Braun Avi, Gordon Jeffrey M
Department of Solar Energy and Environmental Physics, Jacob Blaustein Institutes for Desert Research, Ben-Gurion University of the Negev, Sede Boqer Campus 84990, Israel.
Appl Opt. 2010 Feb 10;49(5):817-22. doi: 10.1364/AO.49.000817.
An analytic solution is derived for radiation transfer between flat quasi-Lambertian surfaces of arbitrary orientation, i.e., surfaces that radiate in a Lambertian fashion but within a numerical aperture smaller than unity. These formulas obviate the need for ray trace simulations and provide exact, physically transparent results. Illustrative examples that capture the salient features of the flux maps and the efficiency of flux transfer are presented for a few configurations of practical interest. There is also a fundamental reciprocity relation for quasi-Lambertian exchange, akin to the reciprocity theorem for fully Lambertian surfaces. Applications include optical fiber coupling, fiber-optic biomedical procedures, and solar concentrators.
推导出了任意取向的平面准朗伯表面之间辐射传输的解析解，即那些以朗伯方式辐射但数值孔径小于1的表面。这些公式无需进行光线追踪模拟，并能提供精确、物理上直观的结果。针对一些具有实际意义的配置，给出了能体现通量图显著特征和通量传输效率的示例。对于准朗伯交换，还存在一个基本的互易关系，类似于完全朗伯表面的互易定理。应用包括光纤耦合、光纤生物医学程序和太阳能聚光器。
