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Diffraction analysis by periodic structures using a method of coupled waves

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Języki publikacji
EN
Abstrakty
EN
The coupled-wave method (CWM) has been used to analyse diffraction on some periodic structures, i.e., on relief gratings including metallized ones having sinusoidal relief as well as on one-dimensional and two-dimensional photonic crystals. Exact boundary conditions were taken into account in numerical calculations. Grating polarizers have been analysed, properties of dielectric gratings wherein coupled-mode resonance occurs have been studied, diffraction efficiency has been calculated for sinusoidal relief metallized gratings. Calculations were carried out for TE and TM polarizations. Band structure of a two-dimensional photonic crystal has been calculated using CWM.
Twórcy
autor
  • Lviv Polytechnic National University, 12 Bandera Str., 79013 Lviv, Ukraine
  • Lviv Polytechnic National University, 12 Bandera Str., 79013 Lviv, Ukraine
  • Institute of Technology, University of Rzeszów, 16a Rejtana Str., 35-959 Rzeszów, Poland
Bibliografia
  • 1. L. Solymar and D.J. Cooke, Volume Holography and Volume Gratings, Academic Press, London, 1981.
  • 2. J.D. Joannopoulis, R.D. Meade, and J.N. Winn, Photonic Crystals: Molding the Flow of Light, Princeton University Press, 1995.
  • 3. H. Kogelnik, "Coupled wave theory for thick hologram gratings", Bell Syst. Tech. J. 48, 2209-2047 (1969).
  • 4. K. Knop, "Rigorous diffraction theory for transmission phase gratings with deep rectangular grooves", J. Opt. Soc. Am. 68, 1206-1210 (1978).
  • 5. T.K. Gaylord and M.G. "Moharam, Analysis and applications of optical diffraction by grating", Proc. IEEE 73, 894-937 (1985).
  • 6. M.G. Moharam and T.K. Gaylord, "Chain-matrix analysis of arbitrary-thickness dielectric reflection gratings", J. Opt. Soc. Am. 72, 187-190 (1982).
  • 7. M.G. Moharam, D.A. Pommet, E.B. Grann, and T.K Gaylord, "Stable implementation of the rigorous coupled-wave analysis for surface-relieve dielectric gratins: enhanced transmittance matrix approach", J. Opt. Soc. Am. A12, 1077-1086 (1995).
  • 8. M.G. Moharam and T.K Gaylord, "Rigorous coupled-wave analysis of metallic surface-relief gratings", J. Opt. Soc. Am. A3, 1780-1787 (1986).
  • 9. L. Li and C.W. Haggans, "Convergence of the coupled-wave method for metallic lamellar diffraction gratings", J. Opt. Soc. Am. A10, 1184-1189 (1993).
  • 10. M.G Moharam, E.B. Grann, D.A. Pommet, and T.K Gaylord, "Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratins", J. Opt. Soc. Am. A13, 1068-1077 (1996).
  • 11. L. Li, "Use of Fourier series in the analysis of discontinuous periodic structures", J. Opt. Soc. Am. A12, 1870-1876 (1995).
  • 12. V.M. Fitio and Y.V. Bobitski, "Diffraction of TE and TM polarization optical waves by non-absorptive media with periodical variation of the dielectric constant. I. Systems of differential equations", Ukrainian J. Phys. 48, 914-920 (2003).
  • 13. V.M. Fitio and Ya. V. Bobitski, "Diffraction of TE and TM polarization optical waves by non-absorptive media with periodical variation of the dielectric constant. II. Analysis of diffraction of optical waves by non-absorbtive volume gratings", Ukrainian J. Phys. 48, 1046-1054 (2003).
  • 14. L. Li, "Formulation and comparison of two recursive matrix algorithms for modelling layered diffraction gratings", J. Opt. Soc. Am. A13, 1024-1035 (1996).
  • 15. J. Turunen, "Form-birevringence limits of Fourier-expansion methods in grating theory", J. Opt. Soc. Am. A13, 1013-1018 (1996).
  • 16. Ph. Lalanne and G.M. Morris, "Highly improved convergence of the coupled-wave method for TM polarization", J. Opt. Soc. Am. A13, 779-784 (1996).
  • 17. G. Granet and B. Guizal, "Efficient implementation of the coupled-wave method for metalic lammeral gratings in TM polarization", J. Opt. Soc. Am. A13, 1019-1023 (1996).
  • 18. E. Popov and M. Navière, "Grating theory: new equation in Fourier space leading to fast converging results for TM polarisation", J. Opt. Soc. Am. A17, 1773-1784 (2000).
  • 19. J. Candezon, D. Maystre, and G. Raoult, "A new theoretical method for diffraction gratings and its numerical application", J. Opt. (Paris) 11, 235-241 (1980).
  • 20. T. Vallius, "Comparing the Fourier modal method with the C method: analysis of conducting multilevel gratings in TM-polarization", J. Opt. Soc. Am. A19, 1555-1562 (2002).
  • 21. B. Schnabel, E.B. Kley, and F. Wyrowski, "Study on polarising visible light by subwavelength-period metal-stripe gratings", Opt. Eng. 38, 220-226 (1999).
  • 22. Y. Nie, Zh. Wang, K. Fu, C. Zhou, and Q. Zhang, "Polarizing beamsplitter based on the effects of birefringent and resonance anomaly", Opt. Eng. 41, 674-679 (2002).
  • 23. D. Shin, S. Tibuleas, T. Maldonado, and R. Magnusson, "Thin-film optical filters with diffractive elements and waveguides", Opt. Eng. 37, 2634-2646 (1998).
  • 24. Y. Nie, L. Wang, Z. Wang, and C. Lai, "Beam selector dependent on incident angle by guided-mode resonant subwavelength grating", Opt. Eng. 41, 2966-2969 (2002).
  • 25. A. Mizutani, H. Kikuta, K. Ivata, and H. Toyota, "Guidedmode resonant grating filter with an antireflection structured surface", J. Opt. Soc. Am. A19, 1346-1351 (2002).
  • 26. A.L. Fehrembach, D. Maystre, and A. Sentenas, "Phenomenological theory of filtering by resonant dielectric gratings", J. Opt. Soc. Am. A19, 1136-1144 (2002).
  • 27. L. Li and J. "Chandenzon, Improvement of the coordinate transformation method for surface-relief gratings with sharp edges", J. Opt. Soc. Am. A13, 2247-2255 (1996).
  • 28. H.S. Sozur, J.W. Haus, and R. Inguva, "Photonics bands: Convergence problems with the plane-wave method", Phys. Rev. B45, 13962-13972 (1991).
  • 29. R.D. Meade, A.M. Rappe, K.D. Brommer, J.D. Joannopoulos, and O.L. Alerhand, "Accurate theoretical analysis of photonics band-gap materials", Phys. Rev. B48, 8434-8437 (1993).
  • 30. L.D. Landau and Y.M. Lifshic, Electrodynamics of Continuous Media, Nauka, Moscov, 1982. (in Russian).
  • 31. L.S. Pontryagin, Ordinary Differential Equations, Nauka, Moscov, 1974. (in Russian).
  • 32. Richardson Grating Laboratory, Diffraction Grating, Catalogue, 2001.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWA0-0004-0089
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