100 research outputs found
Inverse scattering for vowel articulation with frequency-domain data
An inverse scattering problem is analyzed for vowel articulation in the human
vocal tract. When a unit amplitude, monochromatic, sinusoidal volume velocity
is sent from the glottis towards the lips, various types of scattering data are
used to examine whether the cross sectional area of the vocal tract can
uniquely be determined by each data set. Among the data sets considered are the
absolute value of the pressure measured at a microphone placed at some distance
from the lips, the pressure at the lips, and the transfer function from the
glottis to the lips. In case of nonuniqueness, it is indicated what additional
information may be used for the unique determination.Comment: 29 pages, 9 figure
Inverse scattering on the line for a generalized nonlinear Schroedinger equation
A one-dimensional generalized nonlinear Schroedinger equation is considered,
and the corresponding inverse scattering problem is analyzed when the potential
is compactly supported and depends on the wave function. The unique recovery of
the potential is established from an appropriate set of scattering data.Comment: 20 page
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