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Chirped gratings can be readily implemented in uniform-period waveguide Bragg gratings (WBGs) by adopting a tapered profile in the core patterning process. Based on our analysis, we have demonstrated that controlled linear chirps can be generated in WBGs with specifically designed core-taper profiles. By virtue of our established design and fabrication techniques, the measured center wavelengths, bandwidths, and dispersion coefficients of our fabricated straight and tapered polymeric WBGs agree very well with the designed values. We also obtained fairly low polarization-dependent wavelength shifts from the straight WBGs owing to the adopted low-birefringence polymeric materials.