Numerical analysis of sinusoidally-amplitude-modulated holographic interferograms (2nd report) - Algorithm using a monotone decreasing function

This paper presents the algorithm for determining vibration amplitude from the Bessel functions of various orders whose arguments contain only it (the Bessel functions and vibration phase can be separated by a computer from t he sinusoidally-amplitude-modulated holographic interferograms recorded by a CCD camera, as shown in the first report). This algorithm uses the sum of the square Bessel functions of various orders with respective weights. Whe reas each individual Bessel function is not monotonic, this sum decreases m onotonically with vibration amplitude. Therefore, the vibration amplitude c an be determined from the one-to-one relation. The higher the orders of the Bessel functions, the smoother the monotone de creasing function becomes; that is, the more uniform the accuracy becomes. Therefore, the functions presented in this paper are smoother than one foun d by Vikram, which uses the Bessel functions of the 0th and 1st orders.