Negative group velocity and three-wave mixing in dielectric crystals

Shalaev, Mikhail I.; Myslivets, S. A.; Slabko, V. V.; Popov, A. K.

doi:10.1364/ol.36.003861

Cited by 19 publications

(20 citation statements)

References 12 publications

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“…Similar resonance occurs in the free electron laser in which the low frequency plasma and laser waves are excited by the sum frequency undulator wave in the electron rest frame [19]. It also appears when electromagnetic waves interact with optical phonons in dielectric crystals [20][21][22]. In the literature, another type of combination resonance, namely the difference combination resonance, has been discussed in mechanical systems since the 1960's (see, e.g., [23][24][25][26]).…”

Section: Introductionmentioning

confidence: 85%

Parametric generation of high frequency coherent light in negative index materials and materials with strong anomalous dispersion

Svidzinsky¹,

Zhang²,

Wang³

et al. 2015

Coherent Phenomena

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We demonstrate the possibility of generation of coherent radiation with tunable frequencies higher than the frequency of the driving field ν d in a nonlinear medium utilizing the difference combination resonance that occurs when ν d matches the difference of the frequencies of the two generated fields ω1 and ω2. We find that such a resonance can appear in materials which have opposite signs of refractive index at ω1 and ω2. It can also occur in positive refractive index materials with strong anomalous dispersion if at one of the generated frequencies the group and phase velocities are opposite to each other. We show that the light amplification mechanism is equivalent to a combination resonance in a system of two coupled parametric oscillators with the opposite sign of masses. Such a mechanism holds promise for a new kind of light source that emits coherent radiation of tunable wavelengths by an optical parametric amplification process with the frequency higher than ν d .

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Section: Introductionmentioning

confidence: 85%

Parametric generation of high frequency coherent light in negative index materials and materials with strong anomalous dispersion

Svidzinsky¹,

Zhang²,

Wang³

et al. 2015

Coherent Phenomena

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“…Such atypical extraordinary behavior in readily available crystals may find exciting applications. However, the estimates have shown that intensity of the fundamental field which is to attain such extraordinary amplification appears close to the optical breakdown threshold [33]. It is because of fast phonon damping and corresponding high rate of energy conversion of the fundamental beam in heat.…”

Section: Mimicking Nonlinear Optics Of Backward-waves In Fully Dielecmentioning

confidence: 99%

“…Thus the proposed approach allows to mimic the unparallel properties of coherent NLO energy exchange between the ordinary and BW. In [33], SRS on optical phonon was investigated in continuous wave regime. The possibility of distributed-feedback type resonance enhancement of amplification has been shown that stem from negative dispersion of elastic waves.…”

Section: Mimicking Nonlinear Optics Of Backward-waves In Fully Dielecmentioning

confidence: 99%

“…In the approximation of constant pump amplitude and in the coordinate frame locked to the pump pulse, equations for the generated Stokes and backward vibration waves inside the pulse take the form: [33] except the boundary conditions. They correctly describe possible huge amplification of the Stokes signal until relatively small part of the strong input laser beam is converted.…”

Section: Mimicking Nonlinear Optics Of Backward-waves In Fully Dielecmentioning

confidence: 99%

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Nonlinear Optics with Backward Waves

Popov

2014

Nonlinear, Tunable and Active Metamaterials

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Extraordinary properties of nonlinear optical propagation processes in double-domain positive/negative index metamaterials are reviewed. These processes enable coherent energy exchange between ordinary and backward electromagnetic waves, which allows huge increase of frequency-conversion efficiency at second harmonic generation, three-wave mixing and optical parametric amplification. Striking contrasts with properties of the counterparts in ordinary materials are outlined. Particularly, exotic features arise for amplification and generation of counter-propagating short pulses. Novel class of materials, which enable such processes through electromagnetic waves with negative group velocity, are proposed. The possibility to mimic such processes in readily available crystals that support elastic backward waves (optical phonons) is shown. The concepts of unique photonic devices such as data processing chips, tunable nonlinear-optical mirrors, filters, switches and sensors are discussed. IntroductionOptical negative-index materials (NIMs) form a class of electromagnetic media that promise revolutionary breakthroughs in photonics. The possibilities of such breakthroughs originate from backwardness, the exotic property that electromagnetic waves (EMWs) acquire in NIMs. Unlike ordinary positive-index materials, the energy flow, S, and the wave-vector, k, become counter-directed in NIMs that determines their unique linear and nonlinear optical (NLO) propagation properties. The appearance of backward electromagnetic waves (BEMW) can be explained as follows. The direction of the wave-vector k with respect to the energy flow S

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“…Later, this problem was analyzed in [3,[17][18][19]. When the first artificial media, metamaterials, came into existence (a review of properties of metamaterials can be found in [20,21]), investigation of linear and nonlinear properties of backward waves was further stimulated [22][23][24][25][26][27][28]. The reason for this is that it became possible to fabricate a metamaterial exhibiting negative refraction in a certain frequency range, thus supporting the propagation of backward waves [3,19].…”

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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Negative group velocity and three-wave mixing in dielectric crystals

Cited by 19 publications

References 12 publications

Parametric generation of high frequency coherent light in negative index materials and materials with strong anomalous dispersion

Parametric generation of high frequency coherent light in negative index materials and materials with strong anomalous dispersion

Nonlinear Optics with Backward Waves

Interaction of forward and backward waves in a Kerr medium

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