236 research outputs found

    Role of Community Informatics in Socio-Cultural Transformations in Russia and the CIS

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    Role of Community Informatics in Socio-Cultural Transformations in Russia and the CI

    Indexing of Computer Optics in the Emerging Sources Citation Index database

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    Inclusion of the journal Computer Optics in the Emerging Sources Citation Index database is described in this editorial

    Tight focusing of azimuthally polarized optical vortex produced by subwavelength grating

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    Focusing of an optical vortex with sectorial azimuthal polarization is numerically investigated. An effect of sector numbers on the results of focusing is estimated. It is shown that the focal spot produced by a beam with six sectors does not differ from the ideally azimuthally polarized optical vortex; a difference in the focal spot diameter does not exceed 0.001 of the wavelength. For a four-sectoral beam, the difference does not exceed 0.028 of the wavelength. We have investigated a four-Sector transmission Polarization Converter for a wavelength of 633 nm, that enables the conversion of a linearly polarized incident beam into a mixture of linearly and azimuthally polarized beams. It was experimentally shown that light propagated through the four-Sector transmission Polarization Converter and focused by Fresnel zone plate with a focal length of 532 nm produces focal spot with diameters 0.46 and 0.57 of wavelength.Publisher PD

    Estimating the scale of stone axe production: A case study from Onega Lake, Russian Karelia

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    The industry of metatuff axes and adzes on the western coast of Onega Lake (Eneolithic period, ca. 3500 – 1500 cal. BC) allows assuming some sort of craft specialization. Excavations of a workshop site Fofanovo XIII, conducted in 2010-2011, provided an extremely large assemblage of artefacts (over 350000 finds from just 30 m2, mostly production debitage). An attempt to estimate the output of production within the excavated area is based on experimental data from a series of replication experiments. Mass-analysis with the aid of image recognition software was used to obtain raw data from flakes from excavations and experiments. Statistical evaluation assures that the experimental results can be used as a basement for calculations. According to the proposed estimation, some 500 – 1000 tools could have been produced here, and this can be qualified as an evidence of β€œmass-production”

    Subwavelength grating-based spiral metalens for tight focusing of laser light

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    In this paper, we investigate a 16-sector spiral metalens fabricated on a thin film (130 nm) of amorphous silicon, consisting of a set of subwavelength binary diffractive gratings and with a numerical aperture that is close to unity. The metalens converts linearly polarized incident light into an azimuthally polarized optical vortex and focuses it at a distance approximately equal to the wavelength of the incident light, k ΒΌ 633 nm. Using a scanning near-field optical microscope, it is shown experimentally that the metalens forms an elliptical focal spot with diameters smaller than the diffraction limit: FWHMx ΒΌ 0.32k (60.03k) and FWHMy ΒΌ 0.51k (60.03k). The experimental results are close to those of a numerical simulation using the FDTD method, with FWHMx ΒΌ 0.37k and FWHMy ΒΌ 0.49k. The technological errors due to manufacturing were taken into account in the simulation. This is the smallest focal spot yet obtained with a metalens

    Subwavelength micropolarizer in a gold film for visible light

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    Engineering and Physical Sciences Research Council (EPSRC) (EP/L017008/1); European Research Council (337508); Russian Foundation for Basic Research (RFBR) (14-07-97039, 14-29-07133, 15-07-01174, 15-37-20723, 16-07-00990, 16-29-11698); Ministry of Education and Science of the Russian Federation (MK-9019.2016.2).We have designed and fabricated a 100 ΞΌm x 100 ΞΌm four-sector binary subwavelength reflecting polarization microconverter in a gold film. Using finite-difference time-domain-aided numerical simulations and experiments, the micropolarizer was shown to convert an incident linearly polarized Gaussian beam of wavelength 532 nm into an azimuthally polarized beam. Conditions for generating on-axis regions of nonzero intensity when using propagating optical vortices with different initial polarization were deduced. By putting a spiral phase plate into an azimuthally polarized beam, the intensity pattern was shown to change from diffraction rings to a central peak.PostprintPeer reviewe

    A transverse energy flow at the tight focus of light with higher-order circular-azimuthal polarization

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    РассмотрСна острая фокусировка свСта с циркулярно-Π°Π·ΠΈΠΌΡƒΡ‚Π°Π»ΡŒΠ½ΠΎΠΉ поляризациСй m-Π³ΠΎ порядка. Π­Ρ‚ΠΎ Π½ΠΎΠ²Ρ‹ΠΉ Ρ‚ΠΈΠΏ Π½Π΅ΠΎΠ΄Π½ΠΎΡ€ΠΎΠ΄Π½ΠΎΠΉ Π³ΠΈΠ±Ρ€ΠΈΠ΄Π½ΠΎΠΉ поляризации, ΠΎΠ±ΡŠΠ΅Π΄ΠΈΠ½ΡΡŽΡ‰ΠΈΠΉ свойства цилиндричСской поляризации m-Π³ΠΎ порядка ΠΈ ΠΊΡ€ΡƒΠ³ΠΎΠ²ΠΎΠΉ поляризации. Π‘ ΠΏΠΎΠΌΠΎΡ‰ΡŒΡŽ Ρ„ΠΎΡ€ΠΌΠ°Π»ΠΈΠ·ΠΌΠ° Π ΠΈΡ‡Π°Ρ€Π΄ΡΠ°β€“Π’ΠΎΠ»ΡŒΡ„Π° ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½Ρ‹ аналитичСскиС выраТСния Π² фокусС для ΠΏΡ€ΠΎΠ΅ΠΊΡ†ΠΈΠΉ Π²Π΅ΠΊΡ‚ΠΎΡ€ΠΎΠ² напряТСнности элСктричСского ΠΈ ΠΌΠ°Π³Π½ΠΈΡ‚Π½ΠΎΠ³ΠΎ ΠΏΠΎΠ»Π΅ΠΉ, распрСдСлСния интСнсивности, ΠΏΡ€ΠΎΠ΅ΠΊΡ†ΠΈΠΉ Π²Π΅ΠΊΡ‚ΠΎΡ€Π° ΠŸΠΎΠΉΠ½Ρ‚ΠΈΠ½Π³Π° ΠΈ спинового ΡƒΠ³Π»ΠΎΠ²ΠΎΠ³ΠΎ ΠΌΠΎΠΌΠ΅Π½Ρ‚Π°. ВСорСтичСски ΠΈ числСнно ΠΏΠΎΠΊΠ°Π·Π°Π½ΠΎ, Ρ‡Ρ‚ΠΎ ΠΈΠ½Ρ‚Π΅Π½ΡΠΈΠ²Π½ΠΎΡΡ‚ΡŒ Π² фокусС ΠΈΠΌΠ΅Π΅Ρ‚ 2(m+1) Π»ΠΎΠΊΠ°Π»ΡŒΠ½Ρ‹Ρ… максимумов, располоТСнных вдоль Π·Π°ΠΌΠΊΠ½ΡƒΡ‚ΠΎΠ³ΠΎ ΠΊΠΎΠ½Ρ‚ΡƒΡ€Π° с Π½ΡƒΠ»Π΅Π²ΠΎΠΉ ΠΈΠ½Ρ‚Π΅Π½ΡΠΈΠ²Π½ΠΎΡΡ‚ΡŒΡŽ Π² Ρ†Π΅Π½Ρ‚Ρ€Π΅ (Π½Π° оптичСской оси). Показано, Ρ‡Ρ‚ΠΎ Π² фокусС имССтся 4m Π²ΠΈΡ…Ρ€Π΅ΠΉ ΠΏΠΎΠΏΠ΅Ρ€Π΅Ρ‡Π½ΠΎΠ³ΠΎ ΠΏΠΎΡ‚ΠΎΠΊΠ° энСргии, Ρ†Π΅Π½Ρ‚Ρ€Ρ‹ ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Ρ… располоТСны ΠΌΠ΅ΠΆΠ΄Ρƒ Π»ΠΎΠΊΠ°Π»ΡŒΠ½Ρ‹ΠΌΠΈ максимумами интСнсивности. Π’Π°ΠΊΠΆΠ΅ ΠΏΠΎΠΊΠ°Π·Π°Π½ΠΎ, Ρ‡Ρ‚ΠΎ ΠΏΠΎΠΏΠ΅Ρ€Π΅Ρ‡Π½Ρ‹ΠΉ ΠΏΠΎΡ‚ΠΎΠΊ энСргии мСняСт Π½Π°ΠΏΡ€Π°Π²Π»Π΅Π½ΠΈΠ΅ вращСния 2(2m+1) Ρ€Π°Π·Π° ΠΏΡ€ΠΈ ΠΎΠ±Ρ…ΠΎΠ΄Π΅ Π² плоскости фокуса Π²ΠΎΠΊΡ€ΡƒΠ³ оптичСской оси. Π˜Π½Ρ‚Π΅Ρ€Π΅ΡΠ½ΠΎ, Ρ‡Ρ‚ΠΎ ΠΏΡ€ΠΎΠ΄ΠΎΠ»ΡŒΠ½Π°Ρ проСкция спинового ΡƒΠ³Π»ΠΎΠ²ΠΎΠ³ΠΎ ΠΌΠΎΠΌΠ΅Π½Ρ‚Π° Π² фокусС мСняСт Π·Π½Π°ΠΊ 4m Ρ€Π°Π·Π°. Π’ Ρ‚Π΅Ρ… областях плоскости фокуса, Π³Π΄Π΅ ΠΏΠΎΠΏΠ΅Ρ€Π΅Ρ‡Π½Ρ‹ΠΉ ΠΏΠΎΡ‚ΠΎΠΊ энСргии вращаСтся ΠΏΡ€ΠΎΡ‚ΠΈΠ² часовой стрСлки, ΠΏΡ€ΠΎΠ΄ΠΎΠ»ΡŒΠ½Π°Ρ проСкция спинового ΡƒΠ³Π»ΠΎΠ²ΠΎΠ³ΠΎ ΠΌΠΎΠΌΠ΅Π½Ρ‚Π° ΠΏΠΎΠ»ΠΎΠΆΠΈΡ‚Π΅Π»ΡŒΠ½Π°Ρ, Π° Π²Π΅ΠΊΡ‚ΠΎΡ€ поляризации вращаСтся Π² плоскости фокуса ΠΏΡ€ΠΎΡ‚ΠΈΠ² часовой стрСлки. И Π½Π°ΠΎΠ±ΠΎΡ€ΠΎΡ‚, Π³Π΄Π΅ ΠΏΠΎΡ‚ΠΎΠΊ энСргии вращаСтся ΠΏΠΎ часовой стрСлкС, Ρ‚Π°ΠΌ ΠΈ Π²Π΅ΠΊΡ‚ΠΎΡ€ поляризации вращаСтся ΠΏΠΎ часовой стрСлкС, Π° ΠΏΡ€ΠΎΠ΄ΠΎΠ»ΡŒΠ½Π°Ρ проСкция спинового ΡƒΠ³Π»ΠΎΠ²ΠΎΠ³ΠΎ ΠΌΠΎΠΌΠ΅Π½Ρ‚Π° ΠΎΡ‚Ρ€ΠΈΡ†Π°Ρ‚Π΅Π»ΡŒΠ½Π°Ρ. ΠœΠΎΠ΄Π΅Π»ΠΈΡ€ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΠΎΠ΄Ρ‚Π²Π΅Ρ€ΠΆΠ΄Π°Π΅Ρ‚ Π²Ρ‹Π²ΠΎΠ΄Ρ‹ Ρ‚Π΅ΠΎΡ€ΠΈΠΈ. Tight focusing of light with mth-order circular-azimuthal polarization was investigated. This is a new type of inhomogeneous hybrid polarization that combines the properties of mth order cylindrical polarization and circular polarization. Using the Richards-Wolf formalism, we obtained analytical expressions in the focal spot for the projections of the electric and magnetic field, the intensity distribution, the projections of the Poynting vector, and the spin angular momentum. It was shown theoretically and numerically that at the focus, the intensity has 2(m+1) local maxima located on a circle centered on an on-axis intensity null. It was shown that 4m vortices of a transverse energy flow were produced at the focus, with their centers located between the local intensity maxima. It was also shown that in the focal plane, the transverse energy flow changes the direction of rotation 2(2m+1) times around the optical axis. It is interesting that the longitudinal projection of the spin angular momentum at the focus changes sign 4m times. In those areas of the focal plane where the transverse energy flow rotates counterclockwise, the longitudinal projection of the spin angular momentum is positive, and the polarization vector rotates counterclockwise in the focal plane. Conversely, if the energy flow rotates clockwise, the polarization vector rotates clockwise, and the longitudinal projection of the spin angular momentum is negative. Numerical simulations are in agreement with the theoretical investigation.Π Π°Π±ΠΎΡ‚Π° Π²Ρ‹ΠΏΠΎΠ»Π½Π΅Π½Π° ΠΏΡ€ΠΈ ΠΏΠΎΠ΄Π΄Π΅Ρ€ΠΆΠΊΠ΅ ΠœΠΈΠ½ΠΈΡΡ‚Π΅Ρ€ΡΡ‚Π²Π° Π½Π°ΡƒΠΊΠΈ ΠΈ Π²Ρ‹ΡΡˆΠ΅Π³ΠΎ образования Π² Ρ€Π°ΠΌΠΊΠ°Ρ… выполнСния Ρ€Π°Π±ΠΎΡ‚ ΠΏΠΎ ГосударствСнному заданию ЀНИЦ Β«ΠšΡ€ΠΈΡΡ‚Π°Π»Π»ΠΎΠ³Ρ€Π°Ρ„ΠΈΡ ΠΈ Ρ„ΠΎΡ‚ΠΎΠ½ΠΈΠΊΠ°Β» РАН Π² частях Β«Π’Π²Π΅Π΄Π΅Π½ΠΈΠ΅Β» ΠΈ Β«Π—Π°ΠΊΠ»ΡŽΡ‡Π΅Π½ΠΈΠ΅Β», Российского Π½Π°ΡƒΡ‡Π½ΠΎΠ³ΠΎ Ρ„ΠΎΠ½Π΄Π° (Π³Ρ€Π°Π½Ρ‚ β„– 18-19-00595) Π² части Β«Π Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ модСлирования фокусировки свСта с Π³ΠΈΠ±Ρ€ΠΈΠ΄Π½ΠΎΠΉ поляризациСй», Российского Ρ„ΠΎΠ½Π΄Π° Ρ„ΡƒΠ½Π΄Π°ΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½Ρ‹Ρ… исслСдований РЀЀИ (Π³Ρ€Π°Π½Ρ‚ β„– 18-29-20003) Π² части Β«Π˜Π½Ρ‚Π΅Π½ΡΠΈΠ²Π½ΠΎΡΡ‚ΡŒ свСта с Π³ΠΈΠ±Ρ€ΠΈΠ΄Π½ΠΎΠΉ поляризациСй Π² фокусС»)

    The photonic nanojets formation by two-dimensional microprisms

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    Π‘ ΠΏΠΎΠΌΠΎΡ‰ΡŒΡŽ ΠΌΠ΅Ρ‚ΠΎΠ΄Π° ΠΊΠΎΠ½Π΅Ρ‡Π½Ρ‹Ρ… элСмСнтов, Ρ€Π΅Π°Π»ΠΈΠ·ΠΎΠ²Π°Π½Π½ΠΎΠ³ΠΎ Π² ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠΌΠ½ΠΎΠΌ ΠΏΠ°ΠΊΠ΅Ρ‚Π΅ COMSOL Multiphysics, числСнно исслСдовалась фокусировка Π»Π°Π·Π΅Ρ€Π½ΠΎΠ³ΠΎ излучСния диэлСктричСскими ΠΏΡ€ΠΈΠ·ΠΌΠ°ΠΌΠΈ с Ρ‚Ρ€Π΅ΡƒΠ³ΠΎΠ»ΡŒΠ½Ρ‹ΠΌ ΠΏΡ€ΠΎΡ„ΠΈΠ»Π΅ΠΌ. Π‘Ρ‹Π»ΠΎ ΠΏΠΎΠΊΠ°Π·Π°Π½ΠΎ, Ρ‡Ρ‚ΠΎ Π΄Π²ΡƒΠΌΠ΅Ρ€Π½Ρ‹Π΅ Ρ‚Ρ€Π΅ΡƒΠ³ΠΎΠ»ΡŒΠ½Ρ‹Π΅ ΠΏΡ€ΠΈΠ·ΠΌΡ‹ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡŽΡ‚ Ρ„ΠΎΠΊΡƒΡΠΈΡ€ΠΎΠ²Π°Ρ‚ΡŒ свСт Π² свободном пространствС Π² пятна с Ρ€Π°Π·ΠΌΠ΅Ρ€Π°ΠΌΠΈ мСньшС скалярного Π΄ΠΈΡ„Ρ€Π°ΠΊΡ†ΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΠΏΡ€Π΅Π΄Π΅Π»Π°. НапримСр, ΠΏΡ€ΠΈΠ·ΠΌΠ° ΠΈΠ· ΠΊΠ²Π°Ρ€Ρ†Π΅Π²ΠΎΠ³ΠΎ стСкла с ΡˆΠΈΡ€ΠΈΠ½ΠΎΠΉ основания 60 ΠΌΠΊΠΌ ΠΈ высотой 28,5 ΠΌΠΊΠΌ, освСщаСмая свСтом с Π΄Π»ΠΈΠ½ΠΎΠΉ Π²ΠΎΠ»Π½Ρ‹ 4 ΠΌΠΊΠΌ, Ρ„ΠΎΡ€ΠΌΠΈΡ€ΡƒΠ΅Ρ‚ Ρ„ΠΎΡ‚ΠΎΠ½Π½ΡƒΡŽ Π½Π°Π½ΠΎΡΡ‚Ρ€ΡƒΡŽ с максимальной ΠΈΠ½Ρ‚Π΅Π½ΡΠΈΠ²Π½ΠΎΡΡ‚ΡŒΡŽ, Π² 6 Ρ€Π°Π· ΠΏΡ€Π΅Π²Ρ‹ΡˆΠ°ΡŽΡ‰Π΅ΠΉ ΠΈΠ½Ρ‚Π΅Π½ΡΠΈΠ²Π½ΠΎΡΡ‚ΡŒ ΠΏΠ°Π΄Π°ΡŽΡ‰Π΅Π³ΠΎ излучСния, ΠΈ ΡˆΠΈΡ€ΠΈΠ½ΠΎΠΉ ΠΏΠΎ полуспаду интСнсивности, Ρ€Π°Π²Π½ΠΎΠΉ 0,38 ΠΎΡ‚ Π΄Π»ΠΈΠ½Ρ‹ Π²ΠΎΠ»Π½Ρ‹ фокусируСмого излучСния. Π Π°Π·ΠΌΠ΅Ρ€Ρ‹ фокусного пятна ΠΌΠΎΠΆΠ½ΠΎ ΡƒΠΌΠ΅Π½ΡŒΡˆΠ°Ρ‚ΡŒ, Ссли высота ΠΏΡ€ΠΈΠ·ΠΌΡ‹ ΠΏΠΎΠ΄ΠΎΠ±Ρ€Π°Π½Π° Ρ‚Π°ΠΊΠΈΠΌ ΠΎΠ±Ρ€Π°Π·ΠΎΠΌ, Ρ‡Ρ‚ΠΎΠ±Ρ‹ максимум интСнсивности располагался Π²Π½ΡƒΡ‚Ρ€ΠΈ ΠΏΡ€ΠΈΠ·ΠΌΡ‹. Π’ частности, ΠΏΡ€ΠΈΠ·ΠΌΠ° ΠΈΠ· Ρ‚ΠΈΡ‚Π°Π½Π°Ρ‚Π° бария с высотой 21 ΠΌΠΊΠΌ ΠΈ ΡˆΠΈΡ€ΠΈΠ½ΠΎΠΉ основания 60 ΠΌΠΊΠΌ Ρ„ΠΎΡ€ΠΌΠΈΡ€ΡƒΠ΅Ρ‚ нСпосрСдствСнно Π·Π° своСй Π²Π΅Ρ€ΡˆΠΈΠ½ΠΎΠΉ фокусноС пятно с ΡˆΠΈΡ€ΠΈΠ½ΠΎΠΉ, ΠΏΠΎ полуспаду интСнсивности Ρ€Π°Π²Π½ΠΎΠΉ 0,25 ΠΎΡ‚ Π΄Π»ΠΈΠ½Ρ‹ Π²ΠΎΠ»Π½Ρ‹ фокусируСмого излучСния. Π‘Ρ‹Π»ΠΎ ΠΏΠΎΠΊΠ°Π·Π°Π½ΠΎ, Ρ‡Ρ‚ΠΎ использованиС ΠΏΡ€ΠΈΠ·ΠΌΡ‹ ΠΏΡ€ΠΈΠ²ΠΎΠ΄ΠΈΡ‚ ΠΊ мСньшСй зависимости ΡˆΠΈΡ€ΠΈΠ½Ρ‹ фокусного пятна ΠΎΡ‚ Π΄Π»ΠΈΠ½Ρ‹ Π²ΠΎΠ»Π½Ρ‹ ΠΏΠΎ ΡΡ€Π°Π²Π½Π΅Π½ΠΈΡŽ с ΠΌΠΈΠΊΡ€ΠΎΡ†ΠΈΠ»ΠΈΠ½Π΄Ρ€ΠΎΠΌ. НапримСр, Ρƒ ΠΌΠΈΠΊΡ€ΠΎΡ†ΠΈΠ»ΠΈΠ½Π΄Ρ€Π° ΠΈΠ· ΠΊΠ²Π°Ρ€Ρ†Π΅Π²ΠΎΠ³ΠΎ стСкла с Π΄ΠΈΠ°ΠΌΠ΅Ρ‚Ρ€ΠΎΠΌ 60 ΠΌΠΊΠΌ смСна Π΄Π»ΠΈΠ½Ρ‹ Π²ΠΎΠ»Π½Ρ‹ с 3 ΠΌΠΊΠΌ Π΄ΠΎ 5 ΠΌΠΊΠΌ ΠΏΡ€ΠΈΠ²ΠΎΠ΄ΠΈΡ‚ ΠΊ измСнСнию ΡˆΠΈΡ€ΠΈΠ½Ρ‹ пятна Π½Π° 0,09 ΠΎΡ‚ Π΄Π»ΠΈΠ½Ρ‹ Π²ΠΎΠ»Π½Ρ‹ фокусируСмого излучСния, Π° Ρƒ ΠΏΡ€ΠΈΠ·ΠΌΡ‹ Π² срСднСм Π½Π° 0,05 ΠΎΡ‚ Π΄Π»ΠΈΠ½Ρ‹ Π²ΠΎΠ»Π½Ρ‹ фокусируСмого излучСния. Using the finite difference method implemented in the COMSOL Multiphysics software package, the focusing of laser radiation by dielectric prisms with a triangular profile was numerically investigated. It was shown that two-dimensional triangular prisms make it possible to focus light in free space into spots with dimensions smaller than the scalar diffraction limit. In particular, a silica glass prism with a base width of 60 ΞΌm and a height of 28.5 ΞΌm forms a photonic nanojet with a maximum intensity of 6 times the intensity of the incident radiation and a width of FWHM=0.38Ξ». A prism from barium titanate with a base width of 60 ΞΌm and a height of 20 ΞΌm allows to obtain a photonic nanojet with the same width (0.38Ξ») and a maximum intensity 5 times the intensity of the incident radiation. The size of the focal spot can be reduced further if the height of the prism is selected so that the maximum intensity is located inside the material of the prism. For example, a barium titanate prism with a height of 21 ΞΌm and a base width of 60 ΞΌm forms a focal spot with a width of FWHM=0.25Ξ».Π Π°Π±ΠΎΡ‚Π° Π²Ρ‹ΠΏΠΎΠ»Π½Π΅Π½Π° ΠΏΡ€ΠΈ ΠΏΠΎΠ΄Π΄Π΅Ρ€ΠΆΠΊΠ΅ Российского Π€ΠΎΠ½Π΄Π° Π€ΡƒΠ½Π΄Π°ΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½Ρ‹Ρ… ИсслСдований – Π³Ρ€Π°Π½Ρ‚ 18-07-01122 Π² части «Ѐокусировка излучСния Ρ‚Ρ€Π΅ΡƒΠ³ΠΎΠ»ΡŒΠ½ΠΎΠΉ ΠΏΡ€ΠΈΠ·ΠΌΠΎΠΉ ΠΈΠ· ΠΊΠ²Π°Ρ€Ρ†Π΅Π²ΠΎΠ³ΠΎ стСкла», Π³Ρ€Π°Π½Ρ‚ 18-07-01380 Π² части «Ѐокусировка излучСния ΠΊΡ€ΡƒΠ³Π»Ρ‹ΠΌ Ρ†ΠΈΠ»ΠΈΠ½Π΄Ρ€ΠΎΠΌΒ» ΠΈ Π³Ρ€Π°Π½Ρ‚ 18-29-20003 Π² части «ВлияниС показатСля прСломлСния Π½Π° ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€Ρ‹ фокусного пятна», ΠΈ ΠœΠΈΠ½ΠΈΡΡ‚Π΅Ρ€ΡΡ‚Π²Π° Π½Π°ΡƒΠΊΠΈ ΠΈ Π²Ρ‹ΡΡˆΠ΅Π³ΠΎ образования Π Π€ Π² Ρ€Π°ΠΌΠΊΠ°Ρ… выполнСния Ρ€Π°Π±ΠΎΡ‚ ΠΏΠΎ ГосударствСнному заданию ЀНИЦ Β«ΠšΡ€ΠΈΡΡ‚Π°Π»Π»ΠΎΠ³Ρ€Π°Ρ„ΠΈΡ ΠΈ Ρ„ΠΎΡ‚ΠΎΠ½ΠΈΠΊΠ°Β» РАН Π² части Β«Π’Π²Π΅Π΄Π΅Π½ΠΈΠ΅Β»
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