THE MICROWAVE GYRATOR 27 



permission to use his terminology and circuit symbols, and also for the 

 many discussions concerning the properties and uses of these microwave 

 circuit elements. The author is also indebted to S. E. Miller for help in 

 designing the microwave elements and to J. K. Gait for many discus- 

 sions concerning the theoretical aspects of this paper. The author also 

 wishes to extend his appreciation to J. L. Davis whose able technical 

 assistance made possible the accumulation of much of the data presented 

 in this paper. 



APPENDIX 



The equation of motion of the magnetization of a ferromagnetic 

 material is: 



^ = yOi xm- 1^1 [M X {M X m (1) 



at \M I 



where 

 H = internal magnetic field (oersteds) 

 47ril/ = magnetization of medium (gauss) 



a = parameter which measures the magnitude of the damping force 

 on the precessing dipole moment of the sample 



7 = gyromagnetic ratio of the electron (7 = (/e/2mc where g is the 

 Lande g factor for the electron). 



If a ferromagnetic material is subjected to a steady magnetic field, 

 Ha , along the z axis and if then an alternating field is applied in an 

 arbitrary direction, Equation (1) must be solved in order to find the 

 behavior of the magnetization of the material. To solve this problem, 

 the following notation is introduced: 



4TrM^ = magnetization of medium in absence of alternating field 



Ha = externally applied steady magnetic field (oersteds) 



hx , hy , h, = components of applied alternating magnetic field 



nix , niy , m. = alternating components of magnetization 



hi , hi , Hi = components of internal magnetic field 



hi = hx — Nxtrix 



K = hy - NyVly 



H\ = Ha + h - A'zCl/. + nu) 



Nx , Ny , Nz = demagnetizing factors of body. 



