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Method of Lines: References

Book articles

  • Contributions in G. Guekos (Ed.) Photonic devices for telecommunications, Springer Verlag, Heidelberg, Germany, 1998.
    • R. Pregla, Introduction to : "1. Mode solvers and related methods"
    • R. Pregla, "1.1 An improved mode solver using enhanced line algorithm in the method of lines"
    • R. Pregla, Introduction to : "2. Beam propagation methods"
    • R. Pregla, "2.2 Beam propagation method based on the method of lines"
  • R. Pregla, "MoL--BPM Method of Lines Based Beam Propagation Method", in Methods for Modeling and Simulation of Guided-Wave Optoelectronic Devices, vol.11 in book series Progress in Electro-magnetics Research, Chief editor: J. A. Kong, Publisher: Elsevier pp. 51--102, 1995
  • R. Pregla and W. Pascher, "The Method of Lines" in T. Itoh (editor) Numerical Techniques for Microwave and Millimeter Wave Passive Structures , pp. 381--446, J. Wiley Publ., New York, 1989

Computer programs

  • Optbend
    Matlab Program for the Analysis of Optical Waveguide Bends
  • Diodkopp
    Fortran Program for the Analysis of the Transition of Two Different Complex Waveguide Structures
  • 3D-MoL-BPM
    Fortran Program for the Analysis of Inhomogeneous Waveguide Structures for Integrated Optics in 3 Dimensions. (will be available in the future)
  • 2D-MoL-BPM
    Fortran Program for the Analysis of Inhomogeneous Waveguide Structures for Integrated Optics in 2 Dimensions
  • MOLCAR - Method of Lines Complex Arithmetic Routine
    Fortran Programm for the Hybrid Analysis of Longitudinal Homogeneous Optical Waveguide Structures with Complex Refractive Indices

PhD thesis

  • E. Ahlers : Die Modellierung von Oberflächenemittierenden Laserdioden mit der Methode der Geraden .
    FernUniversität - Hagen, 1997.
  • D. Kremer : Analysis of Multilayered Anisotropic Dielectric Resonators and Waveguides by the Method of Lines .
    FernUniversität - Hagen, 1997. ISBN 3-18-323221-9
  • W. Yang : Method of Lines for Analysis of Passive and Active Integrated Optical Devices.
    FernUniversität - Hagen, 1996.
  • A. Kornatz : The Method of Lines for the Analysis of Filters with Dielectric Resonators (in German).
    FernUniversität - Hagen, 1995. ISBN 3-18-319121-0
  • J. Gerdes : An efficient analysis of longitudinally varying integrated optical waveguides (in German).
    FernUniversität - Hagen, 1993. ISBN 3-18-143821-9
  • A. Dreher : The Method of Lines and the Integral Equation Method for the Analysis of Planar Antennas (in German).
    FernUniversität - Hagen, 1991. ISBN 3-18-141621-5
  • U. Rogge : Method of Lines for the Analysis of Dielectric Waveguide (in German).
    FernUniversität - Hagen, 1991.
  • F. J. Schmückle : The Method of Lines for the Analysis of Waveguide Structures in Monolithic Integrated Microwave Circuits (in German).
    FernUniversität - Hagen, 1991.
  • W. Pascher : Full Wave Analysis of Junctions and Discontinuities in Rectangular and Planar Waveguides by the Method of Lines.
    FernUniversität - Hagen, 1990.
  • H. Diestel : A method for calculating inhomogeneous planar dielectric waveguides (in German).
    FernUniversität - Hagen, 1984.
  • S. B. Worm : Analysis of planar microwave structures with arbitrary contour (in German).
    FernUniversität - Hagen, 1983.
  • U. Schulz : The Method of Lines - A New Technique for the Analysis of Planar Microwave Structures (in German).
    FernUniversität - Hagen, 1980.

Journal and Conference Articles

  • H.-G. Bergandt : Shielding of Two Centered Broadside Coupled Single Microstrip Lines by a Nonideal Metallic Layer
    • AEÜ, Vol. 52, No. 5, Sept. 1998, pp. 317--321
    • PIERS 1998, Progress in Electromagnetics Research Symposium, Volume 3, pp. 1162, Juli 1998, Nantes, France
  • D. Kremer and R. Pregla : The Method of Lines for the Hybrid Analysis of Multilayered Cylindrical Resonator Structures
    IEEE Transactions on Microwave Theory and Techniques, Vol., No., 1997, pp. 2152--2155
  • R. Pregla : Concatenations of waveguide sections
    IEE Proc.-Microw. Antennas Propag., Vol. 144, No. 2, April 1997, pp. 119--125
  • R. Pregla and E. Ahlers : 3D Modeling of concatenations of straight and curved waveguides by the MoL-BPM
    Optical and Quantum Electronics , Vol. 29, No. 2, Feb. 1997, pp 2152--2155
  • L. Vietzorreck and R. Pregla : Hybrid Analysis of 3-D MMIC Elements by the Methods of Lines
    IEEE Transactions on Microwave Theory and Techniques, Vol. 44, No. 12, Dec. 1996, pp. 2580--2586
  • R. Pregla : The Method of Lines as Generalized Transmission Line Technique for the Analysis of Multilayered Structures.
    AEÜ, Vol. 50, No. 5., Oct. 1996, pp. 293--300
  • W. D. Yang and R. Pregla : The Method of Lines for Analysis of Integrated Optical Waveguide Structures with Arbitrary Curved Interfaces
    Journal of Lightwave Technology, Vol. 14, No. 5, May 1996, pp. 879--884
  • R. Pregla : Concatenations of waveguide sections
    IEE Proc.-Microw. Antennas Propag., Vol. 144, No. 2, April 1997, pp. 119--125
  • D. Kremer and R. Pregla : The Method of Lines for the Hybrid Analysis of Multilayered Cylindrical Resonator Structures
    IEEE Transactions on Microwave Theory and Techniques, Vol., No., 1997, pp.
  • L. Vietzorreck and R. Pregla : Hybrid Analysis of 3-D MMIC Elements by the Methods of Lines
    IEEE Transactions on Microwave Theory and Techniques, Vol. 44, No. 12, Dec. 1996, pp. 2580--2586
  • R. Pregla : The Method of Lines as Generalized Transmission Line Technique for the Analysis of Multilayered Structures.
    AEÜ, Vol. 50, No. 5., Oct. 1996, pp. 293--300
  • W. D. Yang and R. Pregla : The Method of Lines for Analysis of Integrated Optical Waveguide Structures with Arbitrary Curved Interfaces
    Journal of Lightwave Technology, Vol. 14, No. 5, May 1996, pp. 879--884
  • R. Pregla : The Method of Lines for the Analysis of Dielectric Waveguide Bends.
    Journal of Lightwave Technology, Vol. 14, No. 4, April 1996, pp. 634--639
  • W. Pascher and R. Pregla : Analysis of Rectangular Waveguide Junctions by the Method of Lines
    IEEE Transactions on Microwave Theory and Techniques, Vol. 43, No. 12, Dec. 1995
  • R. Pregla and S. F. Helfert : Finite Difference Expressions for Arbitrarily Positioned Dielectric Steps in Waveguide Structures
    Journal of Lightwave Technology, Vol. 14, No. 10, 1995, pp. 2414--2421
  • R. Pregla : The Method of Lines for the Unified Analysis of Microstrip and Dielectric Waveguides.
    Electromagnetics, Vol. 15, No. 5, Sept.-Oct. 1995, pp. 441--456
  • W. D. Yang and R. Pregla : Method of Lines for the Analysis of the Waveguide Structure with Multidiscontinuities.
    Electron. Lett., Vol. 31(11), pages 892--893, 1995.
  • R. Pregla : The Method of Lines for the Unified Analysis of Microstrip and Dielectric Waveguides.
    Electromagnetics, Vol.15(5), pages 441--456, 1995.
  • R. Pregla : Higher Order Approximation for the Difference Operators in the Method of Lines.
    IEEE Microw. Guid. Wave Lett., Vol.5(2), pages 53--55, 1995.
  • W. Pascher and R. Pregla : Analysis of Rectangular Waveguide Discontinuities by the Method of Lines.
    IEEE Trans. Microw. Theory Tech., Vol.MTT-43(2), pages 416--420, Feb. 1995.
  • S. Helfert and R. Pregla : Modeling of Taper Structures in Cylindrical Coordinates.
    Proc. Integr. Photo. Resear. Technic. Digest, Vol. 7, pages 30--32, Dana Point, USA, Feb. 1995.
  • R. Pregla and W. Pascher : Vectorial Analysis of Optical Waveguides by the Method of Lines.
    Proc. Annual Review of Progress in Applied Computational Electromagnetics (ACES), Vol. 11, pages 943--950, Monterey, USA, 1995.
  • R. Pregla and E. Ahlers : New Vector-BPM in Cylindrical Coordinates Based on the Method of Lines.
    Proc. Integr. Photo. Resear. Technic. Digest, Vol.7, pages 23--25, Dana Point, USA, Feb. 1995.
  • J. Gerdes, S. Helfert, and R. Pregla : Three-Dimensional Vectorial Eigenmode Algorithm for Nonparaxial Propagation in Reflecting Optical Waveguide Structures.
    Electron. Lett., Vol.31(1), pages 65--66, 1995.
  • A.Kornatz and R.Pregla : Analysis of HF-Filters Consisting of Dielectric Resonators Using the Method of Lines.
    Proc. German National U.R.S.I Conf., Vol. 38, pages 263--268, Kleinheubach, Germany, 1995.
  • A. Kornatz and R. Pregla : Full Wave Analysis of Microstrip Filters Containing Dielectric and Metallic Resonators with the Method of Lines.
    Proc. Microwave Theory and Techniques Symposium (IEEE MTT-SDigest), pages 649--652, Orlando, USA, May 1995.
  • D. Kremer and R. Pregla : The Method of Lines for the Hybrid Analysis of Multilayered Dielectric Resonators.
    Proc. Microwave Theory and Techniques Symposium (IEEE MTT-SDigest), pages 491--494, Orlando, USA, May 1995.
  • W. D. Yang and R. Pregla : Analysis of Integrated Optical Waveguide Structures with Arbitrary Curved Interfaces by Using the Method of Lines.
    Proc. Integr. Photo. Resear. Technic. Digest, Vol. 7, pages 226--228, Dana Point, USA, Feb. 1995.
  • R. Pregla : General Formulas for the Method of Lines in Cylindrical Coordinates.
    IEEE Trans. Microw. Theory Tech., Vol.MTT-43(7), pages 1617--1620, 1995.
  • R. Pregla and L. Vietzorreck : Combination of the Source Method with Absorbing Boundary Conditions in the Method of Lines.
    IEEE Microw. Guid. Wave Lett., Vol.5(7), pages 227--229, 1995.
  • R. Pregla and S. Helfert : New Developments of a Beam Propagation Algorithm Based on the Method of Lines.
    To be published in: Opt. Quantum Electron., 1995.
  • R. Pregla : New Approach for the Analysis of Cylindrical Antennas by the Method of Lines.
    Electron. Lett., Vol.30(8), pages 614--615, 1994.
  • R. Pregla and E. Ahlers : Method of Lines for Analysis of Arbitrarily Curved Waveguide Bends.
    Electron. Lett., Vol.30(18), pages 1478--1479, Sep. 1994.
  • D. Kremer : Method of Lines for the Analysis of Optical Waveguide Structures with Complex Refractive Indices Using a Pole-Free Eigenvalue Determination.
    Electron. Lett., Vol.30(13), pages 1088--1089, Jun. 1994.
  • E. Ahlers and R. Pregla : Modelling of Y-Branches with the MoL-BPM.
    Proc. Linear and Nonlinear Integrated Optics, pages 259--270, Lindau, Germany, Apr. 1994. EUROPTO series (EOS and SPIE).
  • E. Ahlers and R. Pregla : Modelling of Y-branches with the MoL-BPM.
    Proc. Integr. Photo. Resear. Technic. Digest, pages 222--224, San Francisco, USA, Feb. 1994.
  • R. Pregla : Berechnung der Eingangsimpedanzen von Antennen mit der Methode der Geraden.
    Proc. ITG-Fachtagung, Dresden, Germany, Apr. 1994.
  • R. Pregla and L. Vietzorreck : Calculation of Input Impedances of Planar Antennas with the Method of Lines.
    pages CD--ROM, Noordwijk, The Netherlands, 1994.
  • R. Pregla : The Method of Lines for the Analysis of Discontinuities in Cylindrical Waveguides.
    Proc. 6th Int. IGTE Symposium, pages 174--179, Graz, Austria, Sep. 1994.
  • D. Kremer and R. Pregla : The Method of Lines for the Hybrid Analysis of Dielectric Resonators.
    Proc. German National U.R.S.I Conf., Vol. 38, pages 269--274, Kleinheubach, Germany, 1994.
  • D. Kremer : The Method of Lines for the Analysis of Optical Waveguide structures with High Complex Refractive Indices Using a Pole-Free Eigenvalue Determination.
    Proc. German National U.R.S.I Conf., Vol. 38, pages 365--368, Kleinheubach, Germany, 1994.
  • R. Pregla : Method of Lines for the Analysis of Multilayered Gyrotropic Waveguide Structures.
    Vol.140(3), pages 183--192, Jun. 1993.
  • A. Dreher and R. Pregla : Full--Wave Analysis of Radiating Planar Resonators with the Method of Lines.
    IEEE Trans. Microw. Theory Tech., Vol.MTT-41(8), pages 1363--1368, Aug. 1993.
  • R. Pregla and W. D. Yang : Method of Lines for Analysis of Multilayered Dielectric Waveguides with Bragg Gratings.
    Electron. Lett., Vol.29(22), pages 1962--1963, 1993.
  • R. Pregla and E. Ahlers : The Method of Lines for the Analysis of Discontinuities in Optical Waveguides.
    Electron. Lett., Vol.29(21), pages 1845--1847, Oct. 1993.
  • W. Pascher and R. Pregla : Vectorial Analysis of Bends in Optical Strip Waveguides by the Method of Lines.
    Radio Sci., Vol.28, pages 1229 -- 1233, 1993.
  • F. J. Schmückle : The method of lines for the analysis of rectangular spiral inductors.
    IEEE MTT, Vol- 41, pages 1183-1186, Jun/Jul 1993.
  • A. Kornatz and R. Pregla : Increase of the Order of Approximation and Improvement of the Interface Conditions for the Method of Lines.
    J. Lightwave Technol., Vol.11(2), pages 249--251, Feb. 1993.
  • U. Rogge and R. Pregla : Method of Lines for the Analysis of Dielectric Waveguides.
    J. Lightwave Technol., Vol.11(12), pages 2015--2020, 1993.
  • D. Kremer and R. Pregla : The Method of Lines with Improved Special Absorbing Boundary Conditions.
    Proc. Integr. Photo. Resear. Technic. Digest, pages 41--44, Palm Springs, USA, 1993.
  • R. Pregla and W. D. Yang : The Method of Lines for the Analysis of Multilayered Dielectric Waveguides with Bragg Gratings.
    Proc. European Conference on Integrated Optics and Technical Exhibit, pages 4--24--4--25, Neuchâtel, Switzerland, Apr. 1993.
  • R. Pregla and E. Ahlers : The Method of Lines for the Analysis of Discontinuities in Optical Waveguides.
    Proc. European Conference on Integrated Optics and Technical Exhibit, pages 13--8--13--9, Neuchâatel, Switzerland, Apr. 1993.
  • R.Pregla : The Method of Lines for the Modelling of Microwave Structures-its Properties and Potentialities.
    Proc. 23rd European Microwave Conference, Madrid, Spain, Sep. 1993.
  • A. Kornatz and R. Pregla : Improvement of the Convergence Behavior of the Method of Lines (in German).
    Proc. German National U.R.S.I Conf., Vol. 36, pages 115--118, Kleinheubach, Germany, 1993.
  • A. Dreher and R. Pregla : Analysis of Microstrip Structures with an Inhomogeneous Dielectric Layer in an Unbounded Region.
    Electron. Lett., Vol.28(23), pages 2133--2134, 1992.
  • R. Pregla and W. Pascher : Diagonalization of Difference Operators and System Matrices in the Method of Lines.
    IEEE Microw. Guid. Wave Lett., Vol.2(2), pages 52--54, 1992.
    Correction of vol. 2, no. 5, p. 206, 1992.
  • R. Pregla, J. Gerdes, E. Ahlers, and S. Helfert : MoL-BPM Algorithms for Waveguide Bends and Vectorial Fields.
    Proc. Integr. Photo. Resear. Technic. Digest, Vol. 9, pages 32--33, Washington, DC, USA, 1992.
  • J. Gerdes, B. Lunitz, D. Benish, and R. Pregla : Analysis of Slab Waveguide Discontinuities Including Radiation and Absorption Effects.
    Electron. Lett., Vol.28, pages 1013--1014, 1992.
  • R. Pregla and D. Kremer : Method of Lines with Special Absorbing Boundary Conditions - Analysis of Weakly Guiding Optical Structures.
    IEEE Microw. Guid. Wave Lett., Vol.2(6), pages 239--241, 1992.
  • R. Pregla and W. Pascher : Vectorial Analysis of Curved Optical Waveguides by the Method of Lines.
    Proc. German National U.R.S.I Conf., Vol. 35, pages 507--513, Kleinheubach, Germany, Oct. 1992.
  • F. J. Schmückle and R. Pregla : The Method of Lines for the Analysis of Rectangular Spiral Inductors.
    Proc. German National U.R.S.I Conf., Vol. 35, pages 593--600, Kleinheubach, Germany, 1992.
  • F. J. Schmückle : The method of lines for the rigorous full wave analysis of rectangular bends of multiple-line-systems.
    International Microwave Symposium 1992, Albuquere, NM, June 1992, pages 792-793.
  • R. Pregla : Vectorial Analysis of Optical Waveguides by the Method of Lines.
    Proc. U.R.S.I intern. Symp. Electromagn. Theo., Chicago, USA, Jul. 1992.
  • R. Pregla : The Method of Lines for the Analysis of Multilayered Waveguide Structures.
    Proc. Int. IGTE Symposium, Graz, Austria, Sep. 1992.
  • A. Dreher and R. Pregla : Analysis of Planar Waveguides with the Method of Lines and Absorbing Boundary Conditions.
    IEEE Microw. Guid. Wave Lett., Vol.1(6), pages 138--140, 1991.
  • J. Gerdes, K. H. Helf, and R. Pregla : Full-Wave Analysis of Traveling-Wave Electrodes with Finite Thickness for Electrooptic Modulators by the Method of Lines.
    J. Lightwave Technol., Vol.9, pages 461--467, 1991.
  • F. J. Schmückle and R. Pregla : The Method of Lines for the Analysis of Planar Waveguides with Finite Metallization Thickness.
    IEEE Trans. Microw. Theory Tech., Vol.MTT-39, pages 101--107, 1991.
  • R. Pregla : Analysis of a Bend Discontinuity by the Method of Lines.
    Frequenz, Vol.45, pages 213--216, 1991.
  • W. Pascher and R. Pregla : Analysis of Curved Optical Waveguides by the Vectorial Method of Lines.
    Proc. Int. Conf. on Integrated Optics and Optical Fibre Communications, pages 237--240, Paris, France, 1991.
  • J. Gerdes and R. Pregla : New Applications and Improvements of the Method of Lines Beam-Propagation Method.
    Proc. Integr. Photo. Resear. Technic. Digest, page 93, Monterey, USA, Apr. 1991.
  • J. Gerdes and R. Pregla : Beam-Propagation Algorithm Based on the Method of Lines.
    J. Opt. Soc. Am. B, Vol.8(2), pages 389--394, 1991.
  • U. Rogge and R. Pregla : Method of Lines for the Analysis of Strip-Loaded Optical Waveguides.
    J. Opt. Soc. Am. B, Vol.8(2), pages 459--463, Feb. 1991.
  • F. J. Schmückle and R. Pregla : The Method of Lines for the Analysis of Lossy Planar Waveguide Structures.
    IEEE Trans. Microw. Theory Tech., Vol.MTT-38, pages 1473--1479, 1990.
  • W. Veit, H. Diestel, and R. Pregla : Coupling of a Crossed Planar Multiconductor Systems.
    IEEE Trans. Microw. Theory Tech., Vol.MTT-38, pages 265--269, 1990.
  • R. Pregla and J. Gerdes : New Beam-Propagation Algorithm Based on the Method of Lines.
    Proc. Integr. Photo. Resear. Technic. Digest, Vol. 5, pages 29--30, Washington, DC, USA, 1990.
  • R. Pregla and W. Pascher : Analysis of Rectangular Waveguide Junctions by the Method of Lines.
    Proc. German National U.R.S.I Conf., Vol. 33, pages 443--452, Kleinheubach, Germany, 1990.
  • R. Pregla and F. J. Schmückle : The Method of Lines in an Improved Analysis for the Investigation of Planar Waveguide Structures with Finite Metallization Thickness.
    Proc. German National U.R.S.I Conf., Vol. 32, pages 255--260, Kleinheubach, Germany, 1989.
  • R. Pregla and U. Rogge : The Method of Lines for the Analysis of Planar and Strip Waveguide Structures.
    Proc. Workshop on Numerical Simulation and Analysis in Guided-Wave Optics and Optoelectronics , pages 71--73, Washington, DC, USA, 1989. Optical Society of America.
  • R. Pregla and F. J. Schmückle : The Method of Lines for the Analysis of Planar Waveguide Structures with Finite Metallization Thickness.
    Proc. German National U.R.S.I Conf., Vol. 31, pages 431--438, Kleinheubach, Germany, 1988.
  • W. Pascher and R. Pregla : Full Wave Analysis of Complex Planar Microwave Structures.
    Radio Sci., Vol.22, pages 990--1002, 1987.
  • R. Pregla : About the Nature of the Method of Lines.
    AEÜ, Vol.41, pages 368--370, 1987.
  • R. Pregla, M. Koch, and W. Pascher : Analysis of Hybrid Waveguide Structures Consisting of Microstrips and Dielectric Waveguides.
    Proc. 17th European Microwave Conference, pages 927--932, Rom, Italy, 1987.
  • R. Pregla : Analysis of Planar Microwave Structures on Magnetized Ferrite Substrate.
    AEÜ, Vol.40, pages 270--274, 1986.
  • W. Pascher and R. Pregla : Full Wave Analysis of Complex Planar Microwave Structures.
    Proc. U.R.S.I intern. Symp. Electromagn. Theo., pages 182--184, Budapest, Hungary, 1986.
  • R. Pregla : Die Methode der Geraden zur Analyse planarer Wellenleiterstrukturen insbesondere mit magnetisierten Ferritsubstraten.
    Proc. German National U.R.S.I Conf., Vol. 28, pages 309--317, Kleinheubach, Germany, 1985.
  • S. B. Worm and R. Pregla : Hybrid Mode Analysis of Arbitrarily Shaped Planar Microwave Structures by the Method of Lines.
    IEEE Trans. Microw. Theory Tech., Vol.MTT-32, pages 191--196, 1984.
  • R. Pregla and S. B. Worm : The Method of Lines for the Analysis of Planar Waveguides with Magnetzed Ferrite Substrate.
    Proc. Microwave Theory and Techniques Symposium (IEEE MTT-SDigest), San Francisco, USA, May 1984.
  • R. Pregla : Analysis of Periodic Structures in Planar Waveguides.
    Proc. 7th Colloquium on Microwave Communication, Budapest, Hungary, Sep. 1982.
  • R. Pregla and S. B. Worm : A New Technique for the Analysis of = Planar Waveguides with Magnetized Ferrite Substrate.
    Proc. 12th European Microwave Conference, pages 747--752, Helsinki, Finnland, 1982.
  • U. Schulz and R. Pregla : A New Technique for the Analysis of the Dispersion Characteristics of Planar Waveguides and its Application to Microstrips with Tuning Septums.
    Radio Sci., Vol.16(6), pages 1173--1178, 1981.
  • U. Schulz and R. Pregla : A new Technique for the Analysis of the Dispersion Characteristics of Planar Waveguides.
    AEÜ, Vol.34, pages 169--173, 1980.
  • R. Pregla and U. Schulz : A New Technique for the Analysis of Dispersion Characteristics of Planar Waveguides and its Application to Microstrips with Tuning Septums.
    Proc. U.R.S.I intern. Symp. Electromagn. Theo., Munich, Germany, 1980.
  • R. Pregla and U. Schulz : A New Technique for the Analysis of the Dispersion Characteristics of Planar Waveguides Demostrated for the Coplanar-Line.
    Proc. 10th European Microwave Conference, Warschau, Poland, May 1980.
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