The recording of sound waves in a two-dimensional pattern
(the hologram) and the use of the hologram to reconstruct the entire
sound field throughout a three-dimensional region of space. Acoustical
holography is an outgrowth of optical holography, invented by Dennis
Gabor in 1948. The wave nature of both light and sound make holography
possible. Acoustical holography involves reconstruction of the sound
field that arises due to radiation of sound at a boundary, such as the
vibrating body of a violin, the fuselage of an aircraft, or the surface
of a submarine. Both acoustical holography and optical holography rely
on the acquisition of an interferogram, a two-dimensional recording at
a single frequency of the phase and amplitude of an acoustic or electromagnetic
field, usually in a plane. Gabor called this interferogram a hologram.

Above: To visualize noise transmission paths through a vehicle dool panel
and to compare different inserts for transmission loss charecterstics.
Two distinct forms of acoustical holography exist. In farfield acoustical
holography (FAH), the hologram is recorded far re moved from the source.
This form of acoustical holography is characterized by the fact that
the resolution of the reconstruction is limited to a half-wavelength.
This resolution restriction is removed, however, when the hologram is
recorded in the acoustic nearfield, an important characteristic of near-field
acoustical holography (NAH), invented by E. G. Williams and J. D. Maynard
in 1980.
Nearfield acoustical holography (NAH) has been used in the auto motive
industry to study interior noise and tire noise, in musical acoustics
to study vibration and radiation of violin-family instruments, and in
the aircraft industry to study interior cabin noise and fuselage vibrations.
Applications are also found in under water acoustics, especially in studies
of vibration, radiation, and scattering from ships and submarines.

Above: Acoustic holography may be used
to visualize the location on the disc brake assembly where brake squeal
is generated. Here, a circular 38-microphone array was used to capture
acoustic pressure data close to the disc brake assembly surface.

Above: Test results shows shows the frequency spectrum at a loud squeal
instant. The major squeal was found at 2649Hz and its sceond harmonic
was found at 5296Hz.

Above: Image shows the acoustic pressure
distribution at the major squeal frequency 2649Hz.
Typically, temporal acoustic data are acquired by measurement of the
acoustic pressure with a single microphone or hydrophone, which scans
an imaginary two-dimensional surface. In some cases, an array of microphones
is used and the pressure is measured instantaneously by the array. The
measured data are processed in a computer to reconstruct the pressure
at the surface of the object as well as the vibration of the surface.
The measured time data are Fourier-transformed into the frequency domain,
creating a set of holograms, one for each frequency bin in the transform.
In the inversion process, each hologram is broken up into a set of waves
or modes whose propagation characteristics are known from basic principles.
Each wave or mode is then back-propagated to the source surface by multiplication
by the known inverse propagator, and the field is then recomposed by
addition of all these waves or modes.
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