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Refraction in the Atmosphere
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altitude amplitude angle of incidence angle of minimum angular anti-corona anti-solar point appear arising atmosphere axis Babinet's principle beam Bessel functions blue calculation Cartesian centre circumscribed halo circumzenithal arc cloud coefficient colour corona corresponding curve dark Descartes diameter diffraction direction droplets effect elevation emergent equations VIII flask formed geometrical optics give rise glory heiligenschein horizontal ice crystals illumination incident light increases intensity internal reflection lower arc Lowitz arc lycopodium minimum deviation mock sun normal plane object observed obtained occur oscillation parhelic circle Parry arc particles Pernter phenomena phenomenon photographs plane of incidence position of minimum primary bow primary rainbow produced radius raindrop refracting edge refractive index result right angles rings scattering screen secondary bow seen shadow solution sphere spherical polar coordinates spin supernumerary bows surface theory triangle vector vertical visible water drops wave equation wave front wavelength zenith distance zero