Publication detail

Bound states in the continuum in waveguide arrays within a symmetry classification scheme

PETRÁČEK, J. KUZMIAK, V.

Czech title

Vázané stavy v kontinuu ve vlnovodných polích: klasifikace pomocí symetrií

English title

Bound states in the continuum in waveguide arrays within a symmetry classification scheme

Type

journal article in Web of Science

Language

en

Original abstract

We study a photonic implementation of a modified Fano-Anderson model – a waveguide array with two additional waveguides and by using the coupled mode theory we calculate its spectral and scattering properties. We classify eigenmodes according to vertical symmetry of the structure given by self-coupling coefficients of the additional waveguides and establish the conditions for bound states in the continuum (BIC) existence. The main predictions drawn from the theoretical model are verified by rigorous full-wave simulations of realistic structures. We use the Weierstrass factorization theorem and interpret the scattering spectra of the systems with broken symmetry in terms of the eigenmodes. The Fano resonance related with excitation of quasi-BIC is explained as arising from the interference between this mode and another leaky mode. (c) 2022 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement

Czech abstract

Studujeme fotonickou implementaci modifikovaného Fanova-Andersonova modelu, tvořeného polem vlnovodů se dvěma přídavnými vlnovody. Pomocí teorie vázaných modů jsme vypočetli spektrální a rozptylové vlastnosti systému. Klasifikovali jsme vlastní mody struktury pomocí systémových symetrií, které jsou dány hodnotami vlastních činitelů vazby, a určili jsme podmínky existence vázaných stavů v kontinuu. Nejdůležitější výsledky jsme verifikovali pomocí rigorózních simulací. Dále jsme použili Weierstrassův faktorizační teorém a interpretovali rozptylová spektra. Fanova rezonance spojená s excitací kvazi-vázaného stavu v kontinuu byla vysvětlena jako důsledek interference mezi tímto modem a jiným "leaky" modem.

English abstract

We study a photonic implementation of a modified Fano-Anderson model – a waveguide array with two additional waveguides and by using the coupled mode theory we calculate its spectral and scattering properties. We classify eigenmodes according to vertical symmetry of the structure given by self-coupling coefficients of the additional waveguides and establish the conditions for bound states in the continuum (BIC) existence. The main predictions drawn from the theoretical model are verified by rigorous full-wave simulations of realistic structures. We use the Weierstrass factorization theorem and interpret the scattering spectra of the systems with broken symmetry in terms of the eigenmodes. The Fano resonance related with excitation of quasi-BIC is explained as arising from the interference between this mode and another leaky mode. (c) 2022 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement

Keywords in English

bound states in the continuum; Fano resonance; Fano-Anderson model; waveguide arrays; Weierstrass factorization theorem

Released

26.09.2022

Publisher

Optica Publishing Group

Location

WASHINGTON

ISSN

1094-4087

Volume

30

Number

20

Pages from–to

35712–35724

Pages count

13

BIBTEX


@article{BUT180431,
  author="Jiří {Petráček} and Vladimír {Kuzmiak},
  title="Bound states in the continuum in waveguide arrays within a symmetry classification scheme",
  year="2022",
  volume="30",
  number="20",
  month="September",
  pages="35712--35724",
  publisher="Optica Publishing Group",
  address="WASHINGTON",
  issn="1094-4087"
}