Geometric optics and rainbows: generalization of a result by Huygens

John A. Adam
2008 Applied Optics  
In 1652 Huygens derived a formula specifying the rainbow angle for the primary bow ðk ¼ 1Þ in terms of the refractive index only. A generalization of this result for any k ≥ 1 is outlined, along with an alternative representation. The details of the derivation can be found in (Adam, Mathematics Magazine, 2008, under review), but the results as stated may be of interest to the atmospheric optics community.
doi:10.1364/ao.47.000h11 pmid:19037330 fatcat:2kq36yxzy5eb7ehxrehqjwtkcq