64,206 research outputs found
Dichroism for orbital angular momentum using parametric amplification
We theoretically analyze parametric amplification as a means to produce dichroism based on the orbital angular momentum (OAM) of an incident signal field. The nonlinear interaction is shown to provide differential gain between signal states of differing OAM, the peak gain occurring at half the OAM of the pump field
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Preliminary observations of Rustaveli basin, Mercury
Rustaveli basin on Mercury (82.76° E, 52.39° N) is a 200.5 km diameter peak-ring basin. Since the approval of its name on April 24, 2012, it has not featured prominently in the literature. It is a large and important feature within the Hokusai (H5) quadrangle of which we are currently producing a 1:2M scale geological map. Here, we describe our first observations of Rustaveli
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Preliminary findings from geological mapping of the Hokusai (H5) quadrangle of Mercury
Quadrangle geological maps from Mariner 10 data cover 45% of the surface of Mercury at 1:5M scale. Orbital MESSENGER data, which cover the entire planetary surface, can now be used to produce finer scale geological maps, including regions unseen by Mariner 10.
Hokusai quadrangle (0â90° E; 22.5â66° N) is in the hemisphere unmapped by Mariner 10. It contains prominent features which are already being studied, including: Rachmaninoff basin, volcanic vents within and around Rachmaninoff, much of the Northern Plains and abundant wrinkle ridges. Its northern latitude makes it a prime candidate for regional geological mapping since compositional and topographical data, as well as Mercury Dual Imaging System (MDIS) data, are available for geological interpretation. This work aims to produce a map at 1:2M scale, compatible with other new quadrangle maps and to complement a global map now in progress
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Candidate constructional volcanic edifices on Mercury
[Introduction] Studies using MESSENGER data suggest that Mercuryâs crust is predominantly a product of effusive volcanism that occurred in the first billion years following the planetâs formation. Despite this planet-wide effusive volcanism, no constructional volcanic edifices, characterized by a topographic rise, have hitherto been robustly identified on Mercury, whereas constructional volcanoes are common on other planetary bodies in the solar system with volcanic histories. Here, we describe two candidate constructional volcanic edifices we have found on Mercury and discuss how these edifices may have formed
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Spatial distribution and morphometric measurements of circum-Caloris knobs on Mercury: Application of novel shadow measurements
The Caloris basin (1550 km diameter) is the largest, well-preserved impact feature on Mercury. Its impact ejecta, excavated from the lower crust and uppermost mantle, provides an opportunity to investigate the interior materials of the planet. Based on Mariner 10 data, which cover only the eastern third of the basin, âhummocky plainsâ, associated with Caloris, consisting of âlow, closely spaced to scattered hills 0.3-1 km acrossâ were interpreted as Caloris impact ejecta. These plains were subsequently named the Odin Formation, and the knobs associated with them were interpreted as degraded ejecta blocks. To test for an impact ejecta origin for the circum-Caloris knobs, we have mapped their locations and made morphometric measurements and high-resolution observations
Ill-posedness of degenerate dispersive equations
In this article we provide numerical and analytical evidence that some
degenerate dispersive partial differential equations are ill-posed.
Specifically we study the K(2,2) equation and
the "degenerate Airy" equation . For K(2,2) our results are
computational in nature: we conduct a series of numerical simulations which
demonstrate that data which is very small in can be of unit size at a
fixed time which is independent of the data's size. For the degenerate Airy
equation, our results are fully rigorous: we prove the existence of a compactly
supported self-similar solution which, when combined with certain scaling
invariances, implies ill-posedness (also in )
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