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THE BELL SYSTEM TECHNICAL JOURNAL, MAY 1954 



Thus, when c 9^ 1, the jS^ values, for p = 0, are evidently independent 

 of 0- and are just those of an isotropic medium. When a = l(n = k = '^), 

 p = 0, jSMs indeterminate and for p small, there is a small region near 

 0- = 1, of width '^p, in which /3" differs appreciably from the isotropic 

 value. The convergence of an expansion of (3^ in powers of p[(61) and (62)] 

 shows a marked dependence on cr. 



4.12. The scheme of analysis described above will now be illustrated 

 in detail by a discussion for a radius ro between Ui and ji , which, if the 

 ferrite were unmagnetized, would propagate the TEn-mode alone. 



Figs. 8(c) and 8(d) show the division of the \ — cr plane into regions of 

 positive and negative G(\, a) by the various / and curves. A few con- 

 tours of constant G are plotted to indicate the behavior of the function 

 in more detail. That part of the X - o- plane which is excluded by the 



0-0 



Fig. 8(e) — See Fig 



