Application of the three-dimensional aperiodic Fourier modal method using arc elements in curvilinear coordinates

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 29, Issue 3, 2012, Pages 367-373

  Bucci, Davide ^a   Martin, Bruno ^b   Morand, Alain ^a  

^a IMEP LAHC   (France)

^b LABORATOIRE D ASTROPHYSIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC LOSSES; FINITE DIFFERENCE TIME DOMAIN METHOD; MODAL ANALYSIS; REFRACTIVE INDEX; SILICA;

1550 NM; ARBITRARY DISTRIBUTION; BENDING LOSS; BENDING RADIUS; CURVILINEAR COORDINATE; CYLINDRICAL COORDINATES; FDTD SIMULATIONS; FINITE-DIFFERENCE TIME-DOMAIN (FDTD) METHODS; FOURIER MODAL METHOD; KEY CHARACTERISTICS; SILICON CORES;

LASER RESONATORS;

EID: 84857837679     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.29.000367     Document Type: Article

References (21)

1. P. Lalanne and E. Silberstein, "Fourier-modal methods applied to waveguide computational problems," Opt. Lett. 25, 1092-1094 (2000).
2. E. Silberstein, P. Lalanne, J. Hugonin, and Q. Cao, "Use of grating theories in integrated optics," J. Opt. Soc. Am. A 18, 2865-2875 (2001).
3. M. Moharam and T. Gaylord, "Rigorous coupled-wave analysis of planar-grating diffraction," J. Opt. Soc. Am. A 71, 811-818 (1981). (Pubitemid 12444661)
4. A. Armaroli, A. Morand, P. Benech, G. Bellanca, and S. Trillo, "Three-dimensional analysis of cylindrical microresonators based on the aperiodic Fourier modal method," J. Opt. Soc. Am. A 25, 667-675 (2008). (Pubitemid 351736198)
5. D. Bucci, B. Martin, and A. Morand, "Study of propagation modes of bent waveguides and micro-ring resonators by means of the aperiodic Fourier modal method," Proc. SPIE 7597, 75970U (2010).
6. O. El Daif, E. Drouard, G. Gomard, Y. Park, A. Kaminski, A. Fave, M. Lemiti, X. Letartre, P. Viktorovitch, S. Ahn, H. Jeon, and C. Seassal, "Photonic band-engineering absorption enhancement of amorphous silicon for solar cells," Proc. SPIE 7411, 74110O (2009).
7. M. Pisarenco, J. Maubach, I. Setija, and R. Mattheij, "Aperiodic Fourier modal method in contrast-field formulation for simulation of scattering from finite structures," J. Opt. Soc. Am. A 27, 2423-2431 (2010).
8. M. Heiblum and J. Harris, "Analysis of curved optical waveguides by conformal transformation," IEEE J. Quantum Electron. 11, 75-83 (1975).
9. B. Martin, A. Morand, P. Benech, G. Grosa, P. Kern, L. Jocou, and E. Le Coarer, "Realization of the compact static Fourier transform spectrometer LLIFTS in glass integrated optics," Opt. Lett. 34, 2291-2293 (2009).
10. J. Hugonin and P. Lalanne, "Perfectly matched layers as nonlinear coordinate transforms: a generalized formalization," J. Opt. Soc. Am. A 22, 1844-1849 (2005). (Pubitemid 41372911)
11. P. Lalanne and G. M. Morris, "Highly improved convergence of the coupled-wave method for TM polarization," J. Opt. Soc. Am. A 13, 779-784 (1996). (Pubitemid 126576933)
12. L. Li, "Use of Fourier series in the analysis of discontinuous periodic structures," J. Opt. Soc. Am. A 13, 1870-1876 (1996). (Pubitemid 126548544)
13. P. Lalanne, "Improved formulation of the coupled-wave method for two-dimensional gratings," J. Opt. Soc. Am. A 14, 1592-1598 (1997). (Pubitemid 127581576)
14. M. G. Moharam, E. B. Grann, and D. A. Pommet, "Formulation for stable and efficient implementation of the rigorous coupledwave analysis of binary gratings," J. Opt. Soc. Am. A 12, 1068-1076 (1995).
15. J. Hench and Z. Strakoš, "The RCWA method-a case study with open questions and perspectives of algebraic computations," Electron. Trans. Numer. Anal. 31, 331-357 (2008).
16. L. Li, "Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings," J. Opt. Soc. Am. A 13, 1024-1035 (1996). (Pubitemid 126574821)
17. E. Popov, M. Nevière, B. Gralak, and G. Tayeb, "Staircase approximation validity for arbitrary-shaped gratings," J. Opt. Soc. Am. A 19, 33-42 (2002).
18. P. Lalanne and M. P. Jurek, "Computation of the near-field pattern with the coupled-wave method for transverse magnetic polarization," J. Mod. Opt. 45, 1357-1374 (1998). (Pubitemid 128591904)
19. L. Li, "New formulation of the Fourier modal method for crossed surface-relief gratings," J. Opt. Soc. Am. A 14, 2758-2767 (1997). (Pubitemid 127576891)
20. T. Schuster, J. Ruoff, N. Kerwien, S. Rafler, and W. Osten, "Normal vector method for convergence improvement using the RCWA for crossed gratings," J. Opt. Soc. Am. A 24, 2880-2890 (2007). (Pubitemid 350162021)
21. S. Rafler, P. Gtz, M. Petschow, T. Schuster, K. Frenner, and W. Osten, "Investigation of methods to set up the normal vector field for the differential method," Proc. SPIE 6995, 69950Y (2008).