We show the principle of operation of a setup to adiabatically shape solitons in quadratic nonlinear media to different beam profiles and widths or different fractions of energy carried by the second-harmonic wave. The ...

Amplification of spatial solitons in quadratic nonlinear media under conditions for second-harmonic generation is addressed. Under the action of gain at a given frequency band the energy has to be redistributed ...

We show that Anderson localization is possible in waveguide arrays with periodically spaced defect waveguides having a lower refractive index. Such localization is mediated by Bragg reflection, and it takes place even if ...

Radiation of leaky modes existing in anisotropic waveguides can be cancelled by destructive interference at special propagation directions relative to the optical axis orientation, resulting in fully bound states surrounded ...

Bound states in the continuum (BICs) are radiationless localized states embedded in the part of the parameter space that otherwise corresponds to radiative modes. Many decades after their original prediction1, 2, 3 and ...

Several conclusions concerning the applicability of the Lorentzian peak method to compute the complex propagation constant of leaky and lossy waveguide modes are established.

We predict the existence and study the basic properties of strongly asymmetric matter wave solitons that form at the interface produced by regions with different interatomic interaction strengths in pancake Bose-Einstein ...

We show that an inhomogeneous defocusing nonlinearity that grows toward the periphery in the positive and negative transverse directions at different rates can support strongly asymmetric fundamental and multipole bright ...

We address the effect of quintic nonlinearities in the propagation of optical solitons in cubic nonlinear media. Our focus is on the decay of higher-order solitons in the presence of self-defocusing quintic perturbations. ...