Guided modes in a hexagonal periodic graph like domain

B Delourme, S Fliss - Multiscale Modeling & Simulation, 2024 - SIAM
This paper deals with the existence of guided waves and edge states, in particular two-
dimensional media obtained by perturbing a reference periodic medium with honeycomb …

Absence of bound states for waveguides in two-dimensional periodic structures

V Hoang, M Radosz - Journal of Mathematical Physics, 2014 - pubs.aip.org
We study a Helmholtz-type spectral problem in a two-dimensional medium consisting of a
fully periodic background structure and a perturbation in form of a line defect. The defect is …

Trapped modes in thin and infinite ladder like domains. Part 1: existence results

B Delourme, S Fliss, P Joly… - Asymptotic …, 2017 - content.iospress.com
The present paper deals with the wave propagation in a particular two dimensional
structure, obtained from a localized perturbation of a reference periodic medium. This …

Spectrum created by line defects in periodic structures

BM Brown, V Hoang, M Plum… - Mathematische …, 2014 - Wiley Online Library
We study a Helmholtz‐type spectral problem related to the propagation of electromagnetic
waves in photonic crystal waveguides. The waveguide is created by introducing a linear …

Gap localization of TE‐modes by arbitrarily weak defects

BM Brown, V Hoang, M Plum… - Journal of the London …, 2017 - Wiley Online Library
This paper considers the propagation of TE‐modes in photonic crystal waveguides. The
waveguide is created by introducing a linear defect into a periodic background medium …

Gap localization of multiple TE‐Modes by arbitrarily weak defects

BM Brown, V Hoang, M Plum… - Journal of the London …, 2020 - Wiley Online Library
This paper considers the propagation of TE‐modes in photonic crystal waveguides. The
waveguide is created by introducing a linear defect into a periodic background medium …

[PDF][PDF] On the spectral properties of dispersive photonic crystals

P Schmalkoke - 2013 - scholar.archive.org
This thesis is concerned with a parameter-nonlinear Helmholtz-type spectral problem on R2,
which describes light propagation in certain two-dimensional, dispersive photonic crystals …

[PDF][PDF] localization of multiple TEModes by arbitrarily weak defects. Journal of the London Mathematical Society. ISSN 0024-6107.

BM Brown, V Hoang, M Plum, M Radosz, I Wood - kar.kent.ac.uk
BM BROWN, V. HOANG, M. PLUM, M. RADOSZ AND I. WOOD Abstract. This paper
considers the propagation of TE-modes in photonic crystal waveguides. The waveguide is …

Gap Localization of TE-Modes by arbitrarily weak defects-multiband case

BM Brown, V Hoang, M Plum, M Radosz… - arXiv preprint arXiv …, 2019 - arxiv.org
This paper considers the propagation of TE-modes in photonic crystal waveguides. The
waveguide is created by introducing a linear defect into a periodic background medium …