23 citations · 69 across the 12 of their papers we have counts for
13 papers
Gap Localization of TE-Modes by arbitrarily weak defects - multiband case
B. M. Brown, V. Hoang, M. Plum +2
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. Both the…
The functional model for maximal dissipative operators: An approach in the spirit of operator knots
B. M. Brown, M. Marletta, S. Naboko +1
In this article we develop a functional model for a general maximal dissipative operator. We construct the selfadjoint dilation of such operators. Unlike previous functional models…
Weyl Solutions and J-selfadjointness for Dirac operators
B. Malcolm Brown, Martin Klaus, Mark Malamud +2
We consider a non-selfadjoint Dirac-type differential expression \begin{equation} D(Q)y:= J_n \frac{dy}{dx} + Q(x)y, \quad\quad\quad (1) \end{equation} with a non-selfadjoint poten…
Gap localization of TE-Modes by arbitrarily weak defects
Malcolm Brown, Vu Hoang, Michael Plum +2
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. Both the…
An abstract inverse problem for boundary triples with an application to the Friedrichs Model
B. M. Brown, M. Marletta, S. N. Naboko +1
We discuss the detectable subspaces of an operator. We analyse the relation between the M-function (the abstract Dirichlet to Neumann map) and the resolvent bordered by projections…
Spectrum created by line defects in periodic structures
B. M. Brown, V. Hoang, M. Plum +1
The spectrum of periodic differential operators typically exhibits a band-gap structure. In this paper, we will consider perturbations to periodic differential operators and invest…