Publication detail

Effect of symmetry breaking on bound states in the continuum in waveguide arrays

PETRÁČEK, J. KUZMIAK, V.

Czech title

Vliv porušení symetrie na vázané stavy v kontinuu ve vlnovodných polích

English title

Effect of symmetry breaking on bound states in the continuum in waveguide arrays

Type

journal article in Web of Science

Language

en

Original abstract

We developed the theoretical framework based on the coupled-mode theory which describes spectral and scattering properties of the photonic analog of an extended Fano-Anderson model – a waveguide array with two additional side-coupled waveguides. The structure supports a rich spectrum of eigenmodes, including BIC and other bound and leaky modes, which can be classified according to the relation between the self-coupling coefficients and eigenvalues. We focus on the structures with broken vertical symmetry with their band structures revealing interesting phenomena, such as exceptional points and level repulsion. We interpreted the resonant features in the scattering spectra through a generalized Weierstrass factorization.

Czech abstract

Vyvinuli jsme teoretický formalismus, založený na teorii vázaných modů, který popisuje spektrální a rozptylové vlastnosti fotonické struktury, která je analogií rozšířeného Fanova-Andersonova modelu. Jedná se o pole vlnovodů se dvěma přídavnými stranově vázanými vlnovody. Struktura vykazuje bohaté spektrum vlastních modů, včetně vázaných stavů v kontiunuu a dalších vázaných a "leaky" modů, které lze klasifikovat pomocí vazebních koeficientů a vlastních hodnot. Zaměřili jsme se na struktury s porušenou vertikální symetrií. Jejich pásová struktura vykazuje zajímavé jevy, jako jsou výjimečné body a odpuzování. Interpretovali jsme rezonanční vlastnosti rozptylových spekter prostřednictvím zobecněné Weierstrassovy faktorizace.

English abstract

We developed the theoretical framework based on the coupled-mode theory which describes spectral and scattering properties of the photonic analog of an extended Fano-Anderson model – a waveguide array with two additional side-coupled waveguides. The structure supports a rich spectrum of eigenmodes, including BIC and other bound and leaky modes, which can be classified according to the relation between the self-coupling coefficients and eigenvalues. We focus on the structures with broken vertical symmetry with their band structures revealing interesting phenomena, such as exceptional points and level repulsion. We interpreted the resonant features in the scattering spectra through a generalized Weierstrass factorization.

Keywords in English

coupled mode theory; bound states in the continuum; Fano-Andeson model

Released

03.06.2022

Publisher

AMER PHYSICAL SOC

Location

COLLEGE PK

ISSN

2469-9926

Volume

105

Number

6

Pages from–to

063505-1–063505-7

Pages count

7

BIBTEX


@article{BUT178270,
  author="Jiří {Petráček} and Vladimír {Kuzmiak},
  title="Effect of symmetry breaking on bound states in the continuum in waveguide arrays",
  year="2022",
  volume="105",
  number="6",
  month="June",
  pages="063505-1--063505-7",
  publisher="AMER PHYSICAL SOC",
  address="COLLEGE PK",
  issn="2469-9926"
}