135 research outputs found
The poetic works of Sergey Yesenin in Germany: translations, editions, and research
The article was submitted on 21.01.2017.This article considers the perception of Sergey Yeseninβs creative work in Germany. Having become acquainted with his works in its own language as early as the 1920s, Germany played the leading role in incorporating Yesenin into Germanlanguage culture. This research is based on the rich history of translation reception (made up of over 300 texts by over 60 translators), criticism and literary studies, and publication history. The article focuses on topical issues of modern literary studies, such as the aesthetics of reception, the dialogue of cultures, comparative studies, and imagology. The perception of the poet reflects the development of Russo-German literary connections in the 20th and 21st centuries. It is possible to single out three stages in the translation reception of Yeseninβs works: acquaintance (1920s), popularisation (1950sβ1980s), and the modern period. During the third stage, the reader came closer to understanding the authentic concepts of Yeseninβs poetic semantics and techniques and a better knowledge of his creative work. The peculiarities of the publication history of the poetβs works are to a large extent determined by the above stages, as well as the cultural and historical factors caused by the division of Germany. German-language Yesenin studies are characterised by a vast scope, multiple research strategies, and prominent researchers (D. Chizhevsky, D. Gerhardt, F. Mierau, etc.). The receptive character of the perception determines the combination of literary and translation strategies, which are mutually complementary. Hence, it is quite appropriate to consider German Yesenin studies a separate branch of the world literary studies. The results of German scholarsβ work are of significant importance to the history of Russian literature. The final stage of the perception model is the creative perception of the image of the poet as part of oneβs native linguistic culture. Dedication poems devoted to Yesenin written by G. Vesper and H. Czechowski in the 1990s are proof of a contemporary German dialogue with the Russian poet.Π Π°ΡΡΠΌΠΎΡΡΠ΅Π½ΠΎ Π²ΠΎΡΠΏΡΠΈΡΡΠΈΠ΅ ΡΠ²ΠΎΡΡΠ΅ΡΡΠ²Π° Π‘Π΅ΡΠ³Π΅Ρ ΠΡΠ΅Π½ΠΈΠ½Π° Π² ΠΠ΅ΡΠΌΠ°Π½ΠΈΠΈ. ΠΠΎΠ·Π½Π°ΠΊΠΎΠΌΠΈΠ²ΡΠΈΡΡ Ρ Π΅Π³ΠΎ Π½Π°ΡΠ»Π΅Π΄ΠΈΠ΅ΠΌ Π½Π° ΡΠ²ΠΎΠ΅ΠΌ ΡΠΎΠ΄Π½ΠΎΠΌ ΡΠ·ΡΠΊΠ΅ ΡΠΆΠ΅ Π² 1920 Π³., ΠΠ΅ΡΠΌΠ°Π½ΠΈΡ ΡΠ²Π»ΡΠ΅ΡΡΡ Π»ΠΈΠ΄Π΅ΡΠΎΠΌ ΠΏΠΎ ΠΎΠ±ΡΠ΅ΠΌΡ ΠΈ ΠΌΠ°ΡΡΡΠ°Π±Ρ Π²ΠΊΠ»ΡΡΠ΅Π½ΠΈΡ ΠΡΠ΅Π½ΠΈΠ½Π° Π² Π½Π΅ΠΌΠ΅ΡΠΊΠΎΡΠ·ΡΡΠ½ΡΡ ΠΊΡΠ»ΡΡΡΡΡ. ΠΠΎΠ³Π°ΡΠ°Ρ ΠΈΡΡΠΎΡΠΈΡ ΠΏΠ΅ΡΠ΅Π²ΠΎΠ΄ΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅ΡΠ΅ΠΏΡΠΈΠΈ, ΠΊΠΎΡΠΎΡΡΡ ΡΠΎΡΡΠ°Π²Π»ΡΡΡ Π±ΠΎΠ»Π΅Π΅ 300 ΡΠ΅ΠΊΡΡΠΎΠ² ΠΈ ΡΠ²ΡΡΠ΅ 60 ΠΏΠ΅ΡΠ΅Π²ΠΎΠ΄ΡΠΈΠΊΠΎΠ², ΡΠ°ΠΌΠΎΡΡΠΎΡΡΠ΅Π»ΡΠ½ΠΎΡΡΡ ΠΊΡΠΈΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΈ Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΠΎΠ²Π΅Π΄ΡΠ΅ΡΠΊΠΈΡ
ΠΈΠ·ΡΡΠΊΠ°Π½ΠΈΠΉ, ΡΠ°Π·Π½ΠΎΠΎΠ±ΡΠ°Π·Π½Π°Ρ ΠΈ ΠΌΠ°ΡΡΡΠ°Π±Π½Π°Ρ ΡΠ΄ΠΈΡΠΈΠΎΠ½Π½Π°Ρ ΠΈΡΡΠΎΡΠΈΡ β Π²ΡΠ΅ ΡΡΠΎ ΡΠΎΡΡΠ°Π²Π»ΡΠ΅Ρ ΠΎΡΠ½ΠΎΠ²Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ. ΠΠ½ΡΠ΅ΡΠ΅Ρ ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΠΎΠ³ΠΎ Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΠΎΠ²Π΅Π΄Π΅Π½ΠΈΡ ΠΊ ΡΠ΅ΡΠ΅ΠΏΡΠΈΠ²Π½ΠΎΠΉ ΡΡΡΠ΅ΡΠΈΠΊΠ΅, Π΄ΠΈΠ°Π»ΠΎΠ³Ρ ΠΊΡΠ»ΡΡΡΡ, ΠΊΠΎΠΌΠΏΠ°ΡΠ°ΡΠΈΠ²ΠΈΡΡΠΈΠΊΠ΅ ΠΈ ΠΈΠΌΠ°Π³ΠΎΠ»ΠΎΠ³ΠΈΠΈ ΠΎΠ±ΡΡΠ»ΠΎΠ²Π»ΠΈΠ²Π°Π΅Ρ Π°ΠΊΡΡΠ°Π»ΡΠ½ΠΎΡΡΡ ΡΡΠ°ΡΡΠΈ. ΠΠΎΡΠΏΡΠΈΡΡΠΈΠ΅ ΠΏΠΎΡΡΠ° ΠΎΡΡΠ°ΠΆΠ°Π΅Ρ ΡΠ°Π·Π²ΠΈΡΠΈΠ΅ ΡΡΡΡΠΊΠΎ-Π½Π΅ΠΌΠ΅ΡΠΊΠΈΡ
Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΠ½ΡΡ
ΡΠ²ΡΠ·Π΅ΠΉ Π² Π₯Π₯βΠ₯Π₯I Π²Π². Π ΠΈΡΡΠΎΡΠΈΠΈ ΠΏΠ΅ΡΠ΅Π²ΠΎΠ΄ΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π²ΠΎΡΠΏΡΠΈΡΡΠΈΡ ΠΏΠΎΡΠ·ΠΈΠΈ ΠΡΠ΅Π½ΠΈΠ½Π° Π² ΠΠ΅ΡΠΌΠ°Π½ΠΈΠΈ Π²ΡΠ΄Π΅Π»ΡΠ΅ΡΡΡ ΡΡΠΈ ΠΏΠ΅ΡΠΈΠΎΠ΄Π°: Π·Π½Π°ΠΊΠΎΠΌΡΡΠ²ΠΎ (1920-Π΅ Π³Π³.), ΠΏΠΎΠΏΡΠ»ΡΡΠΈΠ·Π°ΡΠΈΡ ΡΠ²ΠΎΡΡΠ΅ΡΡΠ²Π° (1950β1980-Π΅ Π³Π³.), ΠΏΡΠΈΠ±Π»ΠΈΠΆΠ΅Π½ΠΈΠ΅ ΡΠΈΡΠ°ΡΠ΅Π»Ρ ΠΊ ΠΏΠΎΠ½ΠΈΠΌΠ°Π½ΠΈΡ Π°ΡΡΠ΅Π½ΡΠΈΡΠ½ΡΡ
ΠΊΠΎΠ½ΡΠ΅ΠΏΡΠΎΠ² ΠΏΠΎΡΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅ΠΌΠ°Π½ΡΠΈΠΊΠΈ ΠΈ ΡΡΠΈΡ
ΠΎΠ²ΠΎΠΉ ΡΠ΅Ρ
Π½ΠΈΠΊΠΈ ΠΡΠ΅Π½ΠΈΠ½Π°, ΠΊ Π±ΠΎΠ»Π΅Π΅ ΠΏΠΎΠ΄ΡΠΎΠ±Π½ΠΎΠΌΡ Π·Π½Π°ΠΊΠΎΠΌΡΡΠ²Ρ Ρ Π΅Π³ΠΎ ΠΆΠΈΠ·Π½Π΅ΡΠ²ΠΎΡΡΠ΅ΡΡΠ²ΠΎΠΌ (ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΡΠΉ ΠΏΠ΅ΡΠΈΠΎΠ΄). Π‘ΠΏΠ΅ΡΠΈΡΠΈΠΊΠ° ΡΠ΄ΠΈΡΠΈΠΎΠ½Π½ΠΎΠΉ ΠΈΡΡΠΎΡΠΈΠΈ Π²ΠΎ ΠΌΠ½ΠΎΠ³ΠΎΠΌ ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΠ΅ΡΡΡ Π΄Π°Π½Π½ΠΎΠΉ ΠΏΠ΅ΡΠΈΠΎΠ΄ΠΈΠ·Π°ΡΠΈΠ΅ΠΉ, Π° ΡΠ°ΠΊΠΆΠ΅ ΠΊΡΠ»ΡΡΡΡΠ½ΠΎ-ΠΈΡΡΠΎΡΠΈΡΠ΅ΡΠΊΠΈΠΌ ΡΠ°ΠΊΡΠΎΠΌ ΡΠ°Π·Π΄Π΅Π»Π΅Π½ΠΈΡ ΠΠ΅ΡΠΌΠ°Π½ΠΈΠΈ. ΠΠ΅ΠΌΠ΅ΡΠΊΠΎΡΠ·ΡΡΠ½ΠΎΠ΅ Π΅ΡΠ΅Π½ΠΈΠ½ΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠ΅ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΠ·ΡΠ΅ΡΡΡ Π±ΠΎΠ»ΡΡΠΈΠΌ ΠΎΡ
Π²Π°ΡΠΎΠΌ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»Π°, ΡΠ°Π·Π½ΠΎΠΎΠ±ΡΠ°Π·ΠΈΠ΅ΠΌ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΡΠΊΠΈΡ
ΠΏΠΎΠ΄Ρ
ΠΎΠ΄ΠΎΠ² ΠΈ Π·Π½Π°ΠΊΠΎΠ²ΠΎΡΡΡΡ ΠΈΠΌΠ΅Π½ ΠΈΡ
Π°Π²ΡΠΎΡΠΎΠ² (Π. Π§ΠΈΠΆΠ΅Π²ΡΠΊΠΈΠΉ, Π. ΠΠ΅ΡΡ
Π°ΡΠ΄Ρ, Π€. ΠΠΈΡΠ°Ρ ΠΈ Π΄Ρ.). Π Π΅ΡΠ΅ΠΏΡΠΈΠ²Π½ΡΠΉ Ρ
Π°ΡΠ°ΠΊΡΠ΅Ρ Π²ΠΎΡΠΏΡΠΈΡΡΠΈΡ ΠΎΠ±ΡΡΠ»ΠΎΠ²Π»ΠΈΠ²Π°Π΅Ρ ΡΠ»ΠΈΡΠ½ΠΈΠ΅ Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΠΎΠ²Π΅Π΄ΡΠ΅ΡΠΊΠΎΠΉ ΠΈ ΠΏΠ΅ΡΠ΅Π²ΠΎΠ΄ΡΠ΅ΡΠΊΠΎΠΉ ΠΏΡΠ°ΠΊΡΠΈΠΊΠΈ, ΠΊΠΎΡΠΎΡΡΠ΅ Π²Π·Π°ΠΈΠΌΠ½ΠΎ Π΄ΠΎΠΏΠΎΠ»Π½ΡΡΡ Π΄ΡΡΠ³ Π΄ΡΡΠ³Π°. ΠΡΠ°Π²ΠΎΠΌΠ΅ΡΠ½ΠΎ ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°ΡΡ Π½Π΅ΠΌΠ΅ΡΠΊΠΎΠ΅ Π΅ΡΠ΅Π½ΠΈΠ½ΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠ΅ Π² ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΡΠ°ΠΌΠΎΡΡΠΎΡΡΠ΅Π»ΡΠ½ΠΎΠΉ Π²Π΅ΡΠ²ΠΈ ΠΌΠΈΡΠΎΠ²ΠΎΠ³ΠΎ Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΠΎΠ²Π΅Π΄Π΅Π½ΠΈΡ. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ ΡΠ°Π±ΠΎΡΡ Π½Π΅ΠΌΠ΅ΡΠΊΠΈΡ
ΡΡΠ΅Π½ΡΡ
ΠΈΠΌΠ΅ΡΡ Π²ΡΡΠΎΠΊΠΎΠ΅ Π·Π½Π°ΡΠ΅Π½ΠΈΠ΅ Π΄Π»Ρ ΠΈΡΡΠΎΡΠΈΠΈ ΡΡΡΡΠΊΠΎΠΉ Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΡ. ΠΡΠΎΠ³ΠΎΠ²ΡΠΌ ΡΡΠ°ΠΏΠΎΠΌ Π² ΠΌΠΎΠ΄Π΅Π»ΠΈ Π²ΠΎΡΠΏΡΠΈΡΡΠΈΡ ΡΡΠ°Π½ΠΎΠ²ΠΈΡΡΡ ΡΠ²ΠΎΡΡΠ΅ΡΠΊΠΎΠ΅ ΡΡΠ²ΠΎΠ΅Π½ΠΈΠ΅ ΠΎΠ±ΡΠ°Π·Π° ΠΏΠΎΡΡΠ° Π² ΡΠ°ΠΌΠΊΠ°Ρ
ΡΠΎΠ΄Π½ΠΎΠΉ ΡΠ»ΠΎΠ²Π΅ΡΠ½ΠΎΡΡΠΈ. Π‘ΠΎΠ·Π΄Π°Π½Π½ΡΠ΅ Π² 1990-Ρ
Π³Π³. ΡΡΠΈΡ
ΠΎΡΠ²ΠΎΡΠ΅Π½ΠΈΡ-ΠΏΠΎΡΠ²ΡΡΠ΅Π½ΠΈΡ ΠΡΠ΅Π½ΠΈΠ½Ρ Π. ΠΠ΅ΡΠΏΠ΅ΡΠ° ΠΈ Π₯. Π§Π΅Ρ
ΠΎΠ²ΡΠΊΠΈ ΠΎΡΡΠ°ΠΆΠ°ΡΡ ΡΠ²ΠΎΡΡΠ΅ΡΠΊΠΈΠΉ Π΄ΠΈΠ°Π»ΠΎΠ³ ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΡΡ
Π½Π΅ΠΌΠ΅ΡΠΊΠΈΡ
Π°Π²ΡΠΎΡΠΎΠ² Ρ ΡΡΡΡΠΊΠΈΠΌ ΠΏΠΎΡΡΠΎΠΌ.Π‘ΡΠ°ΡΡΡ ΠΏΠΎΠ΄Π³ΠΎΡΠΎΠ²Π»Π΅Π½Π° ΠΏΡΠΈ ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠΊΠ΅ Π³ΡΠ°Π½ΡΠ° ΠΡΠ΅Π·ΠΈΠ΄Π΅Π½ΡΠ° Π Π€ Π΄Π»Ρ ΠΌΠΎΠ»ΠΎΠ΄ΡΡ
ΡΠΎΡΡΠΈΠΉΡΠΊΠΈΡ
ΡΡΠ΅Π½ΡΡ
β Π΄ΠΎΠΊΡΠΎΡΠΎΠ² Π½Π°ΡΠΊ (ΠΏΡΠΎΠ΅ΠΊΡ β ΠΠ-4756.2016.6)
Integrated optical ADC
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2008.Includes bibliographical references (p. [133]-137).An optically-sampled frequency-demultiplexed wideband analog-to-digital converter (ADC) which has potential to exceed the performance of electronic ADCs by orders of magnitude is studied analytically and numerically. The accuracy of the ADC as a function of its parameters is analyzed and impact of various imperfections of ADC components on its operation is evaluated. A universal error compensation algorithm for improving the conversion accuracy is proposed. On the way to implementation of the integrated optical ADC, two of its critical components - ring resonator filter bank and fiber-to-chip coupler -are designed. A novel coupler from a standard single mode fiber to a strongly confining silicon waveguide is proposed. The results of characterization of the filter bank and fiber-to-chip coupler fabricated on the silicon-on-insulator platform are presented and analyzed.by Anatol Khilo.S.M
Integrated photonic analog-to-digital converters
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2011.Cataloged from PDF version of thesis.Includes bibliographical references (p. 161-172).Accurate conversion of wideband multi-GHz analog signals into the digital domain has long been a target of analog-to-digital converter (ADC) developers, driven by applications in radar systems, software radio, medical imaging, and communication systems. Aperture jitter has been a major bottleneck on the way towards higher speeds and better accuracy. Photonic ADCs, which perform sampling using ultra-stable optical pulse trains generated by mode-locked lasers, have been investigated as a promising approach to overcome the jitter problem and bring ADC performance to new levels. This work demonstrates that the photonic approach can deliver on its promise by digitizing a 41 GHz signal with 7.0 effective bits and 52 dBc spur-free dynamic range (SFDR) using a discrete-component photonic ADC. This corresponds to 15 fs jitter, a 4-5 times improvement over the jitter of the best electronic ADCs, and an order of magnitude improvement over the jitter of electronic ADCs operating above 10 GHz. The feasibility of a practical photonic ADC is demonstrated by creating an integrated ADC with a modulator, filters, and photodetectors fabricated on a single silicon chip and using it to sample a 10 GHz signal with 3.5 effective bits and 39 dBc SFDR. In both experiments, a sample rate of 2.1 GSa/s was obtained by interleaving two 1.05 GSa/s channels; higher sample rates can be achieved by increasing the channel count. A key component of a multi-channel ADC - a dual multi-channel high-performance filter bank - is successfully implemented. A concept for broadband linearization of the silicon modulator, which is another critical component of the photonic ADC, is proposed. Nonlinear phenomena in silicon microring filters and their impact on ADC performance are analyzed, and methods to reduce this impact are proposed. The results presented in the thesis suggest that a practical integrated photonic ADC, which successfully overcomes the electronic jitter bottleneck, is possible today.by Anatol Khilo.Ph.D
ΠΠΠΠΠ€ΠΠ¦ΠΠ ΠΠΠΠΠΠΠ― Π‘Π₯ΠΠΠ ΠΠ’Π’Π ΠΠΠΠΠ£ΠΠΠΠΠΠ― ΠΠΠΠΠ Π₯ΠΠΠ‘Π’ΠΠ«Π₯ ΠΠΠΠΠΠΠΠΠ
Π new type of resonant excitation of surface plasmons is proposed and investigated which is characterized by the equalityΒ of the phase velocities and attenuation coefficients of the plasmons and an excitation field. It has been shown that this type ofΒ resonance can be realized by means of the modified Otto scheme. The peculiarity of this scheme is the presence in a transitionΒ layer of the periodic system of wedges allowing one to form an inclined evanescent wave. The calculation shows that theΒ modified scheme can provide a local power gain of two orders greater as compared with the standard Otto scheme.ΠΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½ ΠΈ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ Π½ΠΎΠ²ΡΠΉ ΡΠΈΠΏ ΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ½ΠΎΠ³ΠΎ Π²ΠΎΠ·Π±ΡΠΆΠ΄Π΅Π½ΠΈΡ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ½ΡΡ
ΠΏΠ»Π°Π·ΠΌΠΎΠ½ΠΎΠ², ΠΊΠΎΡΠΎΡΡΠΉ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΠ·ΡΠ΅ΡΡΡ ΡΠ°Π²Π΅Π½ΡΡΠ²ΠΎΠΌ ΡΠ°Π·ΠΎΠ²ΡΡ
ΡΠΊΠΎΡΠΎΡΡΠ΅ΠΉ ΠΈ ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½ΡΠΎΠ² Π·Π°ΡΡΡ
Π°Π½ΠΈΡ ΠΏΠ»Π°Π·ΠΌΠΎΠ½ΠΎΠ² ΠΈ Π²ΠΎΠ·Π±ΡΠΆΠ΄Π°ΡΡΠ΅Π³ΠΎ ΠΏΠΎΠ»Ρ. ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎΒ ΡΠ°ΠΊΠΎΠΉ ΡΠ΅Π·ΠΎΠ½Π°Π½Ρ ΠΌΠΎΠΆΠ΅Ρ Π±ΡΡΡ ΡΠ΅Π°Π»ΠΈΠ·ΠΎΠ²Π°Π½ Π² ΠΌΠΎΠ΄ΠΈΡΠΈΡΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠΉ ΡΡ
Π΅ΠΌΠ΅ ΠΡΡΠΎ, ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΡΡ ΠΊΠΎΡΠΎΡΠΎΠΉ ΡΠ²Π»ΡΠ΅ΡΡΡ Π½Π°Π»ΠΈΡΠΈΠ΅Β Π² ΠΏΠ΅ΡΠ΅Ρ
ΠΎΠ΄Π½ΠΎΠΌ ΡΠ»ΠΎΠ΅ ΠΏΠ΅ΡΠΈΠΎΠ΄ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ ΠΊΠ»ΠΈΠ½ΡΠ΅Π², ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡΠ΅ΠΉ ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°ΡΡ Π½Π°ΠΊΠ»ΠΎΠ½Π½ΡΡ ΡΠ²Π°Π½Π΅ΡΡΠ΅Π½ΡΠ½ΡΡ Π²ΠΎΠ»Π½Ρ.Β Π Π°ΡΡΠ΅Ρ ΡΡ
Π΅ΠΌΡ ΠΏΠΎΠΊΠ°Π·Π°Π», ΡΡΠΎ ΠΏΡΠ΅Π²ΡΡΠ΅Π½ΠΈΠ΅ ΡΡΠΈΠ»Π΅Π½ΠΈΡ Π² ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΠΌΠΎΠΉ ΡΡ
Π΅ΠΌΠ΅ Π² ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΈ ΡΠΎ ΡΡΠ°Π½Π΄Π°ΡΡΠ½ΠΎΠΉ ΡΡ
Π΅ΠΌΠΎΠΉ ΠΡΡΠΎΒ ΠΌΠΎΠΆΠ΅Ρ Π΄ΠΎΡΡΠΈΠ³Π°ΡΡ Π΄Π²ΡΡ
ΠΏΠΎΡΡΠ΄ΠΊΠΎΠ² ΠΈ Π²ΡΡΠ΅
Silicon slow-light-based photonic mixer for microwave-frequencyconversion applications
This paper was published in OPTICS LETTERS and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://dx.doi.org/10.1364/OL.37.001721. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law[EN] We describe and demonstrate experimentally a method for photonic mixing of microwave signals by using a silicon electro-optical MachΒΏZehnder modulator enhanced via slow-light propagation. Slow light with a group index of ~11, achieved in a one-dimensional periodic structure, is exploited to improve the upconversion performance of an input frequency signal from 1 to 10.25 GHz. A minimum transmission point is used to successfully demonstrate the upconversion with very low conversion losses of ~7ΒΏΒΏdB and excellent quality of the received I/Q modulated QPSK signal with an optimum EVM of ~8%.Financial support from FP7-224312 HELIOS project and Generalitat Valenciana under PROMETEO-2010-087 R&D Excellency Program (NANOMET) are acknowledged. F. Y.Gardes, D. J. Thomson, and G. T. Reed are supported by funding received from the UK EPSRC funding body under the grant βUK Silicon Photonics.β The author A. M. GutiΓ©rrez thanks D. Marpaung for his useful
help.GutiΓ©rrez Campo, AM.; Brimont, ACJ.; Herrera Llorente, J.; Aamer, M.; MartΓ Sendra, J.; Thomson, DJ.; Gardes, FY.... (2012). Silicon slow-light-based photonic mixer for microwave-frequencyconversion applications. Optics Letters. 37(10):1721-1723. https://doi.org/10.1364/OL.37.001721S17211723371
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ΠΠΠΠΠΠ§ΠΠ‘Π’ΠΠ’ΠΠΠ ΠΠΠ ΠΠ’ΠΠΠ ΠΠΠ£Π‘Π’ΠΠΠΠ’ΠΠ§ΠΠ‘ΠΠΠ Π ΠΠ‘Π‘ΠΠ―ΠΠΠ ΠΠΠ‘Π‘ΠΠΠΠΠ«Π₯ Π‘ΠΠΠ’ΠΠΠ«Π₯ ΠΠ£Π§ΠΠΠ
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ΠΊΡΠΈΡΡΠ°Π»Π»Π°Ρ
. Π Π°ΡΡΠΌΠΎΡΡΠ΅Π½Π° ΡΡ
Π΅ΠΌΠ° Π°ΠΊΡΡΡΠΎΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ (ΠΠ) Π²Π·Π°ΠΈΠΌΠΎΠ΄Π΅ΠΉΡΡΠ²ΠΈΡ, ΠΊΠΎΠ³Π΄Π° Π’Π-ΠΏΠΎΠ»ΡΡΠΈΠ·ΠΎΠ²Π°Π½Π½ΡΠΉ (ΠΈΠ»ΠΈ Π΅-ΠΏΠΎΠ»ΡΡΠΈΠ·ΠΎΠ²Π°Π½Π½ΡΠΉ) ΠΠ‘Π ΠΏΠ°Π΄Π°Π΅Ρ Π½Π° ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΈ ΠΎΠ΄Π½ΠΎΠΎΡΠ½ΡΠΉ ΠΊΡΠΈΡΡΠ°Π»Π» Π² Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½ΠΈΠΈ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΎΡΠΈ Ρ ΠΈ Π·Π° ΡΡΠ΅Ρ Π°Π½ΠΈΠ·ΠΎΡΡΠΎΠΏΠ½ΠΎΠΉ Π΄ΠΈΡΡΠ°ΠΊΡΠΈΠΈ Π’ΠβΠ’Π ΠΏΠ°Π΄Π°ΡΡΠΈΠΉ Π΅-ΠΠ‘Π Π²ΠΎΠ·Π±ΡΠΆΠ΄Π°Π΅Ρ Π² ΠΊΡΠΈΡΡΠ°Π»Π»Π΅ ΡΠ°ΡΡΠ΅ΡΠ½Π½ΡΠΉ ΠΎ-ΠΠ‘Π. ΠΠ°Π΄Π°ΡΠ° ΠΠ Π΄ΠΈΡΡΠ°ΠΊΡΠΈΠΈ ΡΠ΅ΡΠ°Π΅ΡΡΡ Π΄Π»Ρ ΠΏΠΎΠΏΠ΅ΡΠ΅ΡΠ½ΠΎ ΠΈΠ·ΠΎΡΡΠΎΠΏΠ½ΡΡ
ΠΊΡΠΈΡΡΠ°Π»Π»ΠΎΠ², ΡΠΈΠ»ΠΈΠ½Π΄ΡΠΈΡΠ΅ΡΠΊΠΈ ΡΠΈΠΌΠΌΠ΅ΡΡΠΈΡΠ½Π°Ρ Π³Π΅ΠΎΠΌΠ΅ΡΡΠΈΡ ΠΊΠΎΡΠΎΡΡΡ
ΠΏΠΎΠ»Π½ΠΎΡΡΡΡ ΡΠΎΠ³Π»Π°ΡΠΎΠ²Π°Π½Π° ΠΏΠΎ ΡΠΈΠΌΠΌΠ΅ΡΡΠΈΠΈ Ρ ΠΠ‘Π ΠΈ ΠΠΠ, ΡΠ°ΡΠΏΡΠΎΡΡΡΠ°Π½ΡΡΡΠΈΡ
ΡΡ Π²Π΄ΠΎΠ»Ρ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΎΡΠΈ, ΠΈ ΠΏΡΠΎΡΠ΅ΡΡ ΠΠ Π²Π·Π°ΠΈΠΌΠΎΠ΄Π΅ΠΉΡΡΠ²ΠΈΡ ΠΏΡΠΎΠΈΡΡ
ΠΎΠ΄ΠΈΡ Π±Π΅Π· ΠΈΡΠΊΠ°ΠΆΠ΅Π½ΠΈΡ ΠΏΡΠΎΡΡΡΠ°Π½ΡΡΠ²Π΅Π½Π½ΠΎΠΉ ΡΡΡΡΠΊΡΡΡΡ ΠΏΡΡΠΊΠΎΠ². ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎ Π² ΠΏΡΠΎΡΠ΅ΡΡΠ΅ ΠΎΠ±ΡΠ°ΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΡΡΠΎΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ°ΡΡΠ΅ΡΠ½ΠΈΡ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ Π±Π΅ΡΡΠ΅Π»Π΅Π²ΡΡ
ΡΠ²Π΅ΡΠΎΠ²ΡΡ
ΠΏΡΡΠΊΠΎΠ² Ρ Π±ΠΎΠ»ΡΡΠΈΠΌ ΡΠ³Π»ΠΎΠΌ ΠΊΠΎΠ½ΡΡΠ° ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ Π·Π½Π°ΡΠΈΡΠ΅Π»ΡΠ½ΠΎ ΡΠΌΠ΅Π½ΡΡΠΈΡΡ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΡΡ Π΄Π»Ρ Π²ΡΠΏΠΎΠ»Π½Π΅Π½ΠΈΡ ΡΡΠ»ΠΎΠ²ΠΈΡ ΠΏΡΠΎΠ΄ΠΎΠ»ΡΠ½ΠΎΠ³ΠΎ ΡΠΈΠ½Ρ
ΡΠΎΠ½ΠΈΠ·ΠΌΠ° ΡΠ°ΡΡΠΎΡΡ Π°ΠΊΡΡΡΠΈΡΠ΅ΡΠΊΠΎΠΉ Π²ΠΎΠ»Π½Ρ (Π΄ΠΎ Π·Π½Π°ΡΠ΅Π½ΠΈΠΉ ΠΌΠ΅Π½Π΅Π΅ 1 ΠΠΡ). Π£ΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΎ, ΡΡΠΎ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΡ ΠΠ Π²Π·Π°ΠΈΠΌΠΎΠ΄Π΅ΠΉΡΡΠ²ΠΈΡ ΠΠ‘Π ΠΈ ΠΠΠ ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΠ΅ΡΡΡ Π½Π΅ ΡΠΎΠ»ΡΠΊΠΎ ΠΈΠ½ΡΠ΅Π½ΡΠΈΠ²Π½ΠΎΡΡΡΡ Π°ΠΊΡΡΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΏΠΎΠ»Ρ, ΠΏΡΠΎΠ΄ΠΎΠ»ΡΠ½ΠΎΠΉ Π²ΠΎΠ»Π½ΠΎΠ²ΠΎΠΉ ΡΠ°ΡΡΡΡΠΎΠΉΠΊΠΎΠΉ ΠΈ Π΄Π»ΠΈΠ½ΠΎΠΉ Π²Π·Π°ΠΈΠΌΠΎΠ΄Π΅ΠΉΡΡΠ²ΠΈΡ, ΠΊΠ°ΠΊ Π² ΡΠ»ΡΡΠ°Π΅ ΠΏΠ»ΠΎΡΠΊΠΈΡ
Π²ΠΎΠ»Π½, Π½ΠΎ ΠΈ ΠΏΠΎΠΏΠ΅ΡΠ΅ΡΠ½ΠΎΠΉ ΡΡΡΡΠΊΡΡΡΠΎΠΉ Π±Π΅ΡΡΠ΅Π»Π΅Π²ΡΡ
ΠΏΡΡΠΊΠΎΠ². ΠΡΠ° ΡΡΡΡΠΊΡΡΡΠ° ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΠ΅Ρ Π²Π΅Π»ΠΈΡΠΈΠ½Ρ ΠΈΠ½ΡΠ΅Π³ΡΠ°Π»ΠΎΠ² ΠΏΠ΅ΡΠ΅ΠΊΡΡΡΠΈΡ ΠΈ, ΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎ, ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΡΠ΅ ΠΠ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡ. ΠΡΠΈ Π²ΡΠΏΠΎΠ»Π½Π΅Π½ΠΈΠΈ ΡΡΠ»ΠΎΠ²ΠΈΠΉ ΠΏΡΠΎΠ΄ΠΎΠ»ΡΠ½ΠΎΠ³ΠΎ ΠΈ ΠΏΠΎΠΏΠ΅ΡΠ΅ΡΠ½ΠΎΠ³ΠΎ ΡΠΈΠ½Ρ
ΡΠΎΠ½ΠΈΠ·ΠΌΠΎΠ² Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎ Π΄ΠΎΡΡΠΈΠΆΠ΅Π½ΠΈΠ΅ Π²ΡΡΠΎΠΊΠΎΠΉ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ Π΄ΠΈΡΡΠ°ΠΊΡΠΈΠΈ, Π±Π»ΠΈΠ·ΠΊΠΎΠΉ ΠΊ Π΅Π΄ΠΈΠ½ΠΈΡΠ΅, Π° ΡΠ³Π»ΠΎΠ²Π°Ρ ΡΠΈΡΠΈΠ½Π° ΠΎΡΠ½ΠΎΠ²Π½ΠΎΠ³ΠΎ ΠΌΠ°ΠΊΡΠΈΠΌΡΠΌΠ° ΡΠΎΡΡΠ°Π²Π»ΡΠ΅Ρ ΠΏΡΠΈ ΡΡΠΎΠΌ Π²Π΅Π»ΠΈΡΠΈΠ½Ρ ~0,5 ΠΌΡΠ°Π΄ ΠΈ Π²ΠΎΠ·ΡΠ°ΡΡΠ°Π΅Ρ ΠΏΡΠΈ ΡΠ²Π΅Π»ΠΈΡΠ΅Π½ΠΈΠΈ Π°ΠΊΡΡΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠΎΡΠ½ΠΎΡΡΠΈ. Π£ΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΎ, ΡΡΠΎ ΠΏΡΠΈ Π΄ΠΈΡΡΠ°ΠΊΡΠΈΠΈ ΠΠ‘Π ΠΏΡΠΎΠΈΡΡ
ΠΎΠ΄ΠΈΡ ΡΡΠ°Π½ΡΡΠΎΡΠΌΠ°ΡΠΈΡ ΠΏΠΎΡΡΠ΄ΠΊΠ° Π΅Π³ΠΎ ΡΠ°Π·ΠΎΠ²ΠΎΠΉ Π΄ΠΈΡΠ»ΠΎΠΊΠ°ΡΠΈΠΈ Π½Π° Π²Π΅Π»ΠΈΡΠΈΠ½Ρ, ΡΠ°Π²Π½ΡΡ ΠΏΠΎΡΡΠ΄ΠΊΡ ΡΠ°Π·ΠΎΠ²ΠΎΠΉ Π΄ΠΈΡΠ»ΠΎΠΊΠ°ΡΠΈΠΈ ΠΠΠ. ΠΠ·-Π·Π° ΠΌΠ°Π»ΠΎΠΉ ΡΠΈΡΠΈΠ½Ρ ΡΠ³Π»ΠΎΠ²ΠΎΠ³ΠΎ ΡΠΏΠ΅ΠΊΡΡΠ° ΡΠ°ΡΡΠ΅ΡΠ½Π½ΠΎΠ³ΠΎ ΠΠ‘Π ΠΎΠ±ΡΠ°ΡΠ½ΠΎΠ΅ Π°ΠΊΡΡΡΠΎΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΡΠ°ΡΡΠ΅ΡΠ½ΠΈΠ΅ Π±Π΅ΡΡΠ΅Π»Π΅Π²ΡΡ
ΡΠ²Π΅ΡΠΎΠ²ΡΡ
ΠΏΡΡΠΊΠΎΠ² ΠΏΠ΅ΡΡΠΏΠ΅ΠΊΡΠΈΠ²Π½ΠΎ Π΄Π»Ρ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΠΈ Π½ΠΈΠ·ΠΊΠΎΡΠ°ΡΡΠΎΡΠ½ΡΡ
Π°ΠΊΡΡΡΠΎΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΈΠ»ΡΡΡΠΎΠ² ΠΈ ΡΠΏΠ΅ΠΊΡΡΠΎΠ°Π½Π°Π»ΠΈΠ·Π°ΡΠΎΡΠΎΠ², Π° ΡΠ²ΠΎΠΉΡΡΠ²ΠΎ ΡΠ°ΠΌΠΎΡΠ΅ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠΈ ΠΏΠΎΠΏΠ΅ΡΠ΅ΡΠ½ΠΎΠΉ ΡΡΡΡΠΊΡΡΡΡ ΠΏΠ΅ΡΡΠΏΠ΅ΠΊΡΠΈΠ²Π½ΠΎ Π΄Π»Ρ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠΉ Π±Π΅ΡΡΠ΅Π»Π΅Π²ΡΡ
ΠΏΡΡΠΊΠΎΠ² Π² Π΄Π΅ΡΠ΅ΠΊΡΠΎΡΠΊΠΎΠΏΠΈΠΈ.Β
ΠΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΠΈ Π°ΠΊΡΡΡΠΎΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π²Π·Π°ΠΈΠΌΠΎΠ΄Π΅ΠΉΡΡΠ²ΠΈΡ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΈΡ ΠΈ Π°ΠΊΡΡΡΠΈΡΠ΅ΡΠΊΠΈΡ Π±Π΅ΡΡΠ΅Π»Π΅Π²ΡΡ ΠΏΡΡΠΊΠΎΠ² Π² ΠΏΠΎΠΏΠ΅ΡΠ΅ΡΠ½ΠΎ ΠΈΠ·ΠΎΡΡΠΎΠΏΠ½ΡΡ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΈ ΠΏΠΎΠ»ΠΎΠΆΠΈΡΠ΅Π»ΡΠ½ΡΡ ΠΊΡΠΈΡΡΠ°Π»Π»Π°Ρ
Some basic properties of acousto-optical (AO) diffraction involving Bessel light and acoustic beams in anisotropic crystals are investigated. Hexagonal symmetry crystals are considered and are optically uniaxial and positive and acoustically transversely isotropic. It is shown that, unlike the case of AO diffraction of plane waves, the transition to Bessel beams allows one to realize a number of new diffraction channels having specific configurations of the wave vectors of interacting waves while maintaining the axial symmetry of the optical scheme as a whole. The diffraction channels for anisotropic scattering are classified and the main parameters of the scattered Bessel light beam and the parameters of the Bessel acoustic beam are calculated for each of them. The possibility of implementing the isotropic-type diffraction was revealed, which makes it possible to increase the efficiency of AO conversion. The parameters of this-type diffraction are determined for two scattering channels, namely, for scattering by a direct Bessel acoustic beam and by a backward propagating acoustic beam.Due to the appearance of a set of scattering channels and with regard to the fact that Bessel light and acoustic beams have helical wave front dislocations, as well as suppressed diffraction spreading, the study of the features of AO diffraction of such beams in optically positive crystals has both a scientific and practical interest.Β ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Ρ ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΠΈ Π°ΠΊΡΡΡΠΎΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠΉ (ΠΠ) Π΄ΠΈΡΡΠ°ΠΊΡΠΈΠΈ Ρ ΡΡΠ°ΡΡΠΈΠ΅ΠΌ Π±Π΅ΡΡΠ΅Π»Π΅Π²ΡΡ
ΡΠ²Π΅ΡΠΎΠ²ΠΎΠ³ΠΎ ΠΈ Π°ΠΊΡΡΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΏΡΡΠΊΠΎΠ² Π² Π°Π½ΠΈΠ·ΠΎΡΡΠΎΠΏΠ½ΡΡ
ΠΊΡΠΈΡΡΠ°Π»Π»Π°Ρ
. Π Π°ΡΡΠΌΠΎΡΡΠ΅Π½Ρ ΠΊΡΠΈΡΡΠ°Π»Π»Ρ Π³Π΅ΠΊΡΠ°Π³ΠΎΠ½Π°Π»ΡΠ½ΠΎΠΉ ΡΠΈΠΌΠΌΠ΅ΡΡΠΈΠΈ, ΠΊΠΎΡΠΎΡΡΠ΅ ΡΠ²Π»ΡΡΡΡΡ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΈ ΠΏΠΎΠ»ΠΎΠΆΠΈΡΠ΅Π»ΡΠ½ΡΠΌΠΈ, Π° Π°ΠΊΡΡΡΠΈΡΠ΅ΡΠΊΠΈ β ΠΏΠΎΠΏΠ΅ΡΠ΅ΡΠ½ΠΎ ΠΈΠ·ΠΎΡΡΠΎΠΏΠ½ΡΠΌΠΈ. ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎ Π² ΠΎΡΠ»ΠΈΡΠΈΠ΅ ΠΎΡ ΡΠ»ΡΡΠ°Ρ ΠΠ Π΄ΠΈΡΡΠ°ΠΊΡΠΈΠΈ ΠΏΠ»ΠΎΡΠΊΠΈΡ
Π²ΠΎΠ»Π½, ΠΏΠ΅ΡΠ΅Ρ
ΠΎΠ΄ ΠΊ Π±Π΅ΡΡΠ΅Π»Π΅Π²ΡΠΌ ΠΏΡΡΠΊΠ°ΠΌ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ ΡΠ΅Π°Π»ΠΈΠ·ΠΎΠ²Π°ΡΡ ΡΡΠ΄ Π½ΠΎΠ²ΡΡ
ΠΊΠ°Π½Π°Π»ΠΎΠ² Π΄ΠΈΡΡΠ°ΠΊΡΠΈΠΈ, ΠΈΠΌΠ΅ΡΡΠΈΡ
ΡΠΏΠ΅ΡΠΈΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΊΠΎΠ½ΡΠΈΠ³ΡΡΠ°ΡΠΈΠΈ Π²ΠΎΠ»Π½ΠΎΠ²ΡΡ
Π²Π΅ΠΊΡΠΎΡΠΎΠ² Π²Π·Π°ΠΈΠΌΠΎΠ΄Π΅ΠΉΡΡΠ²ΡΡΡΠΈΡ
Π²ΠΎΠ»Π½ ΠΏΡΠΈ ΡΠΎΡ
ΡΠ°Π½Π΅Π½ΠΈΠΈ Π°ΠΊΡΠΈΠ°Π»ΡΠ½ΠΎΠΉ ΡΠΈΠΌΠΌΠ΅ΡΡΠΈΠΈ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΡ
Π΅ΠΌΡ Π² ΡΠ΅Π»ΠΎΠΌ. ΠΡΠΎΠ²Π΅Π΄Π΅Π½Π° ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΡ ΠΊΠ°Π½Π°Π»ΠΎΠ² Π΄ΠΈΡΡΠ°ΠΊΡΠΈΠΈ Π΄Π»Ρ Π°Π½ΠΈΠ·ΠΎΡΡΠΎΠΏΠ½ΠΎΠ³ΠΎ ΡΠ°ΡΡΠ΅ΡΠ½ΠΈΡ ΠΈ Π΄Π»Ρ Π½ΠΈΡ
ΡΠ°ΡΡΡΠΈΡΠ°Π½Ρ ΠΎΡΠ½ΠΎΠ²Π½ΡΠ΅ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡ ΡΠ°ΡΡΠ΅ΡΠ½Π½ΠΎΠ³ΠΎ Π±Π΅ΡΡΠ΅Π»Π΅Π²Π° ΡΠ²Π΅ΡΠΎΠ²ΠΎΠ³ΠΎ ΠΏΡΡΠΊΠ° ΠΈ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡ Π±Π΅ΡΡΠ΅Π»Π΅Π²Π° Π°ΠΊΡΡΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΏΡΡΠΊΠ°. ΠΠ±Π½Π°ΡΡΠΆΠ΅Π½Π° Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΠΈΠ·ΠΎΡΡΠΎΠΏΠ½ΠΎΠ³ΠΎ ΡΠΈΠΏΠ° Π΄ΠΈΡΡΠ°ΠΊΡΠΈΠΈ, ΡΡΠΎ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ ΠΏΠΎΠ²ΡΡΠΈΡΡ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΡ ΠΠ ΠΏΡΠ΅ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ. ΠΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Ρ Π΅Π³ΠΎ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠΈ Π΄Π»Ρ Π΄Π²ΡΡ
ΠΊΠ°Π½Π°Π»ΠΎΠ² ΡΠ°ΡΡΠ΅ΡΠ½ΠΈΡ, Π° ΠΈΠΌΠ΅Π½Π½ΠΎ, ΡΠ°ΡΡΠ΅ΡΠ½ΠΈΡ Π½Π° ΠΏΠΎΠΏΡΡΠ½ΠΎΠΌ Π±Π΅ΡΡΠ΅Π»Π΅Π²ΠΎΠΌ Π°ΠΊΡΡΡΠΈΡΠ΅ΡΠΊΠΎΠΌ ΠΏΡΡΠΊΠ΅ ΠΈ Π½Π° ΠΎΠ±ΡΠ°ΡΠ½ΠΎΠΌ.ΠΠ·-Π·Π° ΠΌΠ½ΠΎΠ³ΠΎΠΎΠ±ΡΠ°Π·ΠΈΡ ΠΊΠ°Π½Π°Π»ΠΎΠ² ΡΠ°ΡΡΠ΅ΡΠ½ΠΈΡ, Π° ΡΠ°ΠΊΠΆΠ΅ Ρ ΡΡΠ΅ΡΠΎΠΌ ΡΠΎΠ³ΠΎ, ΡΡΠΎ Π±Π΅ΡΡΠ΅Π»Π΅Π²Ρ ΡΠ²Π΅ΡΠΎΠ²ΠΎΠΉ ΠΈ Π°ΠΊΡΡΡΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΏΡΡΠΊΠΈ ΠΎΠ±Π»Π°Π΄Π°ΡΡ Π²ΠΈΠ½ΡΠΎΠ²ΡΠΌΠΈ Π΄ΠΈΡΠ»ΠΎΠΊΠ°ΡΠΈΡΠΌΠΈ Π²ΠΎΠ»Π½ΠΎΠ²ΠΎΠ³ΠΎ ΡΡΠΎΠ½ΡΠ°, Π° ΡΠ°ΠΊΠΆΠ΅ ΠΏΠΎΠ΄Π°Π²Π»Π΅Π½Π½ΡΠΌ Π΄ΠΈΡΡΠ°ΠΊΡΠΈΠΎΠ½Π½ΡΠΌ ΡΠ°ΡΠΏΠ»ΡΠ²Π°Π½ΠΈΠ΅ΠΌ, ΠΈΠ·ΡΡΠ΅Π½ΠΈΠ΅ ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΠ΅ΠΉ ΠΠ Π΄ΠΈΡΡΠ°ΠΊΡΠΈΠΈ ΡΠ°ΠΊΠΈΡ
ΠΏΡΡΠΊΠΎΠ² Π² ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΈ ΠΏΠΎΠ»ΠΎΠΆΠΈΡΠ΅Π»ΡΠ½ΡΡ
ΠΊΡΠΈΡΡΠ°Π»Π»Π°Ρ
ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»ΡΠ΅Ρ ΠΊΠ°ΠΊ Π½Π°ΡΡΠ½ΡΠΉ, ΡΠ°ΠΊ ΠΈ ΠΏΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΈΠ½ΡΠ΅ΡΠ΅Ρ.
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