THE MICROWAVE GYRATOR 31 



Equations (13) and (14) arc general differential equations derivable 

 from Maxwell's equations and do not yet contain the projjerties of any 

 particular medium. In order to find the behavior of a wave traveUing 

 through an infinite ferromagnetic, medium which is magnetized along the 

 direction of propagation, it is necessary to combine these etiuations with 

 Equations (4) which describe the relation between b and h in the medium. 



This gives: 



(W/x - jKlh) "^ = - tX (15) 



c- 



(nhy + jKh.) "^ = - tX (16) 



c- 



The only possible solution to this set of equations is a circularly 

 polarized wave where: 



h:, = ztjhy 



The positive sign above represents a so-called positive circularly 

 polarized wave and the negative sign a negative circularly polarized 

 wave. The propagation constants for these waves is given by 



r± = ■^- Ve(M ± K) (17) 



c 



REFERENCES 



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337 (1948); 4, pp. 31-37 (1949); 4, pp. 366-369 (1949). 



2. A. G. Fox, unpublished memoranda. Bell Telephone Laboratories. 



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5. F. Bloch, Phys. Rev., 70, pp. 460-485 (1946). 



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12. W. A. Yager, J. K. Gait, et al. Phys. Rev., 80, pp. 744-748 (1950). 



