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Journal of Modern Optics

Phase properties of the asymmetric nonlinear coupler

Ladislav Mišta, Jaroslav Řeháček, Jan Peřina

Published Nov 1, 1998• 9 citations
Publisher

Abstract

We examine phase properties of a contradirectional nonlinear asymmetric coupler. We derive the phase distribution using the concept of phase space. An interesting behaviour of the linear mode, namely bifurcation of a distribution, phase shift, experienced during its propagation and phase switching are demonstrated. It is shown that light initially in the coherent state approximately maintains its phase properties during amplification although its Poissonian photon-number statistics are not conserved. Finally, thermal noise in the linear mode can be reduced and squeezing of the phase fluctuations under the level of those for the coherent state with appropriately chosen parameters of the process can be obtained.

DOI
10.1080/09500349808231238

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We examine phase properties of a contradirectional nonlinear asymmetric coupler. We derive the phase distribution using the concept of phase space. An interesting behaviour of the linear mode, namely bifurcation of a distribution, phase shift, experienced during its propagation and phase switching are demonstrated. It is shown that light initially in the coherent state approximately maintains its phase properties during amplification although its Poissonian photon-number statistics are not conserved. Finally, thermal noise in the linear mode can be reduced and squeezing of the phase fluctuations under the level of those for the coherent state with appropriately chosen parameters of the process can be obtained.
We examine phase properties of the contradirectional nonlinear asymmetric coupler with the second harmonic generation. We derive a phase distribution using the concept of phase space. An interesting behavior of the linear mode, namely bifurcation of the phase distribution and phase switching are demonstrated. It is shown that light initially in the coherent state approximately maintains its phase properties during amplification through its Poissonian photon-number statistics are not conserved.© (1999) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
We examine a contradirectional asymmetric nonlinear coupler composed of a linear waveguide and a nonlinear waveguide operating by second harmonic generation. For this we develop a new consistent approach to quantum contradirectional propagation. Using a short-length approximation or a strong stimulating field in the second harmonic mode, we can demonstrate an effective transfer of non-classical properties of light from nonlinear to linear waveguides analysing quadrature and integrated intensity fluctuations, photon number distribution, reduced factorial moments and uncertainty product. Effects of non-classical behaviour of incident beams and of external noise are involved.
We derive the quantum statistical properties of light beams involved in an asymmetric nonlinear coupler composed of a linear waveguide and a nonlinear waveguide operating using second harmonic generation. Examining quadrature and integrated intensity fluctuations, photon number distribution, reduced factorial moments and the uncertainty product, we demonstrate non-classical behaviour of single and compound modes. We show that squeezing of vacuum fluctuations, sub-Poissonian photon statistics and oscillations in photon number distribution created by nonlinear dynamics can be transferred to the linear signal mode. Also effects of non-classical incident beams and smoothing effects of external noise are demonstrated.
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. We calculate the photon number distribution, its factorial moments, quadrature and integrated intensity variances and quadrature uncertainty product taking into account the effects of transmission of light between waveguides. Incident beams are assumed to be coherent, squeezed and mixed with external noise. Second-harmonic modes are assumed to be pumped with strong coherent beams. We show that non-classical behaviour 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 non-classical states can be generated.
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.