Nonlinear Eigenvalue Problem for Optimal Resonances in Optical Cavities

DOI10.1051/MMNP/20138110zbMath1259.78050arXiv1207.6073OpenAlexW2076109024WikidataQ60033172 ScholiaQ60033172MaRDI QIDQ4911322

Illya M. Karabash

Publication date: 14 March 2013

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6073

zbMATH Keywords

photonic crystalnonlinear eigenvaluehigh Q-factor resonatorquasi-normal eigenvalue optimization

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Perturbation theory of linear operators (47A55) Optimization problems in optics and electromagnetic theory (78M50) Variational methods for eigenvalues of operators (49R05)

Related Items (6)

Minimizing eigenvalues for inhomogeneous rods and plates ⋮ Nonlinear bang-bang eigenproblems and optimization of resonances in layered cavities ⋮ Optimization of quasi-normal eigenvalues for Krein-Nudelman strings ⋮ Pareto optimal structures producing resonances of minimal decay under \(L^1\)-type constraints ⋮ Minimization of the First Nonzero Eigenvalue Problem for Two-Phase Conductors with Neumann Boundary Conditions ⋮ Extremal rearrangement problems involving Poisson's equation with Robin boundary conditions

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