Effect of light beam on measurements of reflectance and transmittance of turbid media with integrating sphere: Monte Carlo simulation

doi:10.1007/s12200-015-0516-9

Front. Optoelectron.

2015, Vol. 8

Issue (2) : 203-211 https://doi.org/10.1007/s12200-015-0516-9

RESEARCH ARTICLE

Effect of light beam on measurements of reflectance and transmittance of turbid media with integrating sphere: Monte Carlo simulation

Xiewei ZHONG^1,²,Shenxia TAN^1,²,Xiang WEN^1,²,Dan ZHU^1,^2,^*(

)

1. Britton Chance Center for Biomedical Photonics, Wuhan National Laboratory for Optoelectronics, Huazhong University of Science and Technology, Wuhan 430074, China
2. Ministry of Education (MoE) Key Laboratory for Biomedical Photonics, Department of Biomedical Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

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Abstract

Integrating sphere technique is widely used to measure the total reflectance and transmittance of turbid sample, but the unavoidable light loss induces some measuring error. It has never been reported whether the error depends on the shape and size of light beam. In this paper, a convolution for computing the responses to rectangular incident light beam based on the Monte Carlo method was presented. The effects of light beam shape and size, and optical properties of sample on the measurements were addressed. The results show that the light loss with rectangular incident light beam is larger than that with circular one with the same area. The more the area of light beam, the more the light loss. And the light loss induced by the optical properties of sample is much more significant than that by the shape and size of the incident light beam.

Keywords integrating spheres optical properties Monte Carlo

Corresponding Author(s): Dan ZHU

Just Accepted Date: 15 May 2015 Online First Date: 03 June 2015 Issue Date: 24 June 2015

Cite this article:

Xiewei ZHONG,Shenxia TAN,Xiang WEN, et al. Effect of light beam on measurements of reflectance and transmittance of turbid media with integrating sphere: Monte Carlo simulation[J]. Front. Optoelectron., 2015, 8(2): 203-211.

URL:

https://academic.hep.com.cn/foe/EN/10.1007/s12200-015-0516-9
https://academic.hep.com.cn/foe/EN/Y2015/V8/I2/203

Fig.1 System diagram for spectrophotometer and single integrating sphere. The geometry of the entrances for the R and T was also given. The gray-filled rectangle was the area of the incident light. THL: tungsten-halogen light source; DL: deuterium light source; PMT: photomultiplier

Fig.2 Diagram for how to convolute with rectangular incident light beam. The red rectangular represents the rectangular incident light beam. The colorful circle indicates the reflectance with pencil incident light beam. The arrow shows the arc intersected by the light beam and the responses of the pencil light beam. The black circle indicates the port of integrating sphere

Tab.1 Optical properties and thicknesses for modeling R and T

Fig.3 Distribution of reflectance with various incident light beams: rectangular, circular and pencil light beams (from left to right). The optical properties of upper panel and the lower panel are (μ_a: 0.08 cm^-1, μ_s: 7.67 cm^-1) and (μ_a: 0.97 cm^-1, μ_s: 27.3 cm^-1), respectively. The light loss for each is also presented

Fig.4 Distribution of transmittance with various incident light beam, rectangular, circular and pencil light beam (from left to right). The optical properties of upper panel and the lower panel are (μ_a: 0.08 cm^-1, μ_s: 7.67 cm^-1) and (μ_a: 0.97 cm^-1, μ_s: 27.3 cm^-1) respectively, and the light loss for each is presented

Fig.5 Light losses in the R and T measurement with various incident light beam (rectangular, circular and pencil beam) and various optical properties of turbid media

Fig.6 Absolute differences of the light loss with the rectangular incident light beam and the other light beams, circular and pencil. The upper panel is the value in the R measurement, and the lower panel is in the T measurement

Fig.7 Absolute differences of the light loss in R and T measurement with various size of the rectangular incident light beam

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