Photonics (Nov 2022)

On a Different Vision of Kerr Law in Nonlinear Optical Waveguide Theory

  • Yury Smirnov,
  • Stanislav Tikhov,
  • Dmitry Valovik

DOI
https://doi.org/10.3390/photonics9120901
Journal volume & issue
Vol. 9, no. 12
p. 901

Abstract

Read online

This paper focuses on electromagnetic transverse-electric wave propagation in a planar shielded waveguide filled with nonlinear medium. Instead of using the standard local Kerr (cubic) nonlinearity, we suggest a (nonlocal) modification of this law. In comparison with the standard formula, this modification does not produce infinitely many nonperturbative guided modes. In this research, we present the dispersion equation for propagation constants, eigenwaves and propagation constants via explicit formulas. The found results are compared with the ones relating to the corresponding linear problem and the nonlinear one with the classical Kerr’s law. Numerical results are also presented and discussed.

Keywords