Abstract
Modern devices in telecommunication are complicated structures. The complete analysis can be done analytically only in exceptional cases. Therefore, numerical methods have to be used. These methods have different levels of numerical/analytic effort. One method with a low analytic part is the finite difference time domain method (see e.g. [11), with a discretization in all spatial directions and in time.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. Taflove, The Finite-Difference Time-Domain Method, Computational Electrodynamics. Artech house, inc, Norwood, MA, 1995.
R. Pregla and W. Pascher, “The Method of Lines”, in Numerical Techniques for Microwave and Millimeter Wave Passive Structures, T. Itoh, (Ed.), pp. 381–446. J. Wiley Publ., New York, USA, 1989.
R. Pregla, “MoL-BPM Method of Lines Based Beam Propagation Method”, in Methods for Modeling and Simulation of Guided-Wave Optoelectronic Devices (PIER 11), W. P. Huang, (Ed.), Progress in Electromagnetic Research, pp. 51–102. EMW Publishing, Cambridge, Massachusetts, USA, 1995.
R. Pregla and S. F. Helfert, “Modeling of Microwave devices with the method of lines”, in Recent Research developments in Microwave Theory & Techniques, B. Beker and Y. Chen, (Eds.), pp. 145–196. Research Signpost, Kerala, India, 2002.
S. F. Helfert and R. Pregla, “The method of lines: a versatile tool for the analysis of waveguide structures’; Electromagnetics,vol. 22, pp. 615–637, 2002, Invited paper for the special issue on ”Optical wave propagation in guiding structures“.
R. Pregla, “Efficient and Accurate Modeling of Planar Anisotropic Microwave Structures by the Method of Lines”, IEEE Trans. Microwave Theory Tech., vol. 50, pp. 1469–1479, June 2002.
S. F. Helfert and R. Pregla, “Efficient analysis of periodic structures’; J. Lightwave Technol., vol. 16, no. 9, pp. 1694–1702, Sep. 1998.
S. F. Helfert, “Efficient Analysis of Non Symmetric Periodic Optical Devices’; in OSA Integr. Photo. Resear. Tech. Dig., Victoria, Canada, Victoria, 1998, vol. 4, pp. 372–374.
R. Pregla, “Efficient Modeling of Periodic Structures’; AEU, vol. 57, pp. 185–189, 2003.
S. E Helfert, “Numerical stable determination of Floquet-modes and the application to the computation of band structures”, Opt. Quantum Electron.,vol. 36, pp. 87–107, 2004, Special Issue on Optical Waveguide Theory and Numerical Modelling.
L. Greda and R. Pregla, “Modeling of Planar Microwave Filters”, in European Microwave Week, Munich, Germany, 2003.
L. Greda and R. Pregla, “Hybrid Analysis of Three-Dimensional Structures by the Method of Lines Using Novel Nonequidistant Discretization”, in IEEE MTT-S Int. Symp. Dig., Seattle, USA, June 2002, pp. 1877–1880.
C.-C. Yu and K. Chang, “Novel compact elliptic-function narrow-band bandpass filters using microstrip open-loop resonators with coupled and crossing lines”, IEEE Trans. Microwave Theory Tech., vol. MTT-46, no. 7, pp. 952–958, 1998.
J. D. Joannopoulus, R. D. Meade, and J. N. Winn, Photonic crystals - Molding the flow of light, Princeton University Press, 1995.
Steven G. Johnson, Shanhui Fan, Pierre R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejski, “Guided modes in photonic crystal slabs”, Phys. Rev. B, vol. 60, no. 8, pp. 5751–5758, 1999.
S. E Helfert, “The method of lines for the calculation of band structures in photonic crystals”, in ICTON Conf, Warsaw, Poland, 2003, vol. 5, pp. 122–125.
R. Stoffer, H. J. W. M. Hoekstra, R. M. de Ridder, E. van Groesen, and F. P. H. van Beckum, “Numerical studies of 2D photonic crystals: Waveguides, coupling between waveguides and filters”, Opt. Quantum Electron.,vol. 32, pp. 947–961, 2000, Special Issue on Optical Waveguide Theory and Numerical Modelling.
A. Barcz, S. Helfert, and R. Pregla, “Modeling of 2D photonic crystals by using the Method of Lines”, in ICTON Conf, Warsaw, Poland, 2002, vol. 4, pp. 45–48.
A. Barcz, S.F. Helfert, and R. Pregla, “The method of lines applied to numerical simulation of 2D and 3D bandgap structures”, in ICTON Conf., Warsaw, Poland, 2003, vol. 5, pp. 126–129.
A. Barcz, S.F. Helfert, and R. Pregla, “Numerical analysis of couplers and novel filters with the method of lines”, in ICTON Conf, Wraclow, Poland, 2004, vol. 6, pp. 122–125.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Pregla, R., Helfert, S., Gręda, Ł., Barcz, A. (2004). The Impedance/Admittance Transformation Concept in Engineering Electrodynamics. In: Russer, P., Mongiardo, M. (eds) Fields, Networks, Computational Methods, and Systems in Modern Electrodynamics. Springer Proceedings in Physics, vol 97. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07221-9_16
Download citation
DOI: https://doi.org/10.1007/978-3-662-07221-9_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-06296-4
Online ISBN: 978-3-662-07221-9
eBook Packages: Springer Book Archive