1
|
Kanellopulos K, Ladinig F, Emminger S, Martini P, West RG, Schmid S. Comparative analysis of nanomechanical resonators: sensitivity, response time, and practical considerations in photothermal sensing. MICROSYSTEMS & NANOENGINEERING 2025; 11:28. [PMID: 39966358 PMCID: PMC11836225 DOI: 10.1038/s41378-025-00879-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/05/2024] [Revised: 11/10/2024] [Accepted: 01/15/2025] [Indexed: 02/20/2025]
Abstract
Nanomechanical photothermal sensing has significantly advanced single-molecule/particle microscopy and spectroscopy, and infrared detection. In this approach, the nanomechanical resonator detects shifts in resonant frequency due to photothermal heating. However, the relationship between photothermal sensitivity, response time, and resonator design has not been fully explored. This paper compares three resonator types - strings, drumheads, and trampolines - to explore this relationship. Through theoretical modeling, experimental validation, and finite element method simulations, we find that strings offer the highest sensitivity (with a noise equivalent power of 280 fW/Hz1/2 for strings made of silicon nitride), while drumheads exhibit the fastest thermal response. The study reveals that photothermal sensitivity correlates with the average temperature rise and not the peak temperature. Finally, the impact of photothermal back-action is discussed, which can be a major source of frequency instability. This work clarifies the performance differences and limits among resonator designs and guides the development of advanced nanomechanical photothermal sensors, benefiting a wide range of applications.
Collapse
Affiliation(s)
- Kostas Kanellopulos
- Institute of Sensor and Actuator Systems, TU Wien, Gusshausstrasse 27-29, Vienna, 1040, Austria
| | - Friedrich Ladinig
- Institute of Sensor and Actuator Systems, TU Wien, Gusshausstrasse 27-29, Vienna, 1040, Austria
| | - Stefan Emminger
- Institute of Sensor and Actuator Systems, TU Wien, Gusshausstrasse 27-29, Vienna, 1040, Austria
| | - Paolo Martini
- Institute of Sensor and Actuator Systems, TU Wien, Gusshausstrasse 27-29, Vienna, 1040, Austria
| | - Robert G West
- Institute of Sensor and Actuator Systems, TU Wien, Gusshausstrasse 27-29, Vienna, 1040, Austria
| | - Silvan Schmid
- Institute of Sensor and Actuator Systems, TU Wien, Gusshausstrasse 27-29, Vienna, 1040, Austria.
| |
Collapse
|
2
|
Redeckas K, Jakštas V, Bernatonis M, Tamošiūnas V, Valušis G, Minkevičius L. Enhanced Terahertz Sensing via On-Chip Integration of Diffractive Optics with InGaAs Bow-Tie Detectors. SENSORS (BASEL, SWITZERLAND) 2025; 25:229. [PMID: 39797020 PMCID: PMC11723477 DOI: 10.3390/s25010229] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/31/2024] [Revised: 11/29/2024] [Accepted: 12/07/2024] [Indexed: 01/13/2025]
Abstract
The practical implementation of terahertz (THz) imaging and spectroscopic systems in real operational conditions requires them to be of a compact size, to have enhanced functionality, and to be user-friendly. This work demonstrates the single-sided integration of Fresnel-zone-plate-based optical elements with InGaAs bow-tie diodes directly on a semiconductor chip. Numerical simulations were conducted to optimize the Fresnel zone plate's focal length and the InP substrate's thickness to achieve constructive interference at 600 GHz, room-temperature operation and achieve a sensitivity more than an order of magnitude higher-up to 24.5 V/W-than that of a standalone bow-tie detector. Investigations revealed the strong angular dependence of the incident radiation on the Fresnel zone plate-integrated bow-tie diode's response. These findings pave a promising avenue for the further development of single-sided integration of flat optics with THz detectors, enabling improved sensitivity, simplified manufacturing processes, and reduced costs for THz detection systems in a more compact design scheme.
Collapse
Affiliation(s)
- Karolis Redeckas
- Department of Optoelectronics, Center for Physical Sciences and Technology (FTMC), Saulėtekio Ave. 3, LT-10257 Vilnius, Lithuania
- Institute of Photonics and Nanotechnology, Vilnius University, Saulėtekio Ave. 3, LT-10257 Vilnius, Lithuania
| | - Vytautas Jakštas
- Department of Optoelectronics, Center for Physical Sciences and Technology (FTMC), Saulėtekio Ave. 3, LT-10257 Vilnius, Lithuania
| | - Matas Bernatonis
- Department of Optoelectronics, Center for Physical Sciences and Technology (FTMC), Saulėtekio Ave. 3, LT-10257 Vilnius, Lithuania
- Institute of Photonics and Nanotechnology, Vilnius University, Saulėtekio Ave. 3, LT-10257 Vilnius, Lithuania
| | - Vincas Tamošiūnas
- Department of Optoelectronics, Center for Physical Sciences and Technology (FTMC), Saulėtekio Ave. 3, LT-10257 Vilnius, Lithuania
- Institute of Photonics and Nanotechnology, Vilnius University, Saulėtekio Ave. 3, LT-10257 Vilnius, Lithuania
| | - Gintaras Valušis
- Department of Optoelectronics, Center for Physical Sciences and Technology (FTMC), Saulėtekio Ave. 3, LT-10257 Vilnius, Lithuania
- Institute of Photonics and Nanotechnology, Vilnius University, Saulėtekio Ave. 3, LT-10257 Vilnius, Lithuania
| | - Linas Minkevičius
- Department of Optoelectronics, Center for Physical Sciences and Technology (FTMC), Saulėtekio Ave. 3, LT-10257 Vilnius, Lithuania
- Institute of Photonics and Nanotechnology, Vilnius University, Saulėtekio Ave. 3, LT-10257 Vilnius, Lithuania
| |
Collapse
|
3
|
Gregorat L, Cautero M, Vicarelli L, Giuressi D, Bagolini A, Tredicucci A, Cautero G, Pitanti A. Highly dispersive multiplexed micromechanical device array for spatially resolved sensing and actuation. MICROSYSTEMS & NANOENGINEERING 2024; 10:179. [PMID: 39592578 PMCID: PMC11599719 DOI: 10.1038/s41378-024-00816-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/14/2024] [Revised: 07/23/2024] [Accepted: 08/21/2024] [Indexed: 11/28/2024]
Abstract
The powerful resource of parallelizing simple devices for realizing and enhancing complex operations comes with the drawback of multiple connections for addressing and controlling the individual elements. Here we report on a technological platform where several mechanical resonators can be individually probed and electrically actuated by using dispersive multiplexing within a single electrical channel. We demonstrate room temperature control of the individual device vibrational motion and spatially-resolved readouts. As the single elements have proven to be excellent bolometers and individual nodes for reservoir computing, our platform can be directly employed for single-channel addressing of multiple devices, with immediate applications for far-infrared cameras, spatial light modulators and recurrent neural networks operating at room temperature.
Collapse
Affiliation(s)
- Leonardo Gregorat
- Department of Engineering and Architecture, Università degli Studi di Trieste, Trieste, Italy.
| | - Marco Cautero
- Department of Engineering and Architecture, Università degli Studi di Trieste, Trieste, Italy
- Department of Physics, Università degli Studi di Trieste, Trieste, Italy
| | | | | | - Alvise Bagolini
- Center for Sensors and Devices, Fondazione Bruno Kessler, Trento, Italy
| | - Alessandro Tredicucci
- Department of Physics, Università di Pisa, Pisa, Italy
- NEST Lab, CNR - Istituto di Nanoscienze and Scuola Normale Superiore, Pisa, Italy
| | | | - Alessandro Pitanti
- Department of Physics, Università di Pisa, Pisa, Italy
- NEST Lab, CNR - Istituto di Nanoscienze and Scuola Normale Superiore, Pisa, Italy
| |
Collapse
|
4
|
Gregorat L, Cautero M, Pitanti A, Vicarelli L, La Mura M, Bagolini A, Sergo R, Carrato S, Cautero G. FPGA Readout for Frequency-Multiplexed Array of Micromechanical Resonators for Sub-Terahertz Imaging. SENSORS (BASEL, SWITZERLAND) 2024; 24:7276. [PMID: 39599054 PMCID: PMC11598244 DOI: 10.3390/s24227276] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/19/2024] [Revised: 11/06/2024] [Accepted: 11/12/2024] [Indexed: 11/29/2024]
Abstract
Field programmable gate arrays (FPGAs) have not only enhanced traditional sensing methods, such as pixel detection (CCD and CMOS), but also enabled the development of innovative approaches with significant potential for particle detection. This is particularly relevant in terahertz (THz) ray detection, where microbolometer-based focal plane arrays (FPAs) using microelectromechanical (MEMS) resonators are among the most promising solutions. Designing high-performance, high-pixel-density sensors is challenging without FPGAs, which are crucial for deterministic parallel processing, fast ADC/DAC control, and handling large data throughput. This paper presents a MEMS-resonator detector, fully managed via an FPGA, capable of controlling pixel excitation and tracking resonance-frequency shifts due to radiation using parallel digital lock-in amplifiers. The innovative FPGA architecture, based on a lock-in matrix, enhances the open-loop readout technique by a factor of 32. Measurements were performed on a frequency-multiplexed, 256-pixel sensor designed for imaging applications.
Collapse
Affiliation(s)
- Leonardo Gregorat
- Dipartimento di Ingegneria e Architettura, Università degli Studi di Trieste, Piazzale Europa 1, 34127 Trieste, Italy; (L.G.); (S.C.)
- Elettra-Sincrotrone Trieste S.C.p.A. Science Park, Strada Statale 14, km 163.5, 34149 Basovizza, Italy; (R.S.); (G.C.)
| | - Marco Cautero
- Elettra-Sincrotrone Trieste S.C.p.A. Science Park, Strada Statale 14, km 163.5, 34149 Basovizza, Italy; (R.S.); (G.C.)
- Dipartimento di Fisica, Università degli Studi di Trieste, Piazzale Europa 1, 34127 Trieste, Italy
| | - Alessandro Pitanti
- Dipartimento di Fisica, Università di Pisa, Largo B. Pontecorvo 3, 56127 Pisa, Italy; (A.P.); (L.V.)
- National Enterprises for nanoScience and nanoTechnology (NEST), CNR—Istituto Nanoscienze, Piazza San Silvestro 12, 56127 Pisa, Italy
| | - Leonardo Vicarelli
- Dipartimento di Fisica, Università di Pisa, Largo B. Pontecorvo 3, 56127 Pisa, Italy; (A.P.); (L.V.)
| | - Monica La Mura
- Dipartimento di Ingegneria Industriale, Elettronica e Meccanica, Università degli Studi Roma Tre, Via della Vasca Navale 84, 00146 Roma, Italy;
- Dipartimento di Ingegneria dell’Informazione ed Elettrica e Matematica Applicata, Università degli Studi di Salerno, 84084 Fisciano, Italy
| | - Alvise Bagolini
- Microsystems Technology (MST), Fondazione Bruno Kessler (FBK), Via S. Croce 77, 38122 Trento, Italy;
| | - Rudi Sergo
- Elettra-Sincrotrone Trieste S.C.p.A. Science Park, Strada Statale 14, km 163.5, 34149 Basovizza, Italy; (R.S.); (G.C.)
| | - Sergio Carrato
- Dipartimento di Ingegneria e Architettura, Università degli Studi di Trieste, Piazzale Europa 1, 34127 Trieste, Italy; (L.G.); (S.C.)
| | - Giuseppe Cautero
- Elettra-Sincrotrone Trieste S.C.p.A. Science Park, Strada Statale 14, km 163.5, 34149 Basovizza, Italy; (R.S.); (G.C.)
- Istituto Nazionale di Fisica Nucleare (INFN) Sezione di Trieste, Via Valerio 2, 34127 Trieste, Italy
| |
Collapse
|
5
|
Bielecki Z, Mikolajczyk J, Wojtas J. A Review of Thermal Detectors of THz Radiation Operated at Room Temperature. SENSORS (BASEL, SWITZERLAND) 2024; 24:6784. [PMID: 39517682 PMCID: PMC11548466 DOI: 10.3390/s24216784] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 08/02/2024] [Revised: 10/11/2024] [Accepted: 10/15/2024] [Indexed: 11/16/2024]
Abstract
This article concerns optical detection issues in the terahertz (THz) range. This is a kind of guide to various types of uncooled thermal detectors in the most often applications. Particular attention is paid to the principle of their operation, technology, and practical features. In addition, some detection methods were also characterized by comparing their performances. The article ends with a performance summary of the selected THz thermal detectors.
Collapse
Affiliation(s)
| | - Janusz Mikolajczyk
- Institute of Optoelectronics, Military University of Technology, S. Kaliskiego Str. 2, 00-908 Warsaw, Poland; (Z.B.); (J.W.)
| | | |
Collapse
|
6
|
Jorudas J, Rehman H, Cojocari M, Pashnev D, Urbanowicz A, Kašalynas I, Bertoni B, Vicarelli L, Pitanti A, Malykhin S, Svirko Y, Kuzhir P, Fedorov G. Ultra-broadband absorbance of nanometer-thin pyrolyzed-carbon film on silicon nitride membrane. NANOTECHNOLOGY 2024; 35:305705. [PMID: 38648779 DOI: 10.1088/1361-6528/ad4157] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/30/2023] [Accepted: 04/22/2024] [Indexed: 04/25/2024]
Abstract
Fifty percents absorption by thin film, with thickness is much smaller than the skin depth and optical thickness much smaller than the wavelength, is a well-known concept of classical electrodynamics. This is a valuable feature that has been numerously widely explored for metal films, while chemically inert nanomembranes are a real fabrication challenge. Here we report the 20 nm thin pyrolyzed carbon film (PyC) placed on 300 nm thick silicon nitride (Si3N4) membrane demonstrating an efficient broadband absorption in the terahertz and near infrared ranges. While the bare Si3N4membrane is completely transparent in the THz range, the 20 nm thick PyC layer increases the absorption of the PyC coated Si3N4membrane to 40%. The reflection and transmission spectra in the near infrared region reveal that the PyC film absorption persists to a level of at least 10% of the incident power. Such a broadband absorption of the PyC film opens new pathways toward broadband bolometric radiation detectors.
Collapse
Affiliation(s)
- Justinas Jorudas
- Department of Physics and Mathematics, Center of Photonics Research, University of Eastern Finland, Yliopistokatu 7, FI-80101 Joensuu, Finland
- Department of Optoelectronics, Center for Physical Sciences and Technology (FTMC), Saulėtekio av. 3, LT-10257 Vilnius, Lithuania
| | - Hamza Rehman
- Department of Physics and Mathematics, Center of Photonics Research, University of Eastern Finland, Yliopistokatu 7, FI-80101 Joensuu, Finland
| | - Maria Cojocari
- Department of Physics and Mathematics, Center of Photonics Research, University of Eastern Finland, Yliopistokatu 7, FI-80101 Joensuu, Finland
| | - Daniil Pashnev
- Department of Optoelectronics, Center for Physical Sciences and Technology (FTMC), Saulėtekio av. 3, LT-10257 Vilnius, Lithuania
| | - Andrzej Urbanowicz
- Department of Optoelectronics, Center for Physical Sciences and Technology (FTMC), Saulėtekio av. 3, LT-10257 Vilnius, Lithuania
- UAB 'TERAVIL', Savanoriu av. 235, LT-02300, Vilnius, Lithuania
| | - Irmantas Kašalynas
- Department of Optoelectronics, Center for Physical Sciences and Technology (FTMC), Saulėtekio av. 3, LT-10257 Vilnius, Lithuania
- Institute of Applied Electrodynamics and Telecommunications, Vilnius University, Saulėtekio al. 3, 10257 Vilnius, Lithuania
| | - Benedetta Bertoni
- Dipartimento di Fisica, Università di Pisa, largo Bruno Pontecorvo 3, I-56127 Pisa, Italy
| | - Leonardo Vicarelli
- Dipartimento di Fisica, Università di Pisa, largo Bruno Pontecorvo 3, I-56127 Pisa, Italy
| | - Alessandro Pitanti
- Dipartimento di Fisica, Università di Pisa, largo Bruno Pontecorvo 3, I-56127 Pisa, Italy
- NEST, CNR-Istituto Nanoscienze, piazza San Silvestro 12, I-56127 Pisa, Italy
| | - Sergei Malykhin
- Department of Physics and Mathematics, Center of Photonics Research, University of Eastern Finland, Yliopistokatu 7, FI-80101 Joensuu, Finland
| | - Yuri Svirko
- Department of Physics and Mathematics, Center of Photonics Research, University of Eastern Finland, Yliopistokatu 7, FI-80101 Joensuu, Finland
| | - Polina Kuzhir
- Department of Physics and Mathematics, Center of Photonics Research, University of Eastern Finland, Yliopistokatu 7, FI-80101 Joensuu, Finland
| | - Georgy Fedorov
- Department of Physics and Mathematics, Center of Photonics Research, University of Eastern Finland, Yliopistokatu 7, FI-80101 Joensuu, Finland
| |
Collapse
|
7
|
Bogatskaya AV, Klenov NV, Popov AM, Schegolev AE, Titovets PA, Tereshonok MV, Yakovlev DS. Multilayer Bolometric Structures for Efficient Wideband Communication Signal Reception. NANOMATERIALS (BASEL, SWITZERLAND) 2024; 14:141. [PMID: 38251106 PMCID: PMC10818736 DOI: 10.3390/nano14020141] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/08/2023] [Revised: 01/05/2024] [Accepted: 01/06/2024] [Indexed: 01/23/2024]
Abstract
It is known that the dielectric layer (resonator) located behind the conducting plate of the bolometer system can significantly increase its sensitivity near the resonance frequencies. In this paper, the possibility of receiving broadband electromagnetic signals in a multilayer bolometric meta-material made of alternating conducting (e.g., silicon semiconductor) and dielectric layers is demonstrated both experimentally and numerically. It is shown that such a multilayer structure acts as a lattice of resonators and can significantly increase the width of the frequency band of efficient electromagnetic energy absorption. The parameters of the dielectric and semiconductor layers determine the frequency bands. Numerical modeling of the effect has been carried out under the conditions of our experiment. The numerical results show acceptable qualitative agreement with the experimental data. This study develops the previously proposed technique of resonant absorption of electromagnetic signals in bolometric structures.
Collapse
Affiliation(s)
- Anna V. Bogatskaya
- Faculty of Physics, Lomonosov Moscow State University, 119991 Moscow, Russia; (A.V.B.); (N.V.K.); (A.M.P.)
- P. N. Lebedev Physical Institute, Russian Academy of Sciences, 119991 Moscow, Russia
| | - Nikolay V. Klenov
- Faculty of Physics, Lomonosov Moscow State University, 119991 Moscow, Russia; (A.V.B.); (N.V.K.); (A.M.P.)
- Superconducting Quantum Computing Lab, Russian Quantum Center, Skolkovo, 143025 Moscow, Russia
- D. V. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 119991 Moscow, Russia;
| | - Alexander M. Popov
- Faculty of Physics, Lomonosov Moscow State University, 119991 Moscow, Russia; (A.V.B.); (N.V.K.); (A.M.P.)
- P. N. Lebedev Physical Institute, Russian Academy of Sciences, 119991 Moscow, Russia
| | - Andrey E. Schegolev
- D. V. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 119991 Moscow, Russia;
- Science and Research Department, Moscow Technical University of Communication and Informatics, 111024 Moscow, Russia; (P.A.T.); (M.V.T.)
| | - Pavel A. Titovets
- Science and Research Department, Moscow Technical University of Communication and Informatics, 111024 Moscow, Russia; (P.A.T.); (M.V.T.)
| | - Maxim V. Tereshonok
- Science and Research Department, Moscow Technical University of Communication and Informatics, 111024 Moscow, Russia; (P.A.T.); (M.V.T.)
| | - Dmitry S. Yakovlev
- Laboratoire de Physique et d’Etude des Matériaux, ESPCI Paris, CNRS, PSL University, 75005 Paris, France
| |
Collapse
|
8
|
Li C, Zhang Y, Hirakawa K. Terahertz Detectors Using Microelectromechanical System Resonators. SENSORS (BASEL, SWITZERLAND) 2023; 23:5938. [PMID: 37447789 DOI: 10.3390/s23135938] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/01/2023] [Revised: 06/21/2023] [Accepted: 06/22/2023] [Indexed: 07/15/2023]
Abstract
The doubly clamped microelectromechanical system (MEMS) beam resonators exhibit extremely high sensitivity to tiny changes in the resonance frequency owing to their high quality (Q-) factors, even at room temperature. Such a sensitive frequency-shift scheme is very attractive for fast and highly sensitive terahertz (THz) detection. The MEMS resonator absorbs THz radiation and induces a temperature rise, leading to a shift in its resonance frequency. This frequency shift is proportional to the amount of THz radiation absorbed by the resonator and can be detected and quantified, thereby allowing the THz radiation to be measured. In this review, we present an overview of the THz bolometer based on the doubly clamped MEMS beam resonators in the aspects of working principle, readout, detection speed, sensitivity, and attempts at improving the performance. This allows one to have a comprehensive view of such a novel THz detector.
Collapse
Affiliation(s)
- Chao Li
- Institute of Engineering, Tokyo University of Agriculture and Technology, Koganei-shi 184-8588, Japan
| | - Ya Zhang
- Institute of Engineering, Tokyo University of Agriculture and Technology, Koganei-shi 184-8588, Japan
| | - Kazuhiko Hirakawa
- Institute of Industrial Science, University of Tokyo, Meguro-ku 153-8505, Japan
- Institute for Nano Quantum Information Electronics, University of Tokyo, Meguro-ku 153-8505, Japan
| |
Collapse
|
9
|
Bogatskaya AV, Klenov NV, Popov AM, Schegolev AE, Titovets PA, Tereshonok MV. Peculiarities of Resonant Absorption of Electromagnetic Signals in Multilayer Bolometric Sensors. SENSORS (BASEL, SWITZERLAND) 2023; 23:1549. [PMID: 36772589 PMCID: PMC9920303 DOI: 10.3390/s23031549] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/26/2022] [Revised: 01/19/2023] [Accepted: 01/30/2023] [Indexed: 06/18/2023]
Abstract
We examine the effect of resonant absorption of electromagnetic signals in a silicon semiconductor plasma layer when the dielectric plate is placed behind it both experimentally and numerically. It is shown that such plate acts as a dielectric resonator and can significantly increase the electromagnetic energy absorption in the semiconductor for certain frequencies determined by the dielectric plate parameters. Numerical modelling of the effect is performed under the conditions of conducted experiment. The numerical results are found to be in qualitative agreement with experimental ones. This study confirms the proposed earlier method of increasing the efficiency of bolometric-type detectors of electromagnetic radiation.
Collapse
Affiliation(s)
- Anna V. Bogatskaya
- Department of Physics, Lomonosov Moscow State University, 119991 Moscow, Russia
- P. N. Lebedev Physical Institute, Russian Academy of Sciences, 119991 Moscow, Russia
| | - Nikolay V. Klenov
- Department of Physics, Lomonosov Moscow State University, 119991 Moscow, Russia
| | - Alexander M. Popov
- Department of Physics, Lomonosov Moscow State University, 119991 Moscow, Russia
- P. N. Lebedev Physical Institute, Russian Academy of Sciences, 119991 Moscow, Russia
| | - Andrey E. Schegolev
- D. V. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 119991 Moscow, Russia
| | - Pavel A. Titovets
- Science and Research Department, Moscow Technical University of Communication and Informatics, 111024 Moscow, Russia
| | - Maxim V. Tereshonok
- Science and Research Department, Moscow Technical University of Communication and Informatics, 111024 Moscow, Russia
| |
Collapse
|