О применении метода Фурье-мод к расчёту локализованных мод интегральных оптических резонаторов

Автор: Быков Дмитрий Александрович, Досколович Леонид Леонидович

Журнал: Компьютерная оптика @computer-optics

Рубрика: Дифракционная оптика, оптические технологии

Статья в выпуске: 5 т.39, 2015 года.

Бесплатный доступ

Предложено обобщение метода фурье-мод, предназначенное для расчёта локализованных мод интегральных оптических резонаторов. Метод позволяет рассчитывать комплексные частоты и распределение поля мод. Рассчитаны моды двумерного прямоугольного резонатора на металлической подложке.

Резонатор, метод фурье-мод, мода, резонанс, магнитооптический эффект

Короткий адрес: https://sciup.org/14059408

IDR: 14059408   |   DOI: 10.18287/0134-2452-2015-39-5-663-673

Список литературы О применении метода Фурье-мод к расчёту локализованных мод интегральных оптических резонаторов

  • Tikhodeev, S.G. Quasiguided modes and optical properties of photonic crystal slabs/S.G. Tikhodeev, A.L. Yablonskii, E.A. Muljarov, N.A. Gippius, T. Ishihara//Physical Review B: Condensed Matter and Materials Physics. -2002. -Vol. 66(4). -P. 045102. -DOI: DOI: 10.1103/PhysRevB.66.045102
  • Gippius, N.A. Optical properties of photonic crystal slabs with an asymmetrical unit cell/N.A. Gippius, S.G. Tikhodeev, T. Ishihara//Physical Review B: Condensed Matter and Materials Physics. -2005. -Vol. 72(4). -P. 045138. -DOI: DOI: 10.1103/PhysRevB.72.045138
  • Weiss, T. Derivation of plasmonic resonances in the Fourier modal method with adaptive spatial resolution and matched coordinates/T. Weiss, N.A. Gippius, S.G. Tikhodeev, G. Granet, H. Giessen//Journal of the Optical Society of America A. -2011. -Vol. 28(2). -P. 238-244. -DOI: DOI: 10.1364/JOSAA.28.000238
  • Belotelov, V.I. Fabry-Perot plasmonic structures for nanophotonics/V.I. Belotelov, A.N. Kalish, A.K. Zvezdin, A.V. Gopal, A.S. Vengurlekar//Journal of the Optical Society of America B -2012. -Vol. 29(3). -P. 294-299. -DOI: DOI: 10.1364/JOSAB.29.000294
  • Bykov, D.A. Magneto-optical resonances in periodic dielectric structures magnetized in plane/D.A. Bykov, L.L. Doskolovich//Journal of Modern Optics. -2010. -Vol. 57(17). -P. 1611-1618. -DOI: DOI: 10.1080/09500340.2010.514074
  • Bykov, D.A. Numerical methods for calculating poles of the scattering matrix with applications in grating theory/D.A. Bykov, L.L. Doskolovich//Journal of Lightwave Technology. -2013. -Vol. 31(5). -P. 793-801. -DOI: DOI: 10.1109/JLT.2012.2234723
  • Moharam, M.G. Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings/M.G. Moharam, E.B. Grann, D.A. Pommet, T.K. Gaylord//Journal of the Optical Society of America A. -1995. -Vol. 12(5). -P. 1068-1076. -DOI: DOI: 10.1364/JOSAA.12.001068
  • Silberstein, E. Use of grating theories in integrated optics/E. Silberstein, P. Lalanne, J.-P. Hugonin, Q. Cao//Journal of the Optical Society of America A. -2001. -Vol. 18(11). -P. 2865-2875. -DOI: DOI: 10.1364/JOSAA.18.002865
  • Hugonin, J.-P. Perfectly matched layers as nonlinear coordinate transforms: a generalized formalization/J.-P. Hugonin, P. Lalanne//Journal of the Optical Society of America A. -2005. -Vol. 22(9). -P. 1844-1849. -DOI: DOI: 10.1364/JOSAA.22.001844
  • Mandelshtam, V.A. Harmonic inversion of time signals and its applications/V.A. Mandelshtam, H.S. Taylor//The Journal of Chemical Physics. -1997. -Vol. 107(17). -P. 6756-6769. -DOI: DOI: 10.1063/1.475324
  • Vallius, T. Electromagnetic field computation in semiconductor laser resonators/T. Vallius, J. Tervo, P. Vahimaa, J. Turunen//Journal of the Optical Society of America A. -2006. -Vol. 23(4). -P. 906-911. - DOI: 10.1364/JOSAA.23.000906
  • Armaroli, A. Three-dimensional analysis of cylindrical microresonators based on the aperiodic Fourier modal method/A. Armaroli, A. Morand, P. Benech, G. Bellanca, S. Trillo//Journal of the Optical Society of America A. -2008. -Vol. 25(3). -P. 667-675. - DOI: 10.1364/JOSAA.25.000667
  • Li, L. Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings/L. Li//Journal of the Optical Society of America A. -1996. -Vol. 13(5). -P. 1024-1035. - DOI: 10.1364/JOSAA.13.001024
  • Bykov, D.A. Single-resonance diffraction gratings for time-domain pulse transformations: integration of optical signals/D.A. Bykov, L.L. Doskolovich, V.A. Soifer//Journal of the Optical Society of America A. -2012. -Vol. 29(8). -P. 1734-1740. - DOI: 10.1364/JOSAA.29.001734
  • Дифракционная оптика и нанофотоника/Е.А. Безус, Д.А. Быков, Л.Л. Досколович, А.А. Ковалёв, В.В. Котляр, А.Г. Налимов, А.П. Порфирьев, Р.В. Скиданов, В.А. Сойфер, С.С, Стафеев, С.Н. Хонина; под ред. В.А. Сойфера. -Москва: Физматлит, 2014. -608 с. -ISBN: 978-5-9221-1571-1.
  • Moharam, M.G. Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: enhanced transmittance matrix approach/M.G. Moharam, D.A. Pommet, E.B. Grann, T.K. Gaylord//Journal of the Optical Society of America A. -1995. -Vol. 12(5). -P. 1077-1086. - DOI: 10.1364/JOSAA.12.001068
  • Li, L. Use of Fourier series in the analysis of discontinuous periodic structures/L. Li//Journal of the Optical Society of America A. -1996. -Vol. 13(9). -P. 1870-1876. -DOI: 10.1364/JOSAA.13.001870.
  • Kuhn, H.W. The Hungarian method for the assignment problem/H.W. Kuhn//Naval research logistics quarterly. -1955. -Vol. 2(1-2). -P. 83-97. - DOI: 10.1002/nav.3800020109
  • Kirilenko, A.A. Connection of S-matrix of waveguide and periodical structures with complex frequency spectrum/A.A. Kirilenko, B.G. Tysik//Electromagnetics. -1993. -Vol. 13(3). -P. 301-318. - DOI: 10.1080/02726349308908352
  • Rakic, A.D. Optical properties of metallic films for vertical-cavity optoelectronic devices/A.D. Rakic, A.B. Djurišic, J.M. Elazar, M.L. Majewski//Applied Optics. -1998. -Vol. 37(22). -P. 5271-5283. - DOI: 10.1364/AO.37.005271
  • Liu, H. Surface lasmon generation by subwavelength isolated objects/H. Liu, P. Lalanne, X. Yang, J.-P. Hugonin//Selected Topics in Quantum Electronics, IEEE Journal of. -2008. -Vol. 14(6). -P. 1522-1529. - DOI: 10.1109/JSTQE.2008.923291
  • Bykov, D.A. Controlling the surface lasmon excitation efficiency using dielectric magneto-optical cavity/D.A. Bykov, L.L. Doskolovich//Journal of Optics. -2014. -Vol. 16(8). -P. 085001. - DOI: 10.1088/2040-8978/16/8/085001
  • MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method/A.F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J.D. Joannopoulos, S.G. Johnson//Computer Physics Communications -2010. -Vol. 181. -P. 687-702. - DOI: 10.1016/j.cpc.2009.11.008
  • Zvezdin, A.K. Modern Magnetooptics and Magnetooptical Materials/A.K. Zvezdin, V.A. Kotov. -Bristol and Philadelphia: IOP Publishing, 1997. -386 pp.
  • Rosenkrantz de Lasson, J. A Bloch mode expansion approach for analyzing quasi-normal modes in open nanophotonic structures/J. Rosenkrantz de Lasson, P.T. Kristensen, J. Mørk, N. Gregersen//META'14: The 5th International Conference on Metamaterials, Photonic Crystals and Plasmonics, Book of Abstracts (2014, May 20-23). -Sharjah: United Arab Emirates, 2014. -P. 645-647.
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