We consider spontaneous four-wave mixing in a microring resonator, presenting photon-pair generation rates and biphoton wave functions. We show how generation rates can be simply predicted from the performance of the device in the classical regime and that a wide variety of biphoton wave functions can be achieved by varying the pump pulse duration.

The structure and stability of different types of multicolor optical spatial solitary waves created by interaction of light at a central frequency with two sideband waves both through cross-phase modulation and parametric four-wave mixing is presented. It is shown that a novel type of three-color spatial soliton appears above a power threshold when parametric coupling generates an instability o...

The basics of four-wave mixing (FWM) and recent advances in FWM microscopy are reviewed with a particular emphasis on applications in the field of nanomaterials. The vast progress in nanostructure synthesis has triggered a need for advanced analytical tools suitable to interrogate nanostructures one at a time. The single-nanostructure sensitivity of optical microscopy has solidified the optical...

The process of four-wave mixing is discussed. The theoretical basis of FWM is developed followed by an examination of common experimental methods based upon FWM processes. Some of the applications and uses of FWM are presented.

Two beams of light can be quantum mechanically entangled through correlations of their phase and intensity fluctuations. For a pair of spatially extended image-carrying light fields, the concept of entanglement can be applied not only to the entire images but also to their smaller details. We used a spatially multimode amplifier based on four-wave mixing in a hot vapor to produce twin images th...

Huaibin Zheng, Yanpeng Zhang, Zhiqiang Nie, Changbiao Li, Hong Chang, Jianping Song, and Min Xiao Key Laboratory for Physical Electronics and Devices of the Ministry of Education, Xi’an Jiaotong University, Xi’an 710049, People’s Republic of China National Time Service Center, Chinese Academy of Sciences, Lintong 710600, People’s Republic of China Department of Physics, University of Arkansas, ...

This work treats degenerate four-wave mixing ~DFWM! in noncentrosymmetric materials, taking into full account the fact that the DFWM signal arises from third-order nonlinear optical effects as well as from two distinct combinations of second-order effects: second-harmonic generation plus difference frequency generation and optical rectification plus Pockels effect. Because of these second order...

We perform a theoretical analysis of atomic four-wave mixing via a collision of two Bose-Einstein condensates of metastable helium atoms. The analysis is based on first-principles quantum simulations using the positive P-representation method and is aimed at modeling recent experiments at Orsay [2]. Using the actual experimental parameters, we calculate atom-atom pair correlations within the s-...

We report the observation of four-wave mixing phenomenon in a simple silicon wire waveguide at the optical powers normally employed in communications systems. The maximum conversion efficiency is about -35 dB in the case of a 1.58-cm-long silicon wire waveguide. The nonlinear refractive index coefficient is found to be 9x10-18 m2/W. This value is not negligible for dense wavelength division mul...