4 - Open loop examples

Housni Al Wahsh (1) , L. Dobrzynski (2, 3) , Abdellatif Akjouj (2, 3) , El Houssaine El Boudouti (4)

1 BU - Benha University
2 IEMN - Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520
3 PHYSIQUE - IEMN - Physique - IEMN
4 LPMR, Department de Physique, Faculty of science, University Mohammed I

The simplest general robust zero is the middle of an open loop. When the middles of several free-end open loops of the same length are superposed, their antisymmetric eigenfunctions remain unperturbed and the final network has several degenerate states. The next three examples take into account spatial symmetry breaks. It is assumed for simplicity that all loops are made out of the same dielectric material.A robust eigenfunction zero is robust because its eigenstate cannot be activated by any action applied on it. The path states are robust because they are confined within one-dimensional paths and when they are degenerate they can turn around defects.

Domaines: Sciences de l'ingénieur [physics]

Housni Al Wahsh, L. Dobrzynski, Abdellatif Akjouj, El Houssaine El Boudouti. 4 - Open loop examples. Photonics, Part one : photonic paths, Elsevier, pp.33-49, 2021, 978-0-12-819388-4. ⟨10.1016/B978-0-12-819388-4.00013-7⟩. ⟨hal-03350831⟩