Polarization aberration analysis of the advanced x-ray astrophysics facility telescope assembly: errata

Abstract

Reference 1 contains a serious error that renders most of the results inapplicable to grazing-incidence telescopes and creates an incorrect impression as to the polarization properties of grazing-incidence telescopes. The errors arise from an incorrect application of the sign convention for the Fresnel equations. The Fresnel equations are correct as stated in Eqs. (2) and (3) but are incorrectly assembled into the Jones matrix in Eq. (8), where the minus sign of ap should be removed. This equation is at the heart of the technical development, causing errors in many of the remaining equations. The retardance is incorrectly calculated by Eq. (5) and is plotted incorrectly in Fig. 4. Near grazing incidence, the linear retardance associated with reflection from metals, approaches zero ( 0) as the angle approaches grazing incidence (i 900). The paper incorrectly states that -> r rad. Thus a grazing-incidence mirror acts as a nonpolarizing element, not as a half-wave linear retarder. The polarization aberration function for the primary mirror in Jones matrix form [Eq. (16)] should be 1 0 J(P, 0) 0 1), (1)