SOME RESULTS ON CYLINDRICAL CAVITY RESONATORS 



429 



Notes: 



Superscripts e and o on mode designation signify even and odd. 



c is parameter used in the Tables (Stratton, Morse, Chu, Hutner, "Elliptic Cylinder 



and Spheroidal Wave Functions") 

 r is the value of the argument which, for TM modes, makes the radial function zero 



and, for TE modes, makes its derivative zero. 

 e is the eccentricity of the ellipse; 



_ distance between foc i 

 major diameter 

 E is the ellipticity of the ellipse; 



difference between major and minor diam. 

 major diameter 

 5 is the root value, referred to the "average diameter"; it is related to r by: 

 _ r perimeter 

 IT major diameter 



The quantity 5 is also related to the cutoff wavelength in an elliptical wave guide 

 according to: 



_ perimeter of guide 

 cutoff wavelength 



Resonator Q 



Although the calculation of the root values is straightforward and not 

 overly laborious, the same cannot be said for the integrations involved in 

 the determination of resonator Q. The procedure is obvious: The field 



