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The resonant state expansion (RSE), a rigorous perturbative method in electrodynamics, is developed for three-dimensional open optical systems. Results are presented using the analytically solvable homogeneous dielectric sphere as…

光学 · 物理学 2015-05-05 M. B. Doost , W. Langbein , E. A. Muljarov

We present two alternative complete sets of static modes of a homogeneous dielectric sphere, for their use in the resonant-state expansion (RSE), a rigorous perturbative method in electrodynamics. Physically, these modes are needed to…

光学 · 物理学 2019-12-10 S. V. Lobanov , W. Langbein , E. A. Muljarov

A resonant-state expansion (RSE) for open optical systems with a general frequency dispersion of the relative permittivity, described by a finite number of simple poles, is presented. As in the non-dispersive case, the RSE of dispersive…

介观与纳米尺度物理 · 物理学 2016-02-10 E. A. Muljarov , W. Langbein

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…

光学 · 物理学 2020-04-29 Sam Neale , Egor Muljarov

The resonant state expansion (RSE), a rigorous perturbative method in electrodynamics, is applied to two-dimensional open optical systems. The analytically solvable homogeneous dielectric cylinder is used as unperturbed system, and its…

光学 · 物理学 2015-05-05 M. B. Doost , W. Langbein , E. A. Muljarov

Exceptional points (EPs) in open optical systems are rigorously studied using the resonant-state expansion (RSE). A spherical resonator, specifically a homogeneous dielectric sphere in a vacuum, perturbed by two point-like defects which…

光学 · 物理学 2024-09-18 Kyle S. Netherwood , Hannah K. Riley , Egor A. Muljarov

The resonant-state expansion (RSE), a rigorous perturbative method developed in electrodynamics for non-dispersive optical systems is applied to media with an Ohm's law dispersion, in which the frequency dependent part of the permittivity…

光学 · 物理学 2015-08-18 M. B. Doost , W. Langbein , E. A. Muljarov

We adapt the resonant state expansion to optical fibers such as capillary and photonic crystal fibers. As a key requirement of the resonant state expansion and any related perturbative approach, we derive the correct analytical…

光学 · 物理学 2018-08-29 S. Upendar , I. Allayarov , M. A. Schmidt , T. Weiss

The resonant state expansion (RSE), a novel perturbation theory of Brillouin-Wigner type developed in electrodynamics [Muljarov, Langbein, and Zimmermann, Europhys. Lett., 92, 50010(2010)], is applied to planar, effectively one-dimensional…

光学 · 物理学 2012-05-16 M. B. Doost , W. Langbein , E. A. Muljarov

The dispersive resonant-state expansion, developed for an accurate calculation of the resonant states in open optical systems with frequency dispersion, is applied here to realistic materials, such as metallic nanoparticles and…

光学 · 物理学 2020-01-29 Hame Sehmi , Wolfgang Langbein , Egor Muljarov

The resonant-state expansion (RSE) Born approximation, a rigorous perturbative method developed for electrodynamic and quantum mechanical open systems, is further developed to treat waveguides with a Sellmeier dispersion. For media that can…

光学 · 物理学 2016-08-16 M. B. Doost

The whispering gallery modes (WGMs) of optical resonators have prompted intensive research efforts due to their usefulness in the field of biological sensing, and their employment in nonlinear optics. While much information is available in…

Whispering gallery modes [WGM] are resonant modes displaying special features: They concentrate along the boundary of the optical cavity at high polar frequencies and they are associated with complex scattering resonances very close to the…

谱理论 · 数学 2022-07-27 Stéphane Balac , Monique Dauge , Zoïs Moitier

We study resonant mode conversion in the PT-symmetric multimode waveguides, where symmetry breaking manifests itself in sequential destabilization (appearance of the complex eigenvalues) of the pairs of adjacent guided modes. We show that…

光学 · 物理学 2015-06-23 Victor A. Vysloukh , Yaroslav V. Kartashov

We present an optical mode solver for a whispering gallery resonator coupled to an adjacent arbitrary shaped nano-particle that breaks the axial symmetry of the resonator. Such a hybrid resonator-nanoparticle is similar to what was recently…

We propose the use of an optically trapped, dye doped polystyrene microsphere for spatial probing of the refractive index at any position in a fluid. We demonstrate the use of the dye embedded in the microsphere as an internal broadband…

光学 · 物理学 2015-06-26 P. Zijlstra , K. L. van der Molen , A. P. Mosk

The resonant-state expansion (RSE) provides a precise and computationally cheap tool to find resonant states in complex systems using the optical modes of a simpler system as a basis. We apply the RSE to a photonic crystal slab in order to…

光学 · 物理学 2021-04-14 Sam Neale , Egor Muljarov

A rigorous method of calculating the electromagnetic field, the scattering matrix, and scattering cross-sections of an arbitrary finite three-dimensional optical system described by its permittivity distribution is presented. The method is…

光学 · 物理学 2018-09-26 S. V. Lobanov , W. Langbein , E. A. Muljarov

Numerical evolutions of whispering gallery modes of both isotropic and anisotropic spheroidal resonators are presented and used to build analytical approximations of these modes. Such approximations are carried out mainly to have the…

光学 · 物理学 2014-05-14 Marco Ornigotti , Andrea Aiello

Liquid crystal whispering gallery mode microlasers show high sensitivity to external stimuli and distinct spectral features, rendering them ideally suited for various sensing applications. They also offer intrinsic anisotropic optical…

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