important. Longer laser pulses allow a higher level of energy injection and signal to noise ratio. Third, those observations are used for the probing of a 2-D non-homogeneous phantom.

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Section: Numerical Treatmentmentioning

confidence: 99%

Direct imaging of turbid media using long-time back-scattered photons, a numerical study

Boulanger

Akel²,

Charette³

et al. 2006

International Journal of Thermal Sciences

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“…Ainsi, lorsqu'un rayonnement collimaté puisé est dirigé sur un tissu ou un organe biologique absorbant/diffusant, l'évolution temporelle du signal de sortie causée par la diffusion, dépendant de la répartition spatiale dans l'échantillon des propriétés optiques, peut être une source importante d'information [16,17,18], et la résolution du problème inverse correspondant peut permettre de reconstruire une image de l'intérieur du milieu et d'y déceler les imperfections avec une précision accrue par rapport aux méthodes stationnaires. Dans un tel cas, il est primordial de résoudre correctement l'équation de transfert radiatif (ETR) instationnaire.…”

Section: Mise En Garde/adviceunclassified

Étude du rayonnement transitoire unidimensionnel en utilisant la méthode des ordonnées discrétes [i.e. discrètes] /

Akel¹

2004

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“…Existing methods for modeling short-pulse propagation through tissue include numerical methods [18], [20], [21] and semianalytical methods [22], [23]. Mitra and Kumar [6] compared several models for solving the transient RTE.…”

mentioning

confidence: 99%

“…Also, Tan and Hsu [19] developed an integral equation formulation to treat the general transient RTE, and Fleck used the Monte Carlo simulations [24]. Even though the Monte Carlo method is a flexible technique, due to its statistical nature, it requires tracing of a large number of energy bundles to obtain accurate and smooth solutions [18].…”

mentioning

confidence: 99%

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Laguerre Runge--Kutta--Fehlberg Method for Simulating Laser Pulse Propagation in Biological Tissue

Handapangoda

Premaratne

Yeo

et al. 2008

IEEE J. Select. Topics Quantum Electron.

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Abstract-An efficient algorithm for solving the transient radiative transfer equation for laser pulse propagation in biological tissue is presented. A Laguerre expansion is used to represent the time dependency of the incident short pulse. The Runge-KuttaFehlberg method is used to solve the intensity. The discrete ordinates method is used to discretize with respect to azimuthal and zenith angles. This method offers the advantages of representing the intensity with a high accuracy using only a few Laguerre polynomials, and straightforward extension to inhomogeneous media. Also, this formulation can be easily extended for solving the 2-D and 3-D transient radiative transfer equations.

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Analysis of light pulse transport through two-dimensional scattering and absorbing media

Cited by 110 publications

References 15 publications

Direct imaging of turbid media using long-time back-scattered photons, a numerical study

Direct imaging of turbid media using long-time back-scattered photons, a numerical study

Étude du rayonnement transitoire unidimensionnel en utilisant la méthode des ordonnées discrétes [i.e. discrètes] /

Laguerre Runge--Kutta--Fehlberg Method for Simulating Laser Pulse Propagation in Biological Tissue

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