Analysis of Electromagnetic Fields and Waves: The Method of Lines

Analysis of Electromagnetic Fields and Waves: The Method of Lines

Volumn , Issue , 2008, Pages 1-507

  Pregla, Reinhold ^a   Helfert, Stefan ^b  

^a UNIVERSITY OF HAGEN   (Germany)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84889282296     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9780470058503     Document Type: Book

References (280)

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137. W. Pascher and R. Pregla, 'Analysis of Curved Optical Waveguides by the Vectorial Method of Lines', in Int. Conf. on Integrated Optics and Optical Fibre Communications, Paris, France, 1991, pp. 237-240.
138. W. Pascher and R. Pregla, 'Vectorial Analysis of Bends in Optical Strip Waveguides by the Method of Lines', Radio Sci., vol. 28, pp. 1229-1233, 1993.
139. R. Pregla, 'The Method of Lines for the Analysis of DielectricWaveguides Bends', J. Lightwave Technol., vol. 14, no. 4, pp. 634-639, Apr. 1996.
140. I. A. Goncharenko, S. F. Helfert and R. Pregla, 'General Analysis of Fibre Grating Structures', J. of Optics A: Pure and Appl. Optics, vol. 1, pp. 25-31, 1999.
141. I. A. Goncharenko, S. F. Helfert and R. Pregla, 'Analysis of Nonlinear Properties of Fibre Grating Structures', AEÜ, vol. 53, pp. 25-31, 1999.
142. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Chapter 9, Dover Publ., New York, 1965.
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144. D. Kremer and R. Pregla, 'The Method of Lines for the Hybrid Analysis of Multilayered Cylindrical Resonator Structures', IEEE Trans. Microwave Theory Tech., vol. MTT-45, no. 12, pp. 2152-2155, Dec. 1997.
145. 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.
146. P. Stuwe, 'Properties of Optical Waveguides', in Optical Sensors, W. Goepel (Ed.), Sensors, vol. 6, pp. 143-172, VCH-Verlag, Weinheim, Germany, 1992.
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149. K. P. Ivanov, V. I. Miteva, R. Pregla and W. Pascher, 'Analysis of Solid-Plasma CoaxialWaveguide by the Method of Lines', in Bianisotropics'97, Glasgow, June 1997, pp. 157-160.
150. C. M. Krowne, 'Waveguiding Structures Employing the Solid-State Magnetoplasma Effect for Microwave and Milimetre-Wave Propagation', IEE Proc. -H, Microwave Antennas Propagation, vol. 140, no. 3, pp. 147-164, 1993.
151. F. J. Schmückle and R. Pregla, 'The Method of Lines for the Analysis of Planar Waveguides with Finite Metallization Thickness', IEEE Trans. Microwave Theory Tech., vol. MTT-39, pp. 101-107, 1991.
152. F. J. Schmückle and R. Pregla, 'The Method of Lines for the Analysis of Lossy Planar Waveguide Structures', IEEE Trans. Microwave Theory Tech., vol. MTT-38, pp. 1473-1479, 1990.
153. H. Diestel, 'A Uniform Analysis of Straight and Circular Planar Multiconductor Systems', AEÜ, vol. 42, pp. 54-58, 1988.
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161. R. Pregla and O. Conradi, 'Modeling of Uniaxial Anisotropic Fibers with Noncircular Cross-Section by the Method of Lines', J. Lightwave Technol., vol. 21, pp. 1294-1299, 2003.
162. B. Widenberg and A. Karlsson, 'Investigation of Dielectric Waveguides with Arbitrary Cross-Section Using the T-Matrix-Method', in U.R.S.I intern. Symp. Electromagn. Theo., Victoria, Canada, 2001, pp. 419-421.
163. G. Matthaei, L. Young and E. M. T. Jones, Microwave Filters, Impedance-Matching Networks, and Coupling Structures, Artech House, Dedham, MA, 1980.
164. R. Pregla, 'The Method of Lines as Generalized Transmission Line Technique for the Analysis of Multilayered Structures', AEÜ, vol. 50, no. 5, pp. 293-300, Sep. 1996.
165. R. E. Collin and F. J. Zucker (Eds.), Antenna Theory, McGraw-Hill, New York, USA, 1969.
166. Z. Shen and R. H. MacPhie, 'Modeling of a Monopole Partially Buried in a Grounded Dielectric Substrate by the Modal Expansion Method', IEEE Trans. Antennas. Propagation, vol. 44, no. 11, pp. 1535-1536, Nov. 1996.
167. C. L. Chi and N. G. Alexopoulos, 'Radiation by a Probe Through a Substrate', IEEE Trans. Antennas. Propagation, vol. 34, pp. 1080-1091, 1986.
168. S. Pinhas, S. Shtrikman and D. Treves, 'Moment-Method Solution of the Center-Fed Microstrip Disk Antenna Invoking Feed and Edge Current Singularities', IEEE Trans. Antennas. Propagation, vol. 37, no. 12, pp. 1516-1522, Dec. 1989.
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170. S. Helfert, 'Analysis of Curved Bends in Arbitrary Optical Devices using Cylindrical Coordinates', Opt. Quantum Electron., vol. 30, pp. 359-368, 1998.
171. R. Pregla, 'Modeling of OpticalWaveguides and Devices by Combination of the Method of Lines and Finite Differences of Second Order Accuracy', Opt. Quantum Electron., vol. 38, no. 1-3, pp. 3-17, 2006, Special Issue on Optical Waveguide Theory and Numerical Modelling.
172. K. P. Ivanov, 'Propagation Along Azimuthally Magnetized Ferrite-Load Circular Guide', Radio Sci., vol. 19, pp. 1305-1310, 1984.
173. R. Pregla, 'The Impedance/Admittance Transformation-An Efficient Concept for the Analysis of Optical Waveguide Structures', in OSA Integr. Photo. Resear. Tech. Dig., Santa Barbara, USA, July 1999, pp. 40-42.
174. R. Pregla, 'Novel Algorithms for the Analysis of Optical Fiber Structures with Anisotropic Materials', in Int. Conf. on Transparent Optical Networks, Kielce, Polen, June 1999, pp. 49-52.
175. R. Pregla, 'Analysis of Planar Microwave and Millimeterwave Circuits with Anisotropic Layers Based on Generalized Transmission Line Equations and on the Method of Lines', in IEEE MTT-S Int. Symp. Dig., Boston, USA, June 2000, vol. 1, pp. 125-128.
176. R. Pregla, J. Gerdes, E. Ahlers and S. Helfert, 'MoL-BPM Algorithms for Waveguide Bends and Vectorial Fields', in OSA Integr. Photo. Resear. Tech. Dig., New Orleans, USA, 1992, vol. 10, pp. 32-33.
177. R. Pregla, 'Higher Order Approximation for the Difference Operators in the Method of Lines', IEEE Microwave Guided Wave Lett., vol. 5, no. 2, pp. 53-55, 1995.
178. A. Weisshaar and V. K.Tripathi, 'Frequency-Dependent Transmission Characteristics of Curved Microstrip Bends', Electron. Lett., vol. 25, no. 17, pp. 1138-1139, 1989.
179. R. Pregla and E. Ahlers, 'New Vector-BPM in Cylindrical Coordinates Based on theMethod of Lines', in OSA Integr. Photo. Resear. Tech. Dig., Dana Point, USA, Feb. 1995, vol. 7, pp. 24-26.
180. I. A. Goncharenko, S. F. Helfert and R. Pregla, 'Radiation Loss and Mode Field Distribution in Curved Holey Fibers', AEÜ, vol. 59, pp. 185-191, 2005.
181. 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.
182. E. Ahlers and R. Pregla, '3D-Modeling of Concatenations of Straight and Curved Waveguides', Opt. Quantum Electron., vol. 29, pp. 151-156, Feb. 1997.
183. R. Pregla and E. Ahlers, 'Method of Lines for Analysis of Arbitrarily CurvedWaveguide Bends', Electron. Lett., vol. 30, no. 18, pp. 1478-1479, Sep. 1994.
184. R. Pregla and E. Ahlers, 'The Method of Lines for Analysis of Discontinuities in Optical Waveguides', Electron. Lett., vol. 29, no. 21, pp. 1845-1846, Oct. 1993.
185. R. Pregla, 'Efficient Modeling of Periodic Structures', AEÜ, vol. 57, pp. 185-189, 2003.
186. I. A. Goncharenko, S. F. Helfert and R. Pregla, 'General Analysis of Fibre Grating Structures', J. of Optics A: Pure and Appl. Optics, vol. 1, pp. 25-31, 1999.
187. 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.
188. S. F. Helfert, 'Efficient Analysis of Non Symmetric Periodic Optical Devices', in OSA Integr. Photo. Resear. Tech. Dig., Victoria, Canada, Mar. 1998, vol. 4, pp. 372-374.
189. S. F. Helfert, 'Modeling of Structures with Curved Boundaries: Applied to the Determination of Band Structures in Photonic Crystals', in ICTON Conf., Wraclow, Poland, 2004, vol. 6, pp. 118-121.
190. S. F. Helfert, 'Determination of Floquet-modes in Asymmetric Periodic Structures', Opt. Quantum Electron., vol. 37, pp. 185-197, 2005, Special Issue on Optical Waveguide Theory and Numerical Modelling.
191. S. F. Helfert and R. Pregla, 'Efficient Analysis of Periodic Structures', J. Lightwave Technol., vol. 16, no. 9, pp. 1694-1702, Sep. 1998.
192. J. Čtyroký, S. Helfert and R. Pregla, 'Analysis of a Deep Waveguide Bragg Grating', Opt. Quantum Electron., vol. 30, pp. 343-358, 1998.
193. J. L. Archambault and S. G. Grubb, 'Fiber Gratings in Lasers and Amplifiers', J. Lightwave Technol., vol. 15, no. 8, pp. 1378-1390, 1997.
194. J.-Y. Raguin, H.-G. Unger and D. M. Vavriv, 'Recent Advances in the Analysis of Space-Harmonic Millimeter-Wave Magnetrons with Secondary-Emission Cathode', in Int. Symp. on Recent Advances in Microwave Technology, Malaga, Spain, Dec. 1999, pp. 63-66.
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199. B. Kuhlow and Przyrembel, Heinrich Hertz Institut Berlin, private communication.
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202. 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.
203. 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.
204. 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.
205. R. Pregla and S. F. Helfert, 'The Method of Lines for the Analysis of Photonic Bandgap Structures', in Electromagnetic Theory and Applications for Photonic Crystals, Kiyotoshi Yasumoto (Ed.), pp. 295-350. CRC Press, Boca Raton Fl, London, 2006.
206. R. Pregla, 'Analysis of Waveguide Junctions and Sharp Bends with General Anisotropic Material by Using Orthogonal Propagating Waves', in ICTON Conf., Warsaw, Poland, 2003, vol. 5, pp. 116-121.
207. I. A. Goncharenko, S. F. Helfert and R. Pregla, 'Radiation Loss and Mode Field Distribution in Curved Holey Fibers', AEÜ, vol. 59, pp. 185-191, 2005.
208. I. A. Goncharenko, S. F. Helfert and R. Pregla, 'Analysis of Nonlinear Properties of Fibre Grating Structures', AEÜ, vol. 53, pp. 25-31, 1999.
209. N. H. Koster and R. H. Jansen, 'The Microstrip Step Discontinuity: A Revised Description', IEEE Trans. Microwave Theory Tech., vol. MTT-34, pp. 213-223, 1986.
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212. R. Pregla, 'The Analysis of Wave Propagation in General Anisotropic Multilayered Waveguides by the Method of Lines', in U.R.S.I Intern. Symp. Electromagn. Theo., Thessaloniki, Greece, May 1998, pp. 51-53.
213. R. Pregla, 'A Generalized Algorithm for Analysis of Planar Multilayered AnisotropicWaveguide Structures by the Method of Lines', AEÜ, vol. 52, no. 2, pp. 94-98, 1998.
214. Y. Chen and B. Beker, 'Study of Microstrip Step Discontinuities on Bianisotropic Substrates Using the Method of Lines and Transverse Resonance Technique', IEEE Trans. Microwave Theory Tech., vol. 42, no. 10, pp. 1945-1950, Oct. 1994.
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217. S. B. Worm and R. Pregla, 'Hybrid Mode Analysis of Arbitrarily Shaped Planar Microwave Structures by the Method of Lines', IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 191-196, 1984.
218. 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.
219. M. Bozzi, L. Perregrini, A. A. Melcón, M. Gugliemi and G. Gonciauro, 'MoM/BI-RME Analysis of Boxed MMICs with Arbitrarily Shaped Metallizations', IEEE Trans. Microwave Theory Tech., vol. MTT-49, no. 12, pp. 2227-2234, 2001.
220. J. M. Rebollar, J. Esteban and J. E. Page, 'Fullwave Analysis of Three and Four-Port Rectangular Waveguide Junctions', IEEE Trans. Microwave Theory Tech., vol. MTT-42, no. 2, pp. 256-263, Feb. 1994.
221. F. Alimenti, P. Mezzanotte, L. Roselli and R. Sorrentino, 'A Revised Formulation of Modal Absorbing and Matched Modal Source Boundary Conditions for the Efficient FDTD Analysis of Waveguide Structures', IEEE Trans. Microwave Theory Tech., vol. MTT-48, no. 1, pp. 50-59, 2000.
222. J. Machac and W. Menzel, 'On the Design of Waveguide-to-Microstrip and Waveguide-to-Coplanar Line Transitions', in European Microwave Conference, Madrid , Spain, 1993, pp. 615-616.
223. L. Grȩda 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.
224. L. Grȩda and R. Pregla, 'Analysis of Coplanar T-junctions by the Method of Lines', AEÜ, vol. 55, pp. 313-318, 2001.
225. L. Grȩda and R. Pregla, 'Efficient Analysis of Waveguide-to-Microstrip and Waveguide-to-Coplanar Line Transitions', in IEEE MTT-S Int. Symp. Dig., Phoenix, USA, May 2001, pp. 1241-1244.
226. R. Pregla and L. A. Greda, 'Modeling of Waveguide Junctions with General Anisotropic Material by Using Orthogonal Propagating Waves', in URSI-B-Symposium, Pisa/Italy, May 2004.
227. A. Barcz, 'Analysis of the Wave Propagation in Planar Structures with Substrates of Magnetized Ferrites', PhD thesis, FernUniversität in Hagen, 2006.
228. E. Kühn, 'A Mode-Matching Method for Solving Field Problems inWaveguide and Resonator Circuits', AEÜ, vol. 27, no. 12, pp. 511-518, 1973.
229. R. Pregla, 'MoL-Mode Analysis with Precise Resolution by an Enhanced and Generalized Line Algorithm', in IEEE MTT-S Int. Symp. Dig., Baltimore, USA, June 1998, vol. 3, pp. 1543-1546.
230. H. Z. Zhang, 'A Wideband Orthogonal-Mode Junction Using a Junction of a Quad-Ridged Coaxial Waveguide and Four Ridged Sectoral Waveguides', IEEE Microw. Wireless Compon. Lett., vol. 5, pp. 172-174, 2002.
231. J.-Y. Raguin, H.-G. Unger and D. M. Vavriv, 'Recent Advances in the Analysis of Space-Harmonic Millimeter-Wave Magnetrons with Secondary-Emission Cathode', in Int. Symp. on Recent Advances in Microwave Technology, Malaga, Spain, Dec. 1999, pp. 63-66.
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233. M. Sachidananda, 'Rigorous Analysis of a Groove Guide', IEE Proc. -H, Microwave Antennas Propagation, vol. 139, pp. 449-452, May 1992.
234. G. Kowalski and R. Pregla, 'Dispersion Characteristics of Shielded Microstrips with Finite Thickness', AEÜ, vol. 25, pp. 193-196, 1971.
235. R. Pregla, 'The Analysis of General Axially Symmetric Antennas with a Coaxial Feed Line by the Method of Lines', IEEE Trans. Antennas. Propagation, vol. 46, no. 10, pp. 1433-1443, Oct. 1998.
236. W. Pascher and R. Pregla, 'Analysis of RectangularWaveguide Junctions by the Method of Lines', IEEE Trans. Microwave Theory Tech., vol. MTT-43, no. 12, pp. 2649-2653, Dec. 1995.
237. R. Pregla, 'MoL Analysis of Rectangular Waveguide Junctions by an Impedance/Admittance Transfer Concept and Crossed Discretisation Lines', Int. J. of Electronics and Communications (AEÜ), vol. 53, no. 2, 1999, pp. 83-91.
238. R. Pregla, 'Analysis of Planar Microwave and Millimeterwave Circuits with Anisotropic Layers on Generalized Transmission Line Equations and on the Method of Lines', IEEE MTT-S Int. Microwave Symp. Dig., Boston, USA, 2000, pap. TU2E-5.
239. R. Pregla, 'Efficient and Accurate Modeling of Planar Anisotropic Microwave Structures by the Method of Lines', IEEE Trans. on Microwave Theory and Tech., vol. 50, no. 6, 2002, pp. 1469-1479.
240. L. Vietzorreck and R. Pregla, 'Analysis of MMIC Junctions and Multiports by the Method of Lines', IEEE MTT-S Int. Microwave Symp. Dig., Baltimore, USA, 1998, pp. 1547-1550.
241. R. Pregla, 'Efficient and Accurate Modeling of Planar Microwave Structures with Anisotropic Layers by the Method of Lines (MoL)', ISRAMT'99, Malaga, Spain, Dec. 1999, pp. 699-703.
242. R. Pregla, 'Efficient Modeling of Conformal Antennas', Millennium Conf. on Antennas and Propagation, Davos, Switzerland, Apr. 2000, paper 0682.
243. R. Pregla, 'General Formulas for the Method of Lines in Cylindrical Coordinates' IEEE Trans. on Microwave Theory and Tech., vol. 43, no. 7, 1995, pp. 1617-1620.
244. V. K. Tripathi, 'On the Analysis of Symmetrical Three-Line Microstrip Circuits', IEEE Trans. Microwave Theory Tech., vol. MTT-25, no. 9, pp. 726-729, Sep. 1977.
245. R. Pregla, 'Analysis of Planar Waveguides with Arbitrary Anisotropic Material', in U.R.S.I Intern. Symp. Electromagn. Theo., Victoria, Canada, May 2001, pp. 425-427.
246. L. B. Felsen andN. Marcuvitz (Eds.), Radiation and Scattering of Waves, IEEE Press, New York, USA, 1996.
247. R. Pregla, 'Method of Lines for the Analysis of Multilayered Gyrotropic Waveguide Structures', IEE Proc. -H, Microwave Antennas Propagation, (Special Issue On Gyroelectric Waveguides And Their Circuit Application), vol. 140, no. 3, pp. 183-192, June 1993.
248. 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.
249. R. Pregla, 'Modeling of Optical Waveguide Structures with General Anisotropy in Arbitrary Orthogonal Coordinate Systems', IEEE J. of Sel. Topics in Quantum Electronics, vol. 8, pp. 1217-1224, Dec. 2002.
250. R. Pregla, 'The Impedance/Admittance Transformation-An Efficient Concept for the Analysis of Optical Waveguide Structures', in OSA Integr. Photo. Resear. Tech. Dig., Santa Barbara, USA, July 1999, pp. 40-42.
251. R. Pregla, 'Analysis of Waveguide Junctions and Sharp Bends with General Anisotropic Material by Using Orthogonal Propagating Waves', in ICTON Conf., Warsaw, Poland, 2003, vol. 5, pp. 116-121.
252. R. Pregla, 'Efficient Modelling of Conformal Antennas', in Proc. of the 1st European Workshop on Conformal Antennas, Karlsruhe, Germany, 29. Oktober 1999, pp. 36-39.
253. R. Pregla, 'Modeling of Waveguide Structures with General Anisotropy in Arbitrary Orthogonal Coordinate Systems', in Proceedings of IGTE Symp., Graz, Austria, Sep. 2002.
254. R. Pregla and L. Greda, 'Modeling of Waveguide Junctions with General Anisotropic Material by Using Orthogonal Propagating Waves', in URSI-B Symp., Pisa, Italy, May 2004.
255. M. Koshiba, K. Hayata and M. Suzuki, 'Approximate Scalar Finite-Element Analysis of Anisotropic Optical Waveguides With Off-Diagonal Elements in a Permittivity Tensor', IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 587-593, 1984.
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258. R. Pregla and D. Kremer, 'The Method of Lines for the Analysis of Dipoles and Horn Antennas', in Progress In Electromagnetic Research Symp. (PIERS), Seattle, WA, USA, July 1995, p. 882.
259. D. Kremer and R. Pregla, 'Hybrid Analysis of Conical Horn Antennas by the Method of Lines', in Kleinheubacher Berichte (German URSI Symposium), vol. 59, 1995, pp. 411-417.
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261. R. Pregla, 'A Generalized Algorithm for Analysis of Planar Multilayered Anisotropic Waveguide Structures by the Method of Lines', Int. J. Electronics and Comm. (AE Ü), vol. 52, no. 2 , pp. 94-98, Mar. 1998, Corr.:vol. 53, no. 1 , Jan. 1999.
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263. R. Pregla, 'Novel FD-BPM for Optical Waveguide Structures with Isotropic or Anisotropic Material', Eur. Conf. on Integrated Optics 1999, ECIO'99, Apr. 14-16 1999, Torino, Italy, pp. 55-58.
264. R. Pregla, 'Novel Algorithms for the Analysis of Optical Fiber Structures with Anisotropic Materials', Int. Conf. on Transparent Optical Networks, June 1999, Kielce, Poland, pp. 49-52.
265. R. Pregla, 'Efficient Analysis of Conformal Antennas with Anisotropic Material', AP 2000 Millennium Conf. on Antennas and Propagation (paper 0682), Davos, Switzerland, 9-14 April 2000. ESA Publ. Division, ESTEC, NL-2200 AG Noordwijk, CD: ISBN 92-9092-776-3.
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