The 2x2 Jones matrix method is used in a theoretical analysis of the c
avity amplitude and phase nonreciprocities of monolithic nonplanar sol
id-state ring lasers. An approach is developed to the optimisation of
the perimeter and parameters of the cavity to ensure the necessary amp
litude and phase nonreciprocities. Calculations are reported of the ca
vity parameters optimal for the two most important applications: unidi
rectional single-frequency lasing and bidirectional lasing in a self-m
odulation regime which is of interest in laser gyroscopy.