| Internal gravity waves also have another strange
            characteristic. Their phase
            velocity and group velocity intersect at right
            angles.  A phase velocity is the velocity at which the
            troughs and peaks of the waves travel, at a right
            angle to the face of the wave. Their group velocity
            is the speed at which a group of waves proceed, or
            the speed at which the energy of the waves is
            transmitted.  The group velocity and phase velocity of normal
            waves that occur on the sea's surface head in the
            same direction. That's why ripples on the surface of
            water spread concentrically. However, there is no
            guarantee that the phase velocity and group velocity
            of all waves will head in the same direction. It is
            probably more accurate to say that the two speeds
            only face the same direction by chance.  |