10,736 research outputs found
Role of scattering in virtual source array imaging
We consider imaging in a scattering medium where the illumination goes
through this medium but there is also an auxiliary, passive receiver array that
is near the object to be imaged. Instead of imaging with the source-receiver
array on the far side of the object we image with the data of the passive array
on the near side of the object. The imaging is done with travel time migration
using the cross correlations of the passive array data. We showed in [J.
Garnier and G. Papanicolaou, Inverse Problems {28} (2012), 075002] that if (i)
the source array is infinite, (ii) the scattering medium is modeled by either
an isotropic random medium in the paraxial regime or a randomly layered medium,
and (iii) the medium between the auxiliary array and the object to be imaged is
homogeneous, then imaging with cross correlations completely eliminates the
effects of the random medium. It is as if we imaged with an active array,
instead of a passive one, near the object. The purpose of this paper is to
analyze the resolution of the image when both the source array and the passive
receiver array are finite. We show with a detailed analysis that for isotropic
random media in the paraxial regime, imaging not only is not affected by the
inhomogeneities but the resolution can in fact be enhanced. This is because the
random medium can increase the diversity of the illumination. We also show
analytically that this will not happen in a randomly layered medium, and there
may be some loss of resolution in this case.Comment: 22 pages, 4 figure
Statistical stability in time reversal
When a signal is emitted from a source, recorded by an array of transducers,
time reversed and re-emitted into the medium, it will refocus approximately on
the source location. We analyze the refocusing resolution in a high frequency,
remote sensing regime, and show that, because of multiple scattering, in an
inhomogeneous or random medium it can improve beyond the diffraction limit. We
also show that the back-propagated signal from a spatially localized
narrow-band source is self-averaging, or statistically stable, and relate this
to the self-averaging properties of functionals of the Wigner distribution in
phase space. Time reversal from spatially distributed sources is self-averaging
only for broad-band signals. The array of transducers operates in a
remote-sensing regime so we analyze time reversal with the parabolic or
paraxial wave equation
Near-field THz imaging and spectroscopy using a multiple subwavelength aperture modulator
We present a near-field, simultaneous multiple pixel subwavelength THz transmission imaging device based on a solid-state THz spatial modulator. Frequency-division multiplexing is used to acquire multiple pixels simultaneously. The modulator was used to acquire THz transmission images with resolution of λ/4 at 118 µm. The image acquisition speed is 16 times greater than that of a comparable single-aperture subwavelength imaging technique. Additionally, spectroscopic THz imaging with subwavelength spatial resolution can be accomplished with the modulator, and the technique is scalable to at least 100 simultaneous pixels
Focusing Light through Random Photonic Media by Binary Amplitude Modulation
We study the focusing of light through random photonic materials using
wavefront shaping. We explore a novel approach namely binary amplitude
modulation. To this end, the light incident to a random photonic medium is
spatially divided into a number of segments. We identify the segments that give
rise to fields that are out of phase with the total field at the intended focus
and assign these a zero amplitude, whereas the remaining segments maintain
their original amplitude. Using 812 independently controlled segments of light,
we find the intensity at the target to be 75 +/- 6 times enhanced over the
average intensity behind the sample. We experimentally demonstrate focusing of
light through random photonic media using both an amplitude only mode liquid
crystal spatial light modulator and a MEMS-based spatial light modulator. Our
use of Micro Electro-Mechanical System (MEMS)-based digital micromirror devices
for the control of the incident light field opens an avenue to high speed
implementations of wavefront shaping
Demixing light paths inside disordered metamaterials
We experimentally demonstrate the first method to focus light inside disordered photonic metamaterials. In such materials, scattering prevents light from forming a geometric focus. Instead of geometric optics, we used multi-path interference to make the scattering process itself concentrate light on a fluorescent nanoscale probe at the target position. Our method uses the fact that the disorder in a solid material is fixed in time. Therefore, even disordered light scattering is deterministic. Measurements of the probes fluorescence provided the information needed to construct a specific linear combination of hundreds of incident waves, which interfere constructively at the probe.\ud
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