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Author Semenov, A. D.; Hübers, H.-W.; Gol’tsman, G. N.; Smirnov, K.
Title Superconducting quantum detector for astronomy and X-ray spectroscopy Type Conference Article
Year 2002 Publication (up) Proc. Int. Workshop on Supercond. Nano-Electronics Devices Abbreviated Journal Proc. Int. Workshop on Supercond. Nano-Electronics Devices
Volume Issue Pages 201-210
Keywords NbN SSPD, SNSPD, SQD, superconducting quantum detectors, X-ray spectroscopy
Abstract We propose the novel concept of ultra-sensitive energy-dispersive superconducting quantum detectors prospective for applications in astronomy and X-ray spectroscopy. Depending on the superconducting material and operation conditions, such detector may allow realizing background limited noise equivalent power 10−21 W Hz−1/2 in the terahertz range when exposed to 4-K background radiation or counting of 6-keV photon with almost 10—4 energy resolution. Planar layout and relatively simple technology favor integration of elementary detectors into a detector array.
Address Naples, Italy
Corporate Author Thesis
Publisher Springer Place of Publication Boston, MA Editor Pekola, J.; Ruggiero, B.; Silvestrini, P.
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN ISBN 978-1-4615-0737-6 Medium
Area Expedition Conference International Workshop on Superconducting Nano-Electronics Devices, May 28-June 1, 2001
Notes Approved no
Call Number semenov2002superconducting Serial 1525
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Author Ryabchun, S.; Smirnov, A.; Pentin, I.; Vakhtomin, Yu.; Smirnov, K.; Kaurova, N.; Voronov, B.; Goltsman, G.
Title Superconducting single photon detector integrated with optical cavity Type Conference Article
Year 2011 Publication (up) Proc. MLPLIT Abbreviated Journal Proc. MLPLIT
Volume Issue Pages 143-145
Keywords NbN SSPD, cavity
Abstract
Address Suzdal / Vladimir (Russia)
Corporate Author Thesis
Publisher Modern laser physics and laser-information technologies for science and manufacture Place of Publication Editor
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN ISBN Medium
Area Expedition Conference 1st international russian-chinese conference / youthschool-workshop
Notes September 23-28, 2011 Approved no
Call Number Serial 1385
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Author Maslennikova, A.; Larionov, P.; Ryabchun, S.; Smirnov, A.; Pentin, I.; Vakhtomin, Yu.; Smirnov, K.; Kaurova, N.; Voronov, B.; Goltsman, G.
Title Noise equivalent power and dynamic range of NBN hot-electron bolometers Type Conference Article
Year 2011 Publication (up) Proc. MLPLIT Abbreviated Journal Proc. MLPLIT
Volume Issue Pages 146-148
Keywords NbN HEB
Abstract
Address Suzdal / Vladimir (Russia)
Corporate Author Thesis
Publisher Modern laser physics and laser-information technologies for science and manufacture Place of Publication Editor
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN ISBN Medium
Area Expedition Conference 1st international russian-chinese conference / youthschool-workshop
Notes September 23-28, 2011 Approved no
Call Number Serial 1386
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Author Gol'tsman, G.; Maslennikov, S.; Finkel, M.; Antipov, S.; Kaurova, N.; Grishina, E.; Polyakov, S.; Vachtomin, Y.; Svechnikov, S.; Smirnov, K.; Voronov, B.
Title Nanostructured ultrathin NbN film as a terahertz hot-electron bolometer mixer Type Conference Article
Year 2006 Publication (up) Proc. MRS Abbreviated Journal Proc. MRS
Volume 935 Issue Pages 210 (1 to 6)
Keywords NbN HEB mixers
Abstract Planar spiral antenna coupled and directly lens coupled NbN HEB mixer structures are studied. An additional MgO buffer layer between the superconducting film and Si substrate is introduced. The buffer layer enables us to increase the gain bandwidth of a HEB mixer due to better acoustic transparency. The gain bandwidth is widened as NbN film thickness decreases and amounts to 5.2 GHz. The noise temperature of antenna coupled mixer is 1300 and 3100 K at 2.5 and 3.8 THz respectively. The structure and composition of NbN films is investigated by X-ray diffraction spectroscopy methods. Noise performance degradation at LO frequencies more than 3 THz is due to the use of a planar antenna and signal loss in contacts between the antenna and the sensitive NbN bridge. The mixer is reconfigured for operation at higher frequencies in a manner that receiver’s noise temperature is only 2300 K (3 times of quantum limit) at LO frequency of 30 THz.
Address
Corporate Author Thesis
Publisher Place of Publication Editor
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0272-9172 ISBN Medium
Area Expedition Conference
Notes Approved no
Call Number Serial 1440
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Author Jiang, L.; Zhang, W.; Yao, Q. J.; Lin, Z. H.; Li, J.; Shi, S. C.; Svechnikov, S. I.; Vachtomin, Y. B.; Antipov, S. V.; Voronov, B. M.; Kaurova, N. S.; Gol'tsman, G. N.
Title Characterization of a quasi-optical NbN superconducting hot-electron bolometer mixer Type Conference Article
Year 2005 Publication (up) Proc. PIERS Abbreviated Journal Proc. PIERS
Volume 1 Issue 5 Pages 587-590
Keywords NbN HEB mixers
Abstract In this paper, we report the performance of a quasi-optical NbN superconducting HEB (hot electron bolome-ter) mixer measured at 500 GHz. The quasi-optical NbN superconducting HEB mixer is cryogenically cooled bya 4-K close-cycled refrigerator. Its receiver noise temperature and conversion gain are thoroughly investigatedfor different LO pumping levels and dc biases. The lowest receiver noise temperature is found to be approxi-mately 1200 K, and reduced to about 445 K after correcting theloss of the measurement system. The stabilityof the mixer’s IF output power is also demonstrated.
Address Hangzhou, China
Corporate Author Thesis
Publisher Place of Publication Editor
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 1931-7360 ISBN Medium
Area Expedition Conference Progress In Electromagnetics Research Symposium
Notes Approved no
Call Number Serial 1482
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Author Korneev, A. A.
Title Superconducting NbN microstrip single-photon detectors Type Abstract
Year 2021 Publication (up) Proc. Quantum Optics and Photon Counting Abbreviated Journal Proc. Quantum Optics and Photon Counting
Volume 11771 Issue Pages
Keywords NbN SSPD, SNSPD
Abstract Superconducting Single-Photon Detectors (SSPD) invented two decades ago have evolved to a mature technology and have become devices of choice in the advanced applications of quantum optics, such as quantum cryptography and optical quantum computing. In these applications SSPDs are coupled to single-mode fibers and feature almost unity detection efficiency, negligible dark counts, picosecond timing jitter and MHz photon count rate. Meanwhile, there are great many applications requiring coupling to multi-mode fibers or free space. ‘Classical’ SSPDs with 100-nm-wide superconducting strip and covering area of about 100 µm2 are not suitable for further scaling due to degradation of performance and low fabrication yield. Recently we have demonstrated single-photon counting in micron-wide superconducting bridges and strips. Here we present our approach to the realization of practical photon-counting detectors of large enough area to be efficiently coupled to multi-mode fibers or free space. The detector is either a meander or a spiral of 1-µm-wide strip covering an area of 50x50 µm2. Being operated at 1.7K temperature it demonstrates the saturated detection efficiency (i.e. limited by the absorption in the detector) up to 1550 nm wavelength, about 10 ns dead time and timing jitter in range 50-100 ps.
Address
Corporate Author Thesis
Publisher SPIE Place of Publication Editor Prochazka, I.; Štefaňák, M.; Sobolewski, R.; Gábris, A.
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN ISBN Medium
Area Expedition Conference Quantum Optics and Photon Counting; SPIE Optics + Optoelectronics, 2021, Online Only
Notes Approved no
Call Number Serial 1784
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Author Gol'tsman, Gregory N.; Vachtomin, Yuriy B.; Antipov, Sergey V.; Finkel, Matvey I.; Maslennikov, Sergey N.; Smirnov, Konstantin V.; Polyakov, Stanislav L.; Svechnikov, Sergey I.; Kaurova, Natalia S.; Grishina, Elisaveta V.; Voronov, Boris M.
Title NbN phonon-cooled hot-electron bolometer mixer for terahertz heterodyne receivers Type Conference Article
Year 2005 Publication (up) Proc. SPIE Abbreviated Journal Proc. SPIE
Volume 5727 Issue Pages 95-106
Keywords NbN HEB mixers
Abstract We present the results of our studies of NbN phonon-cooled HEB mixers at terahertz frequencies. The mixers were fabricated from NbN film deposited on a high-resistivity Si substrate with an MgO buffer layer. The mixer element was integrated with a log-periodic spiral antenna. The noise temperature measurements were performed at 2.5 THz and at 3.8 THz local oscillator frequencies for the 3 x 0.2 μm2 active area devices. The best uncorrected receiver noise temperatures found for these frequencies are 1300 K and 3100 K, respectively. A water vapour discharge laser was used as the LO source. The largest gain bandwidth of 5.2 GHz was achieved for a mixer based on 2 nm thick NbN film deposited on MgO layer over Si substrate. The gain bandwidth of the mixer based on 3.5 nm NbN film deposited on Si with MgO is 4.2 GHz and the noise bandwidth for the same device amounts to 5 GHz. We also present the results of our research into decrease of the direct detection contribution to the measured Y-factor and a possible error of noise temperature calculation. The use of a square nickel cell mesh as an IR-filter enabled us to avoid the effect of direct detection and measure apparent value of the noise temperature which was 16% less than that obtained using conventional black polyethylene IR-filter.
Address
Corporate Author Thesis
Publisher Place of Publication Editor
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN ISBN Medium
Area Expedition Conference Terahertz and Gigahertz Electronics and Photonics IV
Notes Approved no
Call Number Serial 378
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Author Huebers, H.-W.; Semenov, A.; Richter, H.; Birk, M.; Krocka, M.; Mair, U.; Smirnov, K.; Gol’tsman, G. N.; Voronov, B. M.
Title Superconducting hot electron bolometer as mixer for far-infrared heterodyne receivers Type Conference Article
Year 2003 Publication (up) Proc. SPIE Abbreviated Journal Proc. SPIE
Volume 4855 Issue Pages 395-401
Keywords NbN HEB mixers
Abstract Heterodyne receivers for applications in astronomy need quantum limited sensitivity. In instruments which are currently under development for SOFIA or Herschel superconducting hot electron bolometers (HEB) will be used to achieve this goal at frequencies above 1.4 THz. We present results of the development of a phonon-cooled NbN HEB mixer for GREAT, the German Receiver for Astronomy at Terahertz Frequencies, which will be flown aboard SOFIA. The mixer is a small superconducting bridge incorporated in a planar feed antenna and a hyperhemispherical lens. Mixers with logarithmic-spiral and double-slot feed antennas have been investigated with respect to their noise temperature, conversion loss, linearity and beam pattern. At 2.5 THz a double sideband noise temperature of 2200 K was achieved. The conversion loss was 17 dB. The response of the mixer was linear up to 400 K load temperature. The performance was verified by measuring an emission line of methanol at 2.5 THz. The measured linewidth is in good agreement with the linewidth deduced from pressure broadening measurements at millimeter wavelength. The results demonstrate that the NbN HEB is very well suited as a mixer for far-infrared heterodyne receivers.
Address
Corporate Author Thesis
Publisher SPIE Place of Publication Tucson, USA Editor Phillips, T. G.; Zmuidzinas, J.
Language Summary Language Original Title
Series Editor Series Title Presented at the Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Abbreviated Series Title
Series Volume 4855 Series Issue Edition
ISSN ISBN Medium
Area Expedition Conference Millimeter and Submillimeter Detectors for Astronomy
Notes Approved no
Call Number Serial 335
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Author Korneev, A.; Divochiy, A.; Marsili, F.; Bitauld, D.; Fiore, A.; Seleznev, V.; Kaurova, N.; Tarkhov, M.; Minaeva, O.; Chulkova, G.; Smirnov, K.; Gaggero, A.; Leoni, R.; Mattioli, F.; Lagoudakis, K.; Benkhaoul, M.; Levy, F.; Goltsman, G.
Title Superconducting photon number resolving counter for near infrared applications Type Conference Article
Year 2008 Publication (up) Proc. SPIE Abbreviated Journal Proc. SPIE
Volume 7138 Issue Pages 713828 (1 to 5)
Keywords PNR SSPD; SNSPD; Nanowire superconducting single-photon detector, ultrathin NbN film, infrared
Abstract We present a novel concept of photon number resolving detector based on 120-nm-wide superconducting stripes made of 4-nm-thick NbN film and connected in parallel (PNR-SSPD). The detector consisting of 5 strips demonstrate a capability to resolve up to 4 photons absorbed simultaneously with the single-photon quantum efficiency of 2.5% and negligibly low dark count rate.
Address
Corporate Author Thesis
Publisher Spie Place of Publication Editor Tománek, P.; Senderáková, D.; Hrabovský, M.
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN ISBN Medium
Area Expedition Conference
Notes Approved no
Call Number 10.1117/12.818079 Serial 1241
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Author Huebers, H.-W.; Schubert, J.; Semenov, A.; Gol’tsman, G. N.; Voronov, B. M.; Gershenzon, E. M.; Schwaab, G. W.
Title NbN phonon-cooled hot-electron bolometer as a mixer for THz heterodyne receivers Type Conference Article
Year 1999 Publication (up) Proc. SPIE Abbreviated Journal Proc. SPIE
Volume 3828 Issue Pages 410-416
Keywords NbN HEB mixers
Abstract We have investigated a phonon-cooled NbN hot electron bolometric (HEB) mixer in the frequency range from 0.7 THz to 5.2 THz. The device was a 3.5 nm thin film with an in- plane dimension of 1.7 X 0.2 micrometers 2 integrated in a complementary logarithmic spiral antenna. The measured DSB receiver noise temperatures are 1500 K, 2200 K, 2600 K, 2900 K, 4000 K, 5600 K and 8800 K. The sensitivity fluctuation, the long term stability, and the antenna pattern were measured and the suitability of the mixer for a practical heterodyne receiver is discussed.
Address
Corporate Author Thesis
Publisher Spie Place of Publication Editor Chamberlain, J.M.
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN ISBN Medium
Area Expedition Conference Terahertz Spectroscopy and Applications II
Notes Approved no
Call Number Serial 1477
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Author Korneev, A.; Minaeva, O.; Divochiy, A.; Antipov, A.; Kaurova, N.; Seleznev, V.; Voronov, B.; Gol’tsman, G.; Pan, D.; Kitaygorsky, J.; Slysz, W.; Sobolewski, R.
Title Ultrafast and high quantum efficiency large-area superconducting single-photon detectors Type Conference Article
Year 2007 Publication (up) Proc. SPIE Abbreviated Journal Proc. SPIE
Volume 6583 Issue Pages 65830I (1 to 9)
Keywords SSPD, SNSPD, superconducting NbN films, infrared single-photon detectors
Abstract We present our latest generation of superconducting single-photon detectors (SSPDs) patterned from 4-nm-thick NbN films, as meander-shaped  0.5-mm-long and  100-nm-wide stripes. The SSPDs exhibit excellent performance parameters in the visible-to-near-infrared radiation wavelengths: quantum efficiency (QE) of our best devices approaches a saturation level of  30% even at 4.2 K (limited by the NbN film optical absorption) and dark counts as low as 2x10-4 Hz. The presented SSPDs were designed to maintain the QE of large-active-area devices, but, unless our earlier SSPDs, hampered by a significant kinetic inductance and a nanosecond response time, they are characterized by a low inductance and GHz counting rates. We have designed, simulated, and tested the structures consisting of several, connected in parallel, meander sections, each having a resistor connected in series. Such new, multi-element geometry led to a significant decrease of the device kinetic inductance without the decrease of its active area and QE. The presented improvement in the SSPD performance makes our detectors most attractive for high-speed quantum communications and quantum cryptography applications.
Address
Corporate Author Thesis
Publisher Spie Place of Publication Editor Dusek, M.; Hillery, M.S.; Schleich, W.P.; Prochazka, I.; Migdall, A.L.; Pauchard, A.
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN ISBN Medium
Area Expedition Conference
Notes Approved no
Call Number Serial 1249
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Author Korneev, A.; Korneeva, Y.; Florya, I.; Voronov, B.; Goltsman, G.
Title Spectral sensitivity of narrow strip NbN superconducting single-photon detector Type Conference Article
Year 2011 Publication (up) Proc. SPIE Abbreviated Journal Proc. SPIE
Volume 8072 Issue Pages 80720G (1 to 9)
Keywords NbN SSPD, SNSPD
Abstract Superconducting single-photon detector (SSPD) is patterned from 4-nm-thick NbN film deposited on sapphire substrate as a 100-nm-wide strip. Due to its high detection efficiency, low dark counts, and picosecond timing jitter SSPD has become a competitor to the InGaAs avalanche photodiodes at 1550 nm and longer wavelengths. Although the SSPD is operated at liquid helium temperature its efficient single-mode fibre coupling enabled its usage in many applications ranging from single-photon sources research to quantum cryptography. In our strive to increase the detection efficiency at 1550 nm and longer wavelengths we developed and fabricated SSPD with the strip almost twice narrower compared to the standard 100 nm. To increase the voltage response of the device we utilized cascade switching mechanism: we connected 50-nm-wide and 10-μm-long strips in parallel covering the area of 10 μmx10 μm. Absorption of a photon breaks the superconductivity in a strip leading to the bias current redistribution between other strips followed their cascade switching. As the total current of all the strips about is 1 mA by the order of magnitude the response voltage of such an SSPD is several times higher compared to the traditional meander-shaped SSPDs. In middle infrared (about 3 μm wavelength) these devices have the detection efficiency several times higher compared to the traditional SSPDs.
Address
Corporate Author Thesis
Publisher SPIE Place of Publication Editor Fiurásek, J.; Prochazka, I.
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN ISBN Medium
Area Expedition Conference Photon Counting Applications, Quantum Optics, and Quantum Information Transfer and Processing III
Notes Approved no
Call Number Serial 1387
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Author Goltsman, G. N.
Title Ultrafast nanowire superconducting single-photon detector with photon number resolving capability Type Conference Article
Year 2009 Publication (up) Proc. SPIE Abbreviated Journal Proc. SPIE
Volume 7236 Issue Pages 72360D (1 to 11)
Keywords PNR NbN SSPD, SNSPD, superconducting single-photon detectors, photon number resolving detectors, ultrathin NbN films
Abstract In this paper we present a review of the state-of-the-art superconducting single-photon detector (SSPD), its characterization and applications. We also present here the next step in the development of SSPD, i.e. photon-number resolving SSPD which simultaneously features GHz counting rate. We have demonstrated resolution up to 4 photons with quantum efficiency of 2.5% and 300 ps response pulse duration providing very short dead time.
Address
Corporate Author Thesis
Publisher SPIE Place of Publication Editor Arakawa, Y.; Sasaki, M.; Sotobayashi, H.
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN ISBN Medium
Area Expedition Conference
Notes Approved no
Call Number Serial 1403
Permanent link to this record
 
 
Author Zhang, W.; Li, N.; Jiang, L.; Ren, Y.; Yao, Q.-J.; Lin, Z.-H.; Shi, S.-C.; Voronov, B. M.; Gol’tsman, G. N.
Title Dependence of noise temperature of quasi-optical superconducting hot-electron bolometer mixers on bath temperature and optical-axis displacement Type Conference Article
Year 2008 Publication (up) Proc. SPIE Abbreviated Journal Proc. SPIE
Volume 6840 Issue Pages 684007 (1 to 8)
Keywords NbN HEB mixers, noise temperature, LO power
Abstract It is known that the increase of bath temperature results in the decrease of critical current of superconducting hot-electron bolometer (HEB) mixers owing to the depression of superconductivity, thus leading to the degradation of the mixer’s sensitivity. Here we report our study on the effect of bath temperature on the heterodyne mixing performance of quasi-optical superconducting NbN HEB mixers incorporated with a two-arm log-spiral antenna. The correlation between the bath temperature, critical current, LO power requirement and noise temperature is investigated at 0.5 THz. Furthermore, the heterodyne mixing performance of quasi-optical superconducting NbN HEB mixers is examined while there is an optical-axis displacement between the center of the extended hemispherical silicon lens and the superconducting NbN HEB device, which is placed on the back of the lens. Detailed experimental results and analysis are presented.
Address
Corporate Author Thesis
Publisher Spie Place of Publication Editor Zhang, C.; Zhang, X.-C.
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN ISBN Medium
Area Expedition Conference Terahertz Photonics
Notes Approved no
Call Number Serial 1415
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Author Slysz, W.; Wegrzecki, M.; Bar, J.; Grabiec, P.; Gorska, M.; Rieger, E.; Dorenbos, P.; Zwiller, V.; Milostnaya, I.; Minaeva, O.; Antipov, A.; Okunev, O.; Korneev, A.; Smirnov, K.; Voronov, B.; Kaurova, N.; Gol’tsman, G.N.; Kitaygorsky, J.; Pan, D.; Pearlman, A.; Cross, A.; Komissarov, I.; Sobolewski, R.
Title Fiber-coupled NbN superconducting single-photon detectors for quantum correlation measurements Type Conference Article
Year 2007 Publication (up) Proc. SPIE Abbreviated Journal Proc. SPIE
Volume 6583 Issue Pages 65830J (1 to 11)
Keywords NbN SSPD, SNSPD, superconducting single-photon detectors, single-photon detectors, fiber-coupled optical detectors, quantum correlations, superconducting devices
Abstract We have fabricated fiber-coupled superconducting single-photon detectors (SSPDs), designed for quantum-correlationtype experiments. The SSPDs are nanostructured ( 100-nm wide and 4-nm thick) NbN superconducting meandering stripes, operated in the 2 to 4.2 K temperature range, and known for ultrafast and efficient detection of visible to nearinfrared photons with almost negligible dark counts. Our latest devices are pigtailed structures with coupling between the SSPD structure and a single-mode optical fiber achieved using a micromechanical photoresist ring placed directly over the meander. The above arrangement withstands repetitive thermal cycling between liquid helium and room temperature, and we can reach the coupling efficiency of up to  33%. The system quantum efficiency, measured as the ratio of the photons counted by SSPD to the total number of photons coupled into the fiber, in our early devices was found to be around 0.3 % and 1% for 1.55 &mgr;m and 0.9 &mgr;m photon wavelengths, respectively. The photon counting rate exceeded 250 MHz. The receiver with two SSPDs, each individually biased, was placed inside a transport, 60-liter liquid helium Dewar, assuring uninterrupted operation for over 2 months. Since the receiver’s optical and electrical connections are at room temperature, the set-up is suitable for any applications, where single-photon counting capability and fast count rates are desired. In our case, it was implemented for photon correlation experiments. The receiver response time, measured as a second-order photon cross-correlation function, was found to be below 400 ps, with timing jitter of less than 40 ps.
Address
Corporate Author Thesis
Publisher Spie Place of Publication Editor Dusek, M.; Hillery, M.S.; Schleich, W.P.; Prochazka, I.; Migdall, A.L.; Pauchard, A.
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN ISBN Medium
Area Expedition Conference Photon Counting Applications, Quantum Optics, and Quantum Cryptography
Notes Approved no
Call Number Serial 1431
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