1154 THE BELL SYSTEM TECHNICAL JOURNAL, SEPTEMBER 1954 



Avhere e is the dielectric constant of the ferrite. If d is the thickness of the 

 slab, the electrical thickness is 



e± = I3±d = -- 



where 9o = co-\//xo€ d is the electrical thickness of the umnagnetized 

 sample. Let us now confine the discussion to the right circular wave. If 

 the incident electric field is taken to be e~^^°', where /3o is the free space 

 propagation constant, co \//io€o , the incident magnetic field ^^•ill be 



WMo 



and if the reflected electric field is pe^^"', the reflected magnetic field will 

 be 



CO Ho 



since |8o reverses sign. Inside the slab, the electric field consists of forward 

 and backward travelUng parts Tie~"'^+^ and 726^^+^, and the corresponding 

 magnetic fields are 



and 





0}IJ.+ 



Finally the transmitted electric and magnetic fields wiR be denoted by 



and 



— — T^e 



respectively. In general p, as well as the t's, wiil be complex. To obtain 

 T3 , we write down the equations of continuity of all tangential fields 

 across the boundaries 2 = and z = d. Since the fields are confined to a 

 plane normal to the 2-direction, these equations are: 



1 + P = Tl + 72 , 



— d — p) = — (ri — T2) 



