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The multipole expansion of a nano-photonic structure's electromagnetic response is a versatile tool to interpret optical effects in nano-optics, but it only gives access to the modes that are excited by a specific illumination. In…

Meta-atoms, nano-antennas, plasmonic particles and other small scatterers are commonly modeled in terms of their modes. However these modal solutions are seldom determined explicitly, due to the conceptual and numerical difficulties in…

Optics · Physics 2014-08-08 David A. Powell

The resonant state expansion, a recently developed method in electrodynamics, is generalized here to planar open optical systems with non-normal incidence of light. The method is illustrated and verified on exactly solvable examples, such…

Optics · Physics 2015-05-05 L. J. Armitage , M. B. Doost , W. Langbein , E. A. Muljarov

We apply a rigorous eigenmode analysis to study the electromagnetic properties of linear and weakly nonlinear metamaterials. The nonlinear response can be totally described by the linear eigenmodes when weak nonlinearities are attributed to…

Optics · Physics 2015-06-03 Y. Zeng , D. A. R. Dalvit , J. O'Hara , S. A. Trugman

A novel theoretical approach to the dynamics analysis of excitation of plasmon modes in nanoparticles is presented. This approach is based on the biorthogonal plasmon mode expansion and it leads to the predictions of time-dynamics of…

Materials Science · Physics 2007-05-23 Isaak D. Mayergoyz , Zhenyu Zhang , Giovanni Miano

We present a new paradigm in the field of photonic crystals and metamaterials, applying the resonant-state expansion (RSE) to planar photonic-crystal structures. The RSE allows us to understand and quantify optical resonances in…

Optics · Physics 2020-04-29 Sam Neale , Egor Muljarov

Miniaturized optical resonators with spatial dimensions of the order of the wavelength of the trapped light offer prospects for a variety of new applications like quantum processing or construction of meta-materials. Light propagation in…

Computational Physics · Physics 2009-05-28 L. Zschiedrich , S. Burger , B. Kettner , F. Schmidt

Nonlocal effects have been shown to be responsible for a variety of non-trivial optical effects in small-size plasmonic nanoparticles, beyond classical electrodynamics. However, it is not clear whether optical mode descriptions can be…

We investigate plasmon resonances for curved nanorods which present anisotropic geometries. We analyze quantitative properties of the plasmon resonance and its relationship to the metamaterial configurations and the anisotropic geometries…

Analysis of PDEs · Mathematics 2020-07-23 Youjun Deng , Hongyu Liu , Guanghui Zheng

The review presents an analysis and generalization of classical and most modern approaches to the description and development of operation of open optical nanoresonators, that is, resonators all sizes of which are smaller than the resonant…

Optics · Physics 2023-03-17 Vasily V. Klimov

We provide a self-consistent electromagnetic theory of the coupling between dipole emitters and dissipative nanoresonators. The theory that relies on the concept of quasi-normal modes with complex frequencies provides an accurate…

Mesoscale and Nanoscale Physics · Physics 2017-05-25 C. Sauvan , J. P. Hugonin , I. S. Maksymov , P. Lalanne

This work presents an updated version of the previously released freeware MAN (Modal Analysis of Nanoresonators) [Comput Phys Commun 284, 108627 (2023)], a software package designed to efficiently compute and normalize quasinormal modes…

Optics · Physics 2026-04-17 Thomas Christopoulos , Tong Wu , P. Lalanne

We theoretically investigate several types of plasmonic slot waveguides for enhancing the measured signal in Raman spectroscopy, which is a consequence of electric field and Purcell factor enhancements, as well as an increase in…

The accurate calculation of guided electromagnetic modes in optical nanofibres is critical for applications in nanophotonics, from quantum interfaces to vectorial light sensing. Standard textbook methods rely on solving a $4\times4$ matrix…

Optics · Physics 2026-02-17 Sebastian Golat , Francisco J. Rodríguez-Fortuño

In this paper we use the full Maxwell equations for light propagation in order to analyze plasmonic resonances for nanoparticles. We mathematically define the notion of plasmonic resonance and analyze its shift and broadening with respect…

Analysis of PDEs · Mathematics 2015-11-24 Habib Ammari , Matias Ruiz , Sanghyeon Yu , Hai Zhang

Strong coupling of plasmonic excitations and dipolar emitters, such as organic molecules, have been studied extensively in the last years. The questions whether strong coupling can be achieved with a single molecule only and how this is…

The study of nanostructured artificial media for optics has expanded rapidly over the last few decades, coupled with improvements of fabrication technology that have enabled investigation of previously unrealisable optical scattering…

Optics · Physics 2017-09-27 Ben Hopkins

For all applications of plasmonics to technology it is required to tailor the resonance to the optical system in question. This chapter gives an understanding of the design considerations for nanoparticles needed to tune the resonance.…

Optics · Physics 2015-02-02 Phillip Manley , Sven Burger , Frank Schmidt , Martina Schmid

A new rigorous approach for precise and efficient calculation of light propagation along non-uniform waveguides is presented. Resonant states of a uniform waveguide, which satisfy outgoing-wave boundary conditions, form a natural basis for…

Optics · Physics 2017-06-22 S. V. Lobanov , G. Zoriniants , W. Langbein , E. A. Muljarov

Investigating nanoplasmonics using time-dependent approaches permits shedding light on the dynamic optical properties of plasmonic structures, which are intrinsically connected with their potential applications in photochemistry and…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 Piero Lafiosca , Luca Nicoli , Silvio Pipolo , Stefano Corni , Tommaso Giovannini , Chiara Cappelli