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Volumn 22, Issue 8, 2002, Pages 615-637

The method of lines: A versatile tool for the analysis of waveguide structures

Author keywords

Anisotropic media; Eigenmode solver; Generalized transmission lines; Method of lines; Reflection coefficient

Indexed keywords

ALGORITHMS; ANISOTROPY; EIGENVALUES AND EIGENFUNCTIONS; ELECTROOPTICAL DEVICES; FIBER BRAGG GRATINGS; LIGHT REFLECTION; OPTICAL SWITCHES; TRANSMISSION LINE THEORY;

EID: 0036858178     PISSN: 02726343     EISSN: None     Source Type: Journal    
DOI: 10.1080/02726340290084166     Document Type: Article
Times cited : (47)

References (42)
  • 2
    • 85135325737 scopus 로고
    • Modelling of Y-branches with the MoL-BPM
    • San Francisco
    • Ahlers, E., and R. Pregla. 1994. Modelling of Y-branches with the MoL-BPM. In OSA Integr. Photo. Resear. Tech. Dig., San Francisco, pp. 222-224.
    • (1994) OSA Integr. Photo. Resear. Tech. Dig. , pp. 222-224
    • Ahlers, E.1    Pregla, R.2
  • 3
    • 0031070214 scopus 로고    scopus 로고
    • 3D-modeling of concatenations of straight and curved waveguides
    • Ahlers, E., and R. Pregla. 1997. 3D-modeling of concatenations of straight and curved waveguides.Opt. Quantum Electron. 29:151-156.
    • (1997) Opt. Quantum Electron. , vol.29 , pp. 151-156
    • Ahlers, E.1    Pregla, R.2
  • 5
    • 0004027086 scopus 로고
    • Field theory of guided waves, 2nd ed.
    • New York: IEEE Press
    • Collin, R.E. 1991. Field theory of guided waves, 2nd ed., Series of Electromagnetic Waves. New York: IEEE Press.
    • (1991) Series of Electromagnetic Waves
    • Collin, R.E.1
  • 6
    • 0032319395 scopus 로고    scopus 로고
    • Modification of the finite difference scheme for efficient analysis of thin lossy metal layers in optical devices
    • Conradi, O., S. Helfert, and R. Pregla. 1998. Modification of the finite difference scheme for efficient analysis of thin lossy metal layers in optical devices. Opt. Quantum Electron. 30(14): 369-373.
    • (1998) Opt. Quantum Electron. , vol.30 , Issue.14 , pp. 369-373
    • Conradi, O.1    Helfert, S.2    Pregla, R.3
  • 9
    • 0029636141 scopus 로고
    • Three-dimensional vectorial eigenmode algorithm for nonparaxial propagation in reflecting optical waveguide structures
    • Gerdes, J., S. Helfert, and R. Pregla. 1995. Three-dimensional vectorial eigenmode algorithm for nonparaxial propagation in reflecting optical waveguide structures. Electron. Lett. 31(1): 65-66.
    • (1995) Electron. Lett. , vol.31 , Issue.1 , pp. 65-66
    • Gerdes, J.1    Helfert, S.2    Pregla, R.3
  • 10
    • 84975594385 scopus 로고
    • Beam-propagation algorithm based on the method of lines
    • Gerdes, J., and R. Pregla. 1991. Beam-propagation algorithm based on the method of lines. J. Opt. Soc. Am. B 8(2):389-394.
    • (1991) J. Opt. Soc. Am. B , vol.8 , Issue.2 , pp. 389-394
    • Gerdes, J.1    Pregla, R.2
  • 11
    • 0024608125 scopus 로고
    • Novel method for analysis of curved optical rib waveguides
    • Gu, J.S., P.A. Besse, and H. Melchior. 1989. Novel method for analysis of curved optical rib waveguides. Electron. Lett. 25(4):278-280.
    • (1989) Electron. Lett. , vol.25 , Issue.4 , pp. 278-280
    • Gu, J.S.1    Besse, P.A.2    Melchior, H.3
  • 12
    • 0026116355 scopus 로고
    • Method of lines for the analysis of the propagation characteristics of curved optical rib waveguides
    • Gu, J.S., P.A. Besse, and H. Melchior. 1991. Method of lines for the analysis of the propagation characteristics of curved optical rib waveguides. IEEE J. Quantum Electron. 27(3): 531-537.
    • (1991) IEEE J. Quantum Electron. , vol.27 , Issue.3 , pp. 531-537
    • Gu, J.S.1    Besse, P.A.2    Melchior, H.3
  • 13
    • 0031701563 scopus 로고    scopus 로고
    • Low-truncation-error finite difference equations for photonics simulation I: Beam propagation
    • Hadley, G.R. 1998a. Low-truncation-error finite difference equations for photonics simulation I: Beam propagation. J. Lightwave Technol. 16(1): 134-141.
    • (1998) J. Lightwave Technol. , vol.16 , Issue.1 , pp. 134-141
    • Hadley, G.R.1
  • 14
    • 0031698528 scopus 로고    scopus 로고
    • Low-truncation-error finite difference equations for photonics simulation II: Vertical-cavity surface-emitting lasers
    • Hadley, G.R. 1998b. "Low-truncation-error finite difference equations for photonics simulation II: Vertical-cavity surface-emitting lasers. J. Lightwave Technol. 16(1): 142-151.
    • (1998) J. Lightwave Technol. , vol.16 , Issue.1 , pp. 142-151
    • Hadley, G.R.1
  • 15
    • 0032299131 scopus 로고    scopus 로고
    • Low-truncation-error finite difference representations of the 2-D Helmholtz equation
    • Hadley, G.R. 1998c. Low-truncation-error finite difference representations of the 2-D Helmholtz equation. AEÜ 52(5):310-316.
    • (1998) AEÜ , vol.52 , Issue.5 , pp. 310-316
    • Hadley, G.R.1
  • 16
    • 0032310241 scopus 로고    scopus 로고
    • Analysis of curved bends in arbitrary optical devices using cylindrical coordinates
    • Helfert, S. 1998. Analysis of curved bends in arbitrary optical devices using cylindrical coordinates. Opt. Quantum Electron. 30:359-368.
    • (1998) Opt. Quantum Electron , vol.30 , pp. 359-368
    • Helfert, S.1
  • 17
    • 0030263243 scopus 로고    scopus 로고
    • Finite difference expressions for arbitrarily positioned dielectric steps in waveguide structures
    • Helfert, S.F., and R. Pregla. 1996. Finite difference expressions for arbitrarily positioned dielectric steps in waveguide structures. J. Lightwave Technol. 14(10):2414-2421.
    • (1996) J. Lightwave Technol. , vol.14 , Issue.10 , pp. 2414-2421
    • Helfert, S.F.1    Pregla, R.2
  • 18
    • 0032166176 scopus 로고    scopus 로고
    • Efficient analysis of periodic structures
    • Helfert, S.F., and R. Pregla. 1998. Efficient analysis of periodic structures. J. Lightwave Technol. 16(9): 1694-1702.
    • (1998) J. Lightwave Technol. , vol.16 , Issue.9 , pp. 1694-1702
    • Helfert, S.F.1    Pregla, R.2
  • 19
    • 0032688545 scopus 로고    scopus 로고
    • Analysis of thin layers and discontuities
    • Special Issue on Optical Waveguide Theory and Numerical Modelling
    • Helfert, S.F., and R. Pregla. 1999a. Analysis of thin layers and discontinuities. Opt. Quantum Electron. 31:721-732. Special Issue on Optical Waveguide Theory and Numerical Modelling.
    • (1999) Opt. Quantum Electron. , vol.31 , pp. 721-732
    • Helfert, S.F.1    Pregla, R.2
  • 20
    • 0011855842 scopus 로고    scopus 로고
    • Modeling of thin dielectric layers in finite difference schemes
    • Santa Barbara
    • Helfert, S.F., and R. Pregla. 1999b. Modeling of thin dielectric layers in finite difference schemes. In OSA Integr. Photo. Resear. Tech. Dig., Santa Barbara, pp. 253-255.
    • (1999) OSA Integr. Photo. Resear. Tech. Dig. , pp. 253-255
    • Helfert, S.F.1    Pregla, R.2
  • 21
    • 0026928790 scopus 로고
    • Efficient interface conditions for the finite difference beam propagation method
    • Hoekstra, H.J.W.M., G.J.M. Krijnen, and P.V. Lambeck. 1992. Efficient interface conditions for the finite difference beam propagation method. J. Lightwave Technol. 10(10): 1352-1355.
    • (1992) J. Lightwave Technol. , vol.10 , Issue.10 , pp. 1352-1355
    • Hoekstra, H.J.W.M.1    Krijnen, G.J.M.2    Lambeck, P.V.3
  • 23
    • 0027541686 scopus 로고
    • Increase of the order of approximation and improvement of the interface conditions for the method of lines
    • Kornatz, A., and R. Pregla. 1993. Increase of the order of approximation and improvement of the interface conditions for the method of lines. J. Lightwave Technol. 11 (2):249-251.
    • (1993) J. Lightwave Technol. , vol.11 , Issue.2 , pp. 249-251
    • Kornatz, A.1    Pregla, R.2
  • 24
    • 0021441728 scopus 로고
    • Approximate scalar finite-element analysis of anisotropic optical waveguides with off-diagonal elements in a permittivity tensor
    • Koshiba, M., K. Hayata, and M. Suzuki. 1984. Approximate scalar finite-element analysis of anisotropic optical waveguides with off-diagonal elements in a permittivity tensor. IEEE Trans. Microwave Theory Tech. MTT-32: 587-593.
    • (1984) IEEE Trans. Microwave Theory Tech. , vol.MTT-32 , pp. 587-593
    • Koshiba, M.1    Hayata, K.2    Suzuki, M.3
  • 25
    • 0011822399 scopus 로고    scopus 로고
    • Rigorous analysis of non-homogeneous gyrotropic waveguides by the method of lines
    • Nantes, France
    • Martin, S., and R. Pregla. 1998. Rigorous analysis of non-homogeneous gyrotropic waveguides by the method of lines. In Progress in Electromagnetics Research Symp. (PIERS), Nantes, France, Vol. 3, p. 1167.
    • (1998) Progress in Electromagnetics Research Symp. (PIERS) , vol.3 , pp. 1167
    • Martin, S.1    Pregla, R.2
  • 26
    • 0027701996 scopus 로고
    • Vectorial analysis of bends in optical strip waveguides by the method of lines
    • Pascher, W., and R. Pregla. 1993. Vectorial analysis of bends in optical strip waveguides by the method of lines. Radio Sci. 28:1229-1233.
    • (1993) Radio Sci. , vol.28 , pp. 1229-1233
    • Pascher, W.1    Pregla, R.2
  • 27
    • 0029250163 scopus 로고
    • Higher order approximation for the difference operators in the method of lines
    • Pregla, R. 1995a. Higher order approximation for the difference operators in the method of lines. IEEE Microwave Guided Wave Lett. 5(2):53-55.
    • (1995) IEEE Microwave Guided Wave Lett. , vol.5 , Issue.2 , pp. 53-55
    • Pregla, R.1
  • 28
    • 0002313969 scopus 로고
    • MoL-BPM method of lines based beam propagation method
    • W.P. Huang, Progress in Electromagnetic Research, Cambridge, MA: EMW Publishing
    • Pregla, R. 1995b. MoL-BPM method of lines based beam propagation method. In Methods for modeling and simulation of guided-wave optoelectronic devices (PIER 11), ed. W.P. Huang, Progress in Electromagnetic Research, 51-102. Cambridge, MA: EMW Publishing.
    • (1995) Methods for modeling and simulation of guided-wave optoelectronic devices (PIER 11) , pp. 51-102
    • Pregla, R.1
  • 29
    • 0030232698 scopus 로고    scopus 로고
    • The method of lines as generalized transmission line technique for the analysis of multilayered structures
    • Pregla, R. 1996. The method of lines as generalized transmission line technique for the analysis of multilayered structures. AEÜ 50(5):293-300.
    • (1996) AEÜ , vol.50 , Issue.5 , pp. 293-300
    • Pregla, R.1
  • 30
    • 0002389414 scopus 로고    scopus 로고
    • The impedance/admittance transformation-an efficient concept for the analysis of optical waveguide structures
    • Santa Barbara
    • Pregla, R. 1999a. The impedance/admittance transformation-an efficient concept for the analysis of optical waveguide structures. In OSA Integr Photo. Resear. Tech. Dig., Santa Barbara, pp. 40-42.
    • (1999) OSA Integr Photo. Resear. Tech. Dig. , pp. 40-42
    • Pregla, R.1
  • 31
    • 0002710590 scopus 로고    scopus 로고
    • Novel FD-BPM for optical waveguide structures with isotropic or anisotropic material
    • Torino, Italy
    • Pregla, R. 1999b. Novel FD-BPM for optical waveguide structures with isotropic or anisotropic material. In European Conference on Integrated Optics and Technical Exhibit, Torino, Italy, pp. 55-58.
    • (1999) European Conference on Integrated Optics and Technical Exhibit , pp. 55-58
    • Pregla, R.1
  • 32
    • 84946116715 scopus 로고    scopus 로고
    • Novel algorithms for the analysis of optical fiber structures with anisotropic materials
    • Kielce, Polen
    • Pregla, R. 1999c. Novel algorithms for the analysis of optical fiber structures with anisotropic materials. In International Conference on Transparent Optical Networks, Kielce, Polen, pp. 49-52.
    • (1999) International Conference on Transparent Optical Networks , pp. 49-52
    • Pregla, R.1
  • 33
    • 0011823115 scopus 로고    scopus 로고
    • Efficient analysis of conformal antennas with anisotropic material (0682)
    • Davos, Switzerland, Noordwijk: ESA Publications Division
    • Pregla, R. 2000. Efficient analysis of conformal antennas with anisotropic material (0682). In AP 2000 Millennium Conference on Antennas and Propagation, Davos, Switzerland, Noordwijk: ESA Publications Division.
    • (2000) AP 2000 Millennium Conference on Antennas and Propagation
    • Pregla, R.1
  • 34
    • 0028515834 scopus 로고
    • Method of lines for analysis of arbitrarily curved waveguide bends
    • Pregla, R., and E. Ahlers. 1994. Method of lines for analysis of arbitrarily curved waveguide bends. Electron. Lett., 30(18):1478-1479.
    • (1994) Electron. Lett. , vol.30 , Issue.18 , pp. 1478-1479
    • Pregla, R.1    Ahlers, E.2
  • 36
    • 84975595258 scopus 로고
    • Method of lines for the analysis of strip-loaded optical waveguides
    • Rogge, U., and R. Pregla. 1991. Method of lines for the analysis of strip-loaded optical waveguides. J. Opt. Soc. Am. B 8(2):459-463.
    • (1991) J. Opt. Soc. Am. B , vol.8 , Issue.2 , pp. 459-463
    • Rogge, U.1    Pregla, R.2
  • 37
    • 0027873049 scopus 로고
    • Method of lines for the analysis of dielectric waveguides
    • Rogge, U., and R. Pregla. 1993. Method of lines for the analysis of dielectric waveguides. J. Light-wave Technol. 11(12):2015-2020.
    • (1993) J. Light-wave Technol. , vol.11 , Issue.12 , pp. 2015-2020
    • Rogge, U.1    Pregla, R.2
  • 38
    • 0032310153 scopus 로고    scopus 로고
    • Efficient interface conditions based on a 5-point finite difference operator
    • Stoffer, R., and H.J.W.M. Hoekstra. 1998. Efficient interface conditions based on a 5-point finite difference operator. Opt. Quantum Electron. 30:375-383.
    • (1998) Opt. Quantum Electron. , vol.30 , pp. 375-383
    • Stoffer, R.1    Hoekstra, H.J.W.M.2
  • 39
    • 0017535270 scopus 로고
    • On the analysis of symmetrical three-line microstrip circuits
    • Tripathi, V.K. 1977. On the analysis of symmetrical three-line microstrip circuits. IEEE Trans. Microwave Theory Tech. MTT-25 (9):726-729.
    • (1977) IEEE Trans. Microwave Theory Tech. , vol.MTT-25 , Issue.9 , pp. 726-729
    • Tripathi, V.K.1
  • 40
    • 0031188050 scopus 로고    scopus 로고
    • Modified finite-difference formula for the analysis of semivectorial modes in step-index optical waveguides
    • Yamauchi, J., M. Sekiguchi, O. Uchiyama, J. Shibayama, and H. Nakano. 1997. Modified finite-difference formula for the analysis of semivectorial modes in step-index optical waveguides. IEEE Photonics Technol. Lett. 9(7):961-963.
    • (1997) IEEE Photonics Technol. Lett. , vol.9 , Issue.7 , pp. 961-963
    • Yamauchi, J.1    Sekiguchi, M.2    Uchiyama, O.3    Shibayama, J.4    Nakano, H.5
  • 41
    • 0029324174 scopus 로고
    • Modified finite-difference beam propagation method based on the generalized douglas scheme for variable coefficients
    • Yamauchi, J., J. Shibayama, and H. Nakano. 1995. Modified finite-difference beam propagation method based on the generalized douglas scheme for variable coefficients. IEEE Photonics Technol. Lett. 7(6):661-663.
    • (1995) IEEE Photonics Technol. Lett. , vol.7 , Issue.6 , pp. 661-663
    • Yamauchi, J.1    Shibayama, J.2    Nakano, H.3
  • 42
    • 0026851412 scopus 로고
    • Improvement of finite difference methods for step-index optical waveguides
    • Vassallo, C. 1992. Improvement of finite difference methods for step-index optical waveguides. IEE Proc.-J (Optoelectronics) 139(2):137-142.
    • (1992) IEE Proc.-J (Optoelectronics) , vol.139 , Issue.2 , pp. 137-142
    • Vassallo, C.1


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