CONFUSION NOISE AND BACKGROUND

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Konkoly Infrared & Space Astronomy Group CONFUSION NOISE AND BACKGROUND Csaba Kiss

Introduction Confusion noise was very important for the recent infrared space instruments (e.g. those of IRAS, ISO and Spitzer), especially for the long wavelength filters, where these instruments were heavily confusion noise limited. Confusion noise whatever the source is known to scale with the resolving power of the telescope ( /D). The actual relationship depends on the sky background component considered. These telescopes had <1m diameter primary mirrors, while Herschel will have a ~3.5m mirror. This fact alone should decrease the confusion noise significantly. Question: Is confusion noise important for Herschel at all? 2

Introduction 3

Introduction The relative strength of the expected cirrus and CIB confusion noise for the PACS 160 m filter, with ISO pointing density overlaid 4

Introduction First steps for confusion noise estimates for Herschel: the Herschel Calibration Workshop #1 (December 2004, Leiden). Early 2005: decision to include a confusion noise estimator tool in HSpot. Main sky background components for Herschel: Distant galaxies (extragalactic background / CIB) Dust in the Galactic interstellar medium (cirrus confusion noise) Dust in the Solar System (zodiacal emission and asteroids) Preliminary calculations show the importance of the CIB and cirrus as confusion noise components, but what about the zodiacal emission and asteroids? 5

Asteroids model There has been no reliable model for the contribution of asteroids to the sky background and confusion noise for infrared wavelengths. A complete model of the asteroid component of the infrared sky has been developed, based on Statistical Asteroid Model (SAM) by Tedesco et al. (2005): Ephemerids of 1.9 M asteroids, including different dynamical families in the main belt, with a given albedo and size distribution Extension of the SAM model (with describes the asteroids as seen in the scattered sunlight) to 5...1000 m, where the thermal emission is dominant The spatial and apparent coordinates of each asteroid have been calculated for the period 2000 01 01 2012 12 31, with a 5 day temporal resolution. Based on the solar and geocentric distances, and the mean albedo of the SAM minor planets the temperature distribution was determined on the surface of the asteroid, using the Standard Thermal Model (Lebofsky et al., 1986), and an SED was assigned to each asteroid, at each times step.

Asteroids model Outputs of the model (,,,t): Full fluctuation power: F( ) = (1/ ) Si2( ) [Jy2sr 1]; confusion noise can be calculated directly from as 2( ) = p F( ) (contribution to the photometric accuracy, [Jy]) Fluctuation power and confusion noise due to asteroids below the detection limit ( Flim( ) and 2lim( )) The total count of asteroids, and the count of asteroids above the detection limit, per unit area (Ntot and Nlim [sr 1]) Average contribution of SAM I asteroids to the infrared background (zodiacal emission) at the specific sky area (B0, [MJy sr 1]) These parameters are calculated for geocentric conditions (Akari, Herschel and ground based instrument), but can also be calculated for an arbitrary place in the solar system e.g. for the orbit of the Spitzer Space Telescope.

from the KISAG homepage... 8

/solarsystem/irsam.html 9

Asteroid results Mission average maps: most of the temporal changes in the fluctuation power can be very well described by a constant celestial distribution, if it is transformed to a coordinate system co moving with Earth around the Sun (Helioecliptic coord. sys.). SPIRE 520 m N band 10

Asteroid results Example: Confusion noise due to main belt asteroids for the Herschel/PACS photometric bands 11

Asteroid results Which instruments are affected the most? Mid infrared wavelengths (5...70 m): Asteroid confusion at or close to the ecliptic plane cannot be neglected; in some cases this is the dominant confusion noise component (e.g. for the 9 and 18 m bands of Akari). These sensitivities are only available from space, ground based M, N and Q instruments are far above these limits. Far infrared wavelengths ( >70 m): at the current instrument sensitivities asteroid confusion is negligible for the instruments in operation or set to work in the near future (e.g. the long wavelengths detectors of Spitzer and those of Herschel). However, the present results can serve as reference values for future space IR missions, like SPICA. The count of asteroids above a certain flux limit can be an important question at any wavelength 12

Asteroid results Asteroid confusion noise and visibility constraints for the PACS 100 m photometric band 13

Zodiacal emission fluctuations Zodiacal emission (ZE) peaks at ~20 m, which is far from the Herschel photometric bands Relative amplitude of fluctuations: Ábrahám et al. (1997) found an upper limit of 0.2% for the amplitude of ZE fluctuations relative to the ZE background level at medium and high ecliptic latitudes, based on 25 m ISO/ISOPHOT data. This ratio may be higher close to the ecliptic, but the ZE is rather smooth, except for the regions of cometary trails. This can most likely be neglected for confusion noise purposes The comparison with the IR asteroid model indicate, that majority of the ZE fluctuations are caused by the asteroid distribution, at least close to the ecliptic plane 14

Confusion noise in HSPOT: The Herschel Confusion Noise Estimator Main characteristics: Confusion noise is calculated at the pixel scale this allows us to handle instrument noise and confusion noise together Photometric uncertainties are calculated for the 'per pixel' noise using a noise model this assumes a certain way of point source flux determination Confusion noise is provided for the 6 photometric bands (3 PACS and 3 SPIRE) Cirrus confusion noise is calculated via the surface brightness dependence of this confusion noise component (Helou & Beichman 1990; Gautier et al., 1992; Kiss et al,, 2001, 2003, 2005). There are other ways to do it...see e.g. Jeong et al., (2005, 2006). The cirrus (interstellar matter) surface brightness is provided by the IPAC background server Consideration of measurement configurations / AOTs (from v016 on) 15

Current Status of HCNE Current version: v015 (released on 28 March, 2007), for the Herschel Open Time Key Program AoO The main characteristics are summarized in the release note: http://herschel.esac.esa.int/docs/hcne/pdf/hcne_releasenote_v015_1.pdf Extragalactic background: Calculated according to Lagache et al. (2003, 2004), model version as of December 2006 Cirrus confusion noise: Calculated according to Kiss et al. (2005), using a surface brightness dependent spectral index No other confusion noise (sky background) components are considered 16

HCNE: (near) future developments 1.) Application of improved cirrus confusion noise estimates: The current cirrus confusion noise estimates (Kiss et al., 2005; K05) are based on the ISOPHOT C100_90, C100_100, C200_170 and C200_200 filter measurements (Kiss et al., 2005), that cover only a limited surface brightness range, and are based on relatively few independent sky areas. The extrapolation of the surface brightness dependent spectral index in Kiss et al. (2003) [ = 1.57 log10( B / 1 MJysr 1) 1.67] would result in extremely high confusion noise values for high surface brightness. Alternative estimates by Miville Deschenes et al., 2007: based on the 100 m spatial structure of IRAS/IRIS maps brightness dependent spectral index: = 1.57 log10( B / 1 MJysr 1) 1.67 for B<10MJysr 1, and = 1.57 log10( B / 1 MJysr 1) 1.67 for 17

HCNE: (near) future developments 1.) Application of improved cirrus confusion noise estimates: Alternative estimates by Miville Deschenes et al., 2007 (MD07): based on the 100 m spatial structure of IRAS/IRIS maps (Miville Deschenes et al., 2005) brightness dependence: = 0.26 log10( B / 1 MJysr 1) 2.77 The per beam confusion noise is estimated as (b' is the beam parameter ): N [mjy] = 3.3 106 B100 (B /B100) (b') /2+1 for B100 < 10 MJysr 1 N [mjy] = 1.0 106 B100 (B /B100) (b') /2+1 for B100 10 MJysr 1 Is this good for another instrument? Validation of the MD07 model: Comparison of the MD07 predictions with the K05 measurements 18

HCNE: (near) future developments Comparison of the MD07 predictions with the K05 measurements: ISOPHOT C100_90 and C100_100 fitted confusion noise (K05, continuous curves) and the MD07 predictions (dashed curves) 19

HCNE: (near) future developments 2.) IPAC background server interstellar medium issue : At some sky areas the interstellar medium component in the IPAC background estimator is over/underestimated, due to the constant dust temperature (18K) used for the calculations. The presence of this feature was confirmed by W. Reach, at the same time suggesting the necessary changes in the code (2006). A recent test (end of 2007) have confirmed, that the background server was still using the old code (CK & AM) A correction has been developed and implemented as a new version of HCNE lookup tables (February 3, 2008, CK); it is ready for delivery as a simple lookup table update (HCNE v016) 20