An earlier investigation [J. Acoust. Soc. Am.71, 1114–1117 (1982)] of the nonlinear interaction of a freely propagating pulse with a cw plane wave is extended to encompass the pulsed parametric array. We find that a scattered signal at the difference frequency is received in the farfield only during the time that a signal is received from the stationary boundary (i.e., the interaction region directly in front of the transducer). Once the pulse appears to have left the face of the transducer in that no further signal is received from the stationary boundary, no further signal at the difference frequency is observed in the farfield. This results in an observed scattered signal that has a pulse length and arrival time consistent with direct radiation from the face of the transducer. However, the signal is found to be generated by a virtual endfire array with an effective length dependent upon the pulse length and observation angle. Experimental evidence is presented in support of these results.