Mathematical Physics

    

Magnetic Symmetry of Geometrical Optics

Authors: Miftachul Hadi

We show that there exists a magnetic monopole in the $U(1)$ geometrical optics as a consequence of the magnetic symmetry in a $(4+d)$-dimensional unified space where the magnetic symmetry is a consequence of the extra internal symmetry. This magnetic symmetry restricts the gauge potential. The restricted (decomposed) gauge potential is made of the scalar potential as the unrestricted electric part and the vector potential as the restricted magnetic part. We also show that the refractive indices can be formulated in relation to the decomposed gauge potential. We treat the curvature in the curvature-refractive index relation of the $U(1)$ geometrical optics as an Abelian curvature form in the fibre bundle.

Comments: Written in English, 6 pages, no figure.

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Submission history

[v1] 2021-04-29 23:58:49
[v2] 2021-05-24 04:26:47
[v3] 2021-10-01 10:38:59
[v4] 2021-11-10 00:48:32
[v5] 2022-01-20 21:30:39

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