García-Valenzuela Augusto, Gutiérrez-Reyes Edahí, Barrera Rubén G
Departamento de Física, Universidad Autónoma Metropolitana Iztapalapa, Distrito Federal, México.
J Opt Soc Am A Opt Image Sci Vis. 2012 Jun 1;29(6):1161-79. doi: 10.1364/JOSAA.29.001161.
Using a multiple-scattering formalism, we derive closed-form expressions for the coherent reflection and transmission coefficients of monochromatic electromagnetic plane waves incident upon a two-dimensional array of randomly located spherical particles. The calculation is performed within the quasi-crystalline approximation, and the statistical correlation among the particles is assumed to be given simply by a correlation hole. In the resulting model, the size of the spheres and the angle of incidence are both unrestricted. The final formulas are relatively simple, making the model suitable for a straightforward interpretation of optical-sensing measurements.
利用多重散射形式理论，我们推导出了单色电磁平面波入射到随机分布的球形粒子二维阵列上时的相干反射系数和透射系数的闭式表达式。计算是在准晶近似下进行的，并且假设粒子之间的统计相关性仅由一个相关空穴给出。在所得模型中，球体的大小和入射角均不受限制。最终公式相对简单，使得该模型适用于对光学传感测量进行直接解释。
