Linear guided waves in a hyperbolic planar waveguide. Dispersion relations

Lyashko, E. I.; Maĭmistov, A. I.

doi:10.1070/qe2015v045n11abeh015858

Cited by 13 publications

(8 citation statements)

References 36 publications

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“…cm , m ≥ 1, which is determined by equation (17). At m = 0 guided mode has the properties identical to that for the case of ε e < ε 2 .…”

Section: B Dispersion Relationmentioning

confidence: 88%

“…The dispersion relation for the localized in the waveguide electromagnetic waves represents the relationship between a propagation constant β and a frequency ω. The dispersion relations for the guided waves under consideration can be determined using the continuity conditions of an electric and magnetic field on interferences, as was done in [17]. The linear system of algebraic equations (12) has non-zero solutions if the determinant of this system is zero.…”

Section: B Dispersion Relationmentioning

confidence: 99%

“…The extremely large Goos-Hänchen shift has been studied in some details in [9].The linear plasmonic planar waveguide cladded by hyperbolic metamaterials was proposed and investigated in [15,16]. The linear guided waves properties of such hyperbolic slab waveguide were discussed in [17]. It was shown that for the TM wave number of guided modes is limited.…”

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confidence: 99%

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Guided waves in asymmetric hyperbolic slab waveguides: the TM mode case

Lyashko¹,

Maĭmistov²

2016

J. Opt. Soc. Am. B

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Nonlinear guided wave modes in an asymmetric slab waveguide formed by an isotropic dielectric layer placed on a linear or nonlinear substrate and covered by a hyperbolic material are investigated. Optical axis is normal to the slab plane. The dispersion relations for TM waves are found. It is shown that there are additional cut-off frequencies for each TM mode. The effects of the nonlinearity on the dispersion relations are investigated and discussed. There are the modes, which are corresponded with situation where the peak of electric field is localized in the nonlinear substrate. These modes are absent in the linear waveguide. To excite these modes the power must exceed certain threshold value.

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“…cm , m ≥ 1, which is determined by equation (17). At m = 0 guided mode has the properties identical to that for the case of ε e < ε 2 .…”

Section: B Dispersion Relationmentioning

confidence: 88%

Section: B Dispersion Relationmentioning

confidence: 99%

See 1 more Smart Citation

Guided waves in asymmetric hyperbolic slab waveguides: the TM mode case

Lyashko¹,

Maĭmistov²

2016

J. Opt. Soc. Am. B

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“…Recently, hyperbolic metamaterials (HMMs), which are characterized by an isofrequency contour of hyperboloidal shape in the wavevector space and realized most commonly as periodically arranged metal-dielectric unit cells of subwavelength dimensions, have been used both as cores [22,23] and claddings [24] in the design of waveguides. Effects observed in such waveguides include guided waves propagation [25], as well as plasmonic propagation [22,26], field enhancement [27], and slowing or stopping light [28,29].…”

Section: Introductionmentioning

confidence: 99%

Guided Optical Modes in Metal-Cladded Tunable Hyperbolic Metamaterial Slab Waveguides

et al. 2020

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We have theoretically investigated metal-cladded waveguides of tunable hyperbolic metamaterial (THMM) cores, employing graphene sheets as a tunable layer, in terms of guided waves propagation over near- to mid-infrared range, following the effective medium approximation. We have proven that these subwavelength guiding structures offer a number of effects usually not found in other types of waveguides, including controllable propagation gap and number of modes, inversion of power flow direction with respect to phase velocity, TM mode propagation, and absence of the fundamental mode, which occur as a result of controlled change of the guiding layer dispersion regime. This is the first time that the above-mentioned effects are obtained with a single, voltage-controlled waveguiding structure comprising graphene sheets and a dielectric, although the presented methodology allows us to incorporate other tunable materials beyond graphene equally well. We believe that such or similar structures, feasible by means of current planar deposition techniques, will ultimately find their practical applications in optical signal processing, controlled phase matching, controlled coupling, signal modulation, or the enhancement of nonlinear effects.

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“…Various plasmonic waveguides comprised of a multilayer core and a dielectric cladding or a multilayer cladding and a dielectric core, including multilayers with hyperbolic dispersion, have been analyzed [15][16][17][18][19][20]. It was shown that even a non-optimized design of a dielectric core and HMM claddings with a small metal filling ratio [HIH waveguide, Fig.…”

Section: Introductionmentioning

confidence: 99%

Long-range plasmonic waveguides with hyperbolic cladding

Babicheva¹,

Shalaginov²,

Ishii³

et al. 2015

Opt. Express

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Abstract:We study plasmonic waveguides with dielectric cores and hyperbolic multilayer claddings. The proposed design provides better performance in terms of propagation length and mode confinement in comparison to conventional designs, such as metal-insulator-metal and insulator-metal-insulator plasmonic waveguides. We show that the proposed structures support long-range surface plasmon modes, which exist when the permittivity of the core matches the transverse effective permittivity component of the metamaterial cladding. In this regime, the surface plasmon polaritons of each cladding layer are strongly coupled, and the propagation length can be on the order of a millimeter. . 27. V. E. Babicheva, R. Malureanu, and A. V. Lavrinenko, "Plasmonic finite-thickness metal-semiconductor-metal waveguide as ultra-compact modulator," Photon. Nanostructures 11(4), 323-334 (2013). 28. J. Chen, G. A. Smolyakov, S. R. Brueck, and K. J. Malloy, "Surface plasmon modes of finite, planar, metalinsulator-metal plasmonic waveguides," Opt.

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Linear guided waves in a hyperbolic planar waveguide. Dispersion relations

Cited by 13 publications

References 36 publications

Guided waves in asymmetric hyperbolic slab waveguides: the TM mode case

Guided waves in asymmetric hyperbolic slab waveguides: the TM mode case

Guided Optical Modes in Metal-Cladded Tunable Hyperbolic Metamaterial Slab Waveguides

Long-range plasmonic waveguides with hyperbolic cladding

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