<i>Colloquium</i>: Nonlinear metamaterials

Lapine, Mikhail; Shadrivov, Ilya V.; Kivshar, Yuri S.

doi:10.1103/revmodphys.86.1093

Cited by 383 publications

(285 citation statements)

References 366 publications

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“…When properly combined, the excitation of these more advanced responses enables unusually large scattering behaviors, including the so-called superscattering [19,20], and superdirective scattering [21][22][23]. Additional degrees of freedom can be introduced by using nonlinear elements [24]. On the other hand, the total [25][26][27] or angularly selective [28,29] suppression of scattering is equally important, as well as the scattering minimization while maintaining a useful amount of absorbed power [30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Superbackscattering nanoparticle dimers

et al. 2015

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The theory and design of superbackscattering nanoparticle dimers are presented. We analytically derive the optimal configurations and the upper bound of their backscattering cross-sections. In particular, it is demonstrated that electrically small nanoparticle dimers can enhance the backscattering by a factor of 6.25 with respect to single dipolar particles. We demonstrate that optimal designs approaching this theoretical limit can be found by using a simple circuit model. The study of practical implementations based on plasmonic and high-permittivity particles reveal that fourfold enhancement factors might be attainable even with realistic losses.

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Section: Introductionmentioning

confidence: 99%

Superbackscattering nanoparticle dimers

et al. 2015

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“…23 Also, in recent years, there is growing research interests in 'Nonlinear metamaterials' and it is already being predicted that these new class of metamaterials might be used to construct parts of the future all-optical communication networks. 24 However, to accurately model subwavelength periodic diffraction grating like metamaterials with tailored nonlinear optical response, we need advanced numerical simulation tools.…”

Section: 16mentioning

confidence: 99%

Analysis of all-optically tunable functionalities in subwavelength periodic structures by the Fourier modal method.

Bej

Tervo

Francés

et al. 2016

Optical Modelling and Design IV

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We propose the nonlinear Fourier Modal Method (FMM) [J. Opt. Soc. Am. B 31, 2371] as a convenient and versatile numerical tool for the design and analysis of grating based next generation all-optical devices. Here, we include several numerical examples where the FMM is used to simulate all-optically tunable functionalities in sub-wavelength periodic structures. At first, we numerically investigate a 1-D periodic nonlinear binary grating with amorphous TiO 2 . We plot the diffraction efficiency in the transmitted orders against the structure depth for normally incident plane wave. Change in diffraction efficiencies for different incident field amplitudes are evident from the plots. We verify the accuracy of our implementation by comparing our results with the results obtained with the nonlinear Split Field-Finite Difference Time Domain (SF-FDTD) method. Next we repeat the same experiment with vertically standing amorphous Titanium dioxide (TiO 2 ) nanowire arrays grown on top of quartz which are periodic in two mutually perpendicular directions and examine the efficiencies in the direct transmitted light for different incident field amplitudes. Our third example includes analysis of a form birefringent linear grating with Kerr medium. With FMM we demonstrate that the birefringence of such a structure can be tuned by all-optical means. As a final example, we design a narrow band Guided Mode Resonance Filter (GMRF). Numerical experiments based on the nonlinear FMM reveal that the spectral tunability of such a filter can be obtained by all-optical means.

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“…The concept of metamaterials, however, provides guidelines for constructing artificial media with novel electromagnetic properties 3 . Careful design of resonant characteristics of the unit cells forming a composite material enables tailoring its linear and nonlinear responses alike 4 . Because efficiencies of nonlinear interactions depend on the power of a local electromagnetic field, its enhancement by means of auxiliary structures is beneficial.…”

Section: Introductionmentioning

confidence: 99%

Resonant meta-atoms with nonlinearities on demand

Filonov

Kramer

Kozlov

et al. 2016

Applied Physics Letters

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Nonlinear light-matter interactions and their applications are constrained by properties of available materials. The use of metamaterials opens the way to achieve precise control over electromagnetic properties at a microscopic level, providing new tools for experimental studies of complex nonlinear phenomena in photonics. Here a doubly resonant nonlinear meta-atom is proposed, analyzed and characterized in the GHz spectral range. The underlying structure is composed of a pair of split rings, resonant at both fundamental and nonlinear frequencies. The rings share a varactor diode, which serves as a microscopic source of nonlinearity. Flexible control over the coupling and near-and far-field patterns are reported, favoring the doubly resonant structure over other realizations. Relative efficiencies of the second and third harmonics, generated by the diode, are tailored by dint of the double-ring geometry, providing a guideline for selecting one frequency against another, using the design of the auxiliary structures. The on-demand control over the microscopic nonlinear properties enables developing a toolbox for experimental emulation of complex nonlinear phenomena.Introduction Nonlinear systems feature a variety of phenomena of great significance for both fundamental studies and applications. Being often challenging for detailed mathematical analysis, they may be studied by applying experimental tools and cross-disciplinary concepts. In particular, nonlinear optics, being a celebrated topic by itself 1 , also provides tools for the emulation of cosmological effects 2 , among many others. Nonlinear optical interactions, in the majority of cases, require the use of high light intensities, due to naturally small susceptibilities of available materials. As a result, observation of many effects is extremely challenging and requires highly sophisticated equipment. The concept of metamaterials, however, provides guidelines for constructing artificial media with novel electromagnetic properties 3 . Careful design of resonant characteristics of the unit cells forming a composite material enables tailoring its linear and nonlinear responses alike 4 . Because efficiencies of nonlinear interactions depend on the power of a local electromagnetic field, its enhancement by means of auxiliary structures is beneficial. Various configurations in both optical and radio-frequency (RF) domains were proposed, demonstrating dramatically improved nonlinear responses of the hybrid systems (see review 5 ). Nonlinearconversion efficiencies may be further improved by employing doubly resonant structures, which concentrate near fields at both the fundamental and multiple (nonlinear) frequencies 6,7,8,9 . This cascaded enhancement is based on recycling both the pump and the nonlinear fields in a cavity, where the latter may also originate from spontaneous vacuum fluctuations 10 . Hybrid optical sources with tailored nonlinear responses, having a broad span of potential applications by themselves 11 , still pose challenges to attempt...

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Colloquium: Nonlinear metamaterials

Cited by 383 publications

References 366 publications

Superbackscattering nanoparticle dimers

Superbackscattering nanoparticle dimers

Analysis of all-optically tunable functionalities in subwavelength periodic structures by the Fourier modal method.

Resonant meta-atoms with nonlinearities on demand

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