2 citations · 2 across the 3 of their papers we have counts for
3 papers
math-ph2016★ 2 cited
On resonant spectral gap opening in quantum graph networks
Ngoc T. Do, Peter Kuchment, Beng Ong
In this brief paper we present some results on creating and manipulating spectral gaps for a (regular) quantum graph by inserting appropriate internal structures into its vertices.…
math-ph2009
On guided electromagnetic waves in photonic crystal waveguides
Peter Kuchment, Beng-Seong Ong
The paper addresses the issue of existence and confinement of electromagnetic modes guided by linear defects in photonic crystals. Sufficient condition are provided for existence o…
math-ph2005
On the limiting absorption principle and spectra of quantum graphs
Beng-Seong Ong
The main result of the article is validity of the limiting absorption principle and thus absence of the singular continuous spectrum for compact quantum graphs with several infinit…