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We show that for optical cavities with any finite dissipation, the term "cavity mode" should be understood as a solution to the Helmholtz equation with outgoing wave boundary conditions. This choice of boundary condition renders the problem…

Mathematical Physics · Physics 2013-12-13 Philip Trøst Kristensen , Cole Van Vlack , Stephen Hughes

We present a modal approach to compute the Purcell factor in Mie resonators exhibiting both electric and magnetic resonances. The analytic expressions of the normal modes are used to calculate the effective volumes. We show that important…

Optics · Physics 2016-02-29 Xavier Zambrana-Puyalto , Nicolas Bonod

Recently the photonic golden rule, which predicts that the spontaneous emission rate of an atom depends on the projected local density of states (LDOS), was shown to fail in an optical medium with a linear gain amplifier. We present a…

Optics · Physics 2024-01-31 Juanjuan Ren , Sebastian Franke , Becca VanDrunen , Stephen Hughes

The Purcell effect describes the enhancement of the spontaneous emission rate of an emitter near a resonant structure. However, evaluating the Purcell factor quantitatively and empirically is difficult due to the difficulties in measuring…

Optics · Physics 2025-01-15 Joshua T. Y. Tse , Shunsuke Murai , Katsuhisa Tanaka

Cavity mode theory and analysis of open cavities and plasmonic particles is an essential component of optical resonator physics, offering considerable insight and efficiency for connecting to classical and quantum optical properties such as…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Mohsen Kamandar Dezfouli , Stephen Hughes

We study the modification of the atomic spontaneous emission rate, i.e. Purcell effect, of $^{87}$Rb in the vicinity of an optical nanofiber ($\sim$500 nm diameter). We observe enhancement and inhibition of the atomic decay rate depending…

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 provide the same result. Regardless of the…

Optics · Physics 2015-12-03 Philip Trøst Kristensen , Rong-Chun Ge , Stephen Hughes

We study the radiative decay rate and Purcell effect for a finite-size dipole emitter placed in a homogeneous uniaxial medium. We demonstrate that the radiative rate is strongly enhanced when the signs of the longitudinal and transverse…

Optics · Physics 2012-08-31 Alexander N. Poddubny , Pavel A. Belov , Yuri S. Kivshar

The Purcell effect is defined as the modification of spontaneous decay in the presence of a resonator, and in plasmonics it is usually associated with the large local-field enhancement in "hot spots" due to surface plasmon polaritons. Here…

We study the spontaneous emission rate of a dipole emitter in $\mathcal{PT}$-symmetric environment of two coupled waveguides using the reciprocity approach generalized to non-orthogonal eigenmodes of non-Hermitian systems. Considering…

Optics · Physics 2021-01-22 Fyodor Morozko , Andrey Novitsky , Alina Karabchevsky

The Purcell effect is usually described as a modification of the spontaneous decay rate in the presence of a resonator. In plasmonics, this effect is commonly associated with a large local-field enhancement in "hot spots" due to the…

We investigate spontaneous emission from a quantum emitter located within the mode volume of a microring resonator that features chiral exceptional points. We show that this configuration offers enough degrees of freedom to exhibit a full…

Optics · Physics 2021-03-17 Q. Zhong , A. Hashemi , S. K. Ozdemir , R. El-Ganainy

The Purcell effect - the modification of the spontaneous emission rate in presence of resonant cavities or other resonant objects - is a fundamental effect of quantum electrodynamics. However, a change of the emission rate caused by…

Based on the reciprocity theorem, we present a formalism to calculate the power emitted by a dipole source into a particular propagating mode leaving an open optical system. The open system is completely arbitrary and the approach can be…

Optics · Physics 2018-07-20 K. M. Schulz , D. Jalas , A. Y. Petrov , M. Eich

We study the spontaneous emission of a dipole emitter imbedded into a layered metal-dielectric metamaterial. We demonstrate ultra-high values of the Purcell factor in such structures due to a high density of states with hyperbolic…

Optics · Physics 2015-05-30 Ivan Iorsh , Alexander Poddubny , Alexey Orlov , Pavel Belov , Yuri Kivshar

Open phononic systems including resonators radiating inside an unbounded medium support localized phonons characterized by a complex frequency. In this context, the concept of elastic quasinormal mode (QNM) arises naturally, as in the cases…

Classical Physics · Physics 2023-04-06 Vincent Laude , Yan-Feng Wang

The rate of spontaneous emission is known to depend on the environment of a light source, and the enhancement of one-photon emission in a resonant cavity is known as the Purcell effect. Here we develop a theory of spontaneous two-photon…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 Alexander N. Poddubny , Pavel Ginzburg , Pavel A. Belov , Anatoly V. Zayats , Yuri S. Kivshar

The radiation dynamics of optical emitters can be manipulated by properly designed material structures providing high local density of photonic states, a phenomenon often referred to as the Purcell effect. Plasmonic nanorod metamaterials…

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

We first present a quasinormal mode (QNM) theory for coupled loss-gain resonators working near an exceptional point. Assuming linear media, which can be fully quantified using the complex pole properties of the QNMs, we show how the QNMs…

Optics · Physics 2021-11-04 Juanjuan Ren , Sebastian Franke , Stephen Hughes
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