Theory of Nonlinear Guided and Surface Plasmon–polaritons in Dielectric Films

Baher, S.; Cottam, M. G.

doi:10.1142/s0218625x03004573

Cited by 10 publications

(4 citation statements)

References 16 publications

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“…Moreover, the locally enhanced field intensities observed in plasmonic structures promise potential for molecular biosensing, [5][6][7][8][9][10] surface enhanced Raman spectroscopy, [11][12][13] and nonlinear optical device applications. [14][15][16][17][18] In planar metallodielectric geometries, surface plasmons represent plane-wave solutions to Maxwell's equations, with the complex wave vector determining both field symmetry and damping. For bound modes, field amplitudes decay exponentially away from the metal/dielectric interface with field maxima occurring at the surface.…”

Section: Introductionmentioning

confidence: 99%

Plasmon slot waveguides: Towards chip-scale propagation with subwavelength-scale localization

et al. 2006

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We present a numerical analysis of surface plasmon waveguides exhibiting both long-range propagation and spatial confinement of light with lateral dimensions of less than 10% of the free-space wavelength. Attention is given to characterizing the dispersion relations, wavelength-dependent propagation, and energy density decay in two-dimensional Ag/ SiO 2 / Ag structures with waveguide thicknesses ranging from 12 nm to 250 nm. As in conventional planar insulator-metal-insulator ͑IMI͒ surface plasmon waveguides, analytic dispersion results indicate a splitting of plasmon modes-corresponding to symmetric and antisymmetric electric field distributions-as SiO 2 core thickness is decreased below 100 nm. However, unlike IMI structures, surface plasmon momentum of the symmetric mode does not always exceed photon momentum, with thicker films ͑d ϳ 50 nm͒ achieving effective indices as low as n = 0.15. In addition, antisymmetric mode dispersion exhibits a cutoff for films thinner than d = 20 nm, terminating at least 0.25 eV below resonance. From visible to near infrared wavelengths, plasmon propagation exceeds tens of microns with fields confined to within 20 nm of the structure. As the SiO 2 core thickness is increased, propagation distances also increase with localization remaining constant. Conventional waveguiding modes of the structure are not observed until the core thickness approaches 100 nm. At such thicknesses, both transverse magnetic and transverse electric modes can be observed. Interestingly, for nonpropagating modes ͑i.e., modes where propagation does not exceed the micron scale͒, considerable field enhancement in the waveguide core is observed, rivaling the intensities reported in resonantly excited metallic nanoparticle waveguides.

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Section: Introductionmentioning

confidence: 99%

Plasmon slot waveguides: Towards chip-scale propagation with subwavelength-scale localization

et al. 2006

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“…> k 0. It is well known that these types of integrals which appear in equation (10) can be expressed in terms of Jacobi elliptic functions (see, for example [31,32]). Thereby, the solution of the nonlinear wave equation is defined as follows:…”

Section: Theoretical Modelmentioning

confidence: 99%

“…In the present study, we consider the following plasmonic structures based on BLG in which to investigate plasmonic properties and existence of TE modes: (i) a graphene waveguide (composed of two graphene layers separated by a Kerrtype nonlinear medium with a thickness of d) confined between two semi-infinite linear media of relative permittivity e , j and (ii) the graphene waveguide with Bernal-type stacking. By solving the classical electromagnetic equation and applying proper boundary conditions, we obtain analytical formulas for dispersion relation and the field profiles in terms of Jacobi elliptic functions [31,32]. Furthermore, the characteristics of guided waves in SLG and BLG are compared with each other.…”

Section: Introductionmentioning

confidence: 99%

Tunable transverse-electric surface plasmon polariton waves in a parallel-plate graphene-based waveguide

Lorestaniweiss

Baher

2019

Phys. Scr.

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In this study, a three-layered system consisting of a Kerr-type nonlinear medium confined between two semi-infinite linear media is considered. The nonlinear medium is a parallel-plate graphene waveguide with a thickness of d. Analytical expressions for dispersion relation and the field profiles in terms of Jacobi elliptic functions are performed and solved numerically. Plasmonic properties such as the effective mode index ( ), localization length ( ) are studied. It is found that and of the system can be tuned by chemical potential of graphene, arising from its tunable optical conductivity. Localization of transverse electric (TE) surface waves increases with increasing the medium nonlinearity, providing deep-subwavelength confinement. Moreover, increasing d from 1 to 130 nm enhances the mode confinement. We also apply our scheme to a bilayer graphene (BLG) waveguide, allowing for predicting the existence of TE modes. Our results show that the TE modes in BLG are more pronounced than those in single-layer graphene. Therefore, the BLG structure is found to be promising in the fabrication of optical devices with TE plasmons.

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“…Mihalache et al [23] have used the first integral method to obtain a 'dispersion relation' of energy flux versus wavenumber for a metal/Kerr interface. Nonlinear waveguides with a metal/Kerr interface have also been explored [24][25][26] and Yu has even found an exact dispersion for the surface wave at an interface between two nonlinear media [27]. In an inspiring work, Smolyaninov [28] investigated the zeropoint energy of SP at a metal/Kerr interface, thus extending the study of the phenomenon into quantum optics.…”

Section: Introductionmentioning

confidence: 99%

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

Huang

Chang

2010

J. Opt.

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We present a theoretical study on the dispersion relation for surface plasmons at a metal–Kerr medium interface where the metal is described by a nonlocal dielectric function according to the hydrodynamic model. The Kerr effect leads to a shift of the surface plasmon frequency depending on the electric field intensity, the magnitude as well as the sign of the Kerr coefficient, and the wavevector. We further observe that this frequency shift is largely quenched for large wavenumbers for which the nonlocal effect is significantly manifested. We account for this quenching quantitatively by a calculation showing how the nonlocality weakens the sensitivity in the metal’s response to the variation of the dielectric function of the Kerr medium. A possible experimental observation of this new effect is briefly discussed.

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Theory of Nonlinear Guided and Surface Plasmon–polaritons in Dielectric Films

Cited by 10 publications

References 16 publications

Plasmon slot waveguides: Towards chip-scale propagation with subwavelength-scale localization

Plasmon slot waveguides: Towards chip-scale propagation with subwavelength-scale localization

Tunable transverse-electric surface plasmon polariton waves in a parallel-plate graphene-based waveguide

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

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