Collective Plasmon-Modes in Gain Media: Quantum Emitters and by V.A.G. Rivera, O.B. Silva, Y. Ledemi, Y. Messaddeq, E.

By V.A.G. Rivera, O.B. Silva, Y. Ledemi, Y. Messaddeq, E. Marega Jr.

This ebook represents the 1st targeted description, together with either theoretical points and experimental tools, of the interplay of rare-earth ions with floor plasmon polariton from the perspective of collective plasmon-photon interactions through resonance modes (metal nanoparticles or nanostructure arrays) with quantum emitters (rare-earth ions). those interactions are of specific curiosity for purposes to optical telecommunications, optical monitors, and laser reliable nation applied sciences. therefore, our major aim is to provide a extra certain review of the speedily rising box of nanophotonics via the examine of the quantum homes of sunshine interplay with subject on the nanoscale. during this method, collective plasmon-modes in a achieve medium consequence from the interaction/coupling among a quantum emitter (created by way of rare-earth ions) with a steel floor, inducing assorted results resembling the polarization of the steel electrons (so-called floor plasmon polariton - SPP), a box enhancement sustained by means of resonance coupling, or move of power as a result of non-resonant coupling among the metal nanostructure and the optically lively surrounding medium. those results counteract the absorption losses within the steel to augment luminescence homes or maybe to manage the polarization and section of quantum emitters. The engineering of plasmons/SPP in achieve media constitutes a brand new box in nanophotonics technological know-how with a big technological capability in built-in optics/photonics on the nanoscale in line with the keep watch over of quantum results. This publication may be an important instrument for scientists, engineers, and graduate and undergraduate scholars not just in a brand new frontier of basic physics, but in addition within the recognition of nanophotonic units for optical telecommunication.

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For the first-order allowed MD transition radiation, the free atom selection rules are still quite valid: ΔS ¼ ΔL ¼ 0 and ΔJ ¼ 0, Æ 1(0 6¼ 0). For ED transitions, we have: ΔL ¼ Æ 1, ΔS ¼ 0, |ΔL|, |ΔJ| 2l. , the selection rules with regard to the L, S, and J quantum numbers are now essentially governed by the crystal field interaction, yielding approximately |ΔJ| 6. For the electric quadrupole case, the selection rules are: ΔS ¼ 0, |ΔL|, |ΔJ| 2. The Judd–Ofelt theory is also outlined here because it has been intensively utilized for the parameterization of the intensities in REI crystal spectra since its publication more than 50 years ago [59, 60].

Fluoride- or oxide-glass), some radiative transitions belonging to a single REI may or not be observed, as discussed in the details in ref. [64]. Another interesting property of the host that is that may strongly influence the spectroscopic properties of REIs is their nonlinear optical characteristics, more specifically their third-order nonlinear susceptibility, labeled χ (3). For further reading about nonlinear optics, we must recommend the major reference work by Boyd [65]; we also recommend the more accessible book by New [66] and the one focused on nonlinear fiber optics by Agrawal [67].

Here, ε0 is the vacuum permittivity. The dipole momentum p is defined as: pðωÞ ¼ erðωÞ ð1:7Þ Substituting this result for the polarization in Eq. 6) produces: DðωÞ ¼ ε0 EðωÞ þ n e rðωÞ Next, we substitute the result for electron displacement from the Drude model of a free electron gas expressed in Eq. 5): 6 1 Quantum Aspects of Light–Matter Interaction D ð ωÞ D ð ωÞ n e2 E ð ωÞ mðω2 þ iγωÞ 2 3 ω2p 5EðωÞ: ¼ ε0 4 1 À 2 ðω þ iγωÞ ¼ ε0 EðωÞ À ð1:8Þ The quantity between the brackets defines the electric permittivity, or the dielectric function ε(ω): ε ð ωÞ ¼ 1 À ω2p ð1:9Þ ðω2 þ iγωÞ 2 where ω2p ¼ εne0 m is the square of the plasma frequency for a free electron gas.

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