Angular spectral framework to test full corrections of paraxial solutions: erratum

In our previous article [J. Opt. Soc. Am. A32, 1236 (2015)JOAOD60740-323210.1364/JOSAA.32.001236] there is an issue concerning the comparison of plane wave spectrum solutions of paraxial and Helmholtz equations. We compared the angular plane wave spectrum of Helmholtz solutions with the plane wave spectrum of the paraxial solutions in terms of normalized projections of paraxial wave vectors. We show that the proper comparison of plane wave spectra must be done in terms of angles. The results presented in our previous work are corrected accordingly. The most important change is that Wünsche's T₂ operator leads to a valid method.