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https://doi.org/10.1007/978-3-662-22223-2_9

has been cited by the following article:

• TITLE: The Problem of Quasiperiodic Photonic Structures Solved by Considering the Cut of 2D Periodic Structure

  AUTHORS: Ahmed El Houshy

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.5, May 17, 2021

  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.