05.03.2013 Views

Tuesday afternoon, 11 November - The Acoustical Society of America

Tuesday afternoon, 11 November - The Acoustical Society of America

Tuesday afternoon, 11 November - The Acoustical Society of America

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

4:15<br />

2pSP7. Acoustic Dopplergram for intruder defense. T. C. Yang Naval<br />

Res. Lab., 4555 Overlook Ave., Washington, DC 20375<br />

This paper discusses the concept and presents preliminary experimental<br />

results using the Dopplergram to detect and localize an underwater vehicle,<br />

intended for harbor defense and/or protection <strong>of</strong> high value assets. <strong>The</strong><br />

acoustic Dopplergram displays the Doppler frequency <strong>of</strong> the target echo<br />

from an active source as a function <strong>of</strong> time similar to the L<strong>of</strong>argram or<br />

Contributed Paper<br />

spectral gram, which is widely used in passive sonar for detection <strong>of</strong> tonal<br />

and/or wideband transient signals. m-sequence signals, which are sensitive<br />

to Doppler shift, are transmitted with a rapid repetition rate from a source<br />

and received on a colocated receiver. Target detection is improved using the<br />

processing gain <strong>of</strong> the m-sequence and using Doppler discrimination signal<br />

association by eye-ball integration <strong>of</strong> the Doppler gram data. <strong>The</strong> target is<br />

localized using a two-way travel time and bearing estimation. This work is<br />

supported by the US Office <strong>of</strong> Naval Research.<br />

TUESDAY AFTERNOON, <strong>11</strong> NOVEMBER 2008 LEGENDS 8, 1:30 TO 4:00 P.M.<br />

1:30<br />

2pUW1. A sparse-grid, nonintrusive formulation <strong>of</strong> acoustic field<br />

uncertainty in ocean waveguides. Steven Finette Naval Res. Lab., Washington,<br />

DC 20375-5320 and John Burkhardt U.S. Naval Acad., Annapolis,<br />

MD 21402<br />

<strong>The</strong> inclusion <strong>of</strong> environmental uncertainty in simulations <strong>of</strong> acoustic<br />

wave propagation in ocean waveguides is important for the development <strong>of</strong><br />

simulation-based prediction methods that quantify the influence <strong>of</strong> multiple<br />

sources <strong>of</strong> incomplete environmental knowledge on the simulation results.<br />

Polynomial chaos expansions have been suggested as a natural mathematical<br />

framework for describing both environmental and acoustic field uncertainties,<br />

their interaction, and propagation through the waveguide S. Finette, J.<br />

Acoust. Soc. Am. 120 2006. Previous research has described the inclusion<br />

<strong>of</strong> these expansions directly into the propagation equation the intrusive<br />

approach, yielding coupled differential equations for the expansion<br />

coefficients. <strong>The</strong> solution for the coefficients contains the statistical properties<br />

<strong>of</strong> the uncertain field. Here we describe an alternative nonintrusive formulation,<br />

where existing acoustic propagation codes can be used to estimate<br />

the chaos coefficients rather than solve for them via a complex set <strong>of</strong><br />

coupled differential equations. <strong>The</strong> nonintrusive formulation involves multiple<br />

solutions <strong>of</strong> an existing deterministic code, e.g., a wide-angle parabolic<br />

equation solver, in conjunction with the Smolyak sparse-grid interpolation<br />

and multidimensional quadrature to obtain uncertainty statistics on the<br />

acoustic field. Research supported by the Office <strong>of</strong> Naval Research.<br />

1:45<br />

2pUW2. A chaos-based wide-angle parabolic equation model for sound<br />

propagation in random ocean. Li Ma and Hao Xing Inst. <strong>of</strong> Acoust., Chinese<br />

Acad. <strong>of</strong> Sci., Beijing 100190, China, mary1968@tom.com<br />

Recently, the chaos-based methods have attracted much attention in<br />

ocean acoustics committee. In this paper, a set <strong>of</strong> partial differential equations<br />

PDEs, which are based on the wide-angle parabolic equation and<br />

Wiener-chaos decomposition, was established to investigate the propagation<br />

<strong>of</strong> sound propagation in the ocean environment with an arbitrary sound<br />

speed pr<strong>of</strong>ile. Simultaneously, a numerical treatment <strong>of</strong> the PDEs, which<br />

employed an implicit difference scheme and a spectral method, was<br />

developed. By using this method, three cases with different kinds <strong>of</strong> randomness<br />

under a distinct ocean environment are studied numerically.<br />

Session 2pUW<br />

Underwater Acoustics: Inversion and Uncertainty<br />

Steven Finette, Chair<br />

Naval Research Laboratory, Washington, DC 20375-5320<br />

Contributed Papers<br />

2:00<br />

2pUW3. Uncertainty and resolution in continuum inversion <strong>of</strong> ocean<br />

bottom geoacoustic properties. Andrew A. Ganse and Robert I. Odom<br />

Appl. Phys. Lab., Univ. <strong>of</strong> Washington, 1013 NE 40th St., Seattle, WA<br />

98105, aganse@apl.washington.edu<br />

Inversion <strong>of</strong> ocean bottom geoacoustic properties from acoustic receptions<br />

in the water column is a nonlinear inverse problem that is inherently<br />

unstable and nonunique. One common approach to stabilizing this problem<br />

is to assume that the ocean bottom is made up <strong>of</strong> a small number <strong>of</strong> layers.<br />

<strong>The</strong> solution from this approach does allow one to reproduce the scattered<br />

sound field if all the other experiment parameters such as frequency and geometry<br />

are also reproduced. However without extensive prior information<br />

about that ocean bottom, this approach yields only one <strong>of</strong> many equivalent<br />

nonunique solutions and may not accurately describe the actual ocean bottom<br />

itself. An alternate approach, which may allow one to reuse the results<br />

later with a different frequency or geometry, is to use the tools <strong>of</strong> geophysical<br />

continuum inversion to specify the degree <strong>of</strong> nonuniqueness by quantifying<br />

both the uncertainty and limited resolution <strong>of</strong> the continuum bottom<br />

solution. This work compares inversion uncertainty and resolution results<br />

for different formulations <strong>of</strong> the data e.g., matched field versus matched<br />

modes versus waveform, different geometries, and different formulations <strong>of</strong><br />

the uncertainty e.g., normally distributed versus including some higherorder<br />

moments. Work partially supported by ONR.<br />

2:15<br />

2pUW4. Resolution matrix perturbation series applied to a nonlinear<br />

ocean acoustic inverse problem. Robert I. Odom and Andrew A. Ganse<br />

Appl. Phys. Lab., Univ. <strong>of</strong> Washington, 1013 NE 40th St, Seattle, WA<br />

98105, odom@apl.washington.edu<br />

<strong>The</strong> resolution operator for a nonlinear inverse problem is the product <strong>of</strong><br />

the estimated inverse <strong>of</strong> the forward model operator and the forward model<br />

operator itself. If the inverse <strong>of</strong> the forward model operator were exact, then<br />

the resolution operator would be the identity, but in general the resolution<br />

operator describes the noninvertible transfer function between the unknown<br />

true environmental model and the limited-resolution version, which<br />

can be estimated from measurements. <strong>The</strong> nonlinear model resolution operator<br />

can be computed iteratively from the Neumann series representation<br />

<strong>of</strong> an estimate <strong>of</strong> the inverse <strong>of</strong> the forward model operator with the assumption<br />

that both the data functional and the model perturbation functional possess<br />

regular perturbation expansions. An example <strong>of</strong> a problem that fits these<br />

2501 J. Acoust. Soc. Am., Vol. 124, No. 4, Pt. 2, October 2008 156th Meeting: <strong>Acoustical</strong> <strong>Society</strong> <strong>of</strong> <strong>America</strong><br />

2501<br />

2p TUE. PM

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!