Time domain transport equations of light in multilayered rectangular biological tissue with semi-infinite medium
In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Wang, Xichang [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018transfer abstract |
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| Schlagwörter: |
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| Umfang: |
7 |
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| Übergeordnetes Werk: |
Enthalten in: Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment - Cheng, Cheng ELSEVIER, 2020, international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy, München |
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| Übergeordnetes Werk: |
volume:154 ; year:2018 ; pages:67-73 ; extent:7 |
| Links: |
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| DOI / URN: |
10.1016/j.ijleo.2017.10.026 |
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ELV041183320 |
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| 520 | |a In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion equation, according to Fourier transform of frequency domain, turns the frequency domain solution into time domain model. On the basis of the deduced equation, the corresponding calculation process is written and the time resolved diffuse reflectance is calculated. The established model is compared with Monte Carlo simulation of time domain and the traditional medium with semi-infinite thickness, the result shows that our theory is correct. Concurrently, the effects of different boundary conditions on the diffusion equation are compared, it shows that our equations can not only solve the finite boundary problems, when the boundary is infinite, it can replace multilayer medium diffusion model. | ||
| 520 | |a In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion equation, according to Fourier transform of frequency domain, turns the frequency domain solution into time domain model. On the basis of the deduced equation, the corresponding calculation process is written and the time resolved diffuse reflectance is calculated. The established model is compared with Monte Carlo simulation of time domain and the traditional medium with semi-infinite thickness, the result shows that our theory is correct. Concurrently, the effects of different boundary conditions on the diffusion equation are compared, it shows that our equations can not only solve the finite boundary problems, when the boundary is infinite, it can replace multilayer medium diffusion model. | ||
| 650 | 7 | |a Tissue optics |2 Elsevier | |
| 650 | 7 | |a Time resolved diffuse reflectance |2 Elsevier | |
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10.1016/j.ijleo.2017.10.026 doi GBV00000000000269A.pica (DE-627)ELV041183320 (ELSEVIER)S0030-4026(17)31230-5 DE-627 ger DE-627 rakwb eng 620 620 DE-600 333.7 VZ 43.00 bkl Wang, Xichang verfasserin aut Time domain transport equations of light in multilayered rectangular biological tissue with semi-infinite medium 2018transfer abstract 7 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion equation, according to Fourier transform of frequency domain, turns the frequency domain solution into time domain model. On the basis of the deduced equation, the corresponding calculation process is written and the time resolved diffuse reflectance is calculated. The established model is compared with Monte Carlo simulation of time domain and the traditional medium with semi-infinite thickness, the result shows that our theory is correct. Concurrently, the effects of different boundary conditions on the diffusion equation are compared, it shows that our equations can not only solve the finite boundary problems, when the boundary is infinite, it can replace multilayer medium diffusion model. In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion equation, according to Fourier transform of frequency domain, turns the frequency domain solution into time domain model. On the basis of the deduced equation, the corresponding calculation process is written and the time resolved diffuse reflectance is calculated. The established model is compared with Monte Carlo simulation of time domain and the traditional medium with semi-infinite thickness, the result shows that our theory is correct. Concurrently, the effects of different boundary conditions on the diffusion equation are compared, it shows that our equations can not only solve the finite boundary problems, when the boundary is infinite, it can replace multilayer medium diffusion model. Tissue optics Elsevier Time resolved diffuse reflectance Elsevier Diffusion equation Elsevier Monte Carlo simulation Elsevier Enthalten in Elsevier Cheng, Cheng ELSEVIER Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment 2020 international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy München (DE-627)ELV004102533 volume:154 year:2018 pages:67-73 extent:7 https://doi.org/10.1016/j.ijleo.2017.10.026 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.00 Umweltforschung Umweltschutz: Allgemeines VZ AR 154 2018 67-73 7 045F 620 |
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10.1016/j.ijleo.2017.10.026 doi GBV00000000000269A.pica (DE-627)ELV041183320 (ELSEVIER)S0030-4026(17)31230-5 DE-627 ger DE-627 rakwb eng 620 620 DE-600 333.7 VZ 43.00 bkl Wang, Xichang verfasserin aut Time domain transport equations of light in multilayered rectangular biological tissue with semi-infinite medium 2018transfer abstract 7 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion equation, according to Fourier transform of frequency domain, turns the frequency domain solution into time domain model. On the basis of the deduced equation, the corresponding calculation process is written and the time resolved diffuse reflectance is calculated. The established model is compared with Monte Carlo simulation of time domain and the traditional medium with semi-infinite thickness, the result shows that our theory is correct. Concurrently, the effects of different boundary conditions on the diffusion equation are compared, it shows that our equations can not only solve the finite boundary problems, when the boundary is infinite, it can replace multilayer medium diffusion model. In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion equation, according to Fourier transform of frequency domain, turns the frequency domain solution into time domain model. On the basis of the deduced equation, the corresponding calculation process is written and the time resolved diffuse reflectance is calculated. The established model is compared with Monte Carlo simulation of time domain and the traditional medium with semi-infinite thickness, the result shows that our theory is correct. Concurrently, the effects of different boundary conditions on the diffusion equation are compared, it shows that our equations can not only solve the finite boundary problems, when the boundary is infinite, it can replace multilayer medium diffusion model. Tissue optics Elsevier Time resolved diffuse reflectance Elsevier Diffusion equation Elsevier Monte Carlo simulation Elsevier Enthalten in Elsevier Cheng, Cheng ELSEVIER Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment 2020 international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy München (DE-627)ELV004102533 volume:154 year:2018 pages:67-73 extent:7 https://doi.org/10.1016/j.ijleo.2017.10.026 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.00 Umweltforschung Umweltschutz: Allgemeines VZ AR 154 2018 67-73 7 045F 620 |
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10.1016/j.ijleo.2017.10.026 doi GBV00000000000269A.pica (DE-627)ELV041183320 (ELSEVIER)S0030-4026(17)31230-5 DE-627 ger DE-627 rakwb eng 620 620 DE-600 333.7 VZ 43.00 bkl Wang, Xichang verfasserin aut Time domain transport equations of light in multilayered rectangular biological tissue with semi-infinite medium 2018transfer abstract 7 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion equation, according to Fourier transform of frequency domain, turns the frequency domain solution into time domain model. On the basis of the deduced equation, the corresponding calculation process is written and the time resolved diffuse reflectance is calculated. The established model is compared with Monte Carlo simulation of time domain and the traditional medium with semi-infinite thickness, the result shows that our theory is correct. Concurrently, the effects of different boundary conditions on the diffusion equation are compared, it shows that our equations can not only solve the finite boundary problems, when the boundary is infinite, it can replace multilayer medium diffusion model. In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion equation, according to Fourier transform of frequency domain, turns the frequency domain solution into time domain model. On the basis of the deduced equation, the corresponding calculation process is written and the time resolved diffuse reflectance is calculated. The established model is compared with Monte Carlo simulation of time domain and the traditional medium with semi-infinite thickness, the result shows that our theory is correct. Concurrently, the effects of different boundary conditions on the diffusion equation are compared, it shows that our equations can not only solve the finite boundary problems, when the boundary is infinite, it can replace multilayer medium diffusion model. Tissue optics Elsevier Time resolved diffuse reflectance Elsevier Diffusion equation Elsevier Monte Carlo simulation Elsevier Enthalten in Elsevier Cheng, Cheng ELSEVIER Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment 2020 international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy München (DE-627)ELV004102533 volume:154 year:2018 pages:67-73 extent:7 https://doi.org/10.1016/j.ijleo.2017.10.026 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.00 Umweltforschung Umweltschutz: Allgemeines VZ AR 154 2018 67-73 7 045F 620 |
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10.1016/j.ijleo.2017.10.026 doi GBV00000000000269A.pica (DE-627)ELV041183320 (ELSEVIER)S0030-4026(17)31230-5 DE-627 ger DE-627 rakwb eng 620 620 DE-600 333.7 VZ 43.00 bkl Wang, Xichang verfasserin aut Time domain transport equations of light in multilayered rectangular biological tissue with semi-infinite medium 2018transfer abstract 7 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion equation, according to Fourier transform of frequency domain, turns the frequency domain solution into time domain model. On the basis of the deduced equation, the corresponding calculation process is written and the time resolved diffuse reflectance is calculated. The established model is compared with Monte Carlo simulation of time domain and the traditional medium with semi-infinite thickness, the result shows that our theory is correct. Concurrently, the effects of different boundary conditions on the diffusion equation are compared, it shows that our equations can not only solve the finite boundary problems, when the boundary is infinite, it can replace multilayer medium diffusion model. In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion equation, according to Fourier transform of frequency domain, turns the frequency domain solution into time domain model. On the basis of the deduced equation, the corresponding calculation process is written and the time resolved diffuse reflectance is calculated. The established model is compared with Monte Carlo simulation of time domain and the traditional medium with semi-infinite thickness, the result shows that our theory is correct. Concurrently, the effects of different boundary conditions on the diffusion equation are compared, it shows that our equations can not only solve the finite boundary problems, when the boundary is infinite, it can replace multilayer medium diffusion model. Tissue optics Elsevier Time resolved diffuse reflectance Elsevier Diffusion equation Elsevier Monte Carlo simulation Elsevier Enthalten in Elsevier Cheng, Cheng ELSEVIER Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment 2020 international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy München (DE-627)ELV004102533 volume:154 year:2018 pages:67-73 extent:7 https://doi.org/10.1016/j.ijleo.2017.10.026 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.00 Umweltforschung Umweltschutz: Allgemeines VZ AR 154 2018 67-73 7 045F 620 |
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10.1016/j.ijleo.2017.10.026 doi GBV00000000000269A.pica (DE-627)ELV041183320 (ELSEVIER)S0030-4026(17)31230-5 DE-627 ger DE-627 rakwb eng 620 620 DE-600 333.7 VZ 43.00 bkl Wang, Xichang verfasserin aut Time domain transport equations of light in multilayered rectangular biological tissue with semi-infinite medium 2018transfer abstract 7 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion equation, according to Fourier transform of frequency domain, turns the frequency domain solution into time domain model. On the basis of the deduced equation, the corresponding calculation process is written and the time resolved diffuse reflectance is calculated. The established model is compared with Monte Carlo simulation of time domain and the traditional medium with semi-infinite thickness, the result shows that our theory is correct. Concurrently, the effects of different boundary conditions on the diffusion equation are compared, it shows that our equations can not only solve the finite boundary problems, when the boundary is infinite, it can replace multilayer medium diffusion model. In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion equation, according to Fourier transform of frequency domain, turns the frequency domain solution into time domain model. On the basis of the deduced equation, the corresponding calculation process is written and the time resolved diffuse reflectance is calculated. The established model is compared with Monte Carlo simulation of time domain and the traditional medium with semi-infinite thickness, the result shows that our theory is correct. Concurrently, the effects of different boundary conditions on the diffusion equation are compared, it shows that our equations can not only solve the finite boundary problems, when the boundary is infinite, it can replace multilayer medium diffusion model. Tissue optics Elsevier Time resolved diffuse reflectance Elsevier Diffusion equation Elsevier Monte Carlo simulation Elsevier Enthalten in Elsevier Cheng, Cheng ELSEVIER Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment 2020 international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy München (DE-627)ELV004102533 volume:154 year:2018 pages:67-73 extent:7 https://doi.org/10.1016/j.ijleo.2017.10.026 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.00 Umweltforschung Umweltschutz: Allgemeines VZ AR 154 2018 67-73 7 045F 620 |
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Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment |
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Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment |
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Time domain transport equations of light in multilayered rectangular biological tissue with semi-infinite medium |
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Time domain transport equations of light in multilayered rectangular biological tissue with semi-infinite medium |
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Wang, Xichang |
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Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment |
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Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment |
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Wang, Xichang |
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Wang, Xichang |
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10.1016/j.ijleo.2017.10.026 |
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620 333.7 |
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time domain transport equations of light in multilayered rectangular biological tissue with semi-infinite medium |
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Time domain transport equations of light in multilayered rectangular biological tissue with semi-infinite medium |
| abstract |
In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion equation, according to Fourier transform of frequency domain, turns the frequency domain solution into time domain model. On the basis of the deduced equation, the corresponding calculation process is written and the time resolved diffuse reflectance is calculated. The established model is compared with Monte Carlo simulation of time domain and the traditional medium with semi-infinite thickness, the result shows that our theory is correct. Concurrently, the effects of different boundary conditions on the diffusion equation are compared, it shows that our equations can not only solve the finite boundary problems, when the boundary is infinite, it can replace multilayer medium diffusion model. |
| abstractGer |
In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion equation, according to Fourier transform of frequency domain, turns the frequency domain solution into time domain model. On the basis of the deduced equation, the corresponding calculation process is written and the time resolved diffuse reflectance is calculated. The established model is compared with Monte Carlo simulation of time domain and the traditional medium with semi-infinite thickness, the result shows that our theory is correct. Concurrently, the effects of different boundary conditions on the diffusion equation are compared, it shows that our equations can not only solve the finite boundary problems, when the boundary is infinite, it can replace multilayer medium diffusion model. |
| abstract_unstemmed |
In the study of tissue optics, physical models with the boundary of finite size are rarely established. Based on the diffusion equation, under the rectangular boundary conditions, this paper adopts extrapolation boundary conditions to establish a frequency domain model of multilayer medium diffusion equation, according to Fourier transform of frequency domain, turns the frequency domain solution into time domain model. On the basis of the deduced equation, the corresponding calculation process is written and the time resolved diffuse reflectance is calculated. The established model is compared with Monte Carlo simulation of time domain and the traditional medium with semi-infinite thickness, the result shows that our theory is correct. Concurrently, the effects of different boundary conditions on the diffusion equation are compared, it shows that our equations can not only solve the finite boundary problems, when the boundary is infinite, it can replace multilayer medium diffusion model. |
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Time domain transport equations of light in multilayered rectangular biological tissue with semi-infinite medium |
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https://doi.org/10.1016/j.ijleo.2017.10.026 |
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