The equivalence of both approaches to calculate the aberration field center locations has been demonstrated and is shown in a paper recently submitted to JOSA A. The calculation of the aberration field centers has been implemented in CODE V where it is combined with Full Field Displays and with macros developed to compute the characteristic quantities in Nodal Aberration Theory. The results were successfully validated based on real raytracing and subsequent fit to Zernike polynomials; a completely independent methodology for verification purposes.

Most recently Tobias has been applying Nodal Aberration Theory to fully describe alignment induced aberrations on a surface-by-surface basis for a wide class of astronomical telescopes. Not only total aberration at the image plane, but also effects originating from each surface can be analyzed separately. Because nodal location is linear with perturbation, the resulting insights from applying these tools enables a fundamental understanding of misalignment effects, which can provide valuable insight in the process of developing an alignment plan. Tobias has also recently undertaken research into aberations of rotationally non-symmetric optical systems which has application in many domains including EUV lithography.