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    Probing Eu2+ luminescence from different crystallographic sites in Ca10M(PO4)7:Eu2+ (M = Li, Na, and K) with β-Ca3(PO4)2-type structure / M. Chen [et al.] // Chem. Mater. - 2017. - Vol. 29, Is. 17. - P. 7563-7570, DOI 10.1021/acs.chemmater.7b02724. - Cited References: 34. - The present work was supported by the National Natural Science Foundation of China (Grants 51722202, 91622125, and 51572023), Natural Science Foundations of Beijing (2172036), and Fundamental Research Funds for the Central Universities (FRF-TP-16-002A3). C.C.L. and C.C.S. acknowledge the financial support from the Ministry of Science and Technology of Taiwan (Contract No. MOST 104-2113-M-027-007-MY3), and M. Molokeev acknowledges support of the Russian Foundation for Basic Research (17-52-53031). . - ISSN 0897-4756
   Перевод заглавия: Исследование люминесценции Eu2+ в разных кристаллографических положениях в Ca10M(PO4)7:Eu2+ (M = Li, Na and K) со структурой типа beta-Ca3(PO4)2
Кл.слова (ненормированные):
Calcium -- Doping (additives) -- Excited states -- Light emission -- Lithium -- Luminescence -- Phosphors -- Photoluminescence -- Positive ions -- Rietveld refinement -- Single crystals -- Color tuning -- Crystallographic sites -- Different distributions -- Emission bands -- Local environments -- Long wavelength bands -- Luminescent centers -- Power diffraction data -- Europium
Аннотация: Eu2+ local environments in various crystallographic sites enable the different distributions of the emission and excitation energies and then realize the photoluminescence tuning of the Eu2+ doped solid state phosphors. Herein we report the Eu2+-doped Ca10M(PO4)7 (M = Li, Na, and K) phosphors with β-Ca3(PO4)2-type structure, in which there are five cation crystallographic sites, and the phosphors show a color tuning from bluish-violet to blue and yellow with the variation of M ions. The difference in decay rate monitored at selected wavelengths is related to multiple luminescent centers in Ca10M(PO4)7:Eu2+, and the occupied rates of Eu2+ in Ca(1), Ca(2), Ca(3), Na(4), and Ca(5) sites from Rietveld refinements using synchrotron power diffraction data confirm that Eu2+ enters into four cation sites except for Ca(5). Since the average bond lengths d(Ca-O) remain invariable in the Ca10M(PO4)7:Eu2+, the drastic changes of bond lengths d(M-O) and Eu2+ emission depending on the variation from Li to Na and K can provide insight into the distribution of Eu2+ ions. It is found that the emission band at 410 nm is ascribed to the occupation of Eu2+ in the Ca(1), Ca(2), and Ca(3) sites with similar local environments, while the long-wavelength band (466 or 511 nm) is attributed to Eu2+ at the M(4) site (M = Na and K). We show that the crystal-site engineering approach discussed herein can be applied to probe the luminescence of the dopants and provide a new method for photoluminescence tuning.

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Держатели документа:
Beijing Municipal Key Laboratory of New Energy Materials and Technologies, School of Materials Sciences and Engineering, University of Science and Technology Beijing, Beijing, China
Laboratory of Crystal Physics, Kirensky Institute of Physics, Federal Research Center, KSC SB RAS, Krasnoyarsk, Russian Federation
Siberian Federal University, Krasnoyarsk, Russian Federation
Department of Physics, Far Eastern State Transport University, Khabarovsk, Russian Federation
Institute of Organic and Polymeric Materials, National Taipei University of Technology, Taipei, Taiwan
National Synchrotron Radiation Research Center, Hsinchu, Taiwan

Доп.точки доступа:
Chen, M.; Xia, Z.; Molokeev, M. S.; Молокеев, Максим Сергеевич; Lin, C. C.; Su, C.; Chuang, Y. -C.; Liu, Q.
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Effect of long-period ordering of the structure of a plant on the initial stages of photosynthesis / M. A. Korshunov [et al.] // Dokl. Phys. - 2018. - Vol. 63, Is. 1. - P. 1-4, DOI 10.1134/S1028335818010068. - Cited References: 15 . - ISSN 1028-3358
Кл.слова (ненормированные):
Electromagnetic fields -- Plants (botany) -- Density of photonic state -- Long wavelength -- Photosystems -- Plant leaves -- Soft modes -- Stopband -- Two bands -- Water dissociation -- Transfer matrix method
Аннотация: Using data on the structure of plant leaves, specific features of light propagation in biophotoniccrystal structures have been established by the transfer matrix method. Splitting of the stopband in two bands has been found. The density of photonic states and the electromagnetic field value have been calculated. The occurrence of two photosystems (splitting of the stopband in two bands), the peculiarity of the long-wavelength quantum yield and its enhancement (Emerson effect), and water dissociation in the soft mode due to an increase in the electromagnetic field on the layers are explained.

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Публикация на русском языке Влияние длиннопериодической упорядоченности в структуре растений на первичные стадии фотосинтеза [Текст] / М. А. Коршунов [и др.] // Докл. Акад. наук. - 2018. - Т. 478 № 3. - С. 280-283

Держатели документа:
Kirenskii Institute of Physics, Federal Research Center, Krasnoyarsk Science Center, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, Russian Federation
Federal Research Center, Krasnoyarsk Science Center, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Korshunov, M. A.; Коршунов, Михаил Анатольевич; Shabanov, A. V.; Шабанов, Александр Васильевич; Bukhanov, E. R.; Shabanov, V. F.; Шабанов, Василий Филиппович
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Titanium nitride nanoparticles as an alternative platform for plasmonic waveguides in the visible and telecommunication wavelength ranges / V. I. Zakomirnyi [et al.] // Photonics Nanostruc. Fundam. Appl. - 2018. - Vol. 30. - P. 50-56, DOI 10.1016/j.photonics.2018.04.005. - Cited References: 85. - This work was supported by the RF Ministry of Education and Science, the State contract with Siberian Federal University for scientific research in 2017–2019 and SB RAS Program No II.2P (0358-2015-0010). . - ISSN 1569-4410
Кл.слова (ненормированные):
Nanoparticle -- Titanium nitride -- Surface plasmon polariton -- Plasmon waveguide -- Refractory plasmonics
Аннотация: We propose to utilize titanium nitride (TiN) as an alternative material for linear periodic chains (LPCs) of nanoparticles (NPs) which support surface plasmon polariton (SPP) propagation. Dispersion and transmission properties of LPCs have been examined within the framework of the dipole approximation for NPs with various shapes: spheres, prolate and oblate spheroids. It is shown that LPCs of TiN NPs support high-Q eigenmodes for an SPP attenuation that is comparable with LPCs from conventional plasmonic materials such as Au or Ag, with the advantage that the refractory properties and cheap fabrication of TiN nanostructures are more preferable in practical implementations compared to Au and Ag. We show that the SPP decay in TiN LPCs remains almost the same even at extremely high temperatures which is impossible to reach with conventional plasmonic materials. Finally, we show that the bandwidth of TiN LPCs from non-spherical particles can be tuned from the visible to the telecommunication wavelength range by switching the SPP polarization, which is an attractive feature for integrating these structures into modern photonic devices.

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Держатели документа:
Institute of Nanotechnology, Spectroscopy and Quantum Chemistry, Siberian Federal University, Krasnoyarsk, Russian Federation
School of Engineering Sciences in Chemistry, Biotechnology and Health, KTH Royal Institute of Technology, Stockholm, Sweden
The Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana-Champaign, Urbana, IL, United States
Institute of Computational Modeling, Federal Research Center KSC SB RAS, Krasnoyarsk, Russian Federation
Siberian State University of Science and Technology, Krasnoyarsk, Russian Federation
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Zakomirnyi, V. I.; Rasskazov, I. L.; Gerasimov, V. S.; Герасимов, Валерий Сергеевич; Ershov, A. E.; Ершов, Александр Евгеньевич; Polyutov, S. P.; Karpov, S. V.; Карпов, Сергей Васильевич; Agren, H.
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Narrowband wavelength selective thermal emitters by confined tamm plasmon polaritons / Z. -Y. Yang [et al.] // ACS Photonics. - 2017. - Vol. 4, Is. 9. - P. 2212-2219, DOI 10.1021/acsphotonics.7b00408. - Cited References: 41. - This work was supported by the Ministry of Science and Technology (MOST), Taiwan, ROC (MOST 104-2221-E-009-130-MY3) . - ISSN 2330-4022
Кл.слова (ненормированные):
Narrowband absorber -- Tamm plasmon polaritons -- Thermal emission
Аннотация: This study experimentally demonstrates infrared wavelength selective thermal emission based on Tamm plasmon polaritons (TPPs). Unlike conventional TPP structures, which have a thin metal layer on a distributed Bragg reflector (DBR), the proposed structure has a thick metal under a DBR that is more robust for thermal radiation. The number of DBR pairs is a critical factor in maximizing the narrowband emission needed to satisfy the impedance matching condition, which varies with the choice of metal film. Optimum designs for four different metals, aluminum, gold, molybdenum, and tungsten, are presented. The temporal coupled-mode theory was introduced to explain the origin of the high Q-factor of the proposed structure, which can achieve a twice higher Q-factor for the measured emissivity compared to typical plasmonic thermal emitters. The structure is one-dimensional, consisting of only multilayers and free from nanopatterning, offering a practical design in applications such as gas sensing, narrowband IR sources, and thermophotovoltaics. © 2017 American Chemical Society.

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Держатели документа:
Institute of Lighting, Energy Photonics, United Kingdom
Institute of Imaging and Biomedical Photonics, National Chiao Tung University, 301 Gaofa 3rd Road, Tainan, Taiwan
International Center for Materials Nanoarchitectonics (WPI-MANA), National Institute for Materials Science (NIMS), 1-1 Namiki, Tsukuba, Ibaraki, Japan
Institute of Engineering Physics and Radio Electronics, Russian Federation
Institute of Nanotechnology, Spectroscopy and Quantum Chemistry, Siberian Federal University, Krasnoyarsk, Russian Federation
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, Russian Federation
Department of Condensed Matter Physics, Graduate School of Science, Hokkaido University, Kita-10 Nishi-8 Kita-ku, Sapporo, Japan

Доп.точки доступа:
Yang, Z. -Y.; Ishii, S.; Yokoyama, T.; Dao, T. D.; Sun, M. -G.; Pankin, P. S.; Timofeev, I. V.; Тимофеев, Иван Владимирович; Nagao, T.; Chen, K. -P.
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Upconversion luminescence of CsScF4 crystals doped with erbium and ytterbium / D. A. Ikonnikov [et al.] // Opt. Mater. - 2016. - Vol. 60. - P. 584-589, DOI 10.1016/j.optmat.2016.09.016. - Cited References:33. - The authors are grateful to D. L. Chertkova for excellent technical assistance. The work was partially supported by the Russian Foundation for Basic Research Grant 15-52-53080, by the Russian President Grant SS-7612.2016.2, and by Project No0358-2015-0012 of SB RAS Program NoII.2P. . - ISSN 0925-3467. - ISSN 1873-1252

РУБ Materials Science, Multidisciplinary + Optics
Рубрики:
MODULATED STRUCTURE
   LANTHANIDE
   NANOCRYSTALS
   PHOSPHORS
Кл.слова (ненормированные):
Fluoride crystals -- Erbium -- Ytterbium -- Up-conversion -- Luminescence -- Crystal structure -- Power dependence -- Pump wavelength dependence
Аннотация: Tetragonal CsScF4 crystals doped with (5 at.%) Er and Er/Yb (0.5 at.%/5 at.%) are grown and their crystal structure is determined to belong to Pmmn space group. Er and Yb ions are shown to occupy distorted octahedral Sc sites with the center of inversion. Bright visible upconversion luminescence was observed under 970-980 nm pumping with red (4F9/2), yellow (4S3/2) and green (2H11/2) bands of comparable intensity. UCL tuning curves maximize at 972 nm (CSF:Er) and at 969.7 nm (CSF:Er,Yb) pumping wavelengths. Different ratios between yellow-green and red luminescence intensities in CSF:Er and CSF:Er, Yb are explained by contribution of cross-relaxation in CSF:Er UCL UC in CSF:Er is a three stage process while UC in CSF:Er, Yb is a two stage process. The peculiarities of power dependences are explained by the power-dependent repopulation between starting levels of UC. (C) 2016 Elsevier B.V. All rights reserved.

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Держатели документа:
Siberian Fed Univ, Krasnoyarsk, Russia.
LV Kirenskii Inst Phys, Krasnoyarsk, Russia.
Far Eastern State Transport Univ, Khabarovsk, Russia.

Доп.точки доступа:
Ikonnikov, D. A.; Voronov, V. N.; Воронов, Владимир Николаевич; Molokeev, M. S.; Молокеев, Максим Сергеевич; Aleksandrovsky, A. S.; Александровский, Александр Сергеевич; Russian Foundation for Basic Research [15-52-53080]; Russian President [SS-7612.2016.2, 0358-2015-0012, II.2P]
}
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Tsipotan, A. S.
Wavelength-controlled manipulation of colloidal quasi-resonant quantum dots under pulsed laser irradiation / A. S. Tsipotan, A. S. Aleksandrovsky, V. V. Slabko // Proc. SPIE : SPIE, 2016. - Vol. 10027: Nanophotonics and Micro/Nano Optics III. - Ст. 1002711, DOI 10.1117/12.2245386. - Cited References: 11. - The reported study was funded by RFBR and Government of Krasnoyarsk Territory according to the research project № 16-42-240410 and particularly supported by the Ministry of Education and Science of the Russian Federation (No. 3.1749.2014/K, 214/71 for Siberian Federal University); by RFBR research project No. 14-02-00219 A, 16-32-00129; by SB RAS Program №II.2P № 0358-2015-0012.
Кл.слова (ненормированные):
Self-assembly -- nanostructures -- quantum dots -- absorption spectra -- dipole-dipole interaction -- laser control
Аннотация: Production of nanostructures consisting of semiconductor nanoparticles (NPs) is of interest for number of applications. Development of new methods of NPs' manipulation and aggregation of NPs into nanostructures with pre-defined geometry is also of considerable interest from the fundamental point of view. Under laser irradiation with properly chosen wavelengths excitonic excitations of semiconductor NPs will be induced. Electrodynamical interaction between excited NPs is rather universal and allows formation of wide variety of nanostructures both of homo- and heterogeneous content. Theoretical approach for study of interaction of NPs' ensembles with laser light includes dipole-dipole approximation for NPs' attraction. Experimental results are obtained for TGA stabilized CdTe QDs with the excitonic resonance at 520 nm. Six different samples of the same colloid solution were irradiated at wavelengths from 540 to 570 nm. Modifications of absorption spectra of solutions after irradiation was detected, being most prominent at 555 and 560 nm irradiation wavelengths. Analysis of spectra shows that up to 47% of QDs were assembled into pairs with 10 nm inter-QD distance. Therefore, possibility of precise QDs manipulation via laser-induced electrodynamical interaction is demonstrated.

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Доп.точки доступа:
Aleksandrovsky, A. S.; Александровский, Александр Сергеевич; Slabko, V. V.; Nanophotonics and Micro/Nano Optics(3 ; 2016 ; October 12 ; Beijing, China)
}
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Govorun, I. V.
Features of the coupling coefficients of microstrip irregular quarter-wavelength resonators / I. V. Govorun, A. A. Leksikov, A. M. Serzhantov // 13th International Scientific-Technical Conference on Actual Problems of Electronic Instrument Engineering (APEIE) : IEEE, 2017. - Vol. 4. - P. 29-32. - (International Conference on Actual Problems of Electronic Instrument). - Cited References:9 . -

РУБ Engineering, Electrical & Electronic + Instruments & Instrumentation
Рубрики:
HAIRPIN RESONATORS
Кл.слова (ненормированные):
microstrip resonator -- coupling coefficient -- inductive and capacitive -- interactions -- damping pole
Аннотация: In the present work on the base of modified energy approach a behavior of the frequency-dependent coupling coefficient of pair microstrip stepped-impedance quarter-wavelength resonators was investigated. It is revealed that at a certain gap between the resonators the total coefficient of coupling becomes zero due to mutual compensation of coefficients describing inductive and capacitive interactions between the resonators.

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Доп.точки доступа:
Leksikov, A. A.; Serzhantov, A. M.; Сержантов, Алексей Михайлович; Говорун, Илья Валерьевич; International Scientific-Technical Conference on Actual Problems of Electronic Instrument Engineering(13 ; 3-6 Oct. 2016 ; Novosibirsk, Russia)
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Shaping light in backward-wave nonlinear hyperbolic metamaterials / A. K. Popov [et al.] // Photonics. - 2018. - Vol. 5, Is. 2. - Ст. 8, DOI 10.3390/photonics5020008. - Cited References: 46. - Alexander K. Popov acknowledges support by the U. S. Army Research Office under grant number W911NF-14-1-0619. Vitaly V. Slabko acknowledges support by the Ministry of Education and Science of the Russian Federation (project # 3.6341.2017/6.7). . - ISSN 2304-6732

РУБ Optics
Рубрики:
NEGATIVE-INDEX METAMATERIALS
OPTICAL PARAMETRIC OSCILLATOR
Кл.слова (ненормированные):
optical metamaterials -- fundamental concepts in photonics -- light-matter -- interactions at the subwavelength and nanoscale -- fundamental -- understanding of linear and nonlinear optical processes in novel metamaterials underpinning photonic devices and components -- advancing the frontier of nanophotonics with the associated nanoscience and nanotechnology -- nanostructures that can serve as building blocks for nano-optical systems -- use of nanotechnology in photonics -- nonlinear nanophotonics -- plasmonics and excitonics -- subwavelength components and negative index materials -- slowing, store, and processing light pulses -- materials for optical sensing, for tunable optical delay lines, for optical buffers, for high extinction optical switches, for novel image processing hardware, and for highly-efficient wavelength converters
Аннотация: Backward electromagnetic waves are extraordinary waves with contra-directed phase velocity and energy flux. Unusual properties of the coherent nonlinear optical coupling of the phase-matched ordinary and backward electromagnetic waves with contra-directed energy fluxes are described that enable greatly-enhanced frequency and propagation direction conversion, parametrical amplification, as well as control of shape of the light pulses. Extraordinary transient processes that emerge in such metamaterials in pulsed regimes are described. The results of the numerical simulation of particular plasmonic metamaterials with hyperbolic dispersion are presented, which prove the possibility to match phases of such coupled guided ordinary and backward electromagnetic waves. Particular properties of the outlined processes in the proposed metamaterial are demonstrated through numerical simulations. Potential applications include ultra-miniature amplifiers, frequency changing reflectors, modulators, pulse shapers, and remotely actuated sensors.

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Держатели документа:
Purdue Univ, Birck Nanotechnol Ctr, W Lafayette, IN 47907 USA.
Russian Acad Sci, LV Kirensky Inst Phys, Dept Coherent & Nonlinear Opt, Fed Res Ctr,Siberian Branch,Krasnoyarsk Sci Ctr, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Inst Engn Phys & Radioelect, Krasnoyarsk 660041, Russia.
Univ Missouri, Off Chancellor, St Louis, MO 63121 USA.

Доп.точки доступа:
Popov, A. K.; Myslivets, S. A.; Мысливец, Сергей Александрович; Slabko, V. V.; Tkachenko, V. A.; George, T. F.; U. S. Army Research Office [W911NF-14-1-0619]; Ministry of Education and Science of the Russian Federation [3.6341.2017/6.7]
}
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Substrate-mediated lattice Kerker effect in Al metasurfaces / A. S. Kostyukov, A. E. Ershov, R. G. Bikbaev [et al.] // J. Opt. Soc. Am. B. - 2021. - Vol. 38, Is. 9. - P. C78-C83, DOI 10.1364/JOSAB.427939. - Cited References: 62. - Funding. Russian Foundation for Basic Research, Krasnoyarsk Territory and Krasnoyarsk Regional Fund of Science (20-42-240003); Ministry of Science and Higher Education of the Russian Federation (FSRZ-2020-0008) . - ISSN 0740-3224
Кл.слова (ненормированные):
Plasmonic nanoparticles -- Refractive index -- Half-space environment -- Non-homogeneous -- Regular array -- Sensing applications -- Surface lattice -- Theoretical treatments -- Two-dimensional arrays -- Wavelength ranges -- Geometry
Аннотация: Surface lattice resonances (SLRs) emerging in regular arrays of plasmonic nanoparticles (NPs) are known to be exceptionally sensitive to the homogeneity of the environment. It is considered necessary to have a homogeneous environment for engineering narrowband SLRs, while in a half-space environment, SLRs rapidly vanish as the contrast between the refractive indices of the substrate and superstrate increases. From this conventional wisdom, it is apparent that the delicate lattice Kerker effect emerging from SLRs and resonances on constituent NPs should be difficult to achieve in a non-homogeneous environment. Using a rigorous theoretical treatment with multipolar decomposition, we surprisingly find and explain a narrowband substrate-mediated lattice Kerker effect in two-dimensional arrays of Al nanocylinders in a half-space geometry. We propose to use this effect for sensing applications and demonstrate its broad tunability across the UV/Vis wavelength range.

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Держатели документа:
International Research Center of Spectroscopy and Quantum Chemistry-IRC SQC, Siberian Federal University, Krasnoyarsk, 660041, Russian Federation
Institute of Computational Modelling of the Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
L. V. Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, 660036, Russian Federation
The Institute of Optics, University of Rochester, Rochester, NY 14627, United States

Доп.точки доступа:
Kostyukov, A. S.; Ershov, A. E.; Bikbaev, R. G.; Бикбаев, Рашид Гельмединович; Gerasimov, V. S.; Rasskazov, I. L.; Karpov, S. V.; Карпов, Сергей Васильевич; Polyutov, S. P.
}
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10.

Random quasi-phase-matched conversion of broadband radiation in a nonlinear photonic crystal / A. S. Aleksandrovsky [et al.] // Phys. Rev. A. - 2010. - Vol. 82, Is. 5, DOI 10.1103/PhysRevA.82.055806. - Cited Reference Count: 22. - Гранты: The work was supported by the Ministry of Education and Science of the Russian Federation (Contract 16.740.11.0150), Grant of the President of the Russian Federation for the support of leading scientific schools No. SS-4645.2010.2, Grant No. RNP.2.1.1.3455, Projects 2.5.2 and 3.9.1 of PSB RAS, and Projects No. 27.1 and No. 5 of SB RAS. A. M. Vyunishev is grateful for the support from Krasnoyarsk Regional Fund of Science and Technical Activity Support. - Финансирующая организация: Ministry of Education and Science of the Russian Federation [16.740.11.0150]; Russian Federation for the support of leading scientific schools [SS-4645.2010.2, RNP.2.1.1.3455]; PSB RAS [2.5.2, 3.9.1]; SB RAS [27.1, 5]; Krasnoyarsk Regional Fund of Science and Technical Activity . - ISSN 1050-2947
Кл.слова (ненормированные):
Broad spectrum -- Broadband radiation -- Femtosecond laser pulse -- Fundamental wave -- Nonlinear generation -- Nonlinear photonic crystals -- Quasi-phase-matched -- Quasi-phase-matched frequency doubling -- Red shift -- Shorter wavelength -- Tetraborate -- Tuning ranges -- Vacuum ultraviolets -- Band structure -- Crystal structure -- Strontium -- Ultrafast lasers -- Ultrashort pulses -- Photonic crystals
Аннотация: Radiation in the range 187.5-215 nm was generated via random quasi-phase-matched frequency doubling of femtosecond laser pulses in nonlinear photonic crystals of strontium tetraborate. Abroad spectrum of fundamental radiation favors the probing of the nonlinear photonic crystal band structure. The red shift of the band structure upon the fundamental wave-vector rotation was observed. No principal limitations of the tuning range at its shorter wavelength boundary from the nonlinear photonic crystal (NPC) material are found. Calculation shows that the NPC structure enables enhancement of nonlinear generation in the vacuum ultraviolet.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660079, Russia

Доп.точки доступа:
Aleksandrovsky, A.S.; Vyunishev, A.M.; Zaitsev, A.I.; Slabko, V.V.
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