Eigenvalues and eigenfunctions of stationary TE waves for plane symmet
rical nonlinear waveguides are studied. For a negative refractive inde
x difference between the core and cladding (antiwaveguide) regions are
found where a continuum of eigenfunctions exist in certain energy int
ervals. Such regions are interpreted as regions of stability. There is
possible concentration of optical power in the core as well as in the
cladding in these regions. Boundary values of propagation constants f
or nonlinear waveguides and antiwaveguides are obtained.