Modified Watanabe-Strogatz transformation equation for dimension reduction based on the phase response of photonic integrated circuits (PICs)
A modified form of the Watanabe-Strogatz (WS) transformation is introduced, which is based on a totally different physical origin (the phase-domain response of the photonic integrated circuits, PICs) instead of the Celestial mechanics from the original WS transformation. Detailed derivations and differentiations of the two transformations are given. The modified equation differs from the original only in the exclusion of a square root in one term. The results suggest a degree of similarity between the initial outcomes obtained from the modified equation and the Watanabe-Strogatz equation.