Scattering of scalar pulses on planes

The Fredholm integral equation approach (Hillion P 2001 J. Phys. A: Math. G en. 34 4687) of dealing with the scattering of scalar harmonic waves on pla ne obstacles is extended to two classes of scalar pulses with finite durati on or decreasing strongly for /t/ double right arrow infinity. The consiste ncy of this formalism is checked for digital signals and focus wave modes i mpinging on a perfectly reflecting smooth plane. To illustrate this approac h, two different topics are investigated: scattering of digital signals on an impedance plane and their reflection on a time-reversal mirror.