ntvНаучно-технический вестник информационных технологий, механики и оптикиScientific and Technical Journal of Information Technologies, Mechanics and Optics2226-14942500-0373Университет ИТМО10.17586/2226-1494-2022-22-5-818-823ntv-45Research ArticleИЗБРАННЫЕ МАТЕРИАЛЫ XXXII ШКОЛЫ ПО ГОЛОГРАФИИ Часть IPROCEEDINGS OF THE XXXII SCHOOL ON HOLOGRAPHY Part IВлияние размерности, геометрии и ориентации наноструктур на распределение электрического поля в вопросах усиления комбинационного рассеяния светаInfluence of the dimension, geometry, and orientation of nanostructures on the distribution of the electric field in matters of enhancing of Raman scatteringhttps://orcid.org/0000-0003-2585-163XМатвееваК. И.MatveevaK. I.

Матвеева Карина Игоревна — младший научный сотрудник

Калининград, 236041

Karina I. Matveeva — Junior Researcher

sc 57200305996

Kaliningrad, 236041

matveeva.k.i@inbox.ruhttps://orcid.org/0000-0002-9766-1408ЗюбинА. Ю.ZyubinA. Yu.

Зюбин Андрей Юрьевич — кандидат физико-математических наук, старший научный сотрудник

Калининград, 236041

Andrey Yu. Zyubin — PhD (Physics & Mathematics), Senior Researcher

sc 57193159520

Kaliningrad, 236041

azubin@mail.ruhttps://orcid.org/0000-0003-3271-1635КонИ. И.KonI. I.

Кон Игорь Игоревич — младший научный сотрудник

Калининград, 236041

Igor I. Kon — Junior Researcher

sc 57218930458

Kaliningrad, 236041

 

IKon@kantiana.ruhttps://orcid.org/0000-0001-5026-7510СамусевИ. Г.SamusevI. G.

Самусев Илья Геннадьевич — кандидат физико-математических наук, директор Научно-образовательного центра «Фундаментальная и прикладная фотоника. Нанофотоника»

Калининград, 236041

Ilia G. Samusev — PhD (Physics & Mathematics), REC Head of the “Fundamental and Applied Photonics, Nanophotonics”

sc 12779220200

Kaliningrad, 236041

 

ISamusev@kantiana.ruБалтийский федеральный университет имени Иммануила КантаРоссияImmanuel Kant Baltic Federal UniversityRussian Federation202211122024225818823Copyright © Матвеева К.И., Зюбин А.Ю., Кон И.И., Самусев И.Г., 20242024Матвеева К.И., Зюбин А.Ю., Кон И.И., Самусев И.Г.Matveeva K.I., Zyubin A.Y., Kon I.I., Samusev I.G.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/45Предмет исследования

Предмет исследования. Выполнен анализ результатов численного моделирования зависимости напряженности электрического поля от размерности и геометрии золотых наноструктур и их ориентации относительно поляризации падающего излучения.

Метод

Метод. Моделирование напряженности электрического поля вблизи единичной наноструктуры осуществлено с применением метода конечных разностей во временной области (Finite-Difference Time-Domain, FDTD). FDTD-метод — эффективный теоретический способ исследования взаимодействия электромагнитной волны и плазмонных нанообъектов. Исследованы объекты — единичные золотые наностержни, имеющие различную геометрию (цилиндр, сфероцилиндр, вытянутый эллипсоид) и варьируемую полудлину (L = 10–120 нм). Источник излучения — плоскополяризованная волна (λ = 632 нм).

Основные результаты

Основные результаты. В результате проведенного моделирования определена локализация электрического поля вблизи наноструктур, а также получены максимальные теоретические значения напряженности ближнего электрического поля. Показано, что зависимость максимумов напряженности электрического поля от полудлины золотых наноструктур при их продольной ориентации имеет нелинейный характер.

Практическая значимость

Практическая значимость. Полученные теоретические расчеты напряженности электрического поля вблизи исследуемых плазмонных нанообъектов позволят в дальнейшем определить оптимальные параметры наночастиц и условия возбуждения плазмонного резонанса. В результате возможно создание оптических структур с высоким сигналом усиления комбинационного рассеяния света, детектируемого от исследуемых веществ, находящихся вблизи такой структуры.

The presented work reflects and analyzes the results of numerical simulation of the electric field strength dependence on the dimensionality and geometry of gold nanostructures as well as their orientation relative to the polarization of the incident radiation. The simulation of the electric field strength near a single nanostructure was performed using the Finite-Difference Time-Domain (FDTD) method. FDTD modeling is an effective theoretical way to study the interaction between electromagnetic waves and plasmonic nanoobjects represented by single gold nanorods with different geometry (cylinder, spherical cylinder, elongated ellipsoid) and variable half-length (L =10–120 nm). The radiation source was a plane-polarized wave (λ = 632 nm). As a result of the simulation, the localization of the electric field near the nanostructures has been determined and the maximum theoretical values of the near-field strength have been obtained. The dependence of the electric field strength maxima has been demonstrated to be nonlinear on the half-length of gold nanostructures in case of their longitudinal orientation to E-vector. The obtained theoretical calculations of the electric field strength near the plasmonic nanoparticles, including gold nanorods, allow us to determine the optimal nanoparticle parameters and excitation conditions for the plasmon resonance occurrence which in turn provides an opportunity to create SERS-structures with a high Raman scattering enhancement.

FDTD-моделированиеплазмонный резонанснаночастицынаностержниГКРСFDTD simulationplasmon resonancenanoparticlesnanorodsSERSРабота выполнена в рамках Соглашения с Минобрнауки России № 75-02-2022-872.The research was carried out within the state assignment of Ministry of Science and Higher Education of the Russian Federation No. 75-02-2022-872.ReferencesBrode W.R. Chemical Spectroscopy. John Wiley & Sons, 1939.Brode W.R. Chemical Spectroscopy. John Wiley & Sons, 1939.Sahu R.K., Mordechai S. Spectroscopic techniques in medicine: The future of diagnostics // Applied Spectroscopy Reviews. 2016. V. 51. N 6. P. 484–499. https://doi.org/10.1080/05704928.2016.1157809Sahu R.K., Mordechai S. Spectroscopic techniques in medicine: The future of diagnostics. Applied Spectroscopy Reviews, 2016, vol. 51, no. 6, pp. 484–499. https://doi.org/10.1080/05704928.2016.1157809Xia J., Zhu F., Bounds J., Aluauee E., Kolomenskii A., Dong Q., He J., Meadows C., Zhang S., Schuessler H. Spectroscopic trace gas detection in air-based gas mixtures: Some methods and applications for breath analysis and environmental monitoring // Journal of Applied Physics. 2022. V. 131. N 22. P. 220901. https://doi.org/10.1063/5.0091263Xia J., Zhu F., Bounds J., Aluauee E., Kolomenskii A., Dong Q., He J., Meadows C., Zhang S., Schuessler H. Spectroscopic trace gas detection in air-based gas mixtures: Some methods and applications for breath analysis and environmental monitoring. Journal of Applied Physics, 2022, vol. 131, no. 22, pp. 220901. https://doi.org/10.1063/5.0091263De Bleye C., Chavez P.-F., Mantanus J., Marini R., Hubert Ph., Rozet E., Ziemons E. Critical review of near-infrared spectroscopic methods validations in pharmaceutical applications // Journal of Pharmaceutical and Biomedical Analysis. 2012. V. 69. P. 125–132. https://doi.org/10.1016/j.jpba.2012.02.003De Bleye C., Chavez P.-F., Mantanus J., Marini R., Hubert Ph., Rozet E., Ziemons E. Critical review of near-infrared spectroscopic methods validations in pharmaceutical applications. Journal of Pharmaceutical and Biomedical Analysis, 2012, vol. 69, pp. 125–132. https://doi.org/10.1016/j.jpba.2012.02.003Хлебцов Н.Г. Оптика и биофотоника наночастиц с плазмонным резонансом // Квантовая электроника. 2008. Т. 38. № 6. С. 504– 529.Khlebtsov N.G. Optics and biophotonics of nanoparticles with a plasmon resonance. Quantum Electronics, 2008, vol. 38, no. 6, pp. 504–529. https://doi.org/10.1070/QE2008v038n06ABEH013829Boginskaya I., Gainutdinova A., Gusev A., Mailyan K., Mikhailitsyn A., Sedova M., Vdovichenko A., Ryzhikov I., Chvalun S., Lagarkov A. Detection of organic substances by a sers method using a special ag-poly(chloro-p-xylylene)-ag sandwich substrate // Coatings. 2020. V. 10. N 8. P. 799. https://doi.org/10.3390/coatings10080799Boginskaya I., Gainutdinova A., Gusev A., Mailyan K., Mikhailitsyn A., Sedova M., Vdovichenko A., Ryzhikov I., Chvalun S., Lagarkov A. Detection of organic substances by a sers method using a special ag-poly(chloro-p-xylylene)-ag sandwich substrate. Coatings, 2020, vol. 10, no. 8, pp. 799. https://doi.org/10.3390/coatings10080799Aitekenov S., Sultangaziyev A., Abdirova P., Yussupova L., Gaipov A., Utegulov Z., Bukasov R. Raman, Infrared and Brillouin spectroscopies of biofluids for medical diagnostics and for detection of biomarkers // Critical Reviews in Analytical Chemistry. 2022. in press. https://doi.org/10.1080/10408347.2022.2036941Aitekenov S., Sultangaziyev A., Abdirova P., Yussupova L., Gaipov A., Utegulov Z., Bukasov R. Raman, Infrared and Brillouin spectroscopies of biofluids for medical diagnostics and for detection of biomarkers. Critical Reviews in Analytical Chemistry, 2022, in press. https://doi.org/10.1080/10408347.2022.2036941Mandal P., Tewari B.S. Progress in surface enhanced Raman scattering molecular sensing: A review // Surfaces and Interfaces. 2022. V. 28. P. 101655. https://doi.org/10.1016/j.surfin.2021.101655Mandal P., Tewari B.S. Progress in surface enhanced Raman scattering molecular sensing: A review. Surfaces and Interfaces, 2022, vol. 28, pp. 101655. https://doi.org/10.1016/j.surfin.2021.101655Mosier-Boss P.A. Review of SERS substrates for chemical sensing // Nanomaterials. 2017. V. 7. N 6. P. 142. https://doi.org/10.3390/ nano7060142Mosier-Boss P.A. Review of SERS substrates for chemical sensing. Nanomaterials, 2017, vol. 7, no. 6, pp. 142. https://doi.org/10.3390/nano7060142Goncharov V.K., Kozadaev K.V., Mel’nikov K.A., Mikitchuk E.P., Novikov A.G. Atmospheric laser deposition of sers-active colloids of noble metals (Ag, Au, and Pt) // Journal of Engineering Physics and Thermophysics. 2018. V. 91. N 5. P. 1291–1295. https://doi.org/10.1007/s10891-018-1860-6Goncharov V.K., Kozadaev K.V., Mel’nikov K.A., Mikitchuk E.P., Novikov A.G. Atmospheric laser deposition of sers-active colloids of noble metals (Ag, Au, and Pt). Journal of Engineering Physics and Thermophysics, 2018, vol. 91, no. 5, pp. 1291–1295. https://doi.org/10.1007/s10891-018-1860-6Cao Y., Zhang J., Yang Y., Huang Z., Long N.V., Fu C. Engineering of SERS substrates based on noble metal nanomaterials for chemical and biomedical applications // Applied Spectroscopy Reviews. 2015. V. 50. N 6. P. 499–525. https://doi.org/10.1080/05704928.2014.923901Cao Y., Zhang J., Yang Y., Huang Z., Long N.V., Fu C. Engineering of SERS substrates based on noble metal nanomaterials for chemical and biomedical applications. Applied Spectroscopy Reviews, 2015, vol. 50, no. 6, pp. 499–525. https://doi.org/10.1080/05704928.2014.923901Procházka M. Surface-Enhanced Raman Spectroscopy // Biological and Medical Physics, Biomedical Engineering. Springer, 2016. 221 p. https://doi.org/10.1007/978-3-319-23992-7Procházka M. Surface-Enhanced Raman Spectroscopy. Biological and Medical Physics, Biomedical Engineering, Springer, 2016, 221 p. https://doi.org/10.1007/978-3-319-23992-7Zeng Z., Liu Y., Wei J. Recent advances in surface-enhanced Raman spectroscopy (SERS): Finite-difference time-domain (FDTD) method for SERS and sensing applications // TrAC Trends in Analytical Chemistry. 2016. V. 75. P. 162–173. https://doi.org/10.1016/j.trac.2015.06.009Zeng Z., Liu Y., Wei J. Recent advances in surface-enhanced Raman spectroscopy (SERS): Finite-difference time-domain (FDTD) method for SERS and sensing applications. TrAC Trends in Analytical Chemistry, 2016, vol. 75, pp. 162–173. https://doi.org/10.1016/j.trac.2015.06.009Hao F., Nordlander P. Efficient dielectric function for FDTD simulation of the optical properties of silver and gold nanoparticles // Chemical Physics Letters. 2007. V. 446. N 1-3. P. 115–118. https://doi.org/10.1016/j.cplett.2007.08.027Hao F., Nordlander P. Efficient dielectric function for FDTD simulation of the optical properties of silver and gold nanoparticles. Chemical Physics Letters, 2007, vol. 446, no. 1-3, pp. 115–118. https://doi.org/10.1016/j.cplett.2007.08.027Yang Z.L., Li Q., Ruan X., Li Z., Ren B., Xu H., Tian Z. FDTD for plasmonics: Applications in enhanced Raman spectroscopy // Chinese Science Bulletin. 2010. V. 55. N 24. P. 2635–2642. https://doi.org/10.1007/s11434-010-4044-0Yang Z.L., Li Q., Ruan X., Li Z., Ren B., Xu H., Tian Z. FDTD for plasmonics: Applications in enhanced Raman spectroscopy. Chinese Science Bulletin, 2010, vol. 55, no. 24, pp. 2635–2642. https://doi.org/10.1007/s11434-010-4044-0Schneider J.B. Understanding the Finite-Difference Time-Domain Method. School of electrical engineering and computer science Washington State University, 2010.Schneider J.B. Understanding the Finite-Difference Time-Domain Method. School of electrical engineering and computer science Washington State University, 2010.Rafiee M., Chandra S., Ahmed H., McCormack S.J. Optimized 3D finite-difference-time-domain algorithm to model the plasmonic properties of metal nanoparticles with near-unity accuracy // Chemosensors. 2021. V. 9. N 5. P. 114. https://doi.org/10.3390/chemosensors9050114Rafiee M., Chandra S., Ahmed H., McCormack S.J. Optimized 3D finite-difference-time-domain algorithm to model the plasmonic properties of metal nanoparticles with near-unity accuracy // Chemosensors. 2021. V. 9. N 5. P. 114. https://doi.org/10.3390/chemosensors9050114Grand J., Adam P.-M., Grimault A.-S., Vial A., Lamy de la Chapelle M., Bijeon J.-L., Kostcheev S., Royer P. Optical extinction spectroscopy of oblate, prolate and ellipsoid shaped gold nanoparticles: experiments and theory // Plasmonics. 2006. V. 1. N 2-4. P. 135–140. https://doi.org/10.1007/s11468-006-9014-7Grand J., Adam P.-M., Grimault A.-S., Vial A., Lamy de la Chapelle M., Bijeon J.-L., Kostcheev S., Royer P. Optical extinction spectroscopy of oblate, prolate and ellipsoid shaped gold nanoparticles: experiments and theory // Plasmonics. 2006. V. 1. N 2-4. P. 135–140. https://doi.org/10.1007/s11468-006-9014-7Xu J., Kvasnička P., Idso M., Jordan R.W., Gong H., Homola J., Yu Q. Understanding the effects of dielectric medium, substrate, and depth on electric fields and SERS of quasi-3D plasmonic nanostructures // Optics express. 2011. V. 19. N 21. P. 20493–20505. https://doi.org/10.1364/OE.19.020493Xu J., Kvasnička P., Idso M., Jordan R.W., Gong H., Homola J., Yu Q. Understanding the effects of dielectric medium, substrate, and depth on electric fields and SERS of quasi-3D plasmonic nanostructures // Optics express. 2011. V. 19. N 21. P. 20493–20505. https://doi.org/10.1364/OE.19.020493Ладутенко К.С., Белов П.А. Моделирование интегральных схем нанофотоники: метод FDTD // Наносистемы: физика, химия, математика. 2012. Т. 3. № 5. С. 44–64.Ladutenko K.S., Belov P.A. Nanophotonics integrated circuits simulation: FDTD method. Nanosystems: Physics, Chemistry, Mathematics, 2012, vol. 3, no. 5, pp. 44–64. (in Russian)Cheng Y., Chen G., Wang X.-H., Yang S. Analytical investigations on FDTD numerical dispersion // Proc. of the IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO). 2020. P. 9343614. https://doi.org/10.1109/NEMO49486.2020.9343614Cheng Y., Chen G., Wang X.-H., Yang S. Analytical investigations on FDTD numerical dispersion. Proc. of the IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO), 2020, pp. 9343614. https://doi.org/10.1109/NEMO49486.2020.9343614Ross M.B., Blaber M.G., Schatz G.C. Using nanoscale and mesoscale anisotropy to engineer the optical response of three-dimensional plasmonic metamaterials // Nature Communications. 2014. V. 5. P. 4090. https://doi.org/10.1038/ncomms5090Ross M.B., Blaber M.G., Schatz G.C. Using nanoscale and mesoscale anisotropy to engineer the optical response of three-dimensional plasmonic metamaterials. Nature Communications, 2014, vol. 5, pp. 4090. https://doi.org/10.1038/ncomms5090Bedics M.A., Kearns H., Cox J.M., Mabbott S., Ali F., Shand N.C., Faulds K., Benedict J.B., Graham D., Detty M.R. Extreme red shifted SERS nanotags // Chemical Science. 2015. V. 6. N 4. P. 2302–2306. https://doi.org/10.1039/C4SC03917CBedics M.A., Kearns H., Cox J.M., Mabbott S., Ali F., Shand N.C., Faulds K., Benedict J.B., Graham D., Detty M.R. Extreme red shifted SERS nanotags. Chemical Science, 2015, vol. 6, no. 4, pp. 2302–2306. https://doi.org/10.1039/C4SC03917CKon I.I., Zyubin A.Y., Seteikin A.Y., Samusev I.G. FDTD simulations field on gold nanoparticles and silver nanorods // Proceedings of SPIE. 2021. V. 11904. P. 119041I. https://doi.org/10.1117/12.2602518Kon I.I., Zyubin A.Y., Seteikin A.Y., Samusev I.G. FDTD simulations field on gold nanoparticles and silver nanorods. Proceedings of SPIE, 2021, vol. 11904, pp. 119041I. https://doi.org/10.1117/12.2602518Zeng Z., Quan X., Yu X., Chen S., Zhang S. Nanoscale lightning rod effect in 3D carbon nitride nanoneedle: Enhanced charge collection and separation for efficient photocatalysis // Journal of Catalysis. 2019. V. 375. P. 361–370. https://doi.org/10.1016/j.jcat.2019.06.019Zeng Z., Quan X., Yu X., Chen S., Zhang S. Nanoscale lightning rod effect in 3D carbon nitride nanoneedle: Enhanced charge collection and separation for efficient photocatalysis. Journal of Catalysis, 2019, vol. 375, pp. 361–370. https://doi.org/10.1016/j.jcat.2019.06.019Nicoletti O., Wubs M., Mortensen N.A., Sigle W., van Aken P.A., Midgley P.A. Surface plasmon modes of a single silver nanorod: an electron energy loss study // Optics Express. 2011. V. 19. N 16. P. 15371–15379. https://doi.org/10.1364/OE.19.015371Nicoletti O., Wubs M., Mortensen N.A., Sigle W., van Aken P.A., Midgley P.A. Surface plasmon modes of a single silver nanorod: an electron energy loss study. Optics Express, 2011, vol. 19, no. 16, pp. 15371–15379. https://doi.org/10.1364/OE.19.015371

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