Further analysis of propagation of plasma waves in a spoke-wheel magnetic field

A recent study by R. L. Liboff of electromagneti c wave propagation in plasmas with a specific type of two-d im ens ional a ppli ed magnetic fi eld is co ntinu ed in thi s pape r.The plasma is assumed to be of uniform de ns it y in ge neral, and a "spoke-wheel" magn e ti c fi eld is co nsid ered which varies as th e inve rse radius.Perturbation seri es a re obtain ed for th e fir st Fouri er co mpon ent of th e elec tri c fi eld for seve ral limitin g cases .Both th e sepa rate cases of a radial and a circ ular magneti c fi eld are consid e red in th e present work, th e former in greater de tail, and colli sions are included.By suitable no ndim e nsionalization, two parameters a ri se na turall y in the prese nt analys is, thu s affordin g a more ge ne ral soluti on which should be particularly useful in subseq ue nt a ppli catio ns.