Riesz-projection-based theory of light-matter interaction in dispersive nanoresonators

@article{Zschiedrich2018RieszprojectionbasedTO,
  title={Riesz-projection-based theory of light-matter interaction in dispersive nanoresonators},
  author={Lin Zschiedrich and Felix Binkowski and Niko Nikolay and Oliver Benson and G{\"u}nter Kewes and Sven Burger},
  journal={Physical Review A},
  year={2018}
}
A theory based on Riesz projections is introduced to analyze the coupling of light sources to resonant states of nanostructures. The concept applies to general dispersive media without the explicit use of a mode orthogonality relation and allows for the precise quantification of the interaction with the nonresonant background. Exemplarily, a numerical implementation of the theory is used for the computation of modal Purcell factors of an emitter embedded into a dielectric nanoresonator… 
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References

SHOWING 1-10 OF 49 REFERENCES

Rigorous modal analysis of plasmonic nanoresonators

By accounting for material dispersion with auxiliary fields, this work considerably extends the capabilities of modal-expansion formalisms, in terms of computational effectiveness, number of states handled and range of validity, and offers a solid theoretical foundation for analyzing important issues, e.g. Fano interference, quenching, coupling with the continuum, which are critical in nanophotonic research.

Photonic and plasmonic nanoresonators: a modal approach

Photonic and plasmonic resonators are dielectric or metallic optical devices that confine light at a scale smaller than the wavelength. The eigenmodes of the system are obviously powerful and…

Theory of the spontaneous optical emission of nanosize photonic and plasmon resonators.

A self-consistent electromagnetic theory of the coupling between dipole emitters and dissipative nanoresonators that predicts that a spectral detuning between the emitter and the resonance does not necessarily result in a Lorentzian response in the presence of dissipation.

Light Interaction with Photonic and Plasmonic Resonances

In this Review, the theory and applications of optical micro‐ and nano‐resonators are presented from the underlying concept of their natural resonances, the so‐called quasi‐normal modes (QNMs). QNMs…

Numerical analysis of nanostructures for enhanced light extraction from OLEDs

The main focus of this paper is the simulation of a single dipole source embedded into a twofold infinitely periodic OLED structure and the Floquet transform is applied, so that the computational domain reduces to the unit cell.

Modal theory of modified spontaneous emission of a quantum emitter in a hybrid plasmonic photonic-crystal cavity system

We present an analytical modal description of the rich physics involved in hybrid plasmonic-photonic devices that is confirmed by full dipole solutions of Maxwell's equations. Strong…

Comment on "Normalization of quasinormal modes in leaky optical cavities and plasmonic resonators"

Recently, Kristensen, Ge and Hughes have compared [Phys. Rev. A 92, 053810 (2015)] three di�erent methods for normalization of quasinormal modes in open optical systems, and concluded that they all…

Resonant-state expansion of dispersive open optical systems: Creating gold from sand

A resonant-state expansion (RSE) for open optical systems with a general frequency dispersion of the permittivity is presented. The RSE of dispersive systems converts Maxwell's wave equation into a…

Normalization of quasinormal modes in leaky optical cavities and plasmonic resonators

We discuss three formally different formulas for normalization of quasinormal modes currently in use for modeling optical cavities and plasmonic resonators and show that they are complementary and…

Modes and Mode Volumes of Leaky Optical Cavities and Plasmonic Nanoresonators

Electromagnetic cavity modes in photonic and plasmonic resonators offer rich and attractive regimes for tailoring the properties of light–matter interactions, yet there is a disturbing lack of a…