Mathematical Physics

    

Knot in Weak-Field Geometrical Optics

Authors: Miftachul Hadi

We construct the geometric optical knot in 3-dimensional Euclidean (vacuum or weak-field) space using the Abelian Chern-Simons integral and the variables (the Clebsch variables) of the complex scalar field, i.e. the function of amplitude and the phase related to the refractive index. The result of numerical simulation shows that in vacuum or weak-field space, there exists such a knot.

Comments: 4 Pages. 1 figure.

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Submission history

[v1] 2023-09-05 02:46:20

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