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

  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},
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… 

Figures from this paper

Quasi-normal mode expansion as a tool for the design of nanophotonic devices

Many nanophotonic devices rely on the excitation of photonic resonances to enhance light-matter interaction. The understanding of the resonances is therefore of a key importance to facilitate the

Efficient hybrid method for the modal analysis of optical microcavities and nanoresonators.

This work proposes a novel hybrid method for accurately and efficiently analyzing microcavities and nanoresonators that combines the marked spirit of quasinormal mode expansion approaches with the renowned strengths of real-frequency simulations, e.g., accuracy and flexibility.

Modal analysis of photonic and plasmonic resonators

Determining the electromagnetic field response of photonic and plasmonic resonators is a formidable task in general. Field expansions in terms of quasi-normal modes (QNMs) are often used, since only

Modal analysis of photonic and plasmonic resonators.

  • Jörn ZimmerlingR. Remis
  • Physics
    Optics express
  • 2020
By exploiting the structure of Maxwell's equations, conjugate-symmetric frequency-domain field expansions can be efficiently computed via a Lanczos-type algorithm and Dominant QNMs can be identified a posteriori with error control and without a priori mode selection.

Quasinormal mode expansion of optical far-field quantities

Quasinormal mode (QNM) expansion is a popular tool to analyze light-matter interaction in nanoresonators. However, expanding far-field quantities such as the energy flux is an open problem because

Enhanced Purcell factor for nanoantennas supporting interfering resonances

We study the effect of coupled resonances and quasi-bound states in the continuum (quasi-BICs) on the Purcell factor in dielectric resonant nanoantennas. We analyze numerically interfering resonances

Quasinormal modes expansions for nanoresonators made of absorbing dielectric materials: study of the role of static modes.

This study shows that the importance of static modes are of prime importance in an expansion truncated to only a few modes, by considering light scattering by a silicon nanosphere.

Modal analysis for nanoplasmonics with nonlocal material properties

Plasmonic devices with feature sizes of few nanometers exhibit effects which can be described by the nonlocal hydrodynamic Drude model. We demonstrate how to exploit contour integral methods for

Modeling of resonant optical nanostructures with semi-analytical methods based on the object eigenmodes

The presented thesis is dedicated to the development of semi-analytical accurate models for the numerical calculation of resonant nanophotonic devices. In particular, it concerns photonic crystal

Quasinormal mode solvers for resonators with dispersive materials.

  • P. LalanneW. Yan T. Weiss
  • Physics
    Journal of the Optical Society of America. A, Optics, image science, and vision
  • 2019
This work benchmarks several methods for implementing efficient and accurate QNM solvers for computing and normalizing the QNMs of micro- and nanoresonators made of highly dispersive materials, and compares them to elaborate standards for the computation of resonance modes.



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