Abstmct-A new monodomensional approximate solution of the transient acoustic field is presented, which can be easily implemented on small minicomputers. The acoustic field generated by a monodimensional source is simply expressed by a sum of a small number of terms, reducing significantly the complexity of the operations involved. The numerical results obtained with this method are remarkably in agreement with those obained through the exact convolutional method. It is shown that the proposed approximate monodimensional method can be usefully employed for the design and optimization of both linear- and sector-scanning visualization systems.