Stationary Phase Lab




Figure 1. The phase function phi(x) in a). is a Gaussian with a simple stationary point at x^*. Consequently, the algebraic area of the solid curve f(x) cos ( w phi(x)) asymptotically goes to zero nearly everywhere except near the stationary point x^*.

Objective: Execute program p1.m to reproduce above figure. Discover if there is non-zero area around the stationary point as frequency w increases.

Procedure:

  1. Download the programs p1.m.
  2. Type p1.m to generate the above picture. Run the MATLAB code and increase the frequency parameter w. Determine whether there is still a non-zero area around the stationary point.