Explicit expressions for geometrical dimensions of symmetrical coupled striplines

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Explicit expressions for geometrical dimensions of symmetrical coupled striplines

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© The Institution of Electrical Engineers
Published

It is shown how the inverse solution of certain wave-impedance problems can be found explicitly by using Jacobi's theta functions. It is possible to find directly the geometrical dimensions, given the transmission-line wave-impedance parameters. Inverse formulas for a shielded single stripline and coupled symmetrical striplines are presented. The numerical computations are simplified by the excellent convergence properties of Jacobi's theta functions.

Inspec keywords: electrical impedance; strip lines; coupled circuits; electronics applications of computers

Other keywords: electronics applications of computers; electrical impedance; striplines

Subjects: Electronic engineering computing; Waveguides and microwave transmission lines

References

    1. 1)
      • F. Tricomi . (1948) , Elliptische funktionen.
    2. 2)
      • W. Magnus , F. Oberhettinger . Die Berechnung des Wellen-widerstandes einer Bandleitung mit kreisförmigen bzw. rechteckigem Aussenleiterquerschnitt. Arch. Elektrotech. , 380 - 390
    3. 3)
      • Linnér, L.J.P.: `Programming the Compucorp 322 G', IR 7303, 1973.
    4. 4)
      • S.B. Cohn . Shielded coupled-strip transmission line. IRE Trans. , 29 - 38
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