rRor.iG.-tih'.s ('/■ i-.i.iAiKii II III s (II I Ik iiir. i..ii<iiiii\ 



of the efTcct of ions of different kinds have heen nniitled, l)ul it is to 

 he understocxl that the dielectric constants «, «, etc., are Ixiilt up 

 from the contriluitions of all t\pes of ions. Tlius for an ion of mass 



.1/ we nuist put a for a, «„ for w,„ in e(iii.ilions (.5). 



The etTective dielectric constant, instead nl Ixinv; unity, lias thus 

 the structure: 



«2 / 



and we may write ecination (2) as 



4jr/= (t)E 



which has the significance of the scalar equations (3). Thus / is a 

 linear vector function of E and the operator («) is skew symmetric, 

 indicating a rotator>' effect about the axis of z. 



(The general case in which h has the three comjionents (li\ //; hi) 

 residts in a dielectric constant ha\ing the structure 



(«i — /Ss — /as —^i + iof. \ 



— /3j — taj — /3| + ;'ni «3 ' 



of which the above is a special case. With tiiis \aiuc of (e) the equa- 

 tion (4) below contains the general solution of our problem.) 



Let H\ be the magnetic force associated with E in the wa\e so that 



ccurl f/, = (f) E 

 ccurl E=-Hi. 

 Kliminating Hi from these equations we get 



-V^£+rdivE = 4'(0E (4) 



or in scalar form 



-^'^4-:^ div E=4'(ei X-iaY), 



