These expressions may easily be shown to be identical to those 

 given by Kondo (1975) when it is realized that the factor y used by 

 Kondo is related to e through y = 1/e. 



To investigate the general behavior of the solution for the trans- 

 mission and the reflection coefficient as given by equations (22) and 

 (23) it is seen from equation (18) that 



n n//S ^24) 



Vs^lf y'l-i(f/S) 

 and that the wave number, k, given by equation (13) may be expressed as 



k - k /S^ = nk i = nk ^^UnnK . (25) 



n/^ 



Thus, it is seen that the general solutions for the transmission 

 coefficient 



T = — ^ (26) 



and the reflection coefficient 



(27) 



may be regarded as functions of the variables n//S, f/S, and nk i, 

 i.e., the general solution for R and T may be presented as a series of 

 graphs, each graph corresponding to a particular value of n/v^ and 

 giving R or T as functions of nk I and f/S. An example of this solution 

 is presented in Figures 2 and 3 which correspond to a value of n//S = 

 0.45. 



As previously mentioned, a series of graphs is needed for different 

 values of n/-/S. In fact such a series of graphs was developed corre- 

 sponding to values of n/TS = 0.35, 0.40, 0.45, and 0.50. If it is 

 assumed that the values of n, nk i, and f are known, the graph to be 

 used would depend on the value chosen for the coefficient S given by 

 equation (5) . As discussed in conjunction with the introduction of the 

 parameter S, its actual value is poorly understood except that it is 

 expected to take on values in the interval 1 < S < 1.5. Now, if taking 



