“…Yet, as Miller, et al, clearly point out, 9 that conjecture is largely unproven except for special cases (e.g., the 2D rectilinear geometries considered by Miller, et al, using conformal mapping techniques), even as it is an essential component in explaining causes of field emission or dark current, 10 has bearing on the putatively low emission fields suggested to be evinced for otherwise planar emitters (but which, as Forbes, et al, 11 argue, is more complex), or suggested by similar studies. 12 Yet some assessment of the conjecture's applicability, particularly to the conical and / or wire-like emitters of contemporary design, is needed to justify its usage in beam optics codes [13][14][15] in the modeling of those field emitters. Such modeling is essential in the design of high power microwave devices, 16,17 amplifiers, 18 and particle accelerators.…”