Regularized Quadrature and Phase Tracking (rqpt) from a Single Closed- Fringe Interferogram

A new sequential phase demodulator based on a Regularized Quadrature and Phase Tracking system (RQPT) is applied to demodulate two-dimensional fringe patterns. This RQPT system tracks the fringe pattern’s quadrature and phase in a sequential way following the path of the fringes. To make the RQPT system more robust to noise the modulating phase around a small neighborhood is modeled as a plane and the quadrature of the signal is estimated simultaneously with the fringe’s modulating phase. By sequentially calculating the quadrature of the fringe pattern one obtains a more robust sequential demodulator than it was previously possible. This system may be applied to the demodulation of a single interferogram having closed-fringes.