Eigenvalues and eigenfunctions of TE(01) modes in a two-layer circular
nonlinear optical waveguide are numerically investigated for various
refractive index differences between the core and cladding and various
values of the core radius. It is shown that for a negative difference
between the refractive indices of the core and the cladding, there ar
e possible regions which may be interpreted as stability regions for T
E modes, In these regions the core diameter is small (of the order of
light wavelength) and the longitudinal magnetic field is comparable wi
th the transverse one.