(For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.) It is worth to stress that, in principle, the third-order nonlinear polarization P(3) that generates the Raman signal results from different processes, ...
Photonics Center, Institute of Physics, Nankai University, The Key Laboratory of Weak Light Nonlinear Photonics, Ministry of Education, Tianjin, 300071, China XinYuan Qi, SiMin Liu, Ru Guo, Yi Lu, YuanMei Gao, ZhaoHong Liu, ChunFu Huang, XiaoHua Zhang, Nan Zhu & JingJun Xu Teda Applied Phy...
The standard F-expansion principle entails the involvement of unknown functions D and q, showcasing both nonlinear and linear derivatives of higher order. To delineate the main steps, the following summary can be provided: Step 1: The given PDE (26) is transformed into a single-variable equatio...
The equations for these parameters can be derived from the Talanov virial theo- rem or from the variational principle13,16. Attempts to use this approach for the specific problem considered above failed due to beam filamentation and destruction. On the other hand, the TW model describes beam ...
Importantly, the above complete data log-likelihood connects our NGC models (and total discrepancy) to the principle of free energy1,5, given that the sum of (weighted) prediction errors defined in Eq. (2) can be shown to be a form of free energy that is minimized through variational infe...
First, the free energy principle (FEP) is so simple that it is (almost) tautological. Indeed, philosophical accounts compare its explanandum to a desert landscape, in the sense of Quine [1]. Second, a tenet of the FEP is that everything must provide an accurate account of things that ...
As with any laser, a fiber laser uses the principle of stimulated emission. The majority of fiber lasers are made from a concatenation of fiber-coupled components. The fibers associated with the various components are called “passive fibers”. Passive fibers have no amplification properties. The ...
principle, and thus consciousness will introduce certain nonlinearity into quantum dynamics. Next, it is shown that the distinguishability of nonorthogonal states can be used to achieve quantum superluminal communication, by which information can be transmitted nonlocally and faster than the speed of ...
On the basis of the principle of maximal stiffness for a beam splitter, Taylor et al.99 demonstrated that structured scattering of particles improved the stiffness of optical trapping by ~ 30-fold. This approach could be a new way to perform OM. Recently, experiments demonstrating tractor beams...
and can be described through methods in physical optics9,10, the Gouy phase continues to be the topic of studies discussing its underlying physical origin by linking it to properties such as the geometry of the focus, geometric phases and the uncertainty principle9,11,12,13,14,15,16,17,18...