2-dimensional field analysis and input impedance of a finite-length solenoidal coil

Abstract
The circumferential excitation-current sheet modelling a short coil immersed in an infinitely long circular-cylindrical multiregion structure is represented by a continuous spectrum of travelling waves; each energises an equivalent network that consists of a set of nonuniform transmission lines connected in cascade. The formulation in Bessel-function form is completely avoided by replacing each transmission line by a large number of T-circuits in cascade. The input ‘circuital impedance’ of the solenoid is then related to the input ‘tensorial surface-wave impedance’ of the equivalent network seen when looking from the excitation radius.

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