Ultraspherical tapers

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Ultraspherical tapers

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© The Institution of Electrical Engineers
Published

Tapered transmission lines for impedance matching at microwave frequencies are obtained from quarter-wave transformers using ultraspherical polynomials. It is shown that a free parameter can be suitably chosen so as to optimise energy transmission.

Inspec keywords: transmission lines; impedance matching; high-frequency transformers

Other keywords: ultraspherical polynomials; microwave frequencies; impedance matching; quarter wave transformers; ultraspherical tapers; energy transmission optimisation

Subjects: Inductors and transformers

References

    1. 1)
      • R.E. Collin . The optimum tapered transmission line matching session. Proc. IRE , 539 - 548
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      • H.J. Scott . The hyperbolic transmission line as a matching section. Proc IRE , 1654 - 1657
    3. 3)
      • E.C. Titchmarsh . (1939) , The theory of functions.
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      • H.A. Wheeler . Transmission lines with exponential tapers. Proc IRE , 65 - 71
    5. 5)
      • F. Bolinder . Fourier transforms in the theory of inhomogeneous lines. Proc IRE
    6. 6)
      • P.A. Massaro , V. Picciarelli . Legendre tapers. Electron. Lett. , 823 - 824
    7. 7)
      • M. Abramowitz , I. Stegun . (1964) , Handbook of mathematical functions.
    8. 8)
      • R.F.H. Young . Parabolic transmission line. Proc IRE
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