Quantum properties of a spatially-broadband traveling-wave phase-sensitive optical parametric amplifier

Abstract

Abstract We present the quantum theory of a spatially-multimode traveling-wave phase-sensitive optical parametric amplifier (OPA) pumped by a beam with arbitrary spatial profile. By using Green's functions of the classical OPA, we derive the normally-ordered quadrature correlators at the OPA output, which provide complete quantum description of the phase-sensitive OPA and enable determination of its independently-squeezed eigenmodes. Two analytically treatable examples of plane-wave pump and infinite spatial bandwidth of the crystal are discussed in detail. Keywords: optical parametric amplifiersphase-sensitive amplifiersimage amplificationquantum noise squeezing Acknowledgement This work was supported by DARPA Quantum Sensors Program.