226 research outputs found
Phaseless inverse scattering in the one-dimensional case
We consider the one-dimensional Schr\"odinger equation with a potential
satisfying the standard assumptions of the inverse scattering theory and
supported on the half-line . For this equation at fixed positive energy
we give explicit formulas for finding the full complex valued reflection
coefficient to the left from appropriate phaseless scattering data measured on
the left, i.e. for . Using these formulas and known inverse scattering
results we obtain global uniqueness and reconstruction results for phaseless
inverse scattering in dimension
Formulas for phase recovering from phaseless scattering data at fixed frequency
We consider quantum and acoustic wave propagation at fixed frequency for
compactly supported scatterers in dimension . In these framework we
give explicit formulas for phase recovering from appropriate phaseless
scattering data. As a corollary, we give global uniqueness results for quantum
and acoustic inverse scattering at fixed frequency without phase information
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