The optical properties of 1 μm polystyrene in the wavelength range of 500–750 nm were estimated by using a white light spectrophotometric transmittance spectroscopy and a single integrating sphere system. To retrieve the optical characteristics, two analytical methods, namely, diffusion approximation and Kubelka–Munk were used, and then their results were compared with Mie theory calculations. The correspondence of the Kubelka–Munk scattering coefficient with Mie was obvious, and relative errors varied between 6.73% and 2.66% whereas errors varied between 6.87% and 3.62% for diffusion theory. Both analytical methods demonstrated the absorption property of polystyrene over the abovementioned wavelength range. Although absorption coefficient turned out to be much lower than scattering, constructing a realistic optical phantom requires taking into account absorption property of polystyrene. Complex refractive index of polystyrene based on these two methods was determined. Inverse Mie algorithm with scattering coefficient was also used to retrieve the real part of refractive index and absorption coefficient for calculating the imaginary part of refractive index. The relative errors of the real part did not exceed 2.6%, and the imaginary part was in consistence with the prior works. Finally, the presented results confirm the validity of diffusion theory with a single integrating sphere system.

中文翻译：

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Kubelka-Munk聚苯乙烯微球的光学性质和单积分球系统的扩散近似：对比研究

1μ的光学性质 使用白光分光光度透射光谱法和单积分球系统估算了500-750 nm波长范围内的m聚苯乙烯。为了检索光学特性，使用了两种分析方法，即扩散近似和Kubelka-Munk，然后将它们的结果与Mie理论计算进行了比较。Kubelka-Munk散射系数与Mie的对应关系很明显，对于扩散理论，相对误差在6.73％和2.66％之间变化，而误差在6.87％和3.62％之间变化。两种分析方法均证明了聚苯乙烯在上述波长范围内的吸收性能。尽管事实证明吸收系数远低于散射，构造逼真的光学模型需要考虑到聚苯乙烯的吸收特性。基于这两种方法测定了聚苯乙烯的复折射率。还使用具有散射系数的逆Mie算法检索折射率的实部和吸收系数，以计算折射率的虚部。实部的相对误差不超过2.6％，虚部与以前的工作一致。最后，所提出的结果证实了单一积分球系统的扩散理论的有效性。还使用具有散射系数的逆Mie算法检索折射率的实部和吸收系数，以计算折射率的虚部。实部的相对误差不超过2.6％，虚部与以前的工作一致。最后，所提出的结果证实了单一积分球系统的扩散理论的有效性。还使用具有散射系数的逆Mie算法检索折射率的实部和吸收系数，以计算折射率的虚部。实部的相对误差不超过2.6％，虚部与以前的工作一致。最后，所提出的结果证实了单一积分球系统的扩散理论的有效性。