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Quantum transverse effects in a parametric downconversion process in three dimensions

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Abstract

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

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