The Problem of Quasiperiodic Photonic Structures Solved by Considering the Cut of 2D Periodic Structure - Journal of Applied Mathematics and Physics

JAMP > Vol.9 No.5, May 2021

Journal of Applied Mathematics and Physics

Volume 9, Issue 5 (May 2021)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 1.00 Citations

The Problem of Quasiperiodic Photonic Structures Solved by Considering the Cut of 2D Periodic Structure ()

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DOI: 10.4236/jamp.2021.95059 227 Downloads 798 Views Citations

Author(s)

Ahmed El Houshy

Affiliation(s)

American University in Cairo (AUC), Cairo, Egypt.

ABSTRACT

The physical objective of solving for eigen-modes of a 1D quasiperiodic structure in photonics has been achieved. This was achieved thru considering this structure as a 1D projection or cut of a 2D periodic structure. And the problem is solved in a manner similar to 2D periodic photonic structures. A mechanical analogy (quasiperiodic orbits) helps to bring conceptual clarity.

KEYWORDS

1D Quasiperiodic Structure, Quasiperiodic Motion, 2D Periodic Structure, Photonics, Mathematical Physics, Eigenvalue Problem, Bloch’s Theorem

Share and Cite:

Houshy, A. (2021) The Problem of Quasiperiodic Photonic Structures Solved by Considering the Cut of 2D Periodic Structure. Journal of Applied Mathematics and Physics, 9, 864-888. doi: 10.4236/jamp.2021.95059.

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