Recording holographic optical elements in planar waveguides with both
interfering beams being guided modes has certain advantages. We show t
hat such holograms can be efficiently recorded when only a small fract
ion of the guided modes penetrates the recording material that is depo
sited outside the main guiding region. An integrated optic wavelength-
division demultiplexer is analyzed and implemented as a specific examp
le. In this example the holographic grating also acts as a focusing el
ement; thus no additional collimating or focusing lenses are required.