On the natural modes of helical structures
Abstract
Natural modes of helical structures are treated by using the periodic dyadic Green's functions in cylindrical coordinates. The formulation leads to an infinite system of onedimensional integral equations in reciprocal (Fourier) space. Due to the twisted structure of the waveguide together with a quasistatic assumption the set of nonzero coefficients in reciprocal space is sparse and the formulation can therefore be used in a numerical method based on a truncation of the set of coupled integral equations. The periodic dyadic Green's functions are furthermore useful in a simple direct calculation of the quasistatic fields generated by thin helical wires.
 Publication:

arXiv eprints
 Pub Date:
 February 2015
 DOI:
 10.48550/arXiv.1502.00496
 arXiv:
 arXiv:1502.00496
 Bibcode:
 2015arXiv150200496N
 Keywords:

 Physics  Classical Physics