Gap solitons supported by optical lattices in biased centrosymmetric photorefractive crystals

Zhan, Ke; Hou, Chunfeng

doi:10.1016/j.optcom.2012.04.040

Cited by 13 publications

(4 citation statements)

References 19 publications

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“…This is different from the gap solitons studied in optical lattices with Kerr nonlinearity and the nonlocal nonlinearity which do exhibit the soliton tails at the band edges [40,41,[51][52][53]. We also see the same effect of soliton tails near the band edges for gap solitons in centrosymmetric photorefractive lattices which show the quadratic electro-optic effect [31] and open circuit photovoltaic lattices [39]. But very interestingly, we have seen previously that such oscillation tails or distortions also do not exist for gap solitons supported by optical lattices in novel photorefractive media having both the linear and quadratic electro-optic effect near the band edges [32].…”

Section: Gap Solitons In First Finite Band Gapcontrasting

confidence: 86%

“…These crystals are practical and efficient tools with a wide range of photonicsrelated applications [30]. Researchers in the field of nonlinear optics have shown interest in these localized nonlinear modes known as gap or lattice solitons in various types of materials with diverse nonlinearities and different types of optical lattices [31][32][33][34][35][36][37][38][39][40][41][42][43]. Photorefractive media exhibit a saturable nonlinearity which presents an attractive medium to study gap solitons [31,32,[37][38][39].…”

Section: Introductionmentioning

confidence: 99%

“…Researchers in the field of nonlinear optics have shown interest in these localized nonlinear modes known as gap or lattice solitons in various types of materials with diverse nonlinearities and different types of optical lattices [31][32][33][34][35][36][37][38][39][40][41][42][43]. Photorefractive media exhibit a saturable nonlinearity which presents an attractive medium to study gap solitons [31,32,[37][38][39]. There have been various impactful investigations on gap solitons in diffusive saturable nonlinear media also [44,45].…”

Section: Introductionmentioning

confidence: 99%

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Photovoltaic spatial gap solitons in biased photorefractive optical lattices

Katti,

Umesh

2024

Phys. Scr.

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We investigate the existence and characteristics of spatially confined optical gap solitons within an optical lattice embedded in a biased bulk photovoltaic photorefractive crystal. The Floquet-Bloch theory is used to analyze the uniform lattice and derive the optical lattice band structure. In the photonic band gaps, which are typically opaque to light transmission, the photorefractive nonlinearity permits the formation of solitons. The paraxial Helmholtz equation is set up and solved thereby discovering single hump and double hump soliton states in both band gaps. Interestingly, we have not found any multi peak solitons to exist in this particular case. We examine the characteristics of these gap solitons, finding that the soliton width (an indicator of nonlinearity) and intensity depend on their location within the band gap. Additionally, the Vakhitov-Kolokolov (VK) criterion, perturbation analysis and numerical techniques are used to analyze the stability of the various types of the spatial gap solitons in both the band gaps.

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Section: Gap Solitons In First Finite Band Gapcontrasting

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Photovoltaic spatial gap solitons in biased photorefractive optical lattices

Katti,

Umesh

2024

Phys. Scr.

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“…Modulation instability of the bright photovoltaic solitons on a partially incoherent background and incoherently coupled bright-dark photovoltaic soliton pairs based on two-photon photorefractive effect have been investigated [7,8]. Dynamic and steadystate behavior of optical solitons propagating in nematic liquid crystals have been discussed [9]. In addition, the nematic liquid crystals have been proved to be the materials for nonlinear optics because of their large nonresonant nonlinearity and extended spectral transparency [10].…”

Section: Introductionmentioning

confidence: 99%

Dynamic behavior of the incoherent optical spatial solitons in a nonlocal nonlinear medium

Zhen

Tian

Xie

et al. 2015

Journal of Modern Optics

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Dynamic behavior of the propagation of incoherent optical spatial solitons in a nonlocal nonlinear medium is investigated. By means of the Hirota method, we obtain the soliton solutions, based on which we find that |ψ| is positively related to n 0 , but inversely related to ω and κ, whereas n is independent of them, with ψ as the slowly varying amplitude of the beam, n as the refractive index change, n 0 , ω, and κ as the unperturbed refractive index, frequency of the propagating beam, and beam intensity distribution, respectively. Head-on and bound-state soliton interactions are both given, and one interaction period decreases with ω and κ increasing in the bound state one. With the external perturbations taken into consideration, the associated chaotic motions of the perturbed model are studied, and the corresponding power spectra and phase projections are obtained. Both the weak and developed chaotic states are investigated, and the difference between them roots in the relative magnitude of nonlinearities and perturbations. Such chaotic motions can be weakened via increasing ω and κ or decreasing n 0 . Periodic motion is obtained with the nonlinearities and perturbations balanced.

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