The properties of VLF propagating mod es are bri efl y reviewed and simplified eq uation s are presented whi ch can be employed in calculating t he fi elds p roduced. Expe rimentall y determin ed exc itation factors are co mpared with t heoretical curves obtained by Wa it an d fo un d to agree rathcr closely. At tenu ation rates are shown as a function of frequenc y and ar e fou nd t o agree ra t her closel y wit h calculated valu es us ing a proposed simplified p er turbation solut ion for atten uation ra tes based on r eflec t ion coeffic ients at t he ground an d io nosphere. When e mploying values of ionospheric re flection coeffi cients recent ly presen ted by vVa it and vValters, the nonrec iprocal effects i n atte nuation ra te are fo und both t heore t ically and exper imen ta ll y to be much grea ter i n t he 10 kc/s region t han in t he 20 t o 30 kc/s r egion. Fin all y, expcr imcn La l field strengt h ve rsus d istance data are compa red wit h mode calculat ions and fo un ei to compare well all t he way from 1 m ega meter ou t t o and i nclud ing fi elds at t he a nt ipode (20 megame ter s) .
The electrical proper tie;:; of s now an d glacial ice n ear 0° C h ave been observed over the frequ ency range from 20 cycles per seco nd to 200 kil ocycles per seco nd. In general , the co ndu ctiv ity of s now an d glacial icc is fo und to be much hig her tha n t hat fOI' purc ice. T hi s is particularly so at fr equ encies below 2 kilocycles per second. Th e magnitude of t h e complex con du ctivity for glacia l icc appears Lo in crease wit h temperat ure at frequ encies below 200 cycles per seco nd a nd Lo d eCl'case with temperaLure a bove this fr equency. I Contribut ion from Central R.adio Propaga tion Laboratory, National Bureau of Standards, Boulder, Colo. ' The studi es contaiJl e
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