Figure 1
From: High channel count and high precision channel spacing multi-wavelength laser array for future PICs

Schematic illustration of the wave-vector conversion of REC technique.
The sampling pattern provides an additional wave-vector Ks(z) to form a new wave-vector of Kg(z) to manipulate the light behavior in a waveguide with uniform seed (basic) grating wave-vector of K0. Through this vector conversion, complex nanometer grating structures can be equivalently realized by µm-level structures.