Resolution analysis using vector components of a scattered acoustic intensity field
View Patent ↗A target analysis method that includes the steps of: illuminating a target with acoustic waves; positioning a device at multiple acoustic vector sensing positions about the target in a scattered acoustic field of reflected waves to simultaneously measure acoustic pressure and particle velocity at each vector sensing position; converting using a Hilbert transform the measured acoustic pressures and particle velocities into a complex signal having active real and reactive imaginary vector component; computing respective active and reactive acoustic intensities at each vector components; and mapping field structure nulls being zero crossings of the active and reactive intensities to a bitmap representation of decomposed scattered target acoustic intensities of the target.
1. A target resolution analysis method comprising the steps of:
illuminating a target with acoustic waves;
positioning a device at multiple acoustic vector sensing positions approximate to the target in a scattered acoustic field of reflected waves;
simultaneously measuring acoustic pressure and particle velocity at each of the vector sensing positions;
converting with a Hilbert transform the measured acoustic pressures and particle velocities into a complex signal having active (real) and reactive (imaginary) vector components;
computing active and reactive acoustic intensities at each of the vector components; and
mapping decomposed scattered active and reactive acoustic intensity minimum field structures (nulls) to a bitmap representation of the target.
2. The resolution analysis method of claim 1 wherein the step of computing active intensities I x is accomplished by
I
x
=
Re
{
pu
x
*
}
2
and computing reactive intensities Q x is accomplished by
Q
x
=
Im
{
pu
x
*
}
2
wherein x=I, j, or k represents a three-dimensional coordinate system and u* is a complex conjugate of a complex particle velocity u.
3. The resolution analysis method of claim 2 further comprising the step of computing an active time average and a reactive time average at each field coordinate subsequent to computing respective active and reactive acoustic intensities at each vector component.
4. The resolution analysis method of claim 2 wherein said step of mapping field structure nulls is provided at regions of minimal active intensity power and minimum reactive intensity power.
5. The resolution analysis method of claim 1 wherein the measured acoustic pressures and particle velocities are three dimensional.
6. The resolution analysis method of claim 1 wherein the measured acoustic pressures and particle velocities are filtered, calibrated and normalized prior to said conversion step using the Hilbert transform.
7. The resolution analysis method of claim 1 further comprising the step of determining target composition from the bitmap representation of decomposed scattered target acoustic intensities of the target.
8. A target analysis system comprising:
an acoustic transmission system for propagating acoustic waves to a target;
a receiving system for receiving the acoustic waves after being reflected from the target with said receiving system including multiple acoustic vector sensors at different positions to enable simultaneous measurement of acoustic pressures and particle velocities at a vector sensing position; and
a computing system specifically configured for analyzing the measured acoustic pressures and particle velocities, wherein said computing system is capable of converting the measured acoustic pressures and particle velocities into a complex signal having active (real) and reactive (imaginary) vector components using Hilbert transform and wherein said computing system is capable of computing respective active and reactive acoustic intensities at each vector and mapping the decomposed scattered active and reactive acoustic intensity minimum field structures to a bitmap representation of the target.
9. The resolution analysis system of claim 8 wherein said computing system further comprises computing the active intensities I x is accomplished by
I
x
=
Re
{
pu
x
*
}
2
and computing reactive intensities Q x is accomplished by
Q
x
=
Im
{
pu
x
*
}
2
where x=I, j, or k represents a three-dimensional coordinate system and u* is a complex conjugate of a complex particle velocity u.
10. The resolution analysis system of claim 9 wherein said computing system further comprises computing an active time average and a reactive time average at each field coordinate after computing respective active and reactive acoustic intensities at each said vector component.
11. The resolution analysis system of claim 9 wherein said computing system further comprises mapping field structure nulls at regions of minimal active intensity power and minimum reactive intensity power.
12. The resolution analysis system of claim 8 wherein the measured acoustic pressure and particle velocities are three-dimensional.