The present invention provides a method and apparatus for transforming
optical wave modes. The apparatus includes a substrate and a first layer
of waveguiding material above the substrate, the first layer having a
first index of refraction, a first horizontal dimension, and a first
vertical dimension. The apparatus also includes a second layer of
waveguiding material adjacent the first layer, the second layer having a
second index of refraction, a second horizontal dimension, and a second
vertical dimension.