Self-Focusing and Self-Trapping in Smectic A Liquid Crystal

Kventsel, G. F.; Lembrikov, B. I.

doi:10.1080/10587259508033562

Cited by 6 publications

(15 citation statements)

References 9 publications

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“…14- (16) into the wave Eq. (13) we obtain the dispersion relations for the ordinary and extraordinary waves, respectively [7,18]…”

Section: Self-focusing and Self-trapping Of Optical Beams In Salcmentioning

confidence: 99%

“…We consider separately the self-focusing and self-trapping of the ordinary and extraordinary beams [7]. We start with the analysis of the slab-shaped ordinary beam with the dimension in the Y direction much greater than in the incidence XZ plane.…”

Section: Self-focusing and Self-trapping Of Optical Beams In Salcmentioning

confidence: 99%

“…We investigated theoretically the nonlinear optical phenomena in SALC related to the specific mechanism of the cubic nonlinearity, which is determined by the smectic layer normal displacement ux ; y; z; t ðÞ in the electric field of optical waves and SPP [5][6][7][8][9][10][11][12][13]. This mechanism combining the properties of the orientational and electrostrictive nonlinearities [2] occurs without the mass density change, strongly depends on the optical wave polarization and propagation direction, and has a resonant form of the frequency dependence.…”

Section: Introductionmentioning

confidence: 99%

“…We used the slowly varying amplitude approximation (SVAA) [14]. We investigated the following nonlinear optical effects in SALC based on the layer displacement nonlinearity: self-focusing and self-trapping, SLS, and four-wave mixing (FWM) [5][6][7][8][9][10]. We applied the developed theory of the nonlinear optical phenomena in SALC to the SPP interactions in SALC [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

“…The SPP stimulated scattering in SALC and the metal/insulator/metal (MIM) plasmonic waveguide with the SALC core are theoretically studied [11][12][13]. The detailed calculations and complicated explicit analytical expressions can be found in Refs [5][6][7][8][9][10][11][12][13]. In this chapter, we describe the general approach to the theoretical analysis of the nonlinear optical phenomena in SALC and present the main results.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear Optical Phenomena in Smectic A Liquid Crystals

Lembrikov¹,

Ianetz²,

Ezra³

2018

Liquid Crystals - Recent Advancements in Fundamental and Device Technologies

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Liquid crystals (LC) are the materials characterized by extremely high optical nonlinearity. Their physical properties such as temperature, molecular orientation, density, and electronic structure can be easily perturbed by an applied optical field. In particular, in smectic A LC (SALC), there is a specific mechanism of the cubic optical nonlinearity determined by the smectic layer normal displacement. The physical processes related to this mechanism are characterized by a comparatively large cubic susceptibility, short time response, strong dependence on the optical wave polarization and propagation direction, resonant spectral form, low scattering losses as compared to other LC phases, and weak temperature dependence in the region far from the phase transition. We investigated theoretically the nonlinear optical phenomena caused by this type of the cubic nonlinearity in SALC. It has been shown that the light self-focusing, self-trapping, Brillouin-like stimulated light scattering (SLS), and four-wave mixing (FWM) related to the smectic layer normal displacement are strongly manifested in SALC. We obtained the exact analytical solutions in some cases and made the numerical evaluations of the basic parameters such as the optical beam width and SLS gain.

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“…14- (16) into the wave Eq. (13) we obtain the dispersion relations for the ordinary and extraordinary waves, respectively [7,18]…”

Section: Self-focusing and Self-trapping Of Optical Beams In Salcmentioning

confidence: 99%

Section: Self-focusing and Self-trapping Of Optical Beams In Salcmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Nonlinear Optical Phenomena in Smectic A Liquid Crystals

Lembrikov¹,

Ianetz²,

Ezra³

2018

Liquid Crystals - Recent Advancements in Fundamental and Device Technologies

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Coupling nonlinear optical waves to photoreactive and phase-separating soft matter: Current status and perspectives

Biria

Morim

Tsao

et al. 2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Nonlinear optics and polymer systems are distinct fields that have been studied for decades. These two fields intersect with the observation of nonlinear wave propagation in photoreactive polymer systems. This has led to studies on the nonlinear dynamics of transmitted light in polymer media, particularly for optical self-trapping and optical modulation instability. The irreversibility of polymerization leads to permanent capture of nonlinear optical patterns in the polymer structure, which is a new synthetic route to complex structured soft materials. Over time more intricate polymer systems are employed, whereby nonlinear optical dynamics can couple to nonlinear chemical dynamics, opening opportunities for self-organization. This paper discusses the work to date on nonlinear optical pattern formation processes in polymers. A brief overview of nonlinear optical phenomenon is provided to set the stage for understanding their effects. We review the accomplishments of the field on studying nonlinear waveform propagation in photopolymerizable systems, then discuss our most recent progress in coupling nonlinear optical pattern formation to polymer blends and phase separation. To this end, perspectives on future directions and areas of sustained inquiry are provided. This review highlights the significant opportunity in exploiting nonlinear optical pattern formation in soft matter for the discovery of new light-directed and light-stimulated materials phenomenon, and in turn, soft matter provides a platform by which new nonlinear optical phenomenon may be discovered.

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Second Sound and Nonlinear Optical Phenomena in Smectic A Liquid Crystals

Kventsel

Lembrikov

1996

Molecular Crystals and Liquid Crystals Science and Technology.

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Self-Focusing and Self-Trapping in Smectic A Liquid Crystal

Cited by 6 publications

References 9 publications

Nonlinear Optical Phenomena in Smectic A Liquid Crystals

Nonlinear Optical Phenomena in Smectic A Liquid Crystals

Coupling nonlinear optical waves to photoreactive and phase-separating soft matter: Current status and perspectives

Second Sound and Nonlinear Optical Phenomena in Smectic A Liquid Crystals

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