Abstract
this article, we use the dynamic Green's function to produce a frequency-dependent magnetic vector potential A?(?) and derive expressions for the efficient (accurate and fast) computation of cylindrical components of the magnetic flux density vector B(?) as a function of the solenoid's geometric and material parameters. A(?) may be used to efficiently compute the frequency dependent flux linkage F(?), the complex inductance L(?), and the radiation patterns of the solenoid anywhere in space including both near-field and far-field regions, excluding the (source) regions of conducting wire. In addition, we propose the complex calibration coefficient ?(?) to account for the finite-radius conductor. Several numerical examples are provided to validate the proposed helical model against the superposition of circular loops. The proposed model is demonstrated for a wide range of applications across the spectrum from 60 Hz to 170 GHz, representing low-frequency power systems to high-frequency mm-wave communication systems. A plan is being developed for experimental validation of the model.