Time-independent perturbation for leaking electromagnetic modes in open systems with application to resonances in microdroplets

Lai, H. M.; Leung, P. T.; Young, K.; Barber, Peter W.; Hill, Steven C.

doi:10.1103/physreva.41.5187

Cited by 251 publications

(219 citation statements)

References 38 publications

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“…An appropriate normalizing factor for QNMs was first introduced by Zeldovich [7], and later generalized and applied to other situations [8], including models of linearized waves propagating on a Schwarzschild background [25]:…”

Section: B Normalization and Inner Product For Qnmsmentioning

confidence: 99%

“…With Im ω < 0 for QNMs (see Section I B), the exponential growth in |x| renders the wavefunction not normalizable in the usual sense. A generalized norm for QNMs was first introduced by Zeldovich [7] many years ago, and shown to be useful for time-independent perturbation theory (of the complex eigenvalues) [8]. An associated generalized inner product can also be defined [9].…”

Section: Introduction a Outlinementioning

confidence: 99%

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SUSY transformations for quasinormal modes of open systems

Leung

Brink

Suen

et al. 2001

Journal of Mathematical Physics

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Supersymmetry (SUSY) in quantum mechanics is extended from square-integrable states to those satisfying the outgoing-wave boundary condition, in a Klein-Gordon formulation. This boundary condition allows both the usual normal modes and quasinormal modes with complex eigenvalues ω. The simple generalization leads to three features: the counting of eigenstates under SUSY becomes more systematic; the linear-space structure of outgoing waves (nontrivially different from the usual Hilbert space of square-integrable states) is preserved by SUSY; and multiple states at the same frequency (not allowed for normal modes) are also preserved. The existence or otherwise of SUSY partners is furthermore relevant to the question of inversion: are open systems uniquely determined by their complex outgoing-wave spectra?

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Section: B Normalization and Inner Product For Qnmsmentioning

confidence: 99%

Section: Introduction a Outlinementioning

confidence: 99%

SUSY transformations for quasinormal modes of open systems

Leung

Brink

Suen

et al. 2001

Journal of Mathematical Physics

Self Cite

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“…III, the pole expansion of the Green's dyadic in Eq. (12) should be restricted to a minimal convex volume enclosing the scatterer. Consequently, Eq.…”

Section: Pole Expansionmentioning

confidence: 99%

“…Several approaches have been suggested for the normalization of resonant states [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. This includes approximate formulations for highquality modes [23][24][25], the utilization of perfectly matched layers [14] or, equivalently, complex coordinates [11] in the exterior of the system, as well as numerical approaches [20,22].…”

Section: Introductionmentioning

confidence: 99%

How to calculate the pole expansion of the optical scattering matrix from the resonant states

Weiß

Muljarov

2018

Phys. Rev. B

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We present a formulation for the pole expansion of the scattering matrix of open optical resonators, in which the pole contributions are expressed solely in terms of the resonant states, their wave numbers, and their electromagnetic fields. Particularly, our approach provides an accurate description of the optical scattering matrix without the requirement of a fit for the pole contributions, or the restriction to geometries, or systems with low Ohmic losses. Hence, it is possible to derive the analytic dependence of the scattering matrix on the wave number with low computational effort, which allows for avoiding the artificial frequency discretization of conventional frequency-domain solvers of Maxwell's equations and for finding the optical far-and near-field response based on the physically meaningful resonant states. This is demonstrated for three test systems, including a chiral arrangement of nanoantennas, for which we calculate the absorption and the circular dichroism.

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“…T-matrix calculations of optical resonances in nonspherical particles and particle clusters [4,5,15,18,26,40,48,49,61,72,74,79,[86][87][88][92][93][94]100,154,155,164,169,183,184,197,198,199,211,228,233]. [12,24,25,42,95,113,138,139,189,190,191].…”

Section: T-matrix Calculations For Particles With One or Several (Eccmentioning

confidence: 99%

Comprehensive T-matrix reference database: A 2006–07 update

Mishchenko

Videen

Khlebtsov

et al. 2008

Journal of Quantitative Spectroscopy and Radiative Transfer

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a b s t r a c tThe T-matrix method is among the most versatile, efficient, and widely used theoretical techniques for the numerically exact computation of electromagnetic scattering by homogeneous and composite particles, clusters of particles, discrete random media, and particles in the vicinity of an interface separating two half-spaces with different refractive indices. This paper presents an update to the comprehensive database of Tmatrix publications compiled by us previously and includes the publications that appeared since 2007. It also lists several earlier publications not included in the original database.Published by Elsevier Ltd.

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Time-independent perturbation for leaking electromagnetic modes in open systems with application to resonances in microdroplets

Cited by 251 publications

References 38 publications

SUSY transformations for quasinormal modes of open systems

SUSY transformations for quasinormal modes of open systems

How to calculate the pole expansion of the optical scattering matrix from the resonant states

Comprehensive T-matrix reference database: A 2006–07 update

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