This invention discloses a cascaded low-loss bent
waveguide design method based on vector synthesis. The steps are as follows: S1, the bent
waveguide is regarded as a curve, and four control vectors are defined to describe the curve: the curve start point, the curve end point, a fixed distance point in the tangent direction of the curve start point, and a fixed distance point in the tangent direction of the curve end point, and the parameter vector of the curve is constructed; S2, based on the connection requirements and curvature
smoothing characteristics of the bent
waveguide to be designed, boundary condition constraint equations are established, and the algebraic relationship between the four control vectors is solved; S3, the structural parameters of the bent waveguide are defined, and the four control vectors are transformed into expressions related to the design parameters to be determined, namely the structural parameters and length; S4, following the order of length first and then structural parameters, with the goal of obtaining the minimum
transmission loss, the unknowns in the design parameters to be determined are determined sequentially; this method has the characteristics of achieving ultra-
low transmission loss and ultra-small structural size, which greatly simplifies the
design process and reduces the difficulty.