Nonlinear optical effects in artificial materials

Maĭmistov, A. I.; Gabitov, Ildar R.

doi:10.1140/epjst/e2007-00213-9

Cited by 59 publications

(37 citation statements)

References 61 publications

(121 reference statements)

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“…Other well-known examples of purposely designed artificial optical media with extraordinary properties include hyperbolic metamaterials, whose tensors of the dielectric permittivity and/or magnetic permeability feature principal values of opposite signs [83,84], planar metasurfaces [85,86], epsilon-near-zero materials, in which the refractive index nearly vanishes [87], photonic topological insulators [88,89] (which exemplify the area of topological photonics [90]), and others. The use of such media opens numerous possibilities to implement diverse optical effects, including nonlinear ones [91] and guided-wave propagation, in forms that were not known previously (for instance, in the form of the surface waveguiding in photonic topological insulators, which is immune to scattering on defects because the scattering is suppressed by the topology of the guiding system), and are unified under the name of metaoptics [92,93]. Another unifying concept is nanophotonics, the name originating from the fact that many of these materials are assembled of elements with sizes measured on the nanometer scale (which is deeply subwavelength, in terms of optics).…”

Section: Waveguides Built Of Artificial Materialsmentioning

confidence: 99%

Editorial: Guided-Wave Optics

Malomed

2017

Applied Sciences

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Guided waves represent a vast class of phenomena in which the propagation of collective excitations in various media is steered in required directions by fixed (or, sometimes, reconfigurable) conduits. Arguably, the most well-known and practically important waveguides are single-mode and multi-mode optical fibers [1,2], including their more sophisticated version in the form of photonic crystal fibers [3] and hollow metallic structures transmitting microwave radiation [4]. Light pipes, in the form of hollow tubes with reflecting inner surfaces, are used in illumination techniques. On the other hand, medical stethoscopes offer a commonly known example of a practically important acoustic waveguide. New directions of studies in photonics are focused on waveguides for plasmonic waves on metallic surfaces [5][6][7] (which provide the possibility of using wavelengths much smaller than those corresponding to the traditional optical range, and thus offer opportunities to build much more compact photonic devices) and on the other hand, on the guided transmission of terahertz waves, which also have a great potential for applications [8].Outside of the realm of photonics (optics and plasmonics) and acoustics, wave propagation plays a profoundly important role in many other areas; accordingly, waveguiding settings have drawn a great deal of interest in those areas as well. In particular, as concerns hydrodynamics, natural waveguides-which may be very long-exist for internal waves propagating in stratified liquids (e.g., in the ocean) [9]. Various settings in the form of waveguides for matter waves are well known in studies of Bose-Einstein condensates in ultracold bosonic gases [10,11]. In solid-state physics, guided propagation regimes for magnon waves in ferromagnetic media are a subject of theoretical and experimental studies [12]. In superconductivity, long Josephson junctions are waveguides for plasma waves [8,13]. The significance of waveguiding in plasma physics is also well-known; e.g., Ref [14][15][16].Below, a very brief overview of basic theoretical models and experimental realizations of various physical implementations of the waveguiding phenomenology is given. The text is structured according to the character of the guided wave propagation: linear or nonlinear and conservative or dissipative, as well as according to the materials used in the underlying settings, natural or artificial.This presentation definitely does not aim to include an exhaustive bibliography on this vast research area. References are given chiefly to review articles and books summarizing the known results, rather than to original papers where the results were first published. However, in some cases original papers are also cited if it is necessary in the context of the presentation. Linear WaveguidesThe basic waveguiding structure is a single-mode conduit, designed with a sufficiently small transverse size and boundary conditions at the boundary between the guiding core and surrounding cladding, which admits the propagation of a single tr...

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Section: Waveguides Built Of Artificial Materialsmentioning

confidence: 99%

Editorial: Guided-Wave Optics

Malomed

2017

Applied Sciences

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“…In the approximation of slowly varying amplitudes and phases of the interacting quasi harmonic waves, the equations describing the THG process without regard to the dispersion of group velocities have the following form [21,32]:…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Third harmonic generation in the field of a backward pump wave

Ostroukhova

Maĭmistov

2012

Opt. Spectrosc.

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Third harmonic generation in a nonlinear medium the refractive index of which is negative at the pump frequency and positive at the harmonic frequency with allowance for self action effects is considered theoretically. An exact solution of equations that describe the parametric interaction of continuous waves has been obtained analytically. The behavior of the solution is analyzed depending on the degree of violation of the phase matching condition. It is shown that, in a definite domain of values of nonlinear susceptibilities of the third order, there exists a critical value of the phase detuning at which the monotonic transform of the pump into the harmonic is changed by a periodical one. This phenomenon does not occur when the third har monic is generated in ordinary media with a positive refractive index.

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“…Hence, when studying interaction of waves of different frequencies in a nonlinear medium in the case where one of the frequencies falls into this range, it becomes possible to observe interaction of forward and backward waves. Some of the nonlinear phenomena caused by interaction of forward and backward waves were described in review articles [29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Interaction of forward and backward waves in a Kerr medium

Maĭmistov

Lyashko

2015

Opt. Spectrosc.

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Interaction of forward and backward waves in a nonlinear medium exhibiting a third-order nonlinearity (the Kerr medium) is investigated theoretically. We have analyzed the propagation of two quasi-harmonic waves with different carrier frequencies, such that the phase velocity at one frequency has the same direction as the group velocity, while the phase and the group velocities at the other frequency have opposite directions. Coupling between the waves in a Kerr medium is caused by cross modulation. It is demonstrated that a steady-state biharmonic wave propagating as a single whole can be formed in this situation.

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Nonlinear optical effects in artificial materials

Cited by 59 publications

References 61 publications

Editorial: Guided-Wave Optics

Editorial: Guided-Wave Optics

Third harmonic generation in the field of a backward pump wave

Interaction of forward and backward waves in a Kerr medium

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