Method and system for ultrasonic characterization of a medium
US-2022082527-A1 · Mar 17, 2022 · US
US11768181B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-11768181-B2 |
| Application number | US-202117473080-A |
| Country | US |
| Kind code | B2 |
| Filing date | Sep 13, 2021 |
| Priority date | Sep 15, 2020 |
| Publication date | Sep 26, 2023 |
| Grant date | Sep 26, 2023 |
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Method for ultrasonic characterization of a medium, comprising generating a series of incident ultrasonic waves, generating an experimental reflection matrix R ui (t) defined between the emission basis (i) as input and a reception basis (u) as output, and determining a focused reflection matrix RFoc(r in , r out , δt) of the medium between an input virtual transducer (TV in ) calculated based on a focusing as input to the experimental reflection matrix and an output virtual transducer (TV out ) calculated based on a focusing as output from the experimental reflection matrix, the responses of the output virtual transducer (TV out ) being obtained at a time instant that is shifted by an additional delay δt relative to a time instant of the responses of the input virtual transducer (TV in ).
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The invention claimed is: 1. Method for ultrasonic characterization of a medium in order to locally determine a preferred direction of anisotropy of scatterers in the medium, the method comprising: generating a series of incident ultrasonic waves (US in ) in an area of said medium, by means of an array of transducers , said series of incident ultrasonic waves being an emission basis (i); generating an experimental reflection matrix R ui (t) defined between the emission basis (i) as input and a reception basis (u) as output; determining a focused reflection matrix RFoc(r in , r out , δt) which comprises responses of the medium between an input virtual transducer (TV in ) of spatial position rill and an output virtual transducer (TV out ) of spatial position r out , the responses of the output virtual transducer (TV out ) being obtained at a time instant that is shifted by an additional delay δt relative to a time instant of the responses of the input virtual transducer (TV in ), determining a wavefront image for the input virtual transducer (TV in ) and for an additional delay interval, said wavefront image being determined as a function of the speed of sound co in the medium, and said wavefront image being determined based on: the focused reflection matrix RFoc(r in , r out , δt) and a ballistic propagation relation of the type δt(Δr out )=−sign(Δz out )·|Δr out |/c 0 , which makes it possible to extract values from the focused reflection matrix in order to construct the wavefront image, and where: δt is the additional delay, |Δr out | is the modulus of the vector between the input virtual transducer (TV in ) and the output virtual transducer (TV out ), with Δr out =r out −r in , Δz out is the component along a depth axis Z of the spatial position vector Δr out ; and determining a preferred direction of the focal spot in the wavefront image by image processing said wavefront image. 2. Method according to claim 1 , wherein the image processing comprises extracting the outline of the focal spot by a threshold at a level lower than the maximum value in the wavefront image, this outline serving to determine the preferred direction of the focal spot. 3. Method according to claim 1 , wherein: the wavefront image U(r in , Δx out , Δz out ) is converted from a reference system in Cartesian coordinates to a reference system in polar coordinates U(r in , Δs out , Δϕ out ), the values of said wavefront image in the reference system in polar coordinates are summed, over a plurality of radial distance deviation values Δs out , to obtain an angular sensitivity function f(r in , Δϕ out ) for a plurality of angular values Δϕ out , the optimum angular value Δϕ max out (r in ) corresponding to the maximum of the angular sensitivity function is determined, said optimum angular value Δϕ max out (r in ) corresponding to the preferred direction of the focal spot associated with the input virtual transducer (TV in ). 4. Method according to claim 1 , wherein the preferred direction is corrected by an angle of view of the point of spatial position r in of the input virtual transducer (TV in ) as viewed from the array of transducers. 5. Method according to claim 4 , wherein the preferred direction is corrected by the formula: γ out ( r in )=−2(Δϕ out max ( r in )−{circumflex over (θ)} out ( r in )) where: Δϕ out max (r in ) is the value of the preferred direction, {circumflex over (θ)} out (r in ) is the correction of the angle of view, γ out (r in ) is the angular anisotropy value. 6. Method according to claim 5 , wherein the correction of the angle of view is: θ ^ out ( r in ) = 1 ∑ u out - u out + cos ( θ out ( r in ) ) ∑ u out - u out + θ out ( r in ) cos ( θ out ( r in ) ) with θ out ( r in ) = a tan ( u out - x in z in ) where: u out ± (r) are the maximum and minimum values of positions of transducers in the array. 7. Method according to claim 1 , wherein: the roles of the input virtual transducer(s) and of the output virtual transducer(s) are reversed in order to determine a preferred direction with
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