苹果组织中光传输的漫射近似方程的推导与验证

摘要

Objective To studythe optical diffuse regular in apple samples, diffusion approximation equation was obtained and validated by experiment. Methods In terms of theoretical derivation,diffusion approximation equation was derived from the diffusion approximation theory, extension of the boundary condition was applied to solve diffusion approximation equation and obtain diffuse reflectance; in term of experimental verification, diffuse reflectance and optical parameters were measured by integrating sphere experiment under the different brix of apple samples.Results Epitaxial boundary condition was used for solving the diffuse reflectance, and the results showed it was not only calculated simply, but also had small difference compared to the experimental results. The absolute maximum error was 0.00801, the maximum relative error was 9.35%.Conclusion It is feasible to solve diffuse reflectance or seek inversion optical parameters by using the diffusion approximation equation in the apple tissue. The diffusion approximation equation provides theoretical foundation to realize the nondestructive detection of apple brix.%目的：研究光在苹果组织中的漫反射规律,推导出漫射近似方程并通过实验进行验证。方法在理论推导方面,采用漫射近似理论得到漫射近似方程,利用外延边界条件对漫射近似方程进行求解,得到漫反射率；在实验验证方面,采用积分球实验测量得到不同糖度苹果样品的漫反射率和光学参数。结果利用外延边界条件求解漫反射率,不但计算过程简便,而且和实验测得的漫反射率相差很小,二者的最大绝对误差为0.00801,最大的相对误差为9.35%。结论利用漫射近似方程求解漫反射率或反演求其光学参数都是可行的。这一方程为水果内部品质的无损检测提供了理论基础。