ntvНаучно-технический вестник информационных технологий, механики и оптикиScientific and Technical Journal of Information Technologies, Mechanics and Optics2226-14942500-0373Университет ИТМО10.17586/2226-1494-2023-23-1-1-13ntv-311Research ArticleИЗБРАННЫЕ МАТЕРИАЛЫ XXXII ШКОЛЫ ПО ГОЛОГРАФИИ. ЧАСТЬ IIIPROCEEDINGS OF THE XXXII SCHOOL ON HOLOGRAPHY. PART IIIХарактеризация голографического фотополимера Bayfol HX в инфракрасной области спектраCharacterization of the holographic photopolymer Bayfol HX in the IR regionhttps://orcid.org/0000-0003-3525-5698БорисовВ. Н.BorisovV. N.

Борисов Владимир Николаевич - кандидат физико-математических наук, независимый исследователь

Санкт-Петербург

Vladimir N. Borisov - PhD (Physics & Mathematics), Independent Researcher

Saint Petersburg

pvlc2013@gmail.comhttps://orcid.org/0000-0002-3383-906XЗверевА. Д.ZverevA. D.

Зверев Андрей Дмитриевич - и.о. младший научный сотрудник

Москва, 119991

Andrey D. Zverev - Acting Junior Researcher

Moscow, 119991

izverevad@gmail.comhttps://orcid.org/0000-0002-4265-3478КамынинВ. А.KamyninV. A.

Камынин Владимир Александрович - кандидат физико-математических наук, старший научный сотрудник

Москва, 119991

Vladimir A. Kamynin - PhD (Physics & Mathematics), Senior Researcher

Moscow, 119991

kamyninva@gmail.comhttps://orcid.org/0000-0002-2113-6607КопьеваМ. С.KopyevaM. S.

Копьева Мария Сергеевна - и.о. младший научный сотрудник

Москва, 117198

Maria S. Kopyeva - Acting Junior Researcher; PhD Student

Moscow, 117198

mashutka_kopyova@mail.ruhttps://orcid.org/0000-0003-2461-9978ОкуньР. А.OkunR. A.

Окунь Роман Александрович - и.о. младший научный сотрудник

Москва, 119991

Roman A. Okun - Acting Junior Researcher

Moscow, 119991

romaokun@rambler.ruhttps://orcid.org/0000-0002-1483-3308ЦветковВ. Б.TsvetkovV. B.

Цветков Владимир Борисович - доктор физико-математических наук, заместитель директора

Москва, 119991

Vladimir B. Tsvetkov - D.Sc., Deputy Director

Moscow, 119991

tsvetkov@lsk.gpi.ruИнститут общей физики им. А.М. Прохорова Российской академии наукРоссияProkhorov General Physics Institute of the Russian Academy of SciencesRussian FederationРоссийский университет дружбы народовРоссияRUDN UniversityRussian Federation202317122024231113Copyright © Борисов В.Н., Зверев А.Д., Камынин В.А., Копьева М.С., Окунь Р.А., Цветков В.Б., 20242024Борисов В.Н., Зверев А.Д., Камынин В.А., Копьева М.С., Окунь Р.А., Цветков В.Б.Borisov V.N., Zverev A.D., Kamynin V.A., Kopyeva M.S., Okun R.A., Tsvetkov V.B.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://ntv.elpub.ru/jour/article/view/311

Предмет исследования. Рассмотрена возможность создания дифракционных элементов на основе голографического фотополимера Bayfol HX, работающих в ближнем инфракрасном диапазоне спектра. Исследованы динамический диапазон показателя преломления фотополимера и амплитудно-фазовые характеристики голограмм в инфракрасном диапазоне. Изучено влияние параметров записи (плотности мощности записывающего излучения, времени записи) на распределение динамического диапазона показателя преломления между гармониками решетки.Метод. Анализ амплитудно-фазового характера голограмм выполнен с помощью измерения спектров пропускания исследуемого фотополимера после реакции фотополимеризации. Проведена оценка динамического диапазона показателя преломления фотополимера в спектральном диапазоне от 405 до 2099 нм. Предварительно осуществлены измерение и анализ контуров угловой селективности голограмм с периодами от 414 до 2100 нм, оптимизированных под разные части исследуемого спектрального диапазона. Выполнен анализ влияния параметров записи на распределение динамического диапазона показателя преломления между гармониками решетки. Произведен расчет амплитуд первой и второй гармоник модуляции показателя преломления из экспериментально измеренных контуров угловой селективности голограмм, сформированных при разных длительностях записи при постоянной дозе облучения.Основные результаты. Показано, что динамические диапазоны показателя преломления фотополимера в ближнем инфракрасном диапазоне и в длинноволновой части видимого диапазона отличаются на величину, не превышающую точности измерений. Продемонстрировано ярко выраженное нарушение закона взаимозаместимости при масштабировании интерференционной картины и/или изменении плотности мощности записывающего излучения.Практическая значимость. Найдены оптимальные условия записи голограмм в исследуемом фотополимере для их применения в инфракрасном диапазоне спектра. Исследованный голографический материал может найти применение в телекоммуникационной оптике.

The possibility of creating holographic optical elements operating in the near infrared spectral range based on the Bayfol HX holographic photopolymer has been considered. The dynamic range of the refractive index of the photopolymer and the amplitude-phase nature of the holograms in the infrared range have been studied. The influence of recording parameters (power density of recording radiation, recording time) on the distribution of the dynamic range of the refractive index between grating harmonics has been studied. The analysis of the amplitude-phase nature of holograms was carried out by measuring the transmission spectra of the studied photopolymer after the photopolymerization reaction. The dynamic range of the refractive index of a photopolymer evaluated in the spectral range from 405 nm to 2099 nm. For this purpose, the angular selectivity contours of holograms with periods from 414 nm to 2100 nm, optimized for different parts of the specified spectral range, were measured and analyzed. The influence of recording parameters on the distribution of the dynamic range of the refractive index between the grating harmonics was analyzed by calculating the amplitudes of the first and second harmonics of the refractive index modulation from the experimentally measured angular selectivity contours of holograms recorded with different recording time at a constant irradiation dose. It was shown that the dynamic range of the refractive index of the photopolymer in the near infrared spectral range, as compared with the long-wavelength part of the visible region of the spectrum, differs by a value that does not exceed the measurement accuracy. A pronounced violation of the reciprocity was demonstrated with scaling of the interference pattern or with changing of the power density of the recording radiation. The optimal recording conditions for holograms calculated for the infrared spectral range for the studied photopolymer were found. The possibility of using of the studied holographic material in telecommunication optics has been demonstrated.

голографияBayfolфотополимеринфракрасное излучениедифракционная оптикаholographyBayfolphotopolymerIR radiationdiffractive opticsРабота выполнена на базе Научного центра мирового уровня «Фотоника» при финансовой поддержке Министерства науки и высшего образования Российской Федерации (грант № 075-15-2020-912). Авторы благодарят доктора Фридриха-Карла Брудера за предоставление голографической среды Bayfol HX, а также Василия Валерьевича Лесничего за консультации по вопросам анализа экспериментальных результатов.This research was funded with the financial support of the Ministry of Science and Higher Education of the Russian Federation, grant number 075-15-2020-912, and carried out on the basis of the World-Class Research Center “Photonics”. The authors thank Dr. Friedrich-Karl Bruder for providing the Bayfol HX holographic medium, and Lesnichii Vasilii Valerievich for consultations on the analysis of experimental results.ReferencesQuintana J.A., Boj P.G., Crespo J., Pardo M., Satorre M.A. Linefocusing holographic mirrors for solar ultraviolet energy concentration // Applied Optics. 1997. V. 36. N 16. P. 3689–3693. https://doi.org/10.1364/AO.36.003689Quintana J.A., Boj P.G., Crespo J., Pardo M., Satorre M.A. Linefocusing holographic mirrors for solar ultraviolet energy concentration. Applied Optics, 1997, vol. 36, no. 16, pp. 3689–3693. https://doi.org/10.1364/AO.36.003689Glebov L.B., Smirnov V., Rotari E., Cohanoschi I., Glebova L., Smolski O.V., Lumeau J., Lantigua C., Glebov A. Volume-chirped Bragg gratings: monolithic components for stretching and compression of ultrashort laser pulses // Optical Engineering. 2014. V. 53. N 5. P. 051514. https://doi.org/10.1117/1.OE.53.5.051514Glebov L.B., Smirnov V., Rotari E., Cohanoschi I., Glebova L., Smolski O.V., Lumeau J., Lantigua C., Glebov A. Volume-chirped Bragg gratings: monolithic components for stretching and compression of ultrashort laser pulses. Optical Engineering, 2014, vol. 53, no. 5, pp. 051514. https://doi.org/10.1117/1.OE.53.5.051514Berneth H., Bruder F.-K., Fäcke T., Hagen R., Hönel D., Jurbergs D., Rölle T., Weiser M.-S. Holographic recording aspects of highresolution Bayfol HX photopolymer // Proceedings of SPIE. 2011. V. 7957. P. 79570H. https://doi.org/10.1117/12.876202Berneth H., Bruder F.-K., Fäcke T., Hagen R., Hönel D., Jurbergs D., Rölle T., Weiser M.-S. Holographic recording aspects of highresolution Bayfol HX photopolymer. Proceedings of SPIE, 2011, vol. 7957, pp. 79570H. https://doi.org/10.1117/12.876202Bruder F.-K., Hansen S., Kleinschmidt T., Künzel R., Manecke C., Orselli E., Rewitz C., Rölle T. Integration of volume holographic optical elements (vHOE) made with Bayfol® HX into plastic optical parts // Proceedings of SPIE. 2019. V. 10944. P. 1094402. https://doi.org/10.1117/12.2510109Bruder F.-K., Hansen S., Kleinschmidt T., Künzel R., Manecke C., Orselli E., Rewitz C., Rölle T. Integration of volume holographic optical elements (vHOE) made with Bayfol® HX into plastic optical parts. Proceedings of SPIE, 2019, vol. 10944, pp. 1094402. https:// doi.org/10.1117/12.2510109Vázquez-Martín I., Gómez-Climente M., Marín-Sáez J., Collados M.V., Atencia J. True colour Denisyuk-type hologram recording in Bayfol HX self-developing photopolymer // Proceedings of SPIE. 2017. V. 10233. P. 102331 U. https://doi.org/10.1117/12.2265802Vázquez-Martín I., Gómez-Climente M., Marín-Sáez J., Collados M.V., Atencia J. True colour Denisyuk-type hologram recording in Bayfol HX self-developing photopolymer. Proceedings of SPIE, 2017, vol. 10233, pp. 102331U. https://doi.org/10.1117/12.2265802Marín-Sáez J., Atencia J., Chemisana D., Collados M.V. Full modeling and experimental validation of cylindrical holographic lenses recorded in Bayfol HX photopolymer and partly operating in the transition regime for solar concentration // Optics Express. 2018. V. 26. N 10. P. A398–A412. https://doi.org/10.1364/OE.26.00A398Marín-Sáez J., Atencia J., Chemisana D., Collados M.V. Full modeling and experimental validation of cylindrical holographic lenses recorded in Bayfol HX photopolymer and partly operating in the transition regime for solar concentration. Optics Express, 2018, vol. 26, no. 10, pp. A398–A412. https://doi.org/10.1364/OE.26.00A398Bruder F.-K., Fäcke T., Grote F., Hagen R., Hönel D., Koch E., Rewitz C., Walze G., Wewer B. Performance optimization in mass production of volume holographic optical elements (vHOEs) using Bayfol HX photopolymer film // Proceedings of SPIE. 2017. V. 10233. P. 102330G. https://doi.org/10.1117/12.2265022Bruder F.-K., Fäcke T., Grote F., Hagen R., Hönel D., Koch E., Rewitz C., Walze G., Wewer B. Performance optimization in mass production of volume holographic optical elements (vHOEs) using Bayfol HX photopolymer film. Proceedings of SPIE, 2017, vol. 10233, pp. 102330G. https://doi.org/10.1117/12.2265022Berneth H., Bruder F.-K., Fäcke T., Jurbergs D., Hagen R., Hönel D., Rölle T., Walze G. Bayfol HX photopolymer for full-color transmission volume Bragg gratings // Proceedings of SPIE. 2014. V. 9006. P. 900602. https://doi.org/10.1117/12.2038399Berneth H., Bruder F.-K., Fäcke T., Jurbergs D., Hagen R., Hönel D., Rölle T., Walze G. Bayfol HX photopolymer for full-color transmission volume Bragg gratings. Proceedings of SPIE, 2014, vol. 9006, pp. 900602. https://doi.org/10.1117/12.2038399Bruder F.-K., Fäcke T., Hagen R., Hönel D., Orselli E., Rewitz C., Rölle T., Walze G. Diffractive optics with high Bragg selectivity: volume holographic optical elements in Bayfol® HX photopolymer film // Proceedings of SPIE. 2015. V. 9626. P. 96260T. https://doi.org/10.1117/12.2191587Bruder F.-K., Fäcke T., Hagen R., Hönel D., Orselli E., Rewitz C., Rölle T., Walze G. Diffractive optics with high Bragg selectivity: volume holographic optical elements in Bayfol® HX photopolymer film. Proceedings of SPIE, 2015, vol. 9626, pp. 96260T. https://doi.org/10.1117/12.2191587Bruder F.-K., Bang H., Fäcke T., Hagen R., Hönel D., Orselli E., Rewitz C., Rölle T., Vukicevic D., Walze G. Precision holographic optical elements in Bayfol HX photopolymer // Proceedings of SPIE. 2016. V. 9771. P. 977103. https://doi.org/10.1117/12.2209636Bruder F.-K., Bang H., Fäcke T., Hagen R., Hönel D., Orselli E., Rewitz C., Rölle T., Vukicevic D., Walze G. Precision holographic optical elements in Bayfol HX photopolymer. Proceedings of SPIE, 2016, vol. 9771, pp. 977103. https://doi.org/10.1117/12.2209636Bruder F.-K., Fäcke T., Hagen R., Hönel D., Kleinschmidt T.P., Orselli E., Rewitz C., Rölle T., Walze G. Diffractive optics in large sizes: computer-generated holograms (CGH) based on Bayfol HX photopolymer // Proceedings of SPIE. 2015. V. 9385. P. 93850C. https://doi.org/10.1117/12.2077139Bruder F.-K., Fäcke T., Hagen R., Hönel D., Kleinschmidt T.P., Orselli E., Rewitz C., Rölle T., Walze G. Diffractive optics in large sizes: computer-generated holograms (CGH) based on Bayfol HX photopolymer. Proceedings of SPIE, 2015, vol. 9385, pp. 93850C. https://doi.org/10.1117/12.2077139Marín-Sáez J., Atencia J., Chemisana D., Collados M.V. Characterization of volume holographic optical elements recorded in Bayfol HX photopolymer for solar photovoltaic applications // Optics Express. 2016. V. 24. N 6. P. A720–A730. https://doi.org/10.1364/OE.24.00A720Marín-Sáez J., Atencia J., Chemisana D., Collados M.V. Characterization of volume holographic optical elements recorded in Bayfol HX photopolymer for solar photovoltaic applications. Optics Express, 2016, vol. 24, no. 6, pp. A720–A730. https://doi.org/10.1364/OE.24.00A720Bruder F.-K., Frank J., Hansen S., Lorenz A., Manecke C., Meisenheimer R., Mills J., Pitzer L., Pochorovski I., Rölle T. Expanding the property profile of Bayfol HX films towards NIR recording and ultra-high index modulation // Proceedings of SPIE. 2021. V. 11765. P. 117650J. https://doi.org/10.1117/12.2579235Bruder F.-K., Frank J., Hansen S., Lorenz A., Manecke C., Meisenheimer R., Mills J., Pitzer L., Pochorovski I., Rölle T. Expanding the property profile of Bayfol HX films towards NIR recording and ultra-high index modulation. Proceedings of SPIE, 2021, vol. 11765, pp. 117650J. https://doi.org/10.1117/12.2579235Peng H., Nair D.P., Kowalski B.A., Xi W., Gong T., Wang C., Cole M., Cramer N.B., Xie X., McLeod R.R., Bowman C.N. High performance graded rainbow holograms via two-stage sequential orthogonal thiol–click chemistry // Macromolecules. 2014. V. 47. N 7. P. 2306–2315. https://doi.org/10.1021/ma500167xPeng H., Nair D.P., Kowalski B.A., Xi W., Gong T., Wang C., Cole M., Cramer N.B., Xie X., McLeod R.R., Bowman C.N. High performance graded rainbow holograms via two-stage sequential orthogonal thiol–click chemistry. Macromolecules, 2014, vol. 47, no. 7, pp. 2306–2315. https://doi.org/10.1021/ma500167xMonte F.D., Martínez O., Rodrigo J. A., Calvo M. L., Cheben P. A volume holographic sol-gel material with large enhancement of dynamic range by incorporation of high refractive index species // Advanced Materials. 2006. V. 18. N 15. P. 2014–2017. https://doi.org/10.1002/adma.200502675Monte F.D., Martínez O., Rodrigo J. A., Calvo M. L., Cheben P. A volume holographic sol-gel material with large enhancement of dynamic range by incorporation of high refractive index species. Advanced Materials, 2006, vol. 18, no. 15, pp. 2014–2017. https:// doi.org/10.1002/adma.200502675Bruder F.-K., Fäcke T., Rölle T. The chemistry and physics of Bayfol® HX film holographic photopolymer // Polymers. 2017. V. 9. N 10. P. 472. https://doi.org/10.3390/polym9100472Bruder F.-K., Fäcke T., Rölle T. The chemistry and physics of Bayfol® HX film holographic photopolymer. Polymers, 2017, vol. 9, no. 10, pp. 472. https://doi.org/10.3390/polym9100472Kargaran A., Ebrahimi M., Riazi M., Hosseiny A., Jafari G.R. Quartic balance theory: Global minimum with imbalanced triangles // Physical Review. 2020. V. 102. N 1. P. 012310. https://doi.org/10.1103/PhysRevE.102.012310Kargaran A., Ebrahimi M., Riazi M., Hosseiny A., Jafari G.R. Quartic balance theory: Global minimum with imbalanced triangles. Physical Review, 2020, vol. 102, no. 1, pp. 012310. https://doi.org/10.1103/PhysRevE.102.012310Spiegler K.S., Kedem O. Thermodynamics of hyperfiltration (reverse osmosis): criteria for efficient membranes // Desalination. 1966. V. 1. N 4. P. 311–326. https://doi.org/10.1016/S0011-9164(00)80018-1Spiegler K.S., Kedem O. Thermodynamics of hyperfiltration (reverse osmosis): criteria for efficient membranes. Desalination, 1966, vol. 1, no. 4, pp. 311–326. https://doi.org/10.1016/S0011-9164(00)80018-1Lucarini V., Saarinen J.J., Peiponen K.-E., Vartiainen E.M. Kramers-Kronig Relations in Optical Materials Research. Springer Science & Business Media, 2005. 162 p. (Springer Series in Optical Sciences. V. 110). https://doi.org/10.1007/b138913Lucarini V., Saarinen J.J., Peiponen K.-E., Vartiainen E.M. Kramers-Kronig Relations in Optical Materials Research. Springer Science & Business Media, 2005. 162 p. Springer Series in Optical Sciences, vol. 110. https://doi.org/10.1007/b138913Kopyeva M.S., Filatova S.A., Kamynin V.A., Trikshev A.I., Kozlikina E.I., Astashov V.V., Loschenov V.B., Tsvetkov V.B. Exvivo exposure on biological tissues in the 2-μm spectral range with an all-fiber continuous-wave holmium laser // Photonics. 2021. V. 9. N 1. P. 20. https://doi.org/10.3390/photonics9010020Kopyeva M.S., Filatova S.A., Kamynin V.A., Trikshev A.I., Kozlikina E.I., Astashov V.V., Loschenov V.B., Tsvetkov V.B. Exvivo exposure on biological tissues in the 2-μm spectral range with an all-fiber continuous-wave holmium laser. Photonics, 2021, vol. 9, no. 1, pp. 20. https://doi.org/10.3390/photonics9010020Kogelnik H. Coupled wave theory for thick hologram gratings // Bell System Technical Journal. 1969. V. 48. N 9. P. 2909–2947. https://doi.org/10.1002/j.1538-7305.1969.tb01198.xKogelnik H. Coupled wave theory for thick hologram gratings. Bell System Technical Journal, 1969, vol. 48, no. 9, pp. 2909–2947. https://doi.org/10.1002/j.1538-7305.1969.tb01198.xBorisov V.N., Angervaks A.E., Ryskin A.I., Veniaminov A.V. Twomodel spectral study of volume holograms in materials with diffusionbased mechanisms // Optical Engineering. 2019. V. 58. N 2. P. 024102. https://doi.org/10.1117/1.OE.58.2.024102Borisov V.N., Angervaks A.E., Ryskin A.I., Veniaminov A.V. Twomodel spectral study of volume holograms in materials with diffusionbased mechanisms. Optical Engineering, 2019, vol. 58, no. 2, pp. 024102. https://doi.org/10.1117/1.OE.58.2.024102Mees E.K., James T.H. The Theory of the Photographic Process. New York: Macmillan, 1967. Chap. 7. P. 132.Mees E.K., James T.H. The Theory of the Photographic Process. New York, Macmillan, 1967, chap. 7, pp. 132.Pottier P., Strain M.J., Packirisamy M. Integrated microspectrometer with elliptical Bragg mirror enhanced diffraction grating on silicon on insulator // ACS Photonics. 2014. V. 1. N 5. P. 430−436. https:// doi.org/10.1021/ph400165jPottier P., Strain M.J., Packirisamy M. Integrated microspectrometer with elliptical Bragg mirror enhanced diffraction grating on silicon on insulator. ACS Photonics, 2014, vol. 1, no. 5, pp. 430−436. https:// doi.org/10.1021/ph400165jLiu P., Zhao Y., Li Z., Sun X. Improvement of ultrafast holographic performance in silver nanoprisms dispersed photopolymer // Optics Express. 2018. V. 26. N 6. P. 6993–7004. https://doi.org/10.1364/OE.26.006993Liu P., Zhao Y., Li Z., Sun X. Improvement of ultrafast holographic performance in silver nanoprisms dispersed photopolymer. Optics Express, 2018, vol. 26, no. 6, pp. 6993–7004. https://doi.org/10.1364/OE.26.006993Sheridan J.T., Lawrence J.R. Nonlocal-response diffusion model of holographic recording in photopolymer // Journal of the Optical Society of America A. 2000. V. 17. N 6. P. 1108–1114. https://doi.org/10.1364/JOSAA.17.001108Sheridan J.T., Lawrence J.R. Nonlocal-response diffusion model of holographic recording in photopolymer. Journal of the Optical Society of America A, 2000, vol. 17, no. 6, pp. 1108–1114. https://doi.org/10.1364/JOSAA.17.001108Zhao G., Mouroulis P. Diffusion model of hologram formation in dry photopolymer materials // Journal of Modern Optics. 1994. V. 41. N 10. P. 1929–1939. https://doi.org/10.1080/09500349414551831Zhao G., Mouroulis P. Diffusion model of hologram formation in dry photopolymer materials. Journal of Modern Optics, 1994, vol. 41, no. 10, pp. 1929–1939. https://doi.org/10.1080/09500349414551831Kelly J.V., O’Neill F.T., Sheridan J.T., Neipp C., Gallego S., Ortuno M. Holographic photopolymer materials with nonlocal and nonlinear response // Proceedings of SPIE. 2003. V. 5216. P. 127–138. https://doi.org/10.1117/12.509138Kelly J.V., O’Neill F.T., Sheridan J.T., Neipp C., Gallego S., Ortuno M. Holographic photopolymer materials with nonlocal and nonlinear response. Proceedings of SPIE, 2003, vol. 5216, pp. 127–138. https://doi.org/10.1117/12.509138Bruder F.-K., Deuber F., Fäcke T., Hagen R., Hönel D., Jurbergs D., Rölle T., Weiser M.-S. Reaction-diffusion model applied to high resolution Bayfol HX photopolymer // Proceedings of SPIE. 2010. V. 7619. P. 76190I. https://doi.org/10.1117/12.841956Bruder F.-K., Deuber F., Fäcke T., Hagen R., Hönel D., Jurbergs D., Rölle T., Weiser M.-S. Reaction-diffusion model applied to high resolution Bayfol HX photopolymer. Proceedings of SPIE, 2010, vol. 7619, pp. 76190I. https://doi.org/10.1117/12.841956

The authors declare that there are no conflicts of interest present.