Linearly and nonlinearly chirped Bragg gratings fabricated on curved fibers

We can introduce chirping, or a variation in the periodicity of a Bragg grating, into an optical fiber by writing gratings on curved optical fibers. By precisely specifying the curvature, we can obtain linear, quadratic, and square-root chirped gratings. Experimental and numerical verifications of the relationships between curvature and grating characteristics are presented.