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Accretion onto black holes often proceeds via an accretion disc or a temporary disc-like pattern. Variability features, observed in the light curves of such objects, and theoretical models of accretion flows suggest that accretion discs are inhomogeneous and nonaxisymmetric. Fast orbital motion of the individual clumps can modulate the observed signal. If the emission from these clumps is partially polarized, which is probably the case, then rapid polarization changes of the observed signal are expected as a result of general relativity (GR) effects.
In this contribution we will summarize the expected effects in terms of the model of bright orbiting spots. As the signal from accreting black holes peaks in X-rays, the polarimetry in this spectral band will be particularly useful to examine the strong-gravity effects that should modulate the signal originating near the horizon. We will mention similarities as well as differences between the manifestation of GR polarization change in X-rays and in other spectral bands, such as the infrared region, where the polarization measurements of the radiation flares from the immediate vicinity of the horizon are currently available and can be used to probe the Sagittarius A* supermassive black hole in the Galactic Centre.
Introduction
Polarization of light originating from different regions of a black hole accretion disc and detected by a distant observer is influenced by strong gravitational field near a central black hole.
from
Part II
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Polarized emission in X-ray sources
By
S. Bianchi, Università degli Studi Roma Tre, Italy,
G. Matt, Università degli Studi Roma Tre, Italy,
F. Tamborra, Università degli Studi Roma Tre, Italy,
M. Chiaberge, Space Telescope Science Institute, USA,
M. Guainazzi, XMM-Newton SOC, ESAC, ESA, Spain,
A. Marinucci, Università degli Studi Roma Tre, Italy
The soft X-ray emission in obscured active galactic nuclei (AGN) is dominated by emission lines, produced in a gas photoionized by the nuclear continuum and probably spatially coincident with the optical narrow-line region (NLR). However, a fraction of the observed soft X-ray flux appears like a featureless power law continuum. If the continuum underlying the soft X-ray emission lines is due to Thomson scattering of the nuclear radiation, it should be very highly polarized. We calculated the expected amount of polarization assuming a simple conical geometry for the NLR, combining these results with the observed fraction of the reflected continuum in bright obscured AGN.
Introduction
The presence of a ‘soft excess’, i.e. soft X-ray emission above the extrapolation of the absorbed nuclear emission, is very common in low-resolution spectra of nearby X-ray obscured active galactic nuclei (AGN). It is generally very difficult to discriminate between thermal emission, as expected by gas heated by shocks induced by AGN outflows or episodes of intense star formation, and emission from a gas photoionized by the AGN primary emission. However, the high energy and spatial resolution of XMM-Newton and Chandra have allowed us to make important progress in the last few years.
The photoionization signatures
The high-resolution spectra of the brightest obscured AGN, made available by the gratings aboard Chandra and XMM-Newton, revealed that the ‘soft excess’ observed in CCD spectra was due to the blending of strong emission lines, mainly from He- and H-like transitions of light metals and L transitions of Fe (see Figure 19.1, e.g).
The physical processes postulated to explain the high-energy emission mechanisms of compact astrophysical sources are in many cases predicted to result in polarized soft gamma-rays. The polarisation arises naturally for synchrotron radiation in large-scale ordered magnetic fields and for photons propagating through a strong magnetic field. Polarization can also result from anisotropic Compton scattering. In all cases, the orientation of the polarization plane is a powerful probe of the physical environment around compact astrophysical sources. Observations with PoGOLite will help resolve the source geometry for many classes of astrophysical objects. PoGOLite applies well-type phoswich technology to polarization measurements in the 25–80 keV energy range. The instrument uses Compton scattering and photoelectric absorption in an array of detector cells made of plastic and BGO scintillators, surrounded by a BGO side anticoincidence shield. A pathfinder balloon flight is scheduled for 2010 from the Esrange facility in the north of Sweden with the Crab and Cygnus X-1 as the main observational targets.
Introduction
Despite the wealth of sources accessible to polarization measurements and the importance of these measurements, there has been a paucity of missions with dedicated instrumentation. The most recent was a measurement of the Crab at 2.6 keV and 5.2 keV by an experiment on the OSO-8 satellite in 1976. Measurements using instruments on-board the INTEGRAL satellite have reinvigorated the field of late. At soft gamma-ray energies, nonthermal processes are likely to produce high degrees of polarization.
We present new calculations of X-ray polarization from black hole accretion disks in the thermally dominated state, using a Monte-Carlo ray-tracing code in full general relativity. In contrast to many previously published studies, our approach allows us to include returning radiation that is deflected by the strong-field gravity of the BH and scatters off the disk before reaching a distant observer. Although carrying a relatively small fraction of the total observed flux, the scattered radiation tends to be highly polarized and in a direction perpendicular to the direct radiation. We show how these new features of the polarization spectra may be developed into a powerful tool for measuring black hole spin and probing the gas flow in the innermost disk.
Introduction
A recent flurry of new mission proposals has renewed interest in X-ray polarization from a variety of astrophysical sources, hopefully marking the “coming of age of X-ray polarimetry” in the very near future. The Gravity and Extreme Magnetism SMEX (GEMS) mission, for example, should be able to detect a degree of polarization δ < 1% for a flux of a few mCrab (e.g. and these proceedings). A similar detector for the International X-ray Observatory (IXO) could achieve sensitivity roughly 10× greater (δ <0.1%, Alessandro Brez in these proceedings). In this talk, based on our recent paper, we focus on the polarization signal from accreting stellar-mass black holes (BHs) in the thermal state, which are characterized by a broad-band spectrum peaking around 1 keV.
We explore expected polarization signatures in thermal X-ray emission from magnetized neutron stars. We study the interplay between the photospheres of ordinary and extraordinary modes, and the vacuum resonance. We consider propagation in the neutron star magnetosphere. We identify distinct regimes of magnetic field strengths, and summarize their polarization signatures.
Introduction
We are discussing the state of the art of X-ray polarization detection techniques in this conference, so that it is important to remind ourselves of the expected X-ray polarization properties of various astrophysical objects. In this paper, we give a brief overview of the expected X-ray polarization signatures of magnetic neutron stars found in diverse situations, e.g. in accretion-powered pulsars, low-mass X-ray binaries (LMXBs), recycled pulsars, isolated neutron stars and finally the fascinating magnetars. We concentrate here only on some aspects of the basic physics of radiation propagation around magnetized neutron stars which lead to some basic, expected polarization features in the X-rays which we consider relatively robust. Accordingly, our discussion here is qualitative. Quantitative aspects of a few of these features have been described by other participants of the conference, and detailed calculations on some other aspects will be reported elsewhere.
The X-ray emission we are concerned with here is basically thermal emission from the surface of the neutron star, powered by accretion or otherwise. This radiation propagates through the neutron-star atmosphere, then through the accretion columns over the magnetic poles of the neutron star if it is an accreting one, and finally through the neutron-star magnetosphere.
Advances in X-ray astronomy over the almost five decades since the first rockets were launched have been impressive in the domains of imaging, spectroscopy and timing. On the contrary, polarimetry has not progressed much since the historic results of the Columbia team headed by Bob Novick with rockets and with the OSO-8 satellite. The introduction, since Einstein, of X-ray telescopes and imaging detectors produced a dramatic jump in the sensitivity of X-ray missions. Polarimetry based on the conventional techniques of Bragg diffraction and Compton scattering has suffered from the increased mismatching in terms of sensitivity which resulted in the preclusion of the whole extragalactic sky. Moreover the shift from satellites stabilized on one axis to those stabilized on three axes made cumbersome the hosting of polarimeters, which needed the rotation of the whole instrument, in the focal plane of telescopes. As a consequence no polarimeter was included in the final design of Einstein, Chandra and XMM-Newton.
The advent of a new generation of detectors, to be combined with large area X-ray telescopes, has renewed interest in X-ray polarimetry, as demonstrated by the several polarimetric missions recently proposed. One of them, GEMS, has been recently selected by NASA within the SMEX program, with a launch due in 2014. There are discussions in Italy about the possibility of a national X-ray mission including polarimetry, to be launched in the same time frame.
Young energetic pulsars are capable of accelerating electrons to extremely high energies, which subsequently become visible in the X-ray and low-energy γ-ray domain through synchrotron radiation. The recent polarization measurement of the Crab γ-ray emission provides a powerful investigative tool for the physical conditions and geometry of the magnetic field close to the pulsar. The Crab nebula has been found to emit linearly polarized γ-rays during the off-pulse phase with an efficiency close to the maximum allowable by physics. The close alignment between the electric vector and the spin axis of the neutron star places severe boundaries on theoretical models. The off-pulse γ-radiation is constrained to originate somewhere close to the pulsar, but outside the light cylinder. Three contenders are identified: the striped-wind model; radiation from within the inner jet; Doppler-boosted radiation from knot-like features close to the pulsar.
Introduction
Observations in the γ-ray regime allow us to scrutinize some of the most energetic emission processes associated with cosmic sources. Unlike other wave bands that mainly show emission due to thermal reprocessing within hot gases, the majority of γ-ray emission is decidedly non-thermal in nature and is generally produced directly by electrons and other elementary particles in magnetic fields. The electrons which produce the γ-rays are extremely energetic and often at the upper limit of the capability of the accelerator that produces them.
We present our results of Monte-Carlo simulations of polarized Compton X-rays from magnetic cataclysmic variables, with realistic density, temperature and velocity structures in the accretion flow. Our study has shown that the X-ray linear polarization may reach about 8% for systems with high accretion rates viewed at a high viewing inclination angle. This value is roughly twice the maximum value obtained by previous studies which assumed a cold, static emission region with a uniform density. We also investigate the X-ray polarization properties of ultra-compact double-degenerate binaries for the unipolar-inductor and direct-impact accretor models. Our study has shown negligible X-ray polarization for the unipolar-induction model. However, the direct-impact accretor model may give X-ray polarization levels similar to that predicted for the magnetic cataclysmic variables.
Introduction
Magnetic cataclysmic variables (mCVs) and Ultra-compact double degenerate binaries (UCDs) are potential X-ray polarization sources. The mCVs contain a magnetic white dwarf accreting material from a low-mass, Roche-lobe filling companion star. There are two major types: (i) the AM Herculis binaries (AM Hers, also known as polars) and (ii) the intermediate polars (IPs) (see). In AM Hers, the white-dwarf magnetic field (B ∼ 107 −108 G) is strong enough to lock the whole system into synchronous rotation. It also prohibits the formation of an accretion disk, and the accretion flow is channelled by the magnetic field into the magnetic polar regions of the white dwarf.
Gamma-ray bursts and their afterglows are thought to be produced by an ultrarelativistic jet. One of the most important open questions is the out-flow composition: the energy may be carried out from the central source either as kinetic energy (of baryons and/or pairs), or in electromagnetic form (Poynting flux). While the total observable flux may be indistinguishable in both cases, its polarization properties are expected to differ markedly. The later time evolution of afterglow polarization is also a powerful diagnostic of the jet geometry. Again, with subtle and hardly detectable differences in the output flux, we have distinct polarization predictions.
Introduction
Polarimetry is a powerful diagnostic tool to study spatially unresolved sources at cosmological distances, such as gamma-ray burst (GRB) afterglows. Radiation mechanisms that produce similar spectra can be disentangled by means of their polarization signatures. Also, polarization provides unique insights into the geometry of the source, which remains hidden in the integrated light.
Historically, essentially all interpretative studies about GRB afterglow polarimetry have been based on the cosmological fireball model, which we will also use as a reference for our discussion. Afterglow polarization studies have indeed the advantage that different models are often almost indistinguishable in terms of radiation output in the optical, but produce markedly distinct predictions about polarization.
In this proceeding, we will briefly review in Section 32.2 what we have derived by optical afterglow polarimetric observations and discuss the most recent development in the field in Section 32.3.
In order to measure precisely the polarization of Crab Nebula and Cygnus X-1, we have been developing a hard X-ray polarimeter for balloon-borne experiments called PHENEX (Polarimetry of High ENErgy X-rays). It consists of several detectors called unit counters. The unit counter has a detection efficiency of 20% and a modulation factor of 53% at 80 keV. Up to now, we have finished the installation of eight unit counters to the polarimeter, that will be launched in Spring 2009 to observe the Crab Nebula. If the polarization of this source is more than 30%, the PHENEX polarimeter will be able to measure the degree and the direction of the polarization with errors less than 10% and 10°, respectively.
Introduction
X-ray astronomy has been much advanced by three observations: spectroscopy, timing, and imaging. Also in the hard X-ray region, these three observations will be realized by ASTRO-H and XEUS. However, the observation of the polarization is at the moment left out in spite of its potential usefulness. This is because of the difficulty of developing polarimeters with high sensitivity. Since the origin of the polarization is often due to nonthermal radiation processes such as synchrotron radiation, observations in the hard X-ray region are possibly more important than those in the soft X-ray region: it is expected that the degree of polarization in the hard X-ray region would be higher than that at lower energies.
We present here the design and estimated sensitivity of a hard X-ray polarimeter suitable for a small-satellite mission. Polarization fraction and direction of the X-rays from astronomical objects will be measured by recording the azimuthal anisotropy in the intensity of X-rays subsequent to their Thomson scattering on a circular disk of a light element like Li or Be. Extreme care is taken to make the instrument as azimuthally symmetric as possible and thus avoid spurious anisotropies from being seen. After describing the design of the present instrument, we present a semi-analytic calculation of the angular distribution of the scattered X-rays, taking explicitly into account the competing effects of photoelectric absorption. Thereafter, we derive the sensitivity of the instrument to measure the polarization fraction and the direction for astronomical sources with two possible spectral characteristics – a power law and thermal bremsstrahlung.
Introduction
The study of the polarization of X-ray sources may justifiably be called the next frontier in X-ray astronomy. Such measurements can reveal the physics and astrophysics under extreme conditions that are obtained in the presence of intense magnetic fields and strong gravity surrounding compact objects like pulsars and black holes and those encountered in high Mach number shocks. X-ray polarimetry of astronomical sources is a deep and sensitive probe of the astrophysical conditions that are obtained in these sources. Polarized X-rays are generated through a wide range of physical processes: synchrotron radiation, inverse-Compton scattering of low-energy polarized photons, curvature and thermal radiation in the intense magnetic fields in the polar caps of pulsars, cyclotron emission in neutron star and magnetar magnetic fields, and Thomson scattering from anisotropic systems like jets, disks and plane parallel atmospheres.
POLAR is an instrument designed to measure polarization of gammaray bursts (GRB). The concept is based on building the simplest and the smallest possible instrument that can perform this measurement properly. Compton scattering is used. Energy measurement and localization of the GRB is performed only at a level sufficient to maintain the systematic errors at an acceptable level. If the information of the GRB spectrum and of the GRB localization is known by other means, it could be used to reduce further the systematic errors. The instrument is very light and very compact but has enough acceptance to enable measurement of more than 10 GRB per year with a systematic error less then 10%.
Introduction
Polarization of the prompt signal is a key ingredient to understand the gammaray-burst phenomenon. In fact very different scenarios (for example Poyntingflux-driven or baryon-driven models) differ widely on the predicted polarization level and, at the same time, agree on most of the other measurable parameters.
The bulk of the energy in the prompt signal of GRB is emitted around 100 keV so this is the part of the spectrum that contains the most valuable information. At this energy, the Compton effect dominates. Fortunately the Compton cross section is dependent on the incoming photon polarization, being maximal for scattering angles perpendicular to the polarization direction.
The desirable features for a GRB polarimeter are:
It should be a space instrument because gamma-rays do not penetrate the atmosphere.
It should feature a large angular dependence to collect as many GRB as possible.
POET (Polarimeters for Energetic Transients) represents a concept for a NASA Small Explorer (SMEX) satellite mission, whose principal scientific goal is to understand the structure of GRB sources through sensitive X-ray and γ-ray polarization measurements. The payload consists of two wide field-of-view (FoV) instruments: a low-energy polarimeter (LEP) capable of polarization measurements in the energy range from 2–15 keV and a high-energy polarimeter (Gamma-Ray Polarimeter Experiment or GRAPE) that would measure polarization in the 60–500 keV energy range. The POET spacecraft provides a rotating zenith-pointed platform for dealing with any residual systematic effects in the polarization response and for maximizing the exposure to deep space. POET would be capable of measuring statistically significant polarization (for polarization levels in excess of 20%) for ∼80 GRBs in a two-year mission. High-energy polarization data would also be obtained for SGRs, solar flares, pulsars and other sources of astronomical interest.
Introduction
Gamma-ray bursts (GRBs) are amongst the most energetic events in the universe, and have stimulated intense observational and theoretical research. Theoretical models indicate that a refined understanding of the inner structure of GRBs, including the geometry and physical processes close to the central engine, requires the exploitation of high-energy X-ray and γ-ray polarimetry. To date, observations have been of limited sensitivity and subject to poorly understood systematics. POlarimeters for Energetic Transients (POET) is a SMEX mission concept that is capable of measuring the high-energy polarization of GRBs and other sources of astronomical interest.
At energies above a few keV, photon scattering provides an important means of measuring photon polarization. Here we review the fundamental principles of scattering polarimetry, present a summary of some of the more recent results, and review the prospects for new experimental results within the next few years.
Introduction
It has now been a little more than 100 years since the first reported laboratory measurements of γ-ray polarization based on the use of Compton scattering. Although the first efforts to apply this technique in high-energy (X-ray and γ-ray) astronomy took place almost 40 years ago, this area of research is still in its infancy. This is a notoriously difficult area of research, compounded by the combination of low flux levels, high background rates and instrumental artifacts that can often mimic a polarization signature. Nonetheless, all of the recent polarization measurements have relied on this approach.
Experimental considerations
Scattering polarimetry relies on experimental methods that are based on the scattering of photons off electrons. The scattering of photons off single electrons is variably referred to as Compton scattering or, at lower energies, as Thomson scattering. Thomson scattering is the classical limit of Compton scattering in which there is no loss of energy to the electron. At lower energies, coherent scattering off the atomic electron cloud can also be important.
The Gamma-RAy Polarimeter Experiment (GRAPE) is a concept for an astronomical, hard X-ray, Compton polarimeter operating in the 50–500 keV energy band. The instrument has been optimized for wide-field polarization measurements of transient outbursts from energetic astrophysical objects such as gamma-ray bursts and solar flares. The GRAPE instrument is composed of identical modules, each of which consists of an array of scintillator elements read out by a multi-anode photomultiplier tube (MAPMT). Incident photons Compton-scatter in plastic scintillator elements and are subsequently absorbed in inorganic scintillator elements; a net polarization signal is revealed by a characteristic asymmetry in the azimuthal scattering angles. We have constructed a prototype GRAPE module, containing a single CsI(Na) calorimeter element, which has been calibrated using a polarized hard X-ray beam and flown on an engineering balloon test flight. A full-scale scientific balloon payload, consisting of up to 36 modules, is currently under development. The first flight, a one-day flight scheduled for 2011, will verify the expected scientific performance with a pointed observation of the Crab Nebula. We will then propose long-duration balloon flights to observe gamma-ray bursts and solar flares.
Introduction
The Gamma-RAy Polarimeter Experiment (GRAPE) is a scintillator-based Compton polarimeter designed to observe polarized astrophysical phenomena in the hard X-ray energy band (50–500 keV). Although intended primarily for observations of bright, transient events such as gamma-ray bursts (GRBs) and solar flares, GRAPE may also be operated in a collimated, pointed mode.
We investigate the polarization of Compton scattered X-rays from relativistic jets in active galactic nuclei (AGN) using Monte-Carlo simulations. We consider three scenarios: scattering of photons from an accretion disk, scattering of cosmic microwave background (CMB) photons, and synchrotron self-Comptonization (SSC) within the jet. For Comptonization of thermal disk photons or CMB photons the maximum linear polarization attained is slightly over 20% at viewing angles close to 90°. The value decreases with the viewing inclination. For SSC, the maximum value may exceed 80%. The angle dependence is complicated, and it varies with the photon injection sites. Our study demonstrates that X-ray polarization, in addition to multi-wavelength spectra, can distinguish certain models for emission and particle acceleration in relativistic jets.
Introduction
Observations of extended jets in AGN by Chandra have revealed that the origins of their X-ray emission is less trivial than previous thought (see for X-ray jet surveys). The X-rays may arise from various processes. The polarization in the radio and optical bands suggests that the emission is generated by the synchrotron process. Thus, synchrotron and synchrotron self-Compton (SSC) emission are candidates for the X-ray continuum emission. However, the X-rays can also be generated from external Comptonization (EC) of disk black-body radiation or of the CMB. It has been suggested that X-ray polarization measurements are able to discriminate these competing emission mechanisms.
Radiation of X-ray bursts and of accretion shocks in weakly magnetized neutron stars in low-mass X-ray binaries is produced in plane-parallel atmospheres dominated by electron scattering. We first discuss polarization produced by single (non-magnetic) Compton scattering, in particular the depolarizing effect of high electron temperature, and then the polarization due to multiple electron scattering in a slab. We further predict the X-ray pulse profiles and polarization properties of nuclear-and accretion-powered millisecond pulsars. We introduce a relativistic rotation vector model, which includes the effect of rotation of polarization plane due to the rapid motion of the hot spot as well as the light bending. Future observations of the X-ray polarization will provide a valuable tool to test the geometry of the emission region in pulsars and its physical characteristics.
Introduction
Polarization has proved to be a valuable tool in determining the geometry of the emission region in radio pulsars. For X-ray pulsars, the data are not yet available, but their interpretation in any case is not going to be easy, because of the strong magnetic field effects on the radiation transport. Discovery of millisecond coherent pulsations during X-ray bursts in nearly 20 low-mass X-ray binaries (so-called nuclear-powered millisecond pulsars (NMSP) see and in the persistent emission of at least eight sources (accretion-powered millisecond pulsars (AMSP) see opens a completely new range of possibilities. The emission in these cases is produced at the surface of a rapidly spinning, weakly magnetized neutron star.