Nonlocal and nonlinear effects on the dispersion relation for surface plasmon at a metal–Kerr medium interface

Huang, Jui Hsien; Chang, Rong‐Yeu

doi:10.1088/2040-8978/12/4/045003

“…The experimental value of the Au bulk dielectric constant is considered the MNP dielectric constant 44 . For ( and ) values in the figures, we refer to the condition that appears in Section “ Theory ” above, i.e., 27 , 28 .…”

Section: Resultsmentioning

confidence: 99%

“…1 ) embedded in a material with a dielectric constant . We also consider the radius of the DQD to be much smaller than that of the MNP, and also 27 , 28 . This system interacts with a linearly polarized oscillating electromagnetic field with is the electric field amplitude, and ω is the angular frequency of the applied field.…”

Section: Theorymentioning

confidence: 99%

Energy absorbed from double quantum dot-metal nanoparticle hybrid system

Akram

¹

,

Abdullah

²

,

Al-Khursan

³

2022

Sci Rep

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This work proposes the double quantum dot (DQD)-metal nanoparticle (MNP) hybrid system for a high energy absorption rate. The structure is modeled using density matrix equations that consider the interaction between excitons and surface plasmons. The wetting layer (WL)-DQD transitions are considered, and the orthogonalized plane wave (OPW) between these transitions is considered. The DQD energy states and momentum calculations with OPW are the figure of merit recognizing this DQD-MNP work. The results show that at the high pump and probe application, the total absorption rate $$({Q}_{tot})$$ ( Q tot ) of the DQD-MNP hybrid system is increased by reducing the distance between DQD-MNP. The high $${Q}_{tot}$$ Q tot obtained may relate to two reasons: first, the WL washes out modes other than the condensated main mode. Second, the high flexibility of manipulating DQD states compared to QD states results in more optical properties for DQD. The $${Q}_{DQD}$$ Q DQD is increased at a small MNP radius on the contrary to the $${Q}_{MNP}$$ Q MNP which is increased at a wider MNP radius. Under high tunneling, a broader blue shift in the $${Q}_{tot}$$ Q tot due to the destructive interference between fields is seen and the synchronization between $${Q}_{MNP}$$ Q MNP and $${Q}_{DQD}$$ Q DQD is destroyed. $${Q}_{tot}$$ Q tot for the DQD-MNP is increased by six orders while $${Q}_{DQD}$$ Q DQD is by eight orders compared to the single QD-MNP hybrid system. The high absorption rate of the DQD-MNP hybrid system comes from the transition possibilities and flexibility of choosing the transitions in the DQD system, which strengthens the transitions and increases the linear and nonlinear optical properties. This will make the DQD-MNP hybrid systems preferable to QD-MNP systems.

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“…with large integer N, when the (2N)-th energy eigenvalue in the shallow HO potential (assuming that N = 0 corresponds to the ground state) in the V -component is matched to the ground-state eigenvalue of the HO in the U-component: (31) does not hold, the WKB expression (32) needs a correction around the edge points,…”

Section: B the Coupler For "Accessible Solitons" (The Snyder-mitchell...mentioning

confidence: 99%

“…The nonlocality arises when the nonlinear optical response involves mechanisms such as heat diffusion, as analyzed theoretically [23] and demonstrated experimentally [24,25], molecular reorientation in liquid crystals [26,27], atomic diffusion [28][29][30], etc. The fields of nanophotonics and plasmonics also give rise to effective nonlocalities, due to light-matter interactions occurring in these media on deeply subwavelength scales [31,32].…”

Section: Introductionmentioning

confidence: 99%

Symmetric and asymmetric solitons in a nonlocal nonlinear coupler

Shi

¹

,

Malomed

²

,

Ye

³

et al. 2012

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We study effects of nonlocality of the cubic self-focusing nonlinearity on the stability and symmetry-breaking bifurcation (SBB) of solitons in the model of a planar dual-core optical waveguide with nonlocal (thermal) nonlinearity. In comparison with the well-known coupled systems with the local nonlinearity, the present setting is affected by the competition of different spatial scales, viz, the coupling length and correlation radius of the nonlocality √ d. By means of numerical methods and variational approximation (VA, which is relevant for small d), we find that, with the increase of the correlation radius, the SBB changes from subcritical into supercritical, which makes all the asymmetric solitons stable. On the other hand, the nonlocality has little influence on the stability of antisymmetric solitons. Analytical results for the SBB are also obtained (actually, for antisymmetric "accessible solitons") in the opposite limit of the ultra-nonlocal nonlinearity, using a coupler based on the Snyder-Mitchell model. The results help to grasp the general picture of the symmetry breaking in nonlocal couplers.

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“…The nonlocal nonlinearity arises through mechanisms involving heat diffusion, as described in [30,31], atomic diffusion [32][33][34], and molecular reorientation, as discussed in liquid crystals [35,36]. The light-matter interactions give rise to effective nonlocality in the fields of plasmonics and nanophotonics [37,38], and long-range interactions in the case of Bose-Einstein condensates [39].…”

Section: Introductionmentioning

confidence: 99%

Nonlocal gap solitons in parity-time symmetric coupler with transverse real potential

Suneera

¹

,

Subha

²

2018

J. Opt.

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In this work, we study the nonlocal gap solitons in a parity-time symmetric coupler with transverse real periodic potential having defocusing nonlocal nonlinearity. The propagation-invariant solutions show that the system supports both high-frequency and low-frequency modes as long as the gain/loss coefficient is less than the coupling coefficient. The high-frequency and low-frequency modes with single-hump, double-hump, and triple-hump structures are obtained. The high-frequency multi-hump modes are observed in the first band gap. The low-frequency single-hump modes lie in the semi-infinite band gap whereas low-frequency double-hump and triple-hump modes lie in the first band gap. The single-hump modes are trapped in the minimum of the potential. The double-hump modes spread through the two consecutive lattices while triple-hump modes lie across three consecutive lattices. As the range of the nonlocal nonlinearity varies, the propagation constants corresponding to different modes also change. Both the linear and dynamical stability analysis of the high-frequency and low-frequency modes have been done. The single-hump and double-hump modes are stable. The triple-hump modes may be stable or unstable. Studies on propagation dynamics reveal that when the range of the nonlocality increases, the width increases and the amplitude decreases, resulting in constant power propagation.

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Nonlocal and nonlinear effects on the dispersion relation for surface plasmon at a metal–Kerr medium interface

Cited by 13 publications

References 39 publications

Energy absorbed from double quantum dot-metal nanoparticle hybrid system

Energy absorbed from double quantum dot-metal nanoparticle hybrid system

Symmetric and asymmetric solitons in a nonlocal nonlinear coupler

Nonlocal gap solitons in parity-time symmetric coupler with transverse real potential

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