Initial boundary value problem for generalized logarithmic improved Boussinesq equation

Hu, Qingying; Zhang, Hongwei

doi:10.1002/mma.4255

Cited by 15 publications

(10 citation statements)

References 28 publications

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“…It was found that the mid-IR emission 3 H 5 / 3 H 4 efficiency was determined to be close to 100% based on J-O analysis. Hu et al 18 (2015) computationally investigated cascaded amplication in a three-level mid-infrared (IR) Pr 3+ -doped GAGS bre amplier. High gain and low noise are achieved simultaneously at 4.5 mm.…”

Section: Introductionmentioning

confidence: 99%

Fabrication and characterization of mid-infrared emission of Pr³⁺ doped selenide chalcogenide glasses and fibres

et al. 2017

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Section: Introductionmentioning

confidence: 99%

Fabrication and characterization of mid-infrared emission of Pr³⁺ doped selenide chalcogenide glasses and fibres

et al. 2017

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“…In general, this remarkable feature is caused by high-phonon frequencies typical for chalcogenide-like environment essentially overcome those in oxide media. This functionality can be further stretched by doping ChG with some rare-earth (RE) activators like Pr 3+ , Tb 3+ , Dy 3+ , Er 3+ , etc., which possess numerous radiative transitions emitting in near and mid-IR range up to 10 m thus providing advanced optical fibers for this spectral domain [5][6][7]. However, because of very low solubility in chalcogenide compounds [8][9], the ChG should be essentially modified to accommodate RE ions in electrically active functional state allowing light generation.…”

Section: Introductionmentioning

confidence: 99%

PAL spectroscopy of rare-earth doped Ga–Ge–Te/Se glasses

Shpotyuk¹,

Ingram

Shpotyuk

2016

Journal of Physics and Chemistry of Solids

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Positron annihilation lifetime (PAL) spectroscopy was applied for the first time to study freevolume void evolution in chalcogenide glasses of Ga-Ge-Te/Se cut-section exemplified by glassy Ga 10 Ge 15 Te 75 and Ga 10 Ge 15 Te 72 Se 3 doped with 500 ppm of Tb 3+ or Pr 3+ . The collected PAL spectra reconstructed within two-state trapping model reveal decaying tendency in positron trapping efficiency in these glasses under rare-earth doping. This effect results in unchanged or slightly increased defectrelated lifetimes 2 at the cost of more strong decrease in I 2 intensities, as well as reduced positron trapping rate in defects and fraction of trapped positrons. Observed changes are ascribed to rare-earth activated elimination of intrinsic free volumes associated mainly with negatively-charged states of chalcogen atoms especially those neighboring with Ga-based polyhedrons.

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“…In addition, REE-doped ChG fibers are attractive for development of emission fiber sources and amplifiers for the mid-IR. For example, the simulations [7,8] have shown, that for ChG fibers with compositions closed to ones considered here, the high pump-to-signal slope efficiencies can be achieved. In particular, for the Pr(3þ)doped Ga-Ge-As-Se glass fiber, it can reach 45% at a wavelength of 4.5 mm [8].…”

Section: Introductionmentioning

confidence: 79%

Core-clad Pr(3+)-doped Ga(In)-Ge-As-Se-(I) glass fibers: Preparation, investigation, simulation of laser characteristics

et al. 2017

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a b s t r a c t sСore-clad  bers on the basis of high-purity 1300 ppmw Pr(3+ )-doped Ga-Ge-As-Se and 2000 ppmw Pr(3+ )-doped In-Ge-As-Se-I glasses have been prepared. The minimum optical losses of the  bers are at the level of 1 dB/m in the w avelength range, w here there is no in uence of the praseodym ium absorption. At present, it is the best result obtained for core-clad rare-earth-doped chalcogenide  bers w ith high dopant concentration. The  bers exhibit the broadband luminescence in the spect ral range of 3.5 -5.5 m. The values of luminescence lifetime at the w avelength of 4.7 m are w ithin 6.5-8.2 ms closed to those for the bulk glasses obtained previously. Simulation of laser properties for these core-clad  bers in the three-level cascade scheme w as carried out. The low level of optical losses experimentally achieved in these  bers is one of main criteria for development of mid-IR  ber systems. Int r oduct i onChalcogenide glasses (ChG) doped w ith rare earth elements (REE) are w idely discussed in the scienti c literature regarding the possibility of their using for creation of middle infrared (mid-IR)  ber lasers and ampli ers. At present, laser  ber materials for the spectral region beyond 3.9 m have not been experimentally developed. So, ChGs are of current interest due to their characteristics, such as low phonon energies (dow n to 350 cm -1 ), high transparency in the mid-IR range, potential ultra low optical losses, an ability to dissolve the rare earth elements, as w ell as the high calculated values of the quantum ef ciency and lasing slope ef ciency. To characterize the laser  ber materials, the quantum ef ciency determined as a ratio betw een experimental and calculated values of emission lifetime, the lasing slope ef ciency, and the threshold pow er are used to be considered. These characteristics have been evaluated by numerical simulations for the number of chalcogenide multi-component glasses doped w ith REE, taking into consideration the different pump parameters [1][2][3][4][5][6]. Data show ed the high values of quantum ef ciency (up to 100%) and the lasing slope ef- ciency (up to 54%) of these glasses for the mid-IR range.The main advantages of selenide chalcogenide glasses, as potential laser media, are low phonon energy values (230-300 cm -1 ), the possibility to incorporate the rare earth elements in relatively high concentration (thousands of ppm), high values of refractive index (2.6-2.9, depending on glass composition), and, as a consequence, the high values of absorption cross section at the pump w avelength. The set of these properties of ChGs had predetermined a choice of research subjects here, namely, Pr(3+ )-doped Ga(In)-Ge-As-Se glasses and  bers as the materials promising for mid IR-range.Due to the need to prepare  ber laser materials w ith low optical losses, the main focus had been done on the development of ChGs w ith a low content of limiting impurities w hich have negative in- uence on the spectral characteristics of glasses in the range of ...

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Initial boundary value problem for generalized logarithmic improved Boussinesq equation

Cited by 15 publications

References 28 publications

Fabrication and characterization of mid-infrared emission of Pr³⁺ doped selenide chalcogenide glasses and fibres

Fabrication and characterization of mid-infrared emission of Pr³⁺ doped selenide chalcogenide glasses and fibres

PAL spectroscopy of rare-earth doped Ga–Ge–Te/Se glasses

Core-clad Pr(3+)-doped Ga(In)-Ge-As-Se-(I) glass fibers: Preparation, investigation, simulation of laser characteristics

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Initial boundary value problem for generalized logarithmic improved Boussinesq equation

Cited by 15 publications

References 28 publications

Fabrication and characterization of mid-infrared emission of Pr3+ doped selenide chalcogenide glasses and fibres

Fabrication and characterization of mid-infrared emission of Pr3+ doped selenide chalcogenide glasses and fibres

PAL spectroscopy of rare-earth doped Ga–Ge–Te/Se glasses

Core-clad Pr(3+)-doped Ga(In)-Ge-As-Se-(I) glass fibers: Preparation, investigation, simulation of laser characteristics

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Fabrication and characterization of mid-infrared emission of Pr³⁺ doped selenide chalcogenide glasses and fibres

Fabrication and characterization of mid-infrared emission of Pr³⁺ doped selenide chalcogenide glasses and fibres