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In this thesis, the behavior of the electromagnetic field is studied, at optical frequencies, in the one-dimensional photonic crystals, using the theory of "Quasi-Normal Modes (QNM). The following thesis is inspired by the QNM theory,…

Optics · Physics 2011-06-02 Alessandro Settimi

We explore numerically, analytically, and experimentally the relationship between quasi-normal modes (QNMs) and transmission resonance (TR) peaks in the transmission spectrum of one-dimensional (1D) and quasi-1D open disordered systems. It…

Disordered Systems and Neural Networks · Physics 2015-11-03 Yury P. Bliokh , Valentin Freilikher , Z. Shi , A. Z. Genack , Franco Nori

1-Dimensional (1D) photonics crystals with and without defects have been numerically studied using efficient Transfer Matrix Method (TMM). Detailed numerical recipe of the TMM has been laid out. Dispersion relation is verified for the…

Classical Physics · Physics 2020-07-16 Shaolin Liao , Lu Ou

We present and validate a semi-analytical quasi-normal mode (QNM) theory for the local density of states (LDOS) in coupled photonic crystal (PhC) cavity-waveguide structures. By means of an expansion of the Green's function on one or a few…

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…

Quantum Physics · Physics 2025-08-01 Chris Gustin , Juanjuan Ren , Sebastian Franke , Stephen Hughes

We propose a special cavity design that is constructed by terminating a one-dimensional waveguide with a perfect mirror at one end and doping a two-level atom at the other. We show that this atom plays the intrinsic role of a…

Quantum Physics · Physics 2015-05-13 H. Dong , Z. R. Gong , H. Ian , Lan Zhou , C. P. Sun

Plasmonic gap structures are among the few configurations capable of generating extreme light confinement, finding applications in surface-enhanced spectroscopy, ultrasensitive detection, photocatalysis and more. Their plasmonic response…

Mesoscale and Nanoscale Physics · Physics 2025-02-21 Pu Zhang , Christos Tserkezis , N. Asger Mortensen

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…

Optics · Physics 2019-01-08 Mohamed Ismail Abdelrahman , Boris Gralak

Quasinormal modes (QNMs) are essential for understanding the stability and resonances of open systems, with increasing prominence in black hole physics. We present here the first study of QNMs of optical potentials. We show that solitons…

We employ a recently developed quantization scheme for quasinormal modes (QNMs) to study a nonperturbative open cavity-QED system consisting of a hybrid metal-dielectric resonator coupled to a quantum emitter. This hybrid cavity system…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Sebastian Franke , Marten Richter , Juanjuan Ren , Andreas Knorr , Stephen Hughes

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…

Optics · Physics 2024-04-12 Sebastian Franke , Juanjuan Ren , Stephen Hughes

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…

Optics · Physics 2010-09-20 A. Settimi , S. Severini

We study the relation between quasi-normal modes (QNMs) and transmission resonances (TRs) in one-dimensional (1D) disordered systems. We show for the first time that while each maximum in the transmission coefficient is always related to a…

Disordered Systems and Neural Networks · Physics 2014-07-21 Yury Bliokh , Valentin Freilikher , Franco Nori

In the presence of arbitrary three-dimensional linear media with material loss and amplification, we present an electromagnetic field quantization scheme for quasinormal modes (QNMs), extending previous work for lossy media [Franke et al.,…

Quantum Physics · Physics 2022-02-16 Sebastian Franke , Juanjuan Ren , Stephen Hughes

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…

Quantum Physics · Physics 2009-10-31 K. C. Ho , P. T. Leung , Alec Maassen van den Brink , K. Young

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…

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…

We introduce a second quantization scheme based on quasinormal modes, which are the dissipative modes of leaky optical cavities and plasmonic resonators with complex eigenfrequencies. The theory enables the construction of…

Strong collective interaction of atoms with an optical cavity causes normal mode splitting of the cavity's resonances, whose width is given by the collective coupling strength. At low optical density of the atomic cloud the intensity…

Quasi-normal modes (QNMs) and coherent control of light-matter interactions (through synchronized multiple coherent incident waves) are profound and pervasive concepts in and beyond photonics, making accessible photonic manipulations with…

Optics · Physics 2025-02-26 Jingwei Wang , Pengxiang Wang , Chaofan Zhang , Yuntian Chen , Wei Liu
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