Calculation of fully anisotropic liquid crystal waveguide modes

Journal of Lightwave Technology

Volumn 27, Issue 17, 2009, Pages 3812-3819

  Beeckman, Jeroen ^a,b   James, Richard ^c   Fernández, F Aníbal ^c   De Cort, Wout ^a   Vanbrabant, Pieter J M ^a,b   Neyts, Kristiaan ^a  

^a GHENT UNIVERSITY   (Belgium)

^b RESEARCH FOUNDATION FLANDERS FWO   (Belgium)

^c UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Finite element mode solver; Nematic liquid crystal; Optical waveguides

Indexed keywords

ACCURATE ANALYSIS; ANISOTROPIC LIQUIDS; CRYSTAL WAVEGUIDES; FINITE-ELEMENT; FINITE-ELEMENT MODE SOLVER; LOW VOLTAGES; MODE SOLVERS; WAVEGUIDE TUNING;

ANISOTROPY; INTEGRATED OPTOELECTRONICS; LIGHT SOURCES; LIGHT TRANSMISSION; LIQUID CRYSTALS; NEMATIC LIQUID CRYSTALS; OPTICAL COMMUNICATION; OPTICAL WAVEGUIDES; WAVEGUIDES;

LIQUIDS;

EID: 69249185776     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2009.2016673     Document Type: Article

References (40)

1. N. Clark and M. Handshy, "Surface-stabilized ferroelectric liquid-crystal electro-optic waveguide switch," Appl. Phys. Lett. vol. 57, pp. 1852-1854, 1990.
2. A. d'Alessandro and R. Asquini, "Liquid crystal devices for photonic switching applications: State of the art and future developments," Mol. Cryst. Liq. Cryst., vol. 398, pp. 207-221, 2003.
3. H. Desmet, W. Bogaerts, A. Adamski, J. Beeckman, K. Neyts, and R. Baets, "Silicon-on-insulator optical waveguides with liquid crystal cladding for switching and tuning," in Proc. ECOC, 2003, vol. 3, pp. 430-431.
4. L. Sirleto, G. Coppola, and G. Breglio, "Optical multimode interference router based on a liquid crystal waveguide," J. Opt. A: Pure Appl. Opt., vol. 5, pp. S298-S304, 2003.
5. C. Gizzi, R. Asquini, and A. d'Alessandro, "A polarization independent liquid crystal assisted vertical coupler switch," Mol. Cryst. Liq. Cryst., vol. 421, pp. 95-105, 2004.
6. A. d'Alessandro, B. Bellini, D. Donisi, R. Beccherelli, and R. Asquini, "Nematic liquid crystal optical channel waveguides on silicon," IEEE J. Quantum Electron., vol. 42, no. 9-10, pp. 1084-1090, Sep. 2006.
7. A. Fratalocchi, R. Asquini, and G. Assanto, "Integrated electro-optic switch in liquid crystals," Opt. Exp., vol. 13, pp. 32-36, 2005.
8. S. V. Serak, N. V. Tabiryan, M. Peccianti, and G. Assanto, "Spatial soliton all-optical logic gates," IEEE Photon. Technol. Lett., vol. 18, no. 9-12, pp. 1287-1289, May 2006.
9. J. Beeckman, K. Neyts, and M. Haelterman, "Patterned electrode steering of nematicons," J. Opt. A: Pure Appl. Opt., vol. 8, pp. 214-220, 2006.
10. J. Henninot, M. Debailleul, R. Asquini, A. d'Alessandro, and M. Warenghem, "Self-waveguiding in an isotropic channel induced in dye doped nematic liquid crystal and a bent self-waveguide," J. Opt. A: Pure Appl. Opt., vol. 6, pp. 315-323, 2004.
11. R. James, E.Willman, F. A. Fernández, and S. E. Day, "Finite-element modeling of liquid-crystal hydrodynamics with a variable degree of order," IEEE Trans. Electron Dev., vol. 53, no. 7, pp. 1575-1582, Jul. 2006.
12. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, ser. International Series of Monographs on Physics. Oxford, U.K.: Oxford Univ. Press, 1995.
13. R. Asquini and A. d'Alessandro, "Bpm analysis of an integrated optical switch using polymeric optical waveguides and ssflc at 1.55 μm," Mol. Cryst. Liq. Cryst, vol. 375, pp. 243-247, 2002.
14. G. Ntogari, D. Tsipouridou, and E. Kriezis, "A numerical study of optical switches and modulators based on ferroelectric liquid crystals," J. Opt. A: Pure Appl. Opt., vol. 7, pp. 82-87, 2005.
15. E. Gros and L. Dupont, "Beam deflector using double-refraction in ferroelectric liquid crystal waveguides," Ferroelectrics, vol. 246, pp. 219-226, 2000.
16. J. Beeckman, K. Neyts, X. Hutsebaut, C. Cambournac, and M. Haelterman, "Simulation of 2-D lateral light propagation in nematic-liquid-crystal cells with tilted molecules and nonlinear reorientational effect," Opt. Quant. Electron., vol. 35, pp. 95-106, 2005.
17. J. Beeckman, K. Neyts, X. Hutsebaut, and M. Haelterman, "Observation of out-coupling of a nematicon," Opto-Electron. Rev., vol. 14, no. 4, pp. 263-267, 2006, 12.
18. S. Selleri, L. Vincetti, A. Cucinotta, and M. Zoboli, "Complex FEM modal solver of optical waveguides with PML boundary conditions," Opt. Quant. Electron., vol. 33, pp. 359-371, 2001.
19. A. Fallahkhair, S. Li, and T. Murphy, "Vector finite difference mode-solver for anisotropic dielectric waveguides," J. Lightw. Technol., vol. 26, no. 11, pp. 1423-1431, Jun.1 2008.
20. L. Valor and J. Zapata, "An efficient finite element formulation to analyze waveguides with lossy inhomogeneous bi-anisotropic materials," IEEE Trans. Microw. Theory Tech., vol. 44, no. 2, pp. 291-296, Feb. 1996.
21. S. Hsu, M. Chen, and H. Chang, "Investigation of band structures for 2D non-diagonal anisotropic photonic crystals using a finite element method based eigenvalue algorithm," Opt. Exp., vol. 15, pp. 5416-5430, 2007.
22. V. Schulz, "Adjoint high-order vectorial finite elements for nonsymmetric transversally anisotropic waveguides," IEEE Trans. Microw. Theory Tech., vol. 51, no. 4, pp. 1086-1095, Apr. 2003.
23. F. Bertazzi, O. Peverini, M. Goano, G. Ghione, R. Orta, and R. Tascone, "A fast reduced-order model for the full-wave fem analysis of lossy inhomogeneous anisotropic waveguides," IEEE Trans. Microw. Theory Tech., vol. 50, no. 9, pp. 2108-2114, Sep. 2002.
24. P. Savi, I. Gheorma, and R. Graglia, "Full-wave high-order FEM model for lossy anisotropic waveguides," IEEE Trans. Microw. Theory Tech. vol. 50, no. 2, pp. 495-500, Feb. 2002.
25. Y. Lu and F. A. Fernandez, "An efficient finite element solution of inhomogeneous anisotropic and lossy dielectric waveguides," IEEE Trans. Microw. Theory Tech., vol. 41, no. 6, pp. 1215-1223, Jun./Jul. 1993.
26. J. A. M. Svedin, "Propagation analysis of chirowaveguides using the finite element method," IEEE Trans. Microw. Theory Tech., vol. 38, no. 10, pp. 1488-1496, Oct. 1990.
27. J. A. M. Svedin, "A numerically efficient finite-element formulation for the general waveguide problem without spurious modes," IEEE Trans. Microw. Theory Tech., vol. 37, no. 11, pp. 1708-1715, Nov. 1989.
28. T. Angkaew, M. Matsuhara, and N. Kumagai, "Finite-element analysis of waveguide modes: A novel approach that eliminates spurious modes," IEEE Trans. Microw. Theory Tech., vol. MTT-35, no. 2, pp. 117-123, Feb. 1987.
29. L. Valor and J. Zapata, "Efficient finite element analysis of waveguides with lossy inhomogeneous anisotropic materials characterized by arbitrary permittivity and permeability tensors," IEEE Trans. Microw. Theory Tech., vol. 43, no. 10, pp. 2452-2459, Oct. 1995.
30. G. Tartarini and H. Renner, "Efficient finite-element analysis of tilted open anisotropic optical channel waveguides," IEEE Trans. Microw. Theory Tech., vol. 9, no. 10, pp. 389-391, Oct. 1999.
31. L. Nuno, J. Balbastre, and H. Castane, "Analysis of general lossy inhomogeneous and anisotropic waveguides by the finite-element method (FEM) using edge elements," IEEE Trans. Microw. Theory Tech., vol. 45, no. 3, pp. 446-449, Mar. 1997.
32. S. Hsu and H. Chang, "Full-vectorial finite element method based eigenvalue algorithm for the analysis of 2D photonic crystals with arbitrary 3d anisotropy," Opt. Exp., vol. 15, pp. 15 797-15 811, 2007.
33. J. Jin, The Finite Element Method in Electromagnetics, 2nd ed. New York: Wiley, 2002.
34. M. Koshiba and Y. Tsuji, "Curvilinear hybrid edge/nodal elements with triangular shape for guided-wave problems," J. Lightw. Technol., vol. 18, no. 5, pp. 737-743, May 2000.
35. F. Tisseur and K. Meerbergen, "The quadratic eigenvalue problem," SIAM Rev., vol. 43, pp. 235-286, 2001.
36. A. F. Peterson, "Vector finite element formulation for scattering from two-dimensional heterogeneous bodies," IEEE Trans. Antenna Propag. vol. 43, no. 3, pp. 357-365, Mar. 1994.
37. V. Chigrinov, V. Kozenkov, and H. Kwok, Photoalignment of Liquid Crystalline Materials, ser. Wiley Series in Display Technology. New York: Wiley, 2008.
38. H. Desmet, K. Neyts, and R. Baets, "Modeling nematic liquid crystals in the neighborhood of edges," J. Appl. Phys., vol. 98, p. 123517, 2005.
39. P. Yeh and C. Gu, Optics of Liquid Crystal Displays. New York: Wiley-Interscience, 1999.
40. Y. Satomura, M. Matsuhara, and N. Kumagai, "Analysis of electromagnetic-wave modes in anisotropic slab waveguide," IEEE Trans. Microw. Theory Tech., vol. MTT-22, no. 2, pp. 86-92, Feb. 1974.