30 THE BELL SYSTEM TECHNICAL JOURNAL, JANUARY 1952 



which can be combined to: 



lii- 5o = V X (V X Ao - Tn X Ih) - Tn X (V X h - Tn X h) (9) 



Writing Equation (9) in component form gives: 



CO ^8 7 d^hy d\z d^hx d^hx „ fdhy dh 



c2 ' dydx dzdx dy^ dz^ ^\dy dz 



, ^^ / dhx , dhx\ ^ ( dhy . d}u\ (10) 



+ T^ixinxhx + riyhy + 7i,Jh) — T^hx 



c/e d\x^ dX _^ _^_%: _ Yn (— + — 



~^ " ~ dydx dydz dx^ dz" ^^^ \ dx dz 



+ V\y{nxhx + riyhy + Uzh^ — T'hy 



w^e , _ d hx , d hy _ d hz _ d hz 

 & ^ dzdx dzdy dx- dy- 



— r(nx — ^+Wj/ — ^)+ T^Hzinxhx + Wj^/iy + wjiz) 



- T% 



where the subscript has been dropped from all components for con- 

 venience. 



If the wave in question is an infinite plane wave being propagated 

 along the z axis, then: 



nx = tly = 0, 7ij = 1 



and the components of ho are constants, and h^ is zero. For this particular 

 case, Equations (10), (11) and (12) become: 



^ 6. = - r%. (13) 



c- 



"^by= - T%y (14) 



