Lee Raymond L, Laven Philip
Mathematics and Science Division, United States Naval Academy, Annapolis, Maryland 21402, USA.
Appl Opt. 2011 Oct 1;50(28):F152-61. doi: 10.1364/AO.50.00F152.
Naturally occurring tertiary rainbows are extraordinarily rare and only a handful of reliable sightings and photographs have been published. Indeed, tertiaries are sometimes assumed to be inherently invisible because of sun glare and strong forward scattering by raindrops. To analyze the natural tertiary's visibility, we use Lorenz-Mie theory, the Debye series, and a modified geometrical optics model (including both interference and nonspherical drops) to calculate the tertiary's (1) chromaticity gamuts, (2) luminance contrasts, and (3) color contrasts as seen against dark cloud backgrounds. Results from each model show that natural tertiaries are just visible for some unusual combinations of lighting conditions and raindrop size distributions.
自然形成的三级彩虹极其罕见,仅有少数可靠的目击报告和照片被发表。实际上,由于阳光眩光和雨滴的强烈前向散射,三级彩虹有时被认为本质上是不可见的。为了分析自然三级彩虹的可见性,我们使用洛伦兹 - 米氏理论、德拜级数和一个改进的几何光学模型(包括干涉和非球形雨滴)来计算三级彩虹相对于暗云背景的(1)色度范围、(2)亮度对比度和(3)颜色对比度。每个模型的结果表明,对于某些特殊的光照条件和雨滴大小分布组合,自然三级彩虹是可见的。