Results 61 to 70 of about 134,115 (317)
An Approach of Eigenvalue Perturbation Theory [PDF]
Applied Numerical Analysis & Computational Mathematics, 2005 The eigenvalue problem of the form \((A+\varepsilon B)\phi(\varepsilon)= \lambda(\varepsilon) \phi(\varepsilon)\) is considered, where \(A, B\) are matrices, or more generally, differential operators. If \(A\) is selfadjoint and the eigenvalue \(\lambda(0)\) of \(A\) is simple, it is shown that \(\lambda(\varepsilon)\) has a power series expansion ...
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Signatures of three coalescing eigenfunctions
, 2011 Parameter dependent non-Hermitian quantum systems typically not only possess eigenvalue degeneracies, but also degeneracies of the corresponding eigenfunctions at exceptional points.
Demange, Gilles, Graefe, Eva-Maria
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Photo‐Reconfigurable Supercoupling Induced Transparency in On‐Chip Topological Edge State Cavities
Advanced Materials, EarlyView.A novel supercoupling induced transparency (SIT) is demonstrated in a valley‐Hall photonic crystal. The valley vortices enable the supercoupling between a leaky and a guided topological edge state cavity even across a distance of 4.3 wavelengths, inducing a transparency window with negligible reflection.
Wenhao Wang, Ranjan Singh
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Perturbation formula of eigenvalues in a singularly perturbed domain
Journal of the Mathematical Society of Japan, 1993 The author deals with partial degeneration of a domain (the Dumbbell shaped domain) and an asymptotic behavior of a certain class of eigenvalues of the Laplacian with Neumann boundary conditions. For small \(\zeta>0\), the domain \(\Omega(\zeta)\) is expressed as follows \(\Omega(\zeta)=D_ 1\cup D_ 2\cup Q(\zeta)\subset\mathbb{R}^ n\) where \(Q(\zeta)\)
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Perturbation theory for plasmonic eigenvalues [PDF]
Physical Review B, 2009 We develop a perturbative approach for calculating, within the quasistatic approximation, the shift of surface resonances in response to a deformation of a dielectric volume. Our strategy is based on the conversion of the homogeneous system for the potential which determines the plasmonic eigenvalues into an inhomogeneous system for the potential's ...
Grieser, Daniel +5 more
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Advanced Materials Technologies, EarlyView.A sensor is fabricated that reflects electromagnetic waves wirelessly using only edible materials. The substrate is made of edible materials such as sugar and starch, and the electrodes are made of gold. This sensor has isotropic electromagnetic wave characteristics in response to rotation.
Ryosuke Matsuda +5 more
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A Modal Perturbation Method for Eigenvalue Problem of Non-Proportionally Damped System
Applied Sciences, 2020 The non-proportionally damped system is very common in practical engineering structures. The dynamic equations for these systems, in which the damping matrices are coupled, are very time consuming to solve.
Danguang Pan +4 more
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Optimizing Rayleigh quotient with symmetric constraints and their applications to perturbations of the structured polynomial eigenvalue problem [PDF]
, 2021 Anshul Prajapati, Punit Sharma
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Bound States in the Continuum in Metasurface Absorbers: A Comparison with Metasurfaces
Advanced Photonics Research, EarlyView.Bound states in the continuum (BICs) offer a powerful mechanism for enhancing light–matter interactions. This work systematically investigates the radiation characteristics of BICs under both transmission and reflection configurations using multipolar analysis.
Guizhen Xu +3 more
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Teoría de perturbaciones de Brillouin-Wigner: Oscilador armónico perturbado
Momento, 1993 An harmonic oscillator is subject to a perturbation [Physical Formula] where [Physical Formula] is an eigenket of the momentum operator. The Brillouin-Wigner perturbation theory is applied to solve the eigenvalue equation of the perturbed Hamiltonian.
D. Campos
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