Non-self-adjointness of bent optical waveguide eigenvalue problem

DOI10.1016/J.JMAA.2022.126024zbMATH Open1503.47125OpenAlexW4206324303MaRDI QIDQ831455

N. E. Zubov

Publication date: 23 March 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126024

zbMATH Keywords

eigenvalue problemcomplex eigenvaluesnon-self-adjoint operatorsbent waveguides

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Applications of operator theory in the physical sciences (47N50) Eigenvalue problems for linear operators (47A75) Antennas, waveguides in optics and electromagnetic theory (78A50)

Cites Work

• Spectral properties of random non-self-adjoint matrices and operators
• NON-SELF-ADJOINT DIFFERENTIAL OPERATORS
• Pseudo–spectra, the harmonic oscillator and complex resonances
• Mathematical analysis of electromagnetic open Waveguides
• Eigenvalues of Non-selfadjoint Operators: A Comparison of Two Approaches
• Nonconservative stability problems of modern physics

Related Items (4)

A collocation-based spectral element method for computing nonlinear optical waveguide ⋮ A primer on eigenvalue problems of non-self-adjoint operators ⋮ Modes on a bent nonlinear waveguide: solutions based upon the method of perturbations ⋮ Mathematical analysis of bent optical waveguide eigenvalue problem

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