The generalized natural-oscillation method in diffraction theory

Voitovich, N. N.; Katsenelenbaum, B. Z.; Sivov, A N

doi:10.1070/pu1976v019n04abeh005253

Cited by 18 publications

(24 citation statements)

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“…This method was developed in [ 46 , 47 ], and it allows one to find the near field of an NP from its plasmonic spectrum, i.e., eigenfunctions

and

, satisfying Maxwell’s equations

…”

Section: The Near Field Of An Np In An External Electromagnetic Fieldmentioning

confidence: 99%

Quantum Optics in Nanostructures

Vladimirova

Zadkov

2021

Nanomaterials

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This review is devoted to the study of effects of quantum optics in nanostructures. The mechanisms by which the rates of radiative and nonradiative decay are modified are considered in the model of a two-level quantum emitter (QE) near a plasmonic nanoparticle (NP). The distributions of the intensity and polarization of the near field around an NP are analyzed, which substantially depend on the polarization of the external field and parameters of plasmon resonances of the NP. The effects of quantum optics in the system NP + QE plus external laser field are analyzed—modification of the resonance fluorescence spectrum of a QE in the near field, bunching/antibunching phenomena, quantum statistics of photons in the spectrum, formation of squeezed states of light, and quantum entangled states in these systems.

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“…This method was developed in [ 46 , 47 ], and it allows one to find the near field of an NP from its plasmonic spectrum, i.e., eigenfunctions

and

, satisfying Maxwell’s equations

…”

Section: The Near Field Of An Np In An External Electromagnetic Fieldmentioning

confidence: 99%

Quantum Optics in Nanostructures

Vladimirova

Zadkov

2021

Nanomaterials

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“…Electric field near the nanoparticle can be found generally in the quasistatic approximation using the multipole expansion over the spherical harmonics Y lm (ϕ, θ), 31 where ϕ and θ are angles of the spherical coordinates while the integers: l = 0, 1, . .…”

Section: A Hamiltonianmentioning

confidence: 99%

“…, where ω pl is the plasma frequency of the nanoparticle material, see, e.g., Ref. 19,31 for a review. Important property of this expression is the condensation of the plasmon modes 32 near the point,…”

Section: A Hamiltonianmentioning

confidence: 99%

Lacunas in the optical force induced by quantum fluctuations of quasicontinuum of multipole plasmons

Andrianov,

Chtchelkatchev,

Pukhov

2014

Preprint

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We investigate the force between plasmonic nanoparticle and highly excited two-level system (molecule). Usually van der Waals force between nanoscale electrically neutral systems is monotonic and attractive at moderate and larger distances and repulsive at small distances. In our system, the van der Waals force acting on molecule has optical nature. At moderate distances it is attractive as usual but its strength highly increases in a narrow distance ranges ("lacunas"). We show that quantum fluctuations of (quasi)continuum of multipole plasmons of high, nearly infinite degree altogether form effective environment and determine the interaction force while their spectral peculiarities stand behind the large and narrow lacunas in force. We solve exactly the Hamiltonian problem and discuss the role of the dissipation.

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“…For example, some boundary-value problems with transmission condition arise in heat and mass transfer problems (see, e.g., [40]), in vibrating-string problems where the string is additionally loaded by point masses (see, e.g., [37]), and in diffraction problems (see, e.g., [39]). Moreover, some problems with boundary conditions depending on a spectral parameter occur in the theory of small vibrations of a damped string and in the problem of freezing of a liquid (see, e.g., [36][37][38]).…”

Section: Introductionmentioning

confidence: 99%

On impulsive Sturm–Liouville operators with Coulomb potential and spectral parameter linearly contained in boundary conditions

2011

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The Sturm-Liouville problem with linear discontinuities is investigated in the case where an eigenparameter appears not only in a differential equation but also in boundary conditions. Properties and the asymptotic behavior of spectral characteristics are studied for the Sturm-Liouville operators with Coulomb potential that have discontinuity conditions inside a finite interval. Moreover, the Weyl function for this problem is defined and uniqueness theorems are proved for a solution of the inverse problem with respect to this function.C sin kx C˛ sin k.2d x/ for x > d;

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The generalized natural-oscillation method in diffraction theory

Cited by 18 publications

References 0 publications

Quantum Optics in Nanostructures

Quantum Optics in Nanostructures

Lacunas in the optical force induced by quantum fluctuations of quasicontinuum of multipole plasmons

On impulsive Sturm–Liouville operators with Coulomb potential and spectral parameter linearly contained in boundary conditions

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