Abstract
Virtual adjustable sources are introduced in equivalent network representation of boundary conditions. For this purpose, integral equations are to be solved simple application of analog Kirchoff’s and Ohm’s laws. These adjustable sources represent generalized trial quantities. In order to illustrate this proposed approach, equivalent network representation of lossy planar transmission lines with arbitrary metallization thickness is presented.
Résumé
Des sources virtuelles et ajustables sont introduites dans une représentation des conditions aux limites par un schéma équivalent. Les équations intégrales à résoudre sont alors déduites d’une simple application des lois de Kirchhoff et de la loi d’Ohm. Ces sources ajustables représentent des grandeurs d’essai généralisées. Afin d’illustrer la formulation, ces grandeurs sont introduites pour résoudre des problèmes aux limites classiques; puis le schéma équivalent des lignes de transmission planaires avec une épaisseur quelconque de metallisation à pertes est présenté.
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References
Rozzi (T. E.), Int Veld (G.H.). Field and network analysis of interacting step discontinuities in planar dielectric waveguides.IEEE Trans. MTT (Apr. 1979),27, no 4, pp. 303–309.
Harrington (R. F.), Mautz (J. R.). A generalized network formulation for aperture problems.IEEE Trans. AP (Nov. 1976), pp. 870–873.
Plumb (R. G.), Harrington (R. F.), Adams (A. T.). An electromagnetic model for multiconductor connectors.IEEE Trans. EC (Feb. 1990),32, no 1, pp. 38–52.
Itoh (T.). Spectral domain immittance approach for dispersion characteristics of generalized printed transmission lines.IEEE Trans. MTT (Jul. 1980),28, no 7, pp. 733–736.
Vegni (L.), Cicchetti (R.), Capece (P.). Spectral dyadic Green’s function formulation for planar integrated structures.IEEE Trans. AP (Aug. 1988), pp. 1057–1065.
Liou (J.-C.), Lau (K. M.). Analysis of slow-wave transmission lines on multi-layered semiconductor structures including conductor loss.IEEE Trans. MTT (May 1993),41, no 8, pp. 824–829.
Marcuvitz (N.), Schwinger (J.). On the representation of the electric and magnetic fields produced by currents and discontinuities in wave guides I.J. Appl. Phys. (June 1951),22, no 6.
Sorrentino (R.). Numerical techniques for planar and quasi-planar millimeter-wave passive components.Ann. Telecommunic. (1988),43, n 7–8, pp. 392–404.
Itoh (T.). Numerical techniques for microwave and millimeter- wave passive structures.John Wiley & Sons (1989).
Helard (M.), Citerne (J.), Picon (O.), Fouad Hanna (V.). Theoretical and experimental investigation of finline discontinuities.IEEE Trans. MTT (Oct. 1985),33, pp. 994–1003.
Harrington (R. F.). Field computation by moment methods.Macmillan, New York (1968).
Souny (B.), Aubert (H.), Baudrand (H.). Elimination of spurious solutions in the calculation of eigenmodes by moment method.IEEE Trans. MTT (Jan. 1996),44, pp. 154–157.
Bouzidi (F.), Aubert (H.), Bajon (D.), Baudrand (H.), Fouad Hanna (V.). Equivalent circuit representation of lossy coplanar waveguides.Ann. Telecommunic (Nov.-Dec. 1992),47, no 11–12, pp. 551–554.
Bouzidi (F.), Aubert (H.), Bajon (D.), Baudrand (H.). Equivalent network representation of boundary conditions involving generalized trial quantities : application to lossy transmission lines with finite metallization thickness.IEEE Trans. MTT (1996).
Aubert (H.), Souny (B.), Baudrand (H.). Origin and avoidance of spurious solutions in transverse resonance method.IEEE Trans. MTT (March 1993)41, pp. 450–456.
Rozzi (T.), Moglie (F.), Morini (A.), Marchionna (E.), Politi (M.). Hybrid modes, substrate leakage, and losses of slotline at millimeter-wave frequencies.IEEE Trans. MTT (Aug. 1990),38, no 8, pp. 1069–1078.
Das (N. K.), Pozar (D. M.). Full-wave spectral-domain computation of material, radiation and guided wave losses in infinite multilayered printed transmission lines.IEEE Trans. MTT (Jan. 1991),39, n 1, pp. 54–63.
Liou (J. C.), Lau (K. M.). Analysis of slow-wave transmission lines on multi-layered semiconductor structures including conductor losses.IEEE Trans. MTT (May 1993),41, no 5, pp. 824–829.
Van Deventer (T. E.), Katehi (P. B.), Cangellaris (A. C.). An integral equation method for the evaluation of conductor and dielectric losses in high-frequency interconnects.IEEE Trans. MTT (Dec. 1989),37, no 12, pp. 1964–1972.
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Baudrand, H., Aubert, H., Bajon, D. et al. Equivalent network representation of boundary conditions involving generalized trial quantities. Ann. Télécommun. 52, 285–292 (1997). https://doi.org/10.1007/BF02996071
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DOI: https://doi.org/10.1007/BF02996071
Key words
- Electromagnetism
- Equivalent circuit
- Boundary conditions
- Integral equation
- Kirchhoff law
- Ohm law
- Planar line