Vv. Volokhovskii et As. Chirkin, Generation of nonclassical light in parametric amplification of counterpropagating waves in consecutive interactions, QUANTUM EL, 31(5), 2001, pp. 437-442
A quantum theory of consecutive interactions of counterpropagating waves wi
th multiple frequencies omega ,2 omega, and 3 omega is developed. Parametri
c processes of high- and low-frequency amplification of omega and 3 omega w
aves are studied in the approximation of an undepleted 2 omega pump field.
Fluctuations of quadrature components, statistics of photons, and correlati
on between fluctuations of photon numbers are considered at these frequenci
es.