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Progress In Electromagnetics Research M | ISSN: 1937-8726 |

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## IMPROVED NUMERICAL METHOD FOR COMPUTING INTERNAL IMPEDANCE OF A RECTANGULAR CONDUCTOR AND DISCUSSIONS OF ITS HIGH FREQUENCY BEHAVIORBy M. Matsuki and A. Matsushima
Abstract:
An efficient numerical solution is been developed to compute the impedances of rectangular transmission lines. Method of moments is applied to integral equations for the current density, where the cross section is discretized, to improve the convergence, by a nonuniform grid that obeys the skin effect. Powerfulness of this approach up to rather high frequencies is verified by comparing with asymptotic formulas and other references. Detailed discussion is given for the current density distribution and its effect to the impedance, especially for a high frequency range.
2. Paul, C. R., 3. Wadell, B. C., 4. Gunston, M. A. R., 5. Cockcroft, J. D., "Skin effect in rectangular conductors at high frequencies," 6. Bickley, W. G., "Two-dimensional potential problems for the space outside a rectangle," 7. Flax, L. and J. H. Simmons, "Magnetic field outside perfect rectangular conductors," 8. Pettenpaul, E., H. Kapusta, A. Weisgerber, H. Mampe, J. Luginsland, and I. Wolff, "CAD models of lumped elements on GaAs up to 18 GHz," 9. Rong, A. and A. C. Cangellaris, "Note on the definition and calculation of the per-unit-length internal impedance of a uniform conducting wire," 10. Haefner, S. J., "Alternating current resistance of rectangular conductors'," 11. Weeks, W., L. Wu, M. McAllister, and A. Singh, "Resistive and inductive skin effect in rectangular conductors," 12. Faraji-Dana, R. and Y. Chow, "Edge condition of the field and AC resistance of a rectangular strip conductor'," 13. Barr, A. W., "Calculation of frequency-dependent impedance for conductors of rectangular cross section," 14. Sarkar, T. K. and A. R. Djordjevic, "Wideband electromagnetic analysis of finite-conductivity cylinders," 15. Antonini, G., A. Orlandi, and C. R. Paul, "Internal impedance of conductors of rectangular cross section," 16. Heinrich, W., "Comments on 'Internal impedance of conductors of rectangular cross section'," 17. Berleze, S. L. M. and R. Robert, "Skin and proximity effects in nonmagnetic conductors," 18. Matsushima, A. and H. Sakamoto, "Application of wire model to calculation of impedance of transmission lines with arbitrary cross sections," 19. Harrington, R. F., 20. Higgins, T. J. and Appl. Phys., "Formulas for the geometrical mean distance of rectangular areas and line segments,", Vol. 14, No. 2, 188-195, 1943. |

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