利用共形映射研究照明用反射镜
Study of reflectors for illumination via conformal maps
摘要:
我们提出了一种方法,用于研究和设计的反射器与旋转或平移对称,重定向光从一个点源到任何所需的辐射强度分布。这种方法基于一个简单的保角映射,它将反射器的形状转换为一条曲线,描述反射后光线的方向。分段和连续的反射器进行了讨论,说明如何某些反射器的特性变得明显,在这种转换。这种方法也可以用于通过翻译来研究扩展源。
英文摘要:
We present an approach for the study and design of reflectors with rotational or translational symmetry that redirect light from a point source into any desired radiant intensity distribution. This method is based on a simple conformal map that transforms the reflectors' shape into a curve that describes light's direction after reflection. Both segmented and continuous reflectors are discussed, illustrating how certain reflector characteristics become apparent under this transformation. This method can also be used to study extended sources via translations.
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