.... , “ Kerr electro-optic sensor for electric field in large-scale oil–pressboard insulation structure ,” IEEE Trans. Instrum. Meas.   68 ( 10 ), 3626 – 3634 ( 2019 ). 10.1109/TIM.2018.2881803 Gavartin , E. , Verlot , P. , and Kippenberg , T. J. , “ A hybrid on-chip optomechanical...

... are very small in Si. The pockels or Kerr effect in non-centrosymmetric dielectric materials provide very low power, low optical loss, and high-speed tuning but often result in very large devices. Electroabsorption ( He et al., 1995 ) tuning in semiconductor materials is also commonly used to tune...

...collapse Kerr nonlinearity stabilization vortex solitons cubic–quintic nonlinearity saturable nonlinearity trapping potentials lattice potentials Bose–Einstein condensates Feshbach resonance nonlinear potential Lee–Huang–Yang effect quantum droplets spin–orbit coupling (SOC) Rashba...

.... (9.2) and (9.3), represents the asymmetry (refractive-index mismatch) between the coupled cores. The model includes the usual intra-core Kerr nonlinearity, whose coefficient is scaled to be 1. Plane-wave solutions of the linearized version of Eqs. ( 10.1 ) and ( 10.2 ) are looked for as (10.3) q 1...

... are always subject to instability, as they cannot represent an energy minimum ( Derrick, 1964 ). Next, the instability problem is very clearly exhibited by the most important model based on the NLS equation with the self-attractive cubic nonlinearity (a commonly known example is the Kerr term in various...

... to mention that the generation of dissipative optical solitons in cavities with the Kerr nonlinearity (often called microresonators), which gives rise to spectra in the form of phase-locked frequency combs, has drawn a great deal of interest ( Kippenberg et al., 2018 ; Kues et al., 2019...

...) , the nonlinearity was added to the fractional Schrödinger equation. In terms of the realization of the fractional diffraction in optics, the cubic self-focusing represents the Kerr nonlinearity of the material of the waveguide. The cubic nonlinearity also makes sense if added to the original fractional Schrödinger...

... = − 1 2 ( ψ x x + ψ y y + ψ τ τ ) − U 0 ( cos 2 ⁡ x + cos 2 ⁡ y ) ψ − | ψ | 2 ψ = 0. In comparison to Eq. ( 7.1 ), here σ = +1 is fixed, which corresponds to the usual self-focusing Kerr nonlinearity of optical materials...

...–semidiscrete LBs were predicted in the Kerr media with embedded lattices composed of helical ( Matuszewski et al., 2010 ) or strongly twisted ( Milián et al., 2019 ) waveguides. Following the creation of the fundamental spatiotemporal solitons in the multi-core waveguides, their vortical...

... nonlinear loss [cf. Eq. (1.100′)], (14.13) U z = i ( U x x + U y y ) + i α | U | 2 U − | U | 2 M − 2 U . Here, α is an effective Kerr coefficient, and the last term with M = 2, 3, 4, … accounts for the M-photon absorption...

... control and Kerr-lens mode locking By using a coupled external resonator, Mollenauer and Stolen achieved sub-50 fs laser pulses in a color-center laser ( Mollenauer and Stolen, 1984 ). This colliding or additive pulse mode locking relies on the self-phase modulation (SPM) of the nonlinear Kerr effect...

... ( Su et al., 2020 ). Material Refractive index TO coefficient (K⁻¹) Kerr nonlinearity (m² W⁻¹) Pockels effect Silicon ( Barclay et al., 2005 ) 3.467 1.86 × 10⁻⁴ 4.4 × 10⁻¹⁸ ( Barclay et al., 2005...

... Si₃N₄-on-SOI platform for low-loss high performance silicon photonics dense integration ,” Opt. Express   22 ( 18 ), 21859 – 21865 ( 2014 ). 10.1364/OE.22.021859 Ikeda , K. , Saperstein , R. E. , Alic , N. , and Fainman , Y. , “ Thermal and Kerr nonlinear properties of plasma...

... in cavity QED systems—direct implementations of non-Gaussian operation would be the most straightforward method to introduce non-Gaussianity into the system. In the optical system, Kerr interaction is a representative optical nonlinearity that results in non-Gaussian operations. But as high-order optical...