The second Brewster angle ΦB2, at which the ratio Rp/Rs of intensity reflectances Rp and Rs for the parallel (p) and the perpendicular (s) polarizations of a dielectric-conductor interface reaches a minimum, is determined by Im[(u - ∊)(u - ∊)2/(u - 2∊)2] = 0, where ∊ is the complex ratio of dielectric constants of the media of refraction and incidence, ∊ = ∊/(∊ + 1), and u= sin2ΦB2. An equivalent quartic equation in u is also derived that can be solved exactly and explicitly to determine ΦB2 in terms of ∊.
Journal of the Optical Society of America (1917-1983)
R. M. A. Azzam, "Explicit equations for the second Brewster angle of an interface between a transparent and an absorbing medium," J. Opt. Soc. Am. 73, 1211-1212 (1983)