Low-loss optical bent waveguide core

Abstract

A waveguide core bent according to a certain curve or family of curves is provided. In one aspect, the waveguide core has a smooth curve as an edge and/or centerline of the waveguide core, wherein a curvature of the smooth curve is continuous and the first order derivative of the curvature of the smooth curve with respect to an arc length of the smooth curve is continuous. The smooth curve includes a curve start point and a curve end point, wherein the derivative of the curvature of the smooth curve is zero at the curve start point and at the curve end point. The curvature of the smooth curve is zero at the curve start point, and is non-zero or zero at the curve end point.

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