Modulation instability during the propagation of three or four waveguide modes in a thin left-handed film on a right-handed nonlinear substrate

By | 11.09.2024

Yu. V. Zelenetckaya, E. V. Kuz’minskaya, R. V. Litvinov, N. R. Melikhova

  • Tomsk State University of Control Systems and Radioelectronics
  • National Research Tomsk Polytechnic University

Abstract: We consider the modulation instability of TE2 modes propagating in a thin left-handed film on a right-handed Kerr substrate at a frequency near their zero group velocity for the cases of propagation of three and four modes. The dependence of the instability growth rate on the transverse wave number of amplitude mode perturbations is analysed. The features of the modulation instability resulting from the propagation of modes with negative group velocities are determined. The growth rates and regions of instability are compared for various variants of propagation of one, two, three, and four modes.

Keywords: thin left-handed film, waveguide modes, negative group velocity, modulation instability.

This work was supported in part by the Programme for Enhancing Competitiveness of Tomsk Polytechnic University.

Received: 25.02.2022
Revised: 04.04.2022