A polymer waveguide of parabolic cross-section is shown to produce a lateral graded effective index for each of the discrete vertical modes of the polymer layer due to lateral variation of the waveguide height. Beam propagation simulations are in excellent agreement with recorded images of oscillating guided beams in a waveguide fabricated on glass. Results are also shown for a waveguide fabricated on an erbium/ytterbium co-doped bulk glass substrate in which a transmitted 1550 nm signal showed enhancement of up to 1.7 dB with 210 mW of 975 nm pump light in a 1.0 cm long guide.
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