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:
- Download the programs
p1.m.
- 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.