An acoustic imaging method comprising the following steps: (a) a transmission/reception step during which an array of acoustic transducers successively transmits a series of n incident acoustic waves E i (t) in an area of observation that is part of a medium to be imaged, and the array of acoustic transducers detects n reverberated waves R i (t) which are respectively reverberated by the medium to be imaged following the transmission of the n incident waves, n being a natural number at least equal to 2, said incident acoustic waves being obtained by linearly combining n elemental incident waves E0 i (t) in a manner corresponding to the formula: E → t = H c. E → 0 t where: H c is a square matrix of order n, E ( t) = [ E i ( t)] is a vector having the n incident waves as components, E 0(t) = [ E 0 i ( t)] is a vector having the n elemental incident waves as components, said elemental incident waves being plane waves or diverging waves or waves focused at different points in space respectively having n different wave fronts, each elemental incident wave being transmitted by a plurality of acoustic transducers of the array of acoustic transducers and sweeping the entire area of observation, (b) a decoding step during which n elemental reverberated waves R0 i (t) are determined by linearly combining the n reverberated waves R i (t) detected, corresponding to the formula: R → 0 t = H d. R → t where: H d is a square matrix of order n, the matrices H c and H d being such that Hc.Hd = D where D is a diagonal matrix of order n in which all diagonal elements d ii are non-zero, R (t) = [R,(t)] is a vector having the n reverberated waves as components, R 0(t) = [ R 0 i ( t)] is a vector having the n elemental reverberated waves as components, (c)an image construction step during which a synthetic image is produced from the n elemental reverberated waves R0 i (t). (a) a transmission/reception step during which an array of acoustic transducers successively transmits a series of n incident acoustic waves E i (t) in an area of observation that is part of a medium to be imaged, and the array of acoustic transducers detects n reverberated waves R i (t) which are respectively reverberated by the medium to be imaged following the transmission of the n incident waves, n being a natural number at least equal to 2, said incident acoustic waves being obtained by linearly combining n elemental incident waves E0 i (t) in a manner corresponding to the formula: E → t = H c. E → 0 t where: H c is a square matrix of order n, E ( t) = [ E i ( t)] is a vector having the n incident waves as components, E 0(t) = [ E 0 i ( t)] is a vector having the n elemental incident waves as components, said elemental incident waves being plane waves or diverging waves or waves focused at different points in space respectively having n different wave fronts, each elemental incident wave being transmitted by a plurality of acoustic transducers of the array of acoustic transducers and sweeping the entire area of observation, H c is a square matrix of order n, E ( t) = [ E i ( t)] is a vector having the n incident waves as components, E 0(t) = [ E 0 i ( t)] is a vector having the n elemental incident waves as components, said elemental incident waves being plane waves or diverging waves or waves focused at different points in space respectively having n different wave fronts, (b) a decoding step during which n elemental reverberated waves R0 i (t) are determined by linearly combining the n reverberated waves R i (t) detected, corresponding to the formula: R → 0 t = H d. R → t where: H d is a square matrix of order n, the matrices H c and H d being such that Hc.Hd = D where D is a diagonal matrix of order n in which all diagonal elements d ii are non-zero, R (t) = [R,(t)] is a vector having the n reverberated waves as components, R 0(t) = [ R 0 i ( t)] is a vector having the n elemental reverberated waves as components, H d is a square matrix of order n, the matrices H c and H d being such that Hc.Hd = D where D is a diagonal matrix of order n in which all diagonal elements d ii are non-zero, R (t) = [R,(t)] is a vector having the n reverberated waves as components, R 0(t) = [ R 0 i ( t)] is a vector having the n elemental reverberated waves as components, (c)an image construction step during which a synthetic image is produced from the n elemental reverberated waves R0 i (t).