The new type of non-polarized symmetric electromagnetic waves in planar nonlinear waveguide

ABSTRACT

Paper focuses on the propagation of monochromatic nonlinear symmetric hybrid waves in a planar dielectric waveguide filled with nonlinear medium. The wave propagation problem is reduced to a transmission eigenvalue problem. Eigenvalues of the problem depend on an additional parameter and correspond to propagation constant. Using perturbation method, it is theoretically proved the existence of a finite number of isolated eigenvalues and therefore, guide waves. The found guide regime is novel in the theory of nonlinear waveguides. Numerical results are presented.

KEYWORDS:

• Non-polarized symmetric electromagnetic waves
• Kerr nonlinearity
• planar nonlinear waveguide
• Maxwell’s equations
• two-parameter eigenvalue problem

AMS SUBJECT CLASSIFICATIONS:

• 47J10
• 78A60

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This study is supported by the Ministry of Education and Science of the Russian Federation [grant number 1.894.2017/4.6].