Nonclassical spatial effects such as squeezing are studied in the transverse domain in a parametric process of difference-frequency interaction inside a nonlinear quadratic bulk, by use of a quantum-perturbative approach. The classical modulation-instability regions correspond to those in which maximum squeezing of the radiation is found. Calculations were performed with all three spatial variables, i.e., in a traveling-wave approximation under the further hypothesis of low conversion efficiency and small quantum fluctuations superimposed upon the strong classical fields.
© 2002 Optical Society of America
S. Severini, C. Sibilia, and M. Bertolotti, "Quantum transverse effects in a parametric downconversion process in three dimensions," J. Opt. Soc. Am. B 19, 148-153 (2002)