Parity-Time Symmetric Plasmonics

BartonIII, D.; Lawrence, Mark; Alaeian, Hadiseh; Baum, B.; Dionne, Jennifer A.

doi:10.1007/978-981-13-1247-2_12

Cited by 8 publications

(29 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…SPPs in PT -symmetric structures have been studied in the physics literature before by employing active materials, see e.g. [1,2,12,24]. Nevertheless, we are not aware of a rigorous mathematical existence proof of the asymptotic expansion of nonlinear SPPs in the frequency dependent case.…”

Section: Applications To Nonlinear Surface Plasmonsmentioning

confidence: 99%

“…We consider next three sandwich settings out of which the last two are PT −symmetric and lead to the existence of linear eigenvalues ω0 ∈ R and hence to real bifurcating nonlinear eigenvalues ω. The first one of these PT -symmetric cases has been taken from the physics literature [1,2] while the second one corresponds to a hypothetical material.…”

Section: Three Homogeneous Layersmentioning

confidence: 99%

“…Hence one of the dielectric layers is lossy while the other is active and generates energy gain. This configuration of a conservative metal sandwiched between a couple of well-prepared active and lossy dielectrics has been considered, e.g., in [1,2]. As the active material we consider titanium dioxide (TiO2), with refractive index n = 3.2+0.2i, and as metal we choose silver with the bulk plasma frequency ωp(Ag) = 8, 85 • 10 15 s −1 .…”

Section: Three Homogeneous Layersmentioning

confidence: 99%

“…[20,26,4]. In the context of SPPs, where metals normally lead to a lossy propagation, PT -symmetry has been applied to obtain lossless propagation, see [1,2]. Mathematically, the restriction of a fixed point argument to a PT -symmetric (or more generally antilinearly symmetric) subspace has been used to obtain real nonlinear eigenvalues, see, e.g., [21,9,7].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Eigenvalue Bifurcation in Doubly Nonlinear Problems with an Application to Surface Plasmon Polaritons

Dohnal¹,

Romani²

2020

Preprint

View full text Add to dashboard Cite

We consider a class of generally non-self-adjoint eigenvalue problems which are nonlinear in the solution as well as in the eigenvalue parameter ("doubly" nonlinear). We prove a bifurcation result from simple isolated eigenvalues of the linear problem using a Lyapunov-Schmidt reduction and provide an expansion of both the nonlinear eigenvalue and the solution. We further prove that if the linear eigenvalue is real and the nonlinear problem PT -symmetric, then the bifurcating nonlinear eigenvalue remains real. These general results are then applied in the context of surface plasmon polaritons (SPPs), i.e. localized solutions for the nonlinear Maxwell's equations in the presence of one or more interfaces between dielectric and metal layers. We obtain the existence of transverse electric SPPs in certain PT -symmetric configurations.

show abstract

Section: Applications To Nonlinear Surface Plasmonsmentioning

confidence: 99%

Section: Three Homogeneous Layersmentioning

confidence: 99%

Section: Three Homogeneous Layersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Eigenvalue Bifurcation in Doubly Nonlinear Problems with an Application to Surface Plasmon Polaritons

Dohnal¹,

Romani²

2020

Preprint

View full text Add to dashboard Cite

show abstract

“…and index f = g, l. Along with this, representation of boundary conditions (19) and (22) in the matrix form results in…”

Section: Single Layer Graphene In the Gain-loss Surroundingmentioning

confidence: 99%

Surface plasmon-polaritons in graphene, embedded into medium with gain and losses

Zhernovnykova¹,

Popova²,

Deynychenko³

et al. 2019

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

The paper deals with the theoretical consideration of surface plasmon-polaritons in the graphene monolayer, embedded into dielectric with spatially separated gain and losses. It is demonstrated, that presence of gain and losses in the system leads to the formation of additional mode of graphene surface plasmon-polaritons, which does not have its counterpart in the conservative system. When the gain and losses are mutually balanced, the position of exceptional point-transition point between unbroken and broken PT-symmetrycan be effectively tuned by graphene's doping. In the case of unbalanced gain and losses the spectrum of surface plasmon-polaritons contains spectral singularity, whose frequency is also adjustable through the electrostatic gating of graphene.

show abstract

Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons

Dohnal

Romani

2021

Nonlinear Differ. Equ. Appl.

View full text Add to dashboard Cite

We consider a class of generally non-self-adjoint eigenvalue problems which are nonlinear in the solution as well as in the eigenvalue parameter (“doubly” nonlinear). We prove a bifurcation result from simple isolated eigenvalues of the linear problem using a Lyapunov–Schmidt reduction and provide an expansion of both the nonlinear eigenvalue and the solution. We further prove that if the linear eigenvalue is real and the nonlinear problem $${\mathcal {PT}}$$ PT -symmetric, then the bifurcating nonlinear eigenvalue remains real. These general results are then applied in the context of surface plasmon polaritons (SPPs), i.e. localized solutions for the nonlinear Maxwell’s equations in the presence of one or more interfaces between dielectric and metal layers. We obtain the existence of transverse electric SPPs in certain $${\mathcal {PT}}$$ PT -symmetric configurations.

show abstract

Parity-Time Symmetric Plasmonics

Cited by 8 publications

References 22 publications

Eigenvalue Bifurcation in Doubly Nonlinear Problems with an Application to Surface Plasmon Polaritons

Eigenvalue Bifurcation in Doubly Nonlinear Problems with an Application to Surface Plasmon Polaritons

Surface plasmon-polaritons in graphene, embedded into medium with gain and losses

Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons

Contact Info

Product

Resources

About