Eigenvalue branches of the perturbed Maxwell operator M+λD in a gap of σ(M)

DOI10.1063/1.3013121zbMath1159.81331OpenAlexW2013619872MaRDI QIDQ3624652

Publication date: 30 April 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3013121

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Lasers, masers, optical bistability, nonlinear optics (78A60) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61)

Cites Work

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The discrete spectrum in the gaps of a second-order perturbed periodic operator
On the existence of eigenvalues of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
Eigenvalues in gaps and decoupling by Neumann boundary conditions
Applications of a commutation formula
Localized classical waves created by defects
Localization of classical waves. I: Acoustic waves
Localization of classical waves. II: Electromagnetic waves
Gaps in the spectrum of the Maxwell operator with periodic coefficients
Modeling photonic crystal fibers
Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices
On guided waves created by line defects
THE DISCRETE SPECTRUM OF SELFADJOINT OPERATORS UNDER PERTURBATIONS OF VARIABLE SIGN
L₂-Theory of the Maxwell operator in arbitrary domains
Schrödinger operator. Estimates for number of bound states as function-theoretical problem
Midgap Defect Modes in Dielectric and Acoustic Media
Spectral properties of periodic media in the large coupling limit
Mathematical analysis of electromagnetic open Waveguides
Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. I. Scalar Model
The discrete spectrum of the periodic Maxwell operator perturbed by a decreasing potential
Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. II. Two-Dimensional Photonic Crystals

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