8 problems

Spatial-distribution conjecture. The polarization follows the spatial distribution of the electric field.

Let the pump, signal, and idler frequencies be the frequencies involved in the frequency-splitting process described above. Frequency-mixing conjecture. The $\SI{400}{\tera\hertz}$…

Let the pump frequencies be $\omega_{1}$ and $\omega_{2}$, let the idler frequency be $\omega_{i}=\SI{100}{\tera\hertz}$, and let the respective signal frequencies be … The phase-m…

Consider the potential defined in equation, with parameter $\gamma$. Let $k_0$ denote the wave number of its non-self-dual spectral singularity, and let $\gamma_\star^{(j)}$ and…

The discussion concerns signaling methods on the continuous spectrum of a nonlinear optical fiber, with $E$ denoting signal energy and VNT denoting the variance-normalizing transfo…

Let $W(\eta)$ denote the dissipative potential, with strength parameter $\sigma$, and consider localized nonlinear modes in the corresponding gain–dissipation landscape. On the sca…

Poynting-vector tilt conjecture. For any given carrier field, the corresponding effective light cones tilt into the direction of the Poynting vector of the field. Moreover, the hig…

Soliton black-hole conjecture. There are soliton solutions to the EHFE whose effective geometries contain black holes.