Classical Physics

    

Unfringing Interference of Cross-Polarized Slits

Authors: W. Michael Feuerstein

Iproject a diagonally-polarized (D) monochromatic complexplane-wave(1) electric field ontocross-polarized slits. (1) What is the instantaneous behavior of theelectric field versus diffraction angle in the far field(2)? (2) The time-parametric vector sum of crossed-polarized slits’electric fields in a fixed plane about normal to the slits’ raystraces Lissajous curves(3)particular to the diffraction(4)angle. (3) These uniform-brightness, diffraction-angle-dependentlines, circles, and ellipses constructively constitute unfringinginterference of transverse field undulations(5)summed in parallel and falsify the first Fresnel-Arago Law(6,7)since interference (the 3-d vector sum)(1),somewhat ironically, predicts the outcome. This result essentiallyretro-extends Fresnel optics (transverse vibrations) upon the Young’sDouble-Slit via the (parallel and direct) lineages of Maxwell,Heaviside, and Poynting, supporting Young’s original assertion oflight as a wave(8.9).

Comments: 2 Pages. fixed inconsistent coordinates/wrong constants, misc/minor edits, upgrade to html abstract

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Submission history

[v1] 2024-03-18 00:44:49
[v2] 2024-03-21 23:47:08

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