<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">ntv</journal-id><journal-title-group><journal-title xml:lang="ru">Научно-технический вестник информационных технологий, механики и оптики</journal-title><trans-title-group xml:lang="en"><trans-title>Scientific and Technical Journal of Information Technologies, Mechanics and Optics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-1494</issn><issn pub-type="epub">2500-0373</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2226-1494-2022-22-2-223-231</article-id><article-id custom-type="elpub" pub-id-type="custom">ntv-129</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ОПТИЧЕСКИЕ СИСТЕМЫ И ТЕХНОЛОГИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>OPTICAL ENGINEERING</subject></subj-group></article-categories><title-group><article-title>Исследование влияния ограничений динамического диапазона волоконно-оптической буксируемой сейсмической косы на качество регистрируемых сейсмограмм</article-title><trans-title-group xml:lang="en"><trans-title>Investigation of the dynamic range restrictions influence of the fiber-optic towed seismic streamer on the seismogram quality</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4869-2838</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Аржаненкова</surname><given-names>А. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Arzhanenkova</surname><given-names>A. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p> Аржаненкова Алина Николаевна — аспирант </p><p> Санкт-Петербург, 197101 </p></bio><bio xml:lang="en"><p> Alina N. Arzhanenkova — PhD Student </p><p> Saint Petersburg, 197101 </p></bio><email xlink:type="simple">11arzh11@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2506-0379</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Плотников</surname><given-names>М. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Plotnikov</surname><given-names>M. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Плотников Михаил Юрьевич — кандидат технических наук, старший научный сотрудник </p><p> Санкт-Петербург, 197101 </p><p> sc 57193069973 </p></bio><bio xml:lang="en"><p> Michael Yu. Plotnikov — PhD, Senior Researcher </p><p> Saint Petersburg, 197101 </p><p> sc 57193069973 </p></bio><email xlink:type="simple">plotnikov-michael@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4265-8818</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мирошниченко</surname><given-names>Г. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Miroshnichenko</surname><given-names>G. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Мирошниченко Георгий Петрович — доктор физико-математических наук, профессор, профессор </p><p> Санкт-Петербург, 197101 </p><p> sc 55401299600 </p></bio><bio xml:lang="en"><p>George P. Miroshnichenko — D.Sc. (Physics &amp; Mathematics), Full Professor </p><p> Saint Petersburg, 197101 </p><p> sc 55401299600 </p></bio><email xlink:type="simple">gpmirosh@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9250-4286</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Дмитращенко</surname><given-names>П. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Dmitraschenko</surname><given-names>P. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Дмитращенко Павел Юрьевич — кандидат технических наук, старший научный сотрудник </p><p> Санкт-Петербург, 197101 </p></bio><bio xml:lang="en"><p> Pavel Yu. Dmitraschenko — PhD, Senior Researcher </p><p> Saint Petersburg, 197101 </p></bio><email xlink:type="simple">pdmitrashchenko@itmo.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Университет ИТМО</institution><country>Россия</country></aff><aff xml:lang="en"><institution>ITMO University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>13</day><month>12</month><year>2024</year></pub-date><volume>22</volume><issue>2</issue><fpage>223</fpage><lpage>231</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Аржаненкова А.Н., Плотников М.Ю., Мирошниченко Г.П., Дмитращенко П.Ю., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Аржаненкова А.Н., Плотников М.Ю., Мирошниченко Г.П., Дмитращенко П.Ю.</copyright-holder><copyright-holder xml:lang="en">Arzhanenkova A.N., Plotnikov M.Y., Miroshnichenko G.P., Dmitraschenko P.Y.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://ntv.elpub.ru/jour/article/view/129">https://ntv.elpub.ru/jour/article/view/129</self-uri><abstract><p>Предмет исследования. Представлены результаты оценки влияния ограничений динамического диапазона схемы обработки сигналов волоконно-оптической буксируемой сейсмической косы на качество получаемых сейсмограмм. В отличие от существующих гидроакустических систем на пьезокерамических преобразователях, ограничения динамического диапазона в волоконно-оптической буксируемой косе приводят не к клипированию акустических сигналов, а к сложным нелинейным искажениям. Такие искажения оказывают влияние как на амплитудно-частотные, так и на фазочастотные характеристики регистрируемых сигналов. Основной задачей представленной работы является оценка искажений сейсмограмм, получаемых из акустических сигналов, регистрируемых в условиях ограничения динамического диапазона волоконно-оптической буксируемой сейсмической косы. Метод. Для решения поставленной задачи использованы сейсмические сигналы, полученные во время натурных испытаний различных типов сейсмических кос в акватории Кольского залива. Акустические сигналы, зарегистрированные в виде цифровых отсчетов, пересчитаны в радианы с учетом известного коэффициента чувствительности гидрофонов буксируемой сейсмической косы и преобразованы в цифровые отчеты оптических интерференционных сигналов. Интерференционные сигналы в цифровом виде эквивалентны реальным оптическим сигналам, регистрируемым приемным трактом в блоке обработки сигналов волоконно-оптической косы. Цифровая форма зарегистрированных акустических сигналов позволяет усилить их за счет умножения на заданный коэффициент усиления, имитируя различные уровни энергии акустического источника. Полученные сигналы обработаны с применением специальной математической модели, с учетом фундаментального ограничения динамического диапазона. Эти ограничения обусловлены конечной частотой дискретизации интерференционного сигнала, фиксированной частотой вспомогательной фазовой модуляции и конечной полосой пропускания используемых фильтров низких частот. Выполнено моделирование процесса регистрации акустических сигналов волоконно-оптической буксируемой сейсмической косой без искажений и в условиях ограничения динамического диапазона. Сигналы с выхода модели использованы для построения сейсмограмм одного и того же участка шельфа с разными уровнями акустического усиления с применением метода отраженных волн. Основные результаты. Полученные результаты показали, что ограничения динамического диапазона схемы обработки сигналов волоконно-оптической буксируемой сейсмической косы оказывают существенное влияние на качество сейсмограмм. Происходит снижение детализации сигналов, а также уменьшение более чем в 5 раз амплитуды регистрируемых волн. Показано, что значительно снижается качество сейсмограмм в областях резкого перехода между слоями с различной плотностью, дающими наиболее отчетливые и сильные отраженные сейсмические колебания. Практическая значимость. Полученные результаты позволяют оценить влияние сложных нелинейных искажений акустических сигналов на получаемые сейсмограммы в условиях ограничения динамического диапазона схемы обработки сигналов. Актуальность работы обусловлена отсутствием мировых аналогов разрабатываемой волоконно-оптической буксируемой сейсмической косы. Построенная модель тракта обработки сигналов позволяет по известной чувствительности волоконно-оптических гидрофонов косы выбирать оптимальную энергию акустического источника для проведения сейсмической разведки с максимально эффективным использованием динамического диапазона волоконно-оптической косы.</p></abstract><trans-abstract xml:lang="en"><p>In this paper, we presented results of influence of the dynamic range in fiber-optic streamer signal processing circuit on the quality of recorded seismograms. By contrast with the existing hydroacoustic systems, which based on piezoceramic transducers, dynamic range limitations in a fiber-optic towed streamer do not lead to clipping of acoustic signals, but to complex nonlinear distortions that affect both the amplitude and phase frequency characteristics of the recorded signals. Therefore, main task of this work is to assess the distortion of seismograms obtained from acoustic signals recorded under limited dynamic range conditions of fiber-optic towed seismic streamer. To solve this problem, seismic signals obtained during field tests for various types of seismic streamers in the water area of Kola Bay are used. The recorded acoustic signals in the form of digital readings, converted into radians, taking into account the known sensitivity coefficient of hydrophones of the towed seismic streamer, are converted into digital reports of optical interference signals. Interference signals in digital form are equivalent to real optical signals recorded by the receiving path in the signal processing unit of the fiber optic streamer. The digital form of the recorded acoustic signals makes it possible to amplify them by multiplying them by a given gain factor, simulating various energy levels of an acoustic source. Further, these signals served as input data in the mathematical model of the signal processing circuit of the fiber-optic towed streamer, which takes into account the fundamental limitations of the dynamic range due to the finite sampling frequency of the interference signal, the fixed frequency of the auxiliary phase modulation, and the finite bandwidth of the low-pass filters used. Thus, it is possible to simulate the process of recording acoustic signals of a fiber-optic towed seismic streamer both without distortion and under conditions of limited dynamic range. As a result, signals from the output of the processing circuit model are used to construct seismograms of the same shelf area with different levels of acoustic amplification using the reflected wave method. The results demonstrate that the limitations of the dynamic range of signal processing circuit of fiber-optic towed seismic streamer have a significant impact on the quality of seismograms, on reducing the signals detailing, and also on decreasing the amplitudes of the recorded waves (in the presented data, the amplitude decreases by 5 times). The quality of seismograms drops significantly in areas of sharp transition between layers with different densities, which generate the most distinct and strong reflected seismic vibrations. The results obtained are of great practical importance, since they allow evaluating the effect of complex nonlinear distortions of acoustic signals under the conditions of limited dynamic range of the signal processing circuit of a fiber-optic towed seismic streamer on the received seismograms. These results are presented for the first time due to the lack of world analogues of the developed fiber-optic towed seismic streamer. In addition, taking into account the known sensitivity of the fiber-optic hydrophones of the streamer, the constructed model of the signal processing path allows choosing the optimal energy of the acoustic source for seismic exploration with the most efficient use of the dynamic range of the fiber-optic streamer.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>волоконно-оптическая коса</kwd><kwd>сейсмоакустические исследования</kwd><kwd>интерферометрические измерения</kwd><kwd>динамический диапазон</kwd><kwd>метод отраженных волн</kwd><kwd>общая глубинная точка</kwd></kwd-group><kwd-group xml:lang="en"><kwd>fiber-optic streamer</kwd><kwd>seismoacoustic research</kwd><kwd>interferometric measurements</kwd><kwd>dynamic range</kwd><kwd>reflected wave method</kwd><kwd>common depth point</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена в Университете ИТМО при финансовой поддержке Правительства Российской Федерации (Программа стратегического академического лидерства «Приоритет-2030»).</funding-statement><funding-statement xml:lang="en">This work was done in ITMO University and was financially supported by the Government of the Russian Federation (The Federal academic leadership program “Priority 2030”).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Kirkendall C., Barock T., Tveten A., Dandridge A. Fiber optic towed arrays: Technical Report / Naval Research Laboratory,Washington, DC, USA, 2007.</mixed-citation><mixed-citation xml:lang="en">Kirkendall C., Barock T., Tveten A., Dandridge A. Fiber optic towed arrays. Technical Report. Naval Research Laboratory, Washington, DC, USA, 2007.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Souto F. Fibre optic towed array: The high tech compact solution for naval warfare // Proc. of the Annual Conference of the Australian Acoustical Society 2013, Acoustics 2013: Science, Technology and Amenity. 2013. P. 297–301.</mixed-citation><mixed-citation xml:lang="en">Souto F. Fibre optic towed array: The high tech compact solution for naval warfare. Proc. of the Annual Conference of the Australian Acoustical Society 2013, Acoustics 2013: Science, Technology and Amenity, 2013, pp. 297–301.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Stolkin R., Sutin A., Radhakrishnan S., Bruno M., Fullerton B., Ekimov A., Raftery M. Feature based passive acoustic detection of underwater threats // Proceedings of SPIE. 2006. V. 6204. P. 620408. https://doi.org/10.1117/12.663651</mixed-citation><mixed-citation xml:lang="en">Stolkin R., Sutin A., Radhakrishnan S., Bruno M., Fullerton B., Ekimov A., Raftery M. Feature based passive acoustic detection of underwater threats. Proceedings of SPIE, 2006, vol. 6204, pp. 620408. https://doi.org/10.1117/12.663651</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Crickmore R.I., Nash P.J., Wooler J.P.F. Fiber optic security systems for land- and sea-based applications // Proceedings of SPIE. 2004. V. 5611. P. 79–87. https://doi.org/10.1117/12.578904</mixed-citation><mixed-citation xml:lang="en">Crickmore R.I., Nash P.J., Wooler J.P.F. Fiber optic security systems for land- and sea-based applications. Proceedings of SPIE, 2004, vol. 5611, pp. 79–87. https://doi.org/10.1117/12.578904</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Borowski B., Sutin A., Roh H.-S., Bunin B. Passive acoustic threat detection in estuarine environments // Proceedings of SPIE. 2008. V. 6945. P. 694513. https://doi.org/10.1117/12.779177</mixed-citation><mixed-citation xml:lang="en">Borowski B., Sutin A., Roh H.-S., Bunin B. Passive acoustic threat detection in estuarine environments. Proceedings of SPIE, 2008, vol. 6945, pp. 694513. https://doi.org/10.1117/12.779177</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">De Freitas J.M. Recent developments in seismic seabed oil reservoir monitoring applications using fibre-optic sensing networks // Measurement Science and Technology. 2011. V. 22. N 5. P. 052001. https://doi.org/10.1088/0957-0233/22/5/052001</mixed-citation><mixed-citation xml:lang="en">De Freitas J.M. Recent developments in seismic seabed oil reservoir monitoring applications using fibre-optic sensing networks. Measurement Science and Technology, 2011, vol. 22, no. 5, pp. 052001. https://doi.org/10.1088/0957-0233/22/5/052001</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang M., Ma X., Wang L., Lai S., Zhou H., Zhao H., Liao Y. Progress of optical fiber sensors and its application in harsh environment // Photonic Sensors. 2011. V. 1. N 1. P. 84–89. https://doi.org/10.1007/s13320-010-0012-1</mixed-citation><mixed-citation xml:lang="en">Zhang M., Ma X., Wang L., Lai S., Zhou H., Zhao H., Liao Y. Progress of optical fiber sensors and its application in harsh environment. Photonic Sensors, 2011, vol. 1, no. 1, pp. 84–89. https://doi.org/10.1007/s13320-010-0012-1</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Paulsson B.N.P., Toko J.L., Thornburg J.A., Slopko F., He R., Zhang C. A high performance fiber optic seismic sensor system // Proc. of the 38th Workshop Geothermal Reservoir Engineering. 2013. P. 8.</mixed-citation><mixed-citation xml:lang="en">Paulsson B.N.P., Toko J.L., Thornburg J.A., Slopko F., He R., Zhang C. A high performance fiber optic seismic sensor system. Proc. of the 38th Workshop Geothermal Reservoir Engineering, 2013, pp. 8.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Kringlebotn J.T., Nakstad H., Morten E. Fibre optic ocean bottom seismic cable system: From innovation to commercial success // Proceedings of SPIE. 2009. V. 7503. P. 75037U. https://doi.org/10.1117/12.837636</mixed-citation><mixed-citation xml:lang="en">Kringlebotn J.T., Nakstad H., Morten E. Fibre optic ocean bottom seismic cable system: From innovation to commercial success. Proceedings of SPIE, 2009, vol. 7503, pp. 75037U. https://doi.org/10.1117/12.837636</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Berg C., Langhammer J., Nash P. Lifetime stability and reliability of fibre-optic seismic sensors for permanent reservoir monitoring // Proc. of the Society of Exploration Geophysicists International Exposition and 82nd Annual Meeting (SEG). 2012. P. 1472–1476. https://doi.org/10.1190/segam2012-1236.1</mixed-citation><mixed-citation xml:lang="en">Berg C., Langhammer J., Nash P. Lifetime stability and reliability of fibre-optic seismic sensors for permanent reservoir monitoring. Proc. of the Society of Exploration Geophysicists International Exposition and 82nd Annual Meeting (SEG), 2012, P. 1472–1476. https://doi.org/10.1190/segam2012-1236.1</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Meng Z., Chen W., Wang J., Hu X., Chen M., Zhang Y. Recent progress in fiber-optic hydrophones // Photonic Sensors. 2021. V. 11. N 1. P. 109–122. https://doi.org/10.1007/s13320-021-0618-5</mixed-citation><mixed-citation xml:lang="en">Meng Z., Chen W., Wang J., Hu X., Chen M., Zhang Y. Recent progress in fiber-optic hydrophones. Photonic Sensors, 2021, vol. 11, no. 1, pp. 109–122. https://doi.org/10.1007/s13320-021-0618-5</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Fiber Optic Sensors: An Introduction for Engineers and Scientists / ed. by E. Udd, W.B. Spillman. Hoboken, NJ, USA: John Wiley &amp; Sons, 2011. 512 p.</mixed-citation><mixed-citation xml:lang="en">Fiber Optic Sensors: An Introduction for Engineers and Scientists. Ed. by E. Udd, W.B. Spillman. Hoboken, NJ, USA: John Wiley &amp; Sons, 2011, 512 p.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Yin S., Ruffin P.B., Yu F.T.S. Fiber Optic Sensors. 2nd ed. Boca Raton, FL, USA: CRC Press, 2008. 496 p.</mixed-citation><mixed-citation xml:lang="en">Yin S., Ruffin P.B., Yu F.T.S. Fiber Optic Sensors. 2nd ed. Boca Raton, FL, USA: CRC Press, 2008, 496 p.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Дмитращенко П.Ю., Плотников М.Ю., Лавров В.С., Волков А.В., Шарков И.А., Годовова А.С. Компенсация шумов буксировки волоконно-оптической сейсмической косы с использованием вспомогательного интерферометра // Оптический журнал. 2021. Т. 88. № 9. С. 69–74. https://doi.org/10.17586/1023-5086-2021-88-09-69-74</mixed-citation><mixed-citation xml:lang="en">Dmitrashchenko P.Yu., Plotnikov M.Yu., Lavrov V.S., Volkov A.V., Sharkov I.A., Godovova A.S. Compensation of the towing noise of a fiber-optic streamer using an additional interferometer. Journal of Optical Technology, 2021, vol. 88, no. 9, pp. 532–535. https://doi.org/10.1364/JOT.88.000532</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Cranch G.A., Nash P.J. Large-scale multiplexing of interferometric fiber-optic sensors using TDM and DWDM // Journal of Lightwave Technology. 2001. V. 19. N 5. P. 687–699. https://doi.org/10.1109/50.923482</mixed-citation><mixed-citation xml:lang="en">Cranch G.A., Nash P.J. Large-scale multiplexing of interferometric fiber-optic sensors using TDM and DWDM. Journal of Lightwave Technology, 2001, vol. 19, no. 5, pp. 687–699. https://doi.org/10.1109/50.923482</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Kersey D., Dandridge A. Comparative analysis of multiplexing techniques for interferometric fiber sensors // Proceedings of SPIE. 1989. V. 1120. P. 236–246. https://doi.org/10.1117/12.960993</mixed-citation><mixed-citation xml:lang="en">Kersey D., Dandridge A. Comparative analysis of multiplexing techniques for interferometric fiber sensors. Proceedings of SPIE, 1989, vol. 1120, pp. 236–246. https://doi.org/10.1117/12.960993</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Беликин М.Н., Плотников М.Ю., Стригалев В.Е., Куликов А.В., Киреенков А.Ю. Экспериментальное сравнение алгоритмов гомодинной демодуляции сигналов для фазового волоконно-оптического датчика // Научно-технический вестник информационных технологий, механики и оптики. 2015. Т. 15. № 6. С. 1008–1014. https://doi.org/10.17586/2226-1494-2015-15-6-1008-1014</mixed-citation><mixed-citation xml:lang="en">Belikin M.N., Plotnikov M.Yu., Strigalev V.E., Kulikov A.V., Kireenkov A.Yu. Experimental comparison of homodyne demodulation algorithms for phase fiber-optic sensor. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2015, vol. 15, no. 6, pp. 1008–1014. (in Russian). https://doi.org/10.17586/2226-1494-2015-15-6-1008-1014</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Christian T.R., Frank P.A., Houston B.H. Real-time analog and digital demodulator for interferometric fiber optic sensors // Proceedings of SPIE. 1994. V. 2191. P. 324–336. https://doi.org/10.1117/12.173962</mixed-citation><mixed-citation xml:lang="en">Christian T.R., Frank P.A., Houston B.H. Real-time analog and digital demodulator for interferometric fiber optic sensors. Proceedings of SPIE , 1994 , vol. 2191 , pp .324–336 .https://doi.org/10.1117/12.173962</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Dandridge A., Tveten A.B., Giallorenzi T.G. Homodyne demodulation scheme for fiber optic sensors using phase generated carrier // IEEE Journal of Quantum Electronics. 1982. V. 18. N 10. P. 1647–1653. https://doi.org/10.1109/JQE.1982.1071416</mixed-citation><mixed-citation xml:lang="en">Dandridge A., Tveten A.B., Giallorenzi T.G. Homodyne demodulation scheme for fiber optic sensors using phase generated carrier. IEEE Journal of Quantum Electronics, 1982, vol. 18, no. 10, pp. 1647–1653. https://doi.org/10.1109/JQE.1982.1071416</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">He J., Wang L., Li F., Liu Y. An ameliorated phase generated carrier demodulation algorithm with low harmonic distortion and high stability // Journal of Lightwave Technology. 2010. V. 28. N 22. P. 3258–3265. https://doi.org/10.1109/JLT.2010.2081347</mixed-citation><mixed-citation xml:lang="en">He J., Wang L., Li F., Liu Y. An ameliorated phase generated carrier demodulation algorithm with low harmonic distortion and high stability. Journal of Lightwave Technology, 2010, vol. 28, no. 22, pp. 3258–3265. https://doi.org/10.1109/JLT.2010.2081347</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Tong Y., Zeng H., Li L., Zhou Y. Improved phase generated carrier demodulation algorithm for eliminating light intensity disturbance and phase modulation amplitude variation // Applied Optics. 2012. V. 51. N 29. P. 6962–6967. https://doi.org/10.1364/AO.51.006962</mixed-citation><mixed-citation xml:lang="en">Tong Y., Zeng H., Li L., Zhou Y. Improved phase generated carrier demodulation algorithm for eliminating light intensity disturbance and phase modulation amplitude variation. Applied Optics, 2012, vol. 51, no. 29, pp. 6962–6967. https://doi.org/10.1364/AO.51.006962</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Yan L., Zhang Y., Xie J., Lou Y., Chen B., Zhang S., Zhou Y. Nonlinear error compensation of PGC demodulation with the calculation of carrier phase delay and phase modulation depth // Journal of Lightwave Technology. 2021. V. 39. N 8. P. 2327–2335. https://doi.org/10.1109/JLT.2021.3049481</mixed-citation><mixed-citation xml:lang="en">Yan L., Zhang Y., Xie J., Lou Y., Chen B., Zhang S., Zhou Y. Nonlinear error compensation of PGC demodulation with the calculation of carrier phase delay and phase modulation depth. Journal of Lightwave Technology, 2021, vol. 39, no. 8, pp. 2327– 2335. https://doi.org/10.1109/JLT.2021.3049481</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Sun Z., Liu K., Jiang J., Xu T., Wang S., Guo H., Zhou Z., Xue K., Huang Y., Liu T. Dynamic phase extraction in an ameliorated distributed vibration sensor using a highly stable homodyne detection // IEEE Sensors Journal. 2021. V. 21. N 23. P. 27005–27014. https:// doi.org/10.1109/JSEN.2021.3122133</mixed-citation><mixed-citation xml:lang="en">Sun Z., Liu K., Jiang J., Xu T., Wang S., Guo H., Zhou Z., Xue K., Huang Y., Liu T. Dynamic phase extraction in an ameliorated distributed vibration sensor using a highly stable homodyne detection. IEEE Sensors Journal, 2021, vol. 21, no. 23, pp. 27005–27014. https://doi.org/10.1109/JSEN.2021.3122133</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Plotnikov M.J., Kulikov A.V., Strigalev V.E., Meshkovsky I.K. Dynamic range analysis of the phase generated carrier demodulation technique // Advances in Optical Technologies. 2014. P. 815108. https://doi.org/10.1155/2014/815108</mixed-citation><mixed-citation xml:lang="en">Plotnikov M.J., Kulikov A.V., Strigalev V.E., Meshkovsky I.K. Dynamic range analysis of the phase generated carrier demodulation technique. Advances in Optical Technologies, 2014, pp. 815108. https://doi.org/10.1155/2014/815108</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Plotnikov M.Y., Lavrov V.S., Dmitraschenko P.Y., Kulikov A.V., Meshkovskiy I.K. Thin cable fiber-optic hydrophone array for passive acoustic surveillance applications // IEEE Sensors Journal. 2019. V. 19. N 9. P. 3376–3382. https://doi.org/10.1109/JSEN.2019.2894323</mixed-citation><mixed-citation xml:lang="en">Plotnikov M.Y., Lavrov V.S., Dmitraschenko P.Y., Kulikov A.V., Meshkovskiy I.K. Thin cable fiber-optic hydrophone array for passive acoustic surveillance applications. IEEE Sensors Journal, 2019, vol. 19, no. 9, pp. 3376–3382. https://doi.org/10.1109/JSEN.2019.2894323</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Rissons A., Mollier J.C. The vertical-cavity surface emitting laser (VCSEL) and electrical access contribution // OptoelectronicsDevices and Applications. 2011. P. 227–254. https://doi.org/10.5772/18299</mixed-citation><mixed-citation xml:lang="en">Rissons A., Mollier J.C. The vertical-cavity surface emitting laser (VCSEL) and electrical access contribution. Optoelectronics-Devices and Applications, 2011, pp. 227–254. https://doi.org/10.5772/18299</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Gdeisat M., Lilley F. One-Dimensional Phase Unwrapping Problem. Liverpool John Moores University, 2012.</mixed-citation><mixed-citation xml:lang="en">Gdeisat M., Lilley F. One-Dimensional Phase Unwrapping Problem. Liverpool John Moores University, 2012.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Volkov A.V., Plotnikov M.Y., Mekhrengin M.V., Miroshnichenko G.P., Aleynik A.S. Phase modulation depth evaluation and correction technique for the PGC demodulation scheme in fiber-optic interferometric sensors // IEEE Sensors Journal. 2017. V. 17. N 13. P. 4143–4150. https://doi.org/10.1109/JSEN.2017.2704287</mixed-citation><mixed-citation xml:lang="en">Volkov A.V., Plotnikov M.Y., Mekhrengin M.V., Miroshnichenko G.P., Aleynik A.S. Phase modulation depth evaluation and correction technique for the PGC demodulation scheme in fiber-optic interferometric sensors. IEEE Sensors Journal, 2017, vol. 17, no. 13, pp. 4143–4150. https://doi.org/10.1109/JSEN.2017.2704287</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Wang G.Q., Xu T.W., Li F. PGC demodulation technique with high stability and low harmonic distortion // IEEE Photonics Technology Letters. 2012. V. 24. N 23. P. 2093–2096. https://doi.org/10.1109/LPT.2012.2220129</mixed-citation><mixed-citation xml:lang="en">Wang G.Q., Xu T.W., Li F. PGC demodulation technique with high stability and low harmonic distortion. IEEE Photonics Technology Letters, 2012, vol. 24, no. 23, pp. 2093–2096. https://doi.org/10.1109/LPT.2012.2220129</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Hou L., Peng F., Yang J., Yuan Y., Yan D., Wu B., Yuan L. An improved PGC demodulation method to extend dynamic range and compensate low-frequency drift of modulation depth // Proceedings of SPIE. 2015. V. 9634. P. 96345Y. https://doi.org/10.1117/12.2195867</mixed-citation><mixed-citation xml:lang="en">Hou L., Peng F., Yang J., Yuan Y., Yan D., Wu B., Yuan L. An improved PGC demodulation method to extend dynamic range and compensate low-frequency drift of modulation depth. Proceedings of SPIE , 2015, vol. 9634 , pp. 96345Y. https://doi.org/10.1117/12.2195867</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Боганик Г.Н., Гурвич И.И. Сейсморазведка: учебник для вузов. Тверь: АИС, 2006. 744 с.</mixed-citation><mixed-citation xml:lang="en">Boganik G.N., Gurvich I.I. Seismic Surveying. Tver, AIS Publ., 2006, 744 с. (in Russian)</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Гайнанов В.Г. Практикум по обработке данных сейсморазведки МОВ-ОГТ: Руководство к практическим занятиям по курсу «Сейсморазведка»: учебное пособие. 2-e изд, перераб. М.: КДУ, Добросвет, 2018.</mixed-citation><mixed-citation xml:lang="en">Gainanov V.G. Workshop on Seismic Data Processing Using Reflection Wave Method and CMP-method. A Guide to Practical Exercises for the Course “Seismic Surveying”. 2nd ed., Moscow, KDU, Dobrosvet Publ., 2018. (in Russian)</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
