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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Quantum statistics of light in Raman scattering and Brillouin couplers with losses

Jaromı́r Fiurášek, Jan Peřina

Published Jul 14, 1999• 0 citations
Publisher

Abstract

Quantum statistical properties of light in nonlinear coupler in which Raman or Brillouin scattering are in operation are investigated. Main attention is given to possibility of generation of nonclassical states of light. Phase mismatches and losses are included and their influence is discussed. The second part of the paper is devoted to analysis of stationary point. Coherent pumping of optical modes is assumed and stationary solution for c-number amplitudes is found and small linear operator corrections are calculated. Stability of the stationary point is discussed and it is shown that phase uncertainty induces instability.

DOI
10.1117/12.353055

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Quantum statistical properties of light in nonlinear coupler in which Raman or Brillouin scattering are in operation are investigated. Main attention is given to possibility of generation of nonclassical states of light. Phase mismatches and losses are included and their influence is discussed. The second part of the paper is devoted to analysis of stationary point. Coherent pumping of optical modes is assumed and stationary solution for c-number amplitudes is found and small linear operator corrections are calculated. Stability of the stationary point is discussed and it is shown that phase uncertainty induces instability.
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Statistical properties of light generated in nonlinear optical couplers are discussed. Methods suitable for the description of non-classical properties of light are mentioned; special attention is paid to generalized superposition of coherent fields and noise. Regimes suitable for non-classical light generation in various types of nonlinear couplers based on second-harmonic and second- subharmonic generation, optical parametric processes, Kerr effect as well as Raman and Brillouin processes are analyzed. Special attention is devoted to the generation of light with sub-Poissonian statistics, squeezed light, and light in purely quantum states. Role of real effects like damping of optical fields and phase mismatches is also discussed.
The authors examine both codirectional and contradirectional nonlinear couplers operating by second harmonic generation with particular attention to the effect of linear and nonlinear phase mismatches under the assumption that the second harmonic mode is stimulated by a strong coherent field. Quantum statistical properties are described by a photocount distribution, its factorial moments, quadrature and integrated intensity variances and the uncertainty product, with particular attention to generation and transmission of nonclassical light. Incident beams can be coherent or squeezed with mixed external noise. It is shown that, in general, the nonlinear phase mismatch, which effectively makes the interaction weaker, may reduce nonclassical effects and their transmission to signal linear waveguide. However, as a consequence of the phase mismatches some initial regimes of the interaction can be repeated, which leads to new interesting nonclassical effects.
Statistical properties of optical fields in nonlinear couplers composed of two waveguides in which Raman or Brillouin processes (with classical pumping) are in operation and which are mutually connected through the mutual Stokes and/or anti-Stokes linear interactions are investigated within the framework of a generalized superposition of coherent fields and quantum noise. Heisenberg equations describing the couplers are solved both analytically under special conditions and numerically in general cases. Regimes for nonclassical properties of optical fields, such as sub-Poissonian photon-number statistics, negative reduced moments of integrated intensity and squeezing of quadrature fluctuations are discussed for the cases of single and compound fields. General results are compared with those from the short-length approximation.
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We investigate both codirectional and contradirectional nonlinear couplers composed of two nonlinear waveguides operating by second harmonic generation. We take into account possible mismatches inside the waveguides and between them. Quantum statistical characteristics, such as photon number distribution, its factorial moments, quadrature and integrated intensity vari- ances and quadrature uncertainty product can demonstrate effects of transmission of light between waveguides. Incident beams can be assumed to be coherent, squeezed and mixed with external noise. Second harmonic modes are assumed to be pumped with strong coherent beams. Nonclassical behavior of beams generated by the nonlinear waveguides can be transferred between them and controlled by linear and nonlinear mismatches. In the contradirectional regime of propagation asymptotic nonclassical states can be generated.