We present an analytical method for TE and TM modes in weakly guiding
inhomogeneous single-mode slab waveguides. Based on our results, the m
odal behavior or propagation constants depend on index profiles of the
waveguides. It is important to know how the modal behavior depends on
the index profile in single-mode waveguides. because it determines wa
ve-front characteristics of propagating modes. (C) 1998 Optical Societ
y of America.