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In this paper, we use the 'Quasi Normal Modes' (QNM) approach for discussing the transmission properties of double-side opened optical cavities: in particular, this approach is specified for one dimensional (1D) 'Photonic Band Gap' (PBG)…

光学 · 物理学 2009-06-04 A. Settimi , S. Severini , B. J. Hoenders

The present paper proposes a comparison between the extinction theorem and the Sturm-Liouville theory approaches for calculating the e.m. field inside an optical cavity. We discuss for the first time to the best of our knowledge, in the…

光学 · 物理学 2010-09-20 A. Settimi , S. Severini

An open system is not conservative because energy can escape to the outside. An open system by itself is thus not conservative. As a result, the time-evolution operator is not hermitian in the usual sense and the eigenfunctions (factorized…

广义相对论与量子宇宙学 · 物理学 2008-11-26 E. S. C. Ching , P. T. Leung , W. M. Suen , S. S. Tong , K. Young

Full-wave numerical methods based on quasinormal modes (QNMs) offer valuable physical insights and computational efficiency for analyzing electromagnetic resonators. However, despite their advantages, many researchers in electromagnetism…

光学 · 物理学 2026-05-01 Tong Wu , Philippe Lalanne

A fundamental feature of the quasi-normal modes (QNMs), which describe light interaction with open (leaky) systems like nanoparticles, lies in the question of the completeness of the QNMs representation and in the divergence of their field…

光学 · 物理学 2019-01-08 Mohamed Ismail Abdelrahman , Boris Gralak

The temporal response of open systems is marked by damped oscillations. These oscillations, often referred to as ringings, are the signature of the decay of quasinormal modes (QNMs). A major research objective across various fields is to…

光学 · 物理学 2024-11-28 Tong Wu , Jose Luis Jaramillo , Philippe Lalanne

Resonances, also known as quasi normal modes (QNM) in the non-Hermitian case, play an ubiquitous role in all domains of physics ruled by wave phenomena, notably in continuum mechanics, acoustics, electrodynamics, and quantum theory. In this…

The idea of the modal expansion in electromagnetics is derived from the research on electromagnetic resonators, which play an essential role in developments in nanophotonics. All of the electromagnetic resonators share a common property:…

光学 · 物理学 2020-10-28 Minh Duy Truong

A quasimodal expansion method (QMEM) is developed to model and understand the scattering properties of arbitrary shaped two-dimensional (2-D) open structures. In contrast with the bounded case which have only discrete spectrum (real in the…

光学 · 物理学 2015-06-17 Benjamin Vial , Frédéric Zolla , André Nicolet , Mireille Commandré

Phenomenological approaches to photon loss have long been the workhorse of cavity-QED, but prove inadequate in the presence of sufficiently broadband light-matter interactions. We present a rigorous and ab initio derivation of a quantum…

量子物理 · 物理学 2025-08-01 Chris Gustin , Juanjuan Ren , Sebastian Franke , Stephen Hughes

Micro- and nanoresonators, which enable light trapping in small volumes for extended durations, play a crucial role in modern photonics. The optical response of these resonators is determined by their fundamental resonances, known as…

光学 · 物理学 2024-08-27 Tong Wu , Philippe Lalanne

We investigate the quantum electrodynamics of a single two-level atom located at the focus of a parabolic cavity. We first work out the modifications of the spontaneous emission induced by the presence of this boundary in the optical…

量子物理 · 物理学 2013-08-16 G. Alber , J. Z. Bernád , M. Stobińska , L. L. Sánchez-Soto , G. Leuchs

Field quantization in three dimensional unstable optical systems is treated by expanding the vector potential in terms of non-Hermitean (Fox-Li) modes in both the cavity and external regions. The cavity non-Hermitean modes (NHM) are treated…

量子物理 · 物理学 2009-11-07 S. A. Brown , B. J. Dalton

This paper investigates the dynamic behavior of static, spherically symmetric black holes within the Einstein-Bumblebee gravity model with a cosmological constant, focusing on scalar field perturbations. Through separation of the angular…

广义相对论与量子宇宙学 · 物理学 2025-04-08 Hao Hu , Guoxiong Zhu

We investigate the quasinormal modes (QNMs) of Planck stars within the framework of scale-dependent gravity (SDG). In our setup, the running parameter $\alpha$ is fixed to a negative value by matching the effective Newtonian potential to…

广义相对论与量子宇宙学 · 物理学 2026-02-24 Davide Batic , Denys Dutykh , Fabio Scardigli

We give insight into the critical problem of an open resonator that is subject to a perturbation outside of its cavity region. We utilize the framework of quasinormal modes (QNMs), which are the natural mode solutions to the open boundary…

光学 · 物理学 2024-04-12 Sebastian Franke , Juanjuan Ren , Stephen Hughes

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 QNMs diverge with an increasing distance to…

Resonances in the form of quasi-normal modes (QNMs) for open scattering systems can be generally identified in the far field through peaks of scattering spectra (\textit{e.g.} cross sections of scattering, extinction and absorption).…

光学 · 物理学 2025-03-14 Jingwei Wang , Yuntian Chen , Wei Liu

The second-quantization of a scalar field in an open cavity is formulated, from first principles, in terms of the quasinormal modes (QNMs), which are the eigensolutions of the evolution equation that decay exponentially in time as energy…

量子物理 · 物理学 2009-10-31 K. C. Ho , P. T. Leung , Alec Maassen van den Brink , K. Young

The unprecedented pace of evolution in nanoscale architectures for cavity quantum electrodynamics (cQED) has posed crucial challenges for theory, where the quantum dynamics arising from the non-perturbative dressing of matter by cavity…

光学 · 物理学 2025-12-22 Lars Meschede , Daniel D. A. Clarke , Ortwin Hess
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