Wave-trains through a Conducting Dielectric. 317 

 But for the incident wave-train 



x - ^ 



therefore 



^= A /& ^ 



p and being both functions of a 2 and of the period, and ^ 

 being a function of the rate of damping of the wave-train, 



- 2 is (like b and c and the phase-changes) a function of 



1 



period, damping, and conductivity, except when the latter is 



zero : when we have simply 



■ • •", l = \/% ^ 



III. The Phenomena at the Second Surface of the Plate. 



We now proceed to the inverse case where the wave is 

 passing from the electrolyte into the dielectric. 



If X 2 represent as before the electric force in the elec- 

 trolyte, and X 3 represent the electric force in the second 

 dielectric, we may now write 



. X ? =B 1 / ( '-^ + B 1 y ( ' + *% .... (22) 



X 3 =A 3 / (( - v/ <H (23) 



the wave in the electrolyte consisting of a direct and a re- 

 flected train, and that in the dielectric of a direct train only. 

 Applying the interface conditions as in the last section, 

 we get for z=0 



B 1 -fB 1 ' = A 3 , (24) 



dX 2 dX 3 



1F=1U < 2 °) 



Carrying out the differentiation of (25) and putting z=0 } 



-W£i A 3=P<?(- B i + B i')> 



or 



B 1 -B 1 '=A 3 ^=A 3 X. . . . (26) 



