1. A method for non-destructively analyzing a weld in a sample comprising: (1) activating a pulsed, concentrated energy source to create ultrasonic waves in the sample; (2) receiving the ultrasound waves with an ultrasound receiver; (3) storing the signal generated by the ultrasound receiver on a computer readable medium; (4) moving the sample a first predetermined distance; repeating steps 1-4 until the sample has moved a second predetermined distance and a plurality of signals generated by the ultrasound receiver have been stored on the computer readable medium; creating a model correlating the plurality of signals generated by the ultrasound receiver with empirical data for the sample; retrieving the signals stored on the computer readable medium; superimposing the signals that correspond to a first wavelength to create a first artificial narrowband ultrasound source; and storing the first artificial narrowband ultrasound source on the computer readable medium.