arXiv subjects

David N. Spergel

Publications and source records attributed to David N. Spergel.

At least 235 records · Page 13Linked to original sources

arXiv2004

Optimal Asymmetric Apodizations and Shaped Pupils for Planet Finding Coronagraphy

The realization that direct imaging of extrasolar planets could be technologically feasible within the next decade or so has inspired a great deal of recent research into high-contrast imaging. We ourselves have contributed several design ideas, all of which can be described as shaped pupil coronagraphs. In this paper, we offer a complete and unified survey of asymmetric shaped pupils designs, some of which have been published in our previous papers. We also introduce a promising new design, which we call barcode masks. These masks achieve the required contrast with a fairly large discovery zone and throughput but most importantly they are perhaps the easiest to manufacture and might therefore stand up best to a refined analysis based on vector propogation techniques.

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arXiv2004

Rectangular-Mask Coronagraphs for High-Contrast Imaging

We present yet another new family of masks for high-contrast imaging as required for the to-be-built terrestrial planet finder space telescope. The ``best'' design involves a square entrance pupil having a 4-vane spider, a square image-plane mask containing a plus-sign shaped occulter to block the starlight inside 0.6 lambda/D, and a Lyot-plane mask consisting of a rectangular array of rectangular opennings. Using Fraunhofer analysis, we show that the optical system can image a planet 10^{-10} times as bright as an on-axis star in four rectangular regions given by {(xi,zeta): 1.4 < | xi | < 20, 1.4 < | zeta | < 20}. Since the design involves an image plane mask, pointing error is an issue. We show that the design can tolerate pointing errors of about 0.05 lambda/D. The inclusion of a 4-vane spider in the entrance pupil provides the possibility to build a mirror-only on-axis system thereby greatly reducing the negative effects of polarization. Each of the masks can be realized as two masks consisting of stripes of opaque material with the stripes oriented at right angles to each other. We call these striped masks barcode masks. We show that it is sufficient for the barcode masks by themselves to provide 10^{-5} contrast. This then guarantees that the full system will provide the required 10^{-10} contrast.

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arXiv2003

Constraining the Topology of the Universe

The first year data from the Wilkinson Microwave Anisotropy Probe are used to place stringent constraints on the topology of the Universe. We search for pairs of circles on the sky with similar temperature patterns along each circle. We restrict the search to back-to-back circle pairs, and to nearly back-to-back circle pairs, as this covers the majority of the topologies that one might hope to detect in a nearly flat universe. We do not find any matched circles with radius greater than 25 degrees. For a wide class of models, the non-detection rules out the possibility that we live in a universe with topology scale smaller than 24 Gpc.

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arXiv2003

Beyond the Damping Tail: Cross-Correlating the Kinetic Sunyaev-Zel'dovich Effect with Cosmic Shear

Secondary anisotropies of the CMB have the potential to reveal intricate details about the history of our universe between the present and recombination epochs. However, because the CMB we observe is the projected sum of a multitude of effects, the interpretation of small scale anisotropies by future high resolution experiments will be marred by uncertainty and speculation without the handles provided by other observations. In this paper we show that cross correlating the CMB with an overlapping weak lensing survey will isolate the elusive kinetic Sunyaev-Zel'dovich Effect from secondary anisotropies generated at higher redshifts. We show that if upcoming high angular resolution CMB experiments, like PLANCK/ACT/SPT, cover the same area of sky as current and future weak lensing surveys, like CFTHLS/SNAP/LSST, the cross correlation of cosmic shear with the kSZ effect will be detected with high signal to noise ratio, increasing the potential science accessible to both sets of surveys. For example, if ACT and a CFHTLS like survey were to overlap this cross-correlation would be detected with a total signal to noise ratio greater than 220, reaching 1.8 per individual multipole around l \sim 5000. Furthermore, this cross-correlation probes the three point coupling between the underlying dark matter and the "momentum" of the ionized baryons in the densest regions of the universe at intermediate redshifts. Similar to the tSZ power spectrum, its strength is extremely sensitive to the power spectrum normalization parameter, σ_8, scaling roughly as σ_8^7. It provides an effective mechanism to isolate any component of anisotropy due to patchy reionization and rule out primordial small scale anisotropy.

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arXiv2003

Circularly Symmetric Apodization via Starshaped Masks

Recently, we introduced a class of shaped pupil masks, called spiderweb masks, that produce point spread functions having annular dark zones. With such masks, a single image can be used to probe a star for extrasolar planets. In this paper, we introduce a new class of shaped pupil masks that also provide annular dark zones. We call these masks starshaped masks. Given any circularly symmetric apodization function, we show how to construct a corresponding starshaped mask that has the same point-spread function (out to any given outer working distance) as obtained by the apodization.

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arXiv2003

Notch Filter Masks: Practical Image Masks for Planet-Finding Coronagraphs

An ideal coronagraph with a band-limited image mask can efficiently image off-axis sources while removing identically all of the light from an on-axis source. However, strict mask construction tolerances limit the utility of this technique for directly imaging extrasolar terrestrial planets. We present a variation on the basic band-limited mask design--a family of ``notch filter'' masks--that mitigates this problem. These robust and trivially achromatic masks can be easily manufactured by cutting holes in opaque material.

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arXiv2003

Spiderweb Masks for High-Contrast Imaging

Motivated by the desire to image exosolar planets, recent work by us and others has shown that high-contrast imaging can be achieved using specially shaped pupil masks. To date, the masks we have designed have been symmetric with respect to a cartesian coordinate system but were not rotationally invariant, thus requiring that one take multiple images at different angles of rotation about the central point in order to obtain high-contrast in all directions. In this paper, we present a new class of masks that have rotational symmetry and provide high-contrast in all directions with just one image. These masks provide the required 10^{-10} level of contrast to within 4 lambda/D, and in some cases 3 lambda/D, of the central point, which is deemed necessary for exosolar planet finding/imaging. They are also well-suited for use on ground-based telescopes, and perhaps NGST too, since they can accommodate central obstructions and associated support spiders.

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arXiv2002

Using Supernovae to Determine the Equation of State of the Dark Energy: Is Shallow Better than Deep?

Measurements of the flux and redshifts of Type Ia supernovae have provided persuasive evidence that the expansion of the universe is accelerating. If true, then in the context of standard FRW cosmology this suggests that the energy density of hte universe is dominated by "dark energy" -- a component with negative pressure of magnitude comparable to its energy density. To further investigate this phenomenon, more extensive surveys of supernovae are being planned. Given the likely timescales for completion, by the time data from these surveys are available some important cosmological parameters will be known to high precision from CMB measurements. Here we consider the impact of that foreknowledge on the design of supernova surveys. In particular we show that, despite greater opportunities to multiplex, purely from the point of view of statistical errors, a deep survey may not obviously be better than a shallow one.

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arXiv2002

Journey to the edge of time: The GREAT mission

We are surrounded by radiation that originated from the big bang. It has traveled to us from the farthest reaches of the Universe, carrying with it an unaltered record of the beginning of time and space. The radiation is in the form of gravitational waves - propagating ripples in the curvature of spacetime. We describe a mission to detect these Gravitational Echos Across Time (GREAT) that would open up a new window on the very early universe. By studying the gravitational echoes of the big bang we will gain insight into the fundamental structure of matter, gravity, and how the Universe formed.

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arXiv2002

Dark energy and cosmic microwave background bispectrum

We compute the cosmic microwave background bispectrum arising from the cross-correlation of primordial, lensing and Rees-Sciama signals. The amplitude of the bispectrum signal is sensitive to the matter density parameter, Omega_0, and the equation of state of the dark energy, which we parameterize by w_Q. We conclude that the dataset of the Atacama Cosmology Telescope, combined with MAP 2-year data or the Planck data set alone will allow us to break the degeneracy between Omega_0 and w_Q that arises from the analysis of CMB power spectrum. In particular a joint measurement of Omega_0 and w_Q with 10% and 30% error on the two parameters respectively, at the 90% confidence level can realistically be achieved.

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arXiv2001

How Lumpy is the Milky Way's Dark Matter Halo?

CDM simulations predict that there are hundreds of lumps of with masses greater than 10e7 solar masses in the Milky Way halo. However, we know of only a dozen dwarf satellites close to this mass. Are these lumps simply lacking in stars or is there a fundamental flaw in our most popular cosmology? By studying the tidal debris of known satellites we can potentially address this question. In this paper, we quantify the the effects of the dark matter lumps on tidal tails. The lumps scatter stars in the tidal tails from their original orbits producing a distinctive signature. We simulate debris evolution in smooth and lumpy halos potentials and use our simulations to motivate and test a statistical measure of the degree of scattering apparent in the angular position and radial velocity measurement of debris stars - the ``scattering index''. We find that the scattering index can in general distinguish between the levels of substructure predicted by CDM cosmologies and smooth Milky Way models, but that the sensitivity of the debris depends on the orientation of the parent satellite's orbit relative to the largest lumps orbits. We apply our results to the carbon star stream associated with the Sagittarius dwarf galaxy (Sgr) and find that these stars appear to be more scattered than we expect for debris orbiting in a smooth halo. However, the degree of scattering is entirely consistent with that expected due to the influence of the Large Magellanic Cloud, which is on an orbit that intersects Sgr's own. We conclude that the current data is unable to constrain CDM models. Nevertheless, our study suggests that future data sets of debris stars associated with other Milky Way satellites could provide strong constraints on CDM models.

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arXiv2001

Predictions for the Counts of Faint, High-Redshift Galaxies in the Mid-Infrared

Deep mid-infrared (MIR) observations could reveal a population of faint, high-redshift (z>3) dusty starburst galaxies that are the progenitors of present-day spheroids or bulges, and are beyond the reach of current instruments. We utilize a semi-analytic galaxy formation scheme to find an extreme model for the MIR galaxy counts, designed to maximize the number of detectable sources down to a flux level of a few nJy. The model incorporates the formation of heavily dust-enshrouded stellar populations at high redshift, and is consistent with existing observations, including faint counts at 1.6um in the NICMOS Hubble Deep Field, and the upper limit on the extragalactic MIR background from TeV gamma rays. Our models predict upto 0.5 galaxies/sq.arcsec at the threshold of 100 nJy at 6um, with a comparable or larger surface density at longer MIR wavelengths. We conclude that a significant new population of high-redshift galaxies could be detected by the Space Infrared Telescope Facility (SIRTF) and Next Generation Space Telescope (NGST). Such a population would constitute background noise for the Terrestrial Planet Finder (TPF), and could necessitate repeat observations: every {\it TPF} resolution element have a 10 percent chance of being contaminated by a background galaxy.

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arXiv2001

Rayleigh Scattering and Microwave Background Fluctuations

During the recombination epoch, cosmic background photons couple not only to free electrons through Thompson scattering, but also to the neutral hydrogen through Rayleigh scattering. This latter is ~2% effect for photons near the peak of the photon energy distribution at z=800 and a ~0.2% effect at z=1100. Including Rayleigh scattering in the calculation reduces Silk damping at fixed redshift, alters the position of the surface of last scattering and alters the propagation of acoustic waves. We estimate the amplitude of these effects. For the Microwave Anisotropy Probe (MAP), Rayleigh scattering increases the anisotropy spectrum by 0.1% at the most. For the highest frequencies of the Planck Surveyor, the effects of Rayleigh scattering are much more dramatic (decreasing the anisotropy spectrum by 3% at ν~550GHz and l~1000). The relative difference between the spectra of low and high frequencies is imposed by an oscillation with a function of multipole l and the oscillation amplitude is up to 0.5% between 100 and 550GHz. Rayleigh scattering also slows the decoupling between radiation and matter, but the effect is undetectably small.

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arXiv2001

Measurement of the cosmic microwave background bispectrum on the COBE DMR sky maps

We measure the angular bispectrum of the cosmic microwave background (CMB) radiation anisotropy from the COBE Differential Microwave Radiometer (DMR) four-year sky maps. The angular bispectrum is the harmonic transform of the three-point correlation function, analogous to the angular power spectrum, the harmonic transform of the two-point correlation function. First, we study statistical properties of the bispectrum and the normalized bispectrum. We find the latter more useful for statistical analysis; the distribution of the normalized bispectrum is very much Gaussian, while the bare bispectrum distribution is highly non-Gaussian. Then, we measure 466 modes of the normalized bispectrum, all independent combinations of three-point configurations up to a maximum multipole of 20, the mode corresponding to the DMR beam size. By measuring 10 times as many modes as the sum of previous work, we test Gaussianity of the DMR maps. We compare the data with the simulated Gaussian realizations, finding no significant detection of the normalized bispectrum on the mode-by-mode basis. We also find that the previously reported detection of the normalized bispectrum is consistent with a statistical fluctuation. By fitting a theoretical prediction to the data for the primary CMB bispectrum, which is motivated by slow-roll inflation, we put a weak constraint on a parameter characterizing non-linearity in inflation. Simultaneously fitting the foreground bispectra estimated from interstellar dust and synchrotron template maps shows that neither dust nor synchrotron emissions significantly contribute to the bispectrum at high Galactic latitude. We conclude that the DMR map is consistent with Gaussianity.

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arXiv2001

Are Clusters Standard Candles? Galaxy Cluster Scaling Relations With the Sunyaev-Zeldovich Effect

An extensive sample of galaxy clusters will be available in the coming years, detected through their Sunyaev-Zeldovich effect (SZE). We use a semi-analytic model to study the scientific yield of combining SZE data with X-ray and optical follow-up observations. If clusters at a given redshift z_o can be identified with virialized, spherical halos, they populate a well-defined "fundamental plane" (FP) in the parameter space of the three observables: virial temperature (T), total Sunyaev-Zeldovich flux decrement (DS), and angular size (theta). The location and orientation of the FP, as well as its redshift-evolution, are sensitive to both the internal evolution of clusters, and to the underlying cosmological parameters. We show that if clusters are not standard candles (e.g. due to feedback, or energy injection), then this can be inferred from the FP. Likewise, we study the dependence of the FP on the cosmological parameters h, sigma_8, and Omega_0, and quantify constraints on these parameters. We also show that in the absence of any non-gravitational effects, the scatter in the the (DS-T) plane is significantly smaller than in either the (theta-T) or the (theta-DS) planes. As a result, the (DS-T) relation can be an exceptionally sensitive probe of both cluster physics and cosmological parameters, and a comparison of the amount of scatter in these three scaling relations will serve as a test of the origin (cosmological vs. stochastic) of the scatter.

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arXiv2001

A New Pupil for Detecting Extrasolar Planets

The challenge for optical detection of terrestial planet is the 25 magnitude brightness contrast between the planet and its host star. This paper introduces a new pupil design that produces a very dark null along its symmetry axis. By changing the shape of the pupil, we can control the depth and location of this null. This null can be further enhanced by combining this pupil with a rooftop nuller or cateye nuller and an aperture stop. The performance of the optical system will be limited by imperfections in the mirror surface. If the star is imaged with and without the nuller, then we can characterize these imperfections and then correct them with a deformable mirror. The full optical system when deployed on a 6 $\times$ 10 m space telescope is capable of detecting Earthlike planets around stars within 20 parsecs. For an Earthlike planet around a nearby stars (10 parsecs), the telescope can characterize its atmosphere by measuring spectral lines in the 0.3 - 1.3 micron range.

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arXiv2000

Acoustic Signatures in the Primary Microwave Background Bispectrum

If the primordial fluctuations are non-Gaussian, then this non-Gaussianity will be apparent in the cosmic microwave background (CMB) sky. With their sensitive all-sky observation, MAP and Planck satellites should be able to detect weak non-Gaussianity in the CMB sky. On large angular scale, there is a simple relationship between the CMB temperature and the primordial curvature perturbation. On smaller scales; however, the radiation transfer function becomes more complex. In this paper, we present the angular bispectrum of the primary CMB anisotropy that uses the full transfer function. We find that the bispectrum has a series of acoustic peaks that change a sign, and a period of acoustic oscillations is twice as long as that of the angular power spectrum. Using a single non-linear coupling parameter to characterize the amplitude of the bispectrum, we estimate the expected signal-to-noise ratio for COBE, MAP, and Planck experiments. We find that the detection of the primary bispectrum by any kind of experiments should be problematic for the simple slow-roll inflationary scenarios. We compare the sensitivity of the primary bispectrum to the primary skewness and conclude that when we can compute the predicted form of the bispectrum, it becomes a ``matched filter'' for detecting the non-Gaussianity in the data, and much more powerful tool than the skewness. We also show that MAP and Planck can separate the primary bispectrum from various secondary bispectra on the basis of the shape difference. The primary CMB bispectrum is a test of the inflationary scenario, and also a probe of the non-linear physics in the very early universe.

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arXiv2000

The cosmic microwave background bispectrum as a test of the physics of inflation and probe of the astrophysics of the low-redshift universe

Why is non-Gaussianity interesting? One of generic predictions from inflationary scenarios is that primordial fluctuations are exactly Gaussian in linear order; however, the non-linearity in the inflation will produce weak non-Gaussianity. Thus, measuring the non-Gaussianity in the cosmic microwave background radiation anisotropy is a probe of the non-linear physics in the very early universe. Since the angular three point function is zero for the Gaussian field, it is sensitive to the non-Gaussianity. We predict its harmonic transform counterpart, the angular {\it Bispectrum}, down to arcminutes angular scales, including the full effect of the radiation transfer function. We find that even the Planck experiment cannot detect the primary bispectrum from the inflation, as long as the single field slow-roll inflation is right. Non-linearities in the low redshift universe also produce the non-Gaussianity. We find that secondary bispectra are detectable by both MAP and Planck experiments. The secondary bispectra probe the non-linear physics of the low-redshift universe. Although this could be a contaminant to the primary signal, MAP and Planck experiments are found to be able to separate the primary from secondary effects well. We present a tentative comparison of the primary bispectrum to the published COBE 4 year bispectrum. The data put a weak constraint on the parameter, and the constraint would become much tighter when we use all modes available in the COBE data, and certainly forthcoming satellite experiments. As a conclusion, the bispectrum is a key measure to confirm or destroy the simple inflationary scenario in non-linear order that seems quite successful in linear order.

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