Analysis of the formation of an interference grating with a tunable period in a two-beam interferometer when the radiation source moves along an arc of a circle

For Russian citation (Opticheskii Zhurnal):

Микерин С.Л., Угожаев В.Д. Анализ формирования интерференционной решётки с перестраиваемым периодом в двухлучевом интерферометре при движении источника излучения по дуге окружности // Оптический журнал. 2026. Т. 93. № 6. С. 15–27. http://doi.org/10.17586/1023-5086-2026-93-06-15-27

Mikerin S.L., Ugozhaev V.D. Analysis of the formation of an interference grating with a tunable period in a two-beam interferometer when the radiation source moves along an arc of a circle [in Russian] // Opticheskii Zhurnal. 2026. V. 93. № 6. P. 15–27. http://doi.org/10.17586/1023-5086-2026-93-06-15-27

For citation (Journal of Optical Technology):

Abstract:

Subject of the study. A holographic system for recording diffraction gratings with a period that varies by changing the incidence angle of the light beam at the entrance to the beam-splitting cube. The source of the input beam moves along a circular arc with its center fixed at the intersection point of the boundary positions of this beam, determined by the condition of immobility of the interference grating. Aim of the study. Minimization of the drift of the grating central section relative to an immobile photosensitive sample during the process of tuning its period. Method. Angular correction of the position of the arc trajectory along which the input beam source moves by analyzing the path of light beams within the framework of geometric optics. Main results. It is shown that angular correction of the arc trajectory, based on the boundary positions of the input beam, leads to variations in the gap width within which the interference grating drifts. The optimal position of the circle’s center, which minimizes drift and amounts to ±15 µm relative to an immobile photosensitive sample in a typical holographic system configuration with a 25.4 mm cube, is found. Practical significance. In the studied system, the interference grating period can be tuned using simple design features. At the same time, the grating drift relative to the photosensitive sample is very small, due to what high interference contrast across the entire width of the exposed sample area. This also opens the possibility of using relatively narrow light beams.

Keywords:

two-beam interferometer, beam-splitting cube, fixed mirrors, fixed photosensitive sample, interference grating, tuning of the spatial frequency, interference grating drift, interference lithography

Acknowledgements:

the work was carried out using funds from a subsidy for financial support for the implementation of the state assignment of the Institute of Automation and Electrometry SB RAS (Project № 124041700064-5).

OCIS codes: 080.0080, 080.2740, 080.4035, 120.3180, 120.4570, 120.4640, 220.2740

References:

1. Berberova N., Daskalova D., Strijkova V., Kostadinova D., Nazarova D., Nedelchev L., Stoykova E., Marinova V., Chi C.H., Lin S.H. Polarization holographic recording in thin films of pure azopolymer and azopolymer based hybrid materials // Optical Materials. 2017. V. 64. P. 212−216. http://doi.org/10.1016/j.optmat.2016.12.002

2. Sakhno O., Yezhov P., Hryn V., Rudenko V., Smirnova T. Optical and nonlinear properties of photonic polymer nanocomposites and holographic gratings modified with noble metal nanoparticles // Polymers. 2020. V. 12. № 2. P. 480. https://doi.org/10.3390/polym12020480

3. Nedelchev L., Mateev G., Strijkova V., Salgueiriño V., Schmool D.S., Berberova-Buhova N., Stoykova E., Nazarova D. Tunable polarization and surface relief holographic gratings in azopolymer nanocomposites with incorporated goethite (a-FeOOH) nanorods // Photonics. 2021. V. 8. № 8. P. 306. https://doi.org/10.3390/photonics8080306

4. Skrypka Ya., Kokars V., Traskovskis K., Ozols A., Augustovs P., Shumelyuk A., Odoulov S. Coherent beam amplification with dynamic holograms in glass-forming molecular azobenzene-based materials // Optics Continuum. 2022. V. 1. № 4. P. 885. https://doi.org/10.1364/OPTCON.451627

5. Rogers B., Mikulchyk T., Oubaha M., Cody D., Martin S., Naydenova I. Improving the holographic recording characteristics of a water-resistant photosensitive Sol–Gel for use in volume holographic optical elements // Photonics. 2022. V. 9. № 9. P. 636. https://doi.org/10.3390/photonics9090636

6. Ворзобова Н.Д., Соколов П.П. Формирование и свойства объемных и рельефных голографических решеток в фотополимерных материалах // Оптический журнал. 2023. Т. 90. № 3. С. 16−25. https://doi.org/10.17586/1023-5086-2023-90-03-16-25

Vorzobova N.D., Sokolov P.P. Formation and properties of volume and relief holographic gratings in photopolymer materials // Journal of Optical Technology. 2023. V. 90. № 3. P. 114−118. https://doi.org/10.1364/JOT.90.000114

7. Турухано Б.Г., Турухано Н., Турухано И.А. Запись голографических дифракционных решеток с помощью импульсного лазера // Наноиндустрия. 2021. Т. 14. № 5 (108). С. 312–320. https://doi.org/10.22184/1993-8578.2021.14.5.312.319

Turukhano B.G., Turukhano N., Turukhano I.A. Recording holographic diffraction gratings using a pulsed laser // Nanoindustry. 2021. V. 14. № 5 (108). P. 312–320. https://doi.org/10.22184/1993-8578.2021.14.5.312.319

8. Архипов А.В., Ганжерли Н.М., Гуляев С.Н., Маурер И.А. Рельефно-фазовые высокочастотные голографические решетки на содержащих желатин светочувствительных средах // Оптический журнал. 2023. Т. 90. № 3. С. 38−47. http://doi.org/10.17586/1023-5086-2023-90-03-38-47

Arkhipov A.V., Ganzherli N.М., Gulyaev S.N., Maurer I.A. High-frequency relief-phase holographic gratings on gelatin-containing photosensitive media // Journal of Optical Technology. 2023. V. 90. № 3. P. 125–130. https://doi.org/10.1364/JOT.90.000125

9. Reinfelde M., Teteris J., Grants R. Spectral dependence of photoinduced formation of surface relief gratings in amorphous chalcogenides // Chalcogenide Letters. 2020. V. 17. № 1. P. 19–23. https://doi.org/10.15251/cl.2020.171.19

10. Liu Z., Yang H., Li Y., Jiang S., Wang W., Song Y., Bayanheshig, Li W. Active control technology of a diffraction grating wavefront by scanning beam interference lithography // Optics Express. 2021. V. 29. № 23. P. 37066. https://doi.org/10.1364/OE.437593

11. Li Ch., Lu Ya., Wu S., Su Q.-t., Huang C.-w. Changing photo-written Bragg wavelengths of fiber gratings via one phase mask and four mirrors // Optics & Laser Technology. 2004. V. 36. № 6. P. 459−461. https://doi.org/10.1016/j.optlastec.2003.11.007

12. Стам А.М., Идрисов Р.Ф., Грибаев А.И., Варжель С.В., Коннов К.А., Сложеникина Ю.И. Запись волоконных решеток Брэгга с использованием интерферометра Тальбота и эксимерной KrF-лазерной системы // Известия ВУЗов. Приборостроение. 2017. Т. 60. № 5. С. 466–473. https://doi.org/10.17586/0021-3454-2017-60-5-466-473

Gribaev A.I., Varzhel S.V., Konnov K.A., Stam A.M., Idrisov R.F., Slozhenikina Yu.I. Fiber Bragg gratings inscription using Talbot interferometer and an KrF excimer laser system [in Russian] // Journal of Instrument Engineering. 2017. V. 60. № 5. P. 466–473. https://doi.org/10.17586/0021-3454-2017-60-5-466-473

13. Новикова В.А., Коннов К.А., Грибаев А.И., Варжель С.В. Способ формирования волоконной брэгговской решётки с фазовым сдвигом // Патент РФ № RU2676191C1. Бюл. 2018. № 36.

Novikova V.A., Konnov K.A., Gribaev A.I., Varzhel S.V. Method for forming a fiber Bragg grating with a phase shift // RF Patent № RU2676191C1. Bull. 2018. No. 36.

14. Грибаев А.И., Коннов К.А., Варжель С.В. Способ формирования массива волоконных решеток Брэгга с различными длинами волн отражения // Патент РФ № RU2690230C1. Бюл. 2019. № 16.

Gribaev A.I., Konnov K.A., Varzhel S.V. A method for forming an array of fiber Bragg gratings with different reflection wavelengths // RF Patent № RU2690230C1. Bull. 2019. № 16.

15. Zhang Z., Xu B., He J., Hou M., Bao W., Wang Y. High-efficiency inscription of fiber Bragg grating array with high-energy nanosecondpulsed laser Talbot interferometer // Sensors. 2020. V. 20. № 15. P. 4307. https://doi.org/10.3390/s20154307

16. Li Yu., Xu Zh., Wang L. Methods and apparatuses for manufacturing ultralong fiber Bragg gratings with arbitrary reflection wavelength // US Patent 2014/0204436 A1. 2014. Publ. July 24, 2014.

17. Куликова В.А., Варжель С.В., Дмитриев А.А., Майорова Е.А., Калязина Д.В., Куликов А.В. Устройство формирования волоконной решетки Брэгга с возможностью перестройки длины волны отражения // Патент РФ № RU2828253C1. Бюл. 2024. № 28.

Kulikova V.A., Varzhel S.V., Dmitriev A.A., Mayorova E.A., Kalyazina D.V., Kulikov A.V. Device for forming a fiber Bragg grating with the possibility of tuning the reflection wavelength // RF Patent № RU2828253C1. Bull. 2024. № 28.

18. Микерин С.Л., Угожаев В.Д. Перестраиваемый голографический интерферометр с неподвижными зеркалами на основе светоделительного кубика // Автометрия. 2012. Т. 48. № 4. С. 20–32.

Mikerin S.L., Ugozhaev V.D. Reconfigurable holographic interferometer with fixed mirrors // Optoelectronics, Instrumentation and Data Processing. 2012. V. 48. № 4. P. 341–350. https://doi.org/10.3103/S8756699012040036

19. Угожаев В.Д. Перестраиваемый вращением двухлучевой интерферометр с неподвижным фоточувствительным элементом. Ч. I. Интерферометр на основе светоделительного кубика // Автометрия. 2016. Т. 52. № 2. С. 57–65. https://doi.org/10.15372/AUT20160207

Ugozhaev V.D. Rotationally tunable two-beam interferometer with a fixed photosensitive element. Part I. Interferometer based on a beam-splitter cube // Optoelectronics, Instrumentation and Data Processing. 2016. V. 52. № 2. P. 153–160. https://doi.org/10.3103/S8756699016020072

20. Микерин С.Л., Угожаев В.Д. Анализ оптической схемы перестраиваемого интерферометра с точной фиксацией интерференционной решётки на неподвижном фоточувствительном образце // Оптический журнал. 2023. Т. 90. № 4. С. 92–104. https://doi.org/10.17586/1023-5086-2023-90-04-92-104

Mikerin S.L., Ugozhaev V.D. Analysis of the optical scheme of a tunable interferometer with exact fixation of the interference grating on a stationary photosensitive sample // Journal of Optical Technology. 2023. V. 90. № 4. P. 213−220. https://doi.org/10.1364/JOT.90.000213