LOFAR Calibration of the Ionosphere and Other Fun Things

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LOFAR Calibration of the Ionosphere and Other Fun Things anderson@mpifr-bonn.mpg.de LIONS (LOFAR IONospheric Simulations) http://www.strw.leidenuniv.nl/lofarwiki/doku.php?id=lions bemmel@strw.leidenuniv.nl LOFAR Long Baseline Working Group (Vogt & Anderson) Effelsberg LOFAR Station Manager (with W Reich) LOFAR Cosmic Magnetism KSP (R Beck) LIONS 1/33

LOFAR IONospheric Simulations Leiden: Niruj Mohan Ramanujam, Aleksander Usov, Amitesh Omar, Huib Intema, Ilse van Bemmel, Mamta Pandey, Huub Röttgering, Reinout van Weeren, Sridharan Rengaswamy ASTRON: Jan Noordam,, Oleg Smirnov,, Ronald Nijboer, Ger de Bruyn,... Groningen: Maaijke Mevius MPIfR Bonn: TU Delft: Bas van der Tol, Hans van der Marel Oxford: Hans Kloeckner, Steve Rawlings, Ian Heywood,... RAL Bath: Ian McCrea, Cathryn Mitchell, Paul Spencer Aberystwyth: Richard Fallows, Manuel Grande Cambridge: Software Postdoc TBD 2/33

Outline: LOFAR (Ionospheric) Calibration LOFAR hardware review LOFAR processing software Sensitivity and sources SPAM to MIM (and more calibration terms) Refraction 3/33

LOFAR: The Low Frequency Array Aperture array technology digital processing Low Band (LBA) normally 30 to 80 MHz can do 10 to 80 MHz High Band (HBA) Core (2 km diameter) Remote (inside NL) International (outside NL) } 120 to 240 MHz 3rd input unused Orginal LOFAR } Current LOFAR 4/33

Core 2 km diameter Micky Mouse design Station Beam FWHM 8.7 6.6 5.3 2.6 30 75 120 240 MHz Synthesized beam 800 300 200 100 30 75 120 240 MHz 5/33

Remote Up to 130 km baselines Circular-pair half-design Station Beam FWHM 8.7 6.6 3.7 1.9 30 75 120 240 MHz Synthesized beam 20 30 8 5 3 75 120 240 MHz 6/33

International ~1000 km baselines Original station design Station Beam FWHM 9.9 4.0 2.5 1.2 30 75 120 240 MHz Synthesized beam 1.7 0.7 0.4 0.2 30 75 120 240 MHz 7/33

Rollout 2008 Jun: BlueGene L replaced with BlueGene P 2008 Jul: Remote station installation began 2008 Aug Sep: Intl. station installation begins 2008 Oct: Core station installation begins 2009 Apr: LOFAR Phase 1, major commissioning phase 13 Core, 7 Remote, 7 International LOFAR stations Global Sky Model observations (coordinate reference system) Million Source Shallow Survey (all-sky < 3 months) LOFAR Long Baseline Working Group astrometry survey Tied-array mode, CR, etc. Magnetism KSP commissioning and initial science? 2010 Mid: LOFAR Phase 2, all antennas in place >~ 2010: E-LOFAR (???) 8/33

Frequency Selection Station A/D converters form 100 MHz or 80 MHz bands These are divided into 512 subbands (IFs) of about 200 khz Station beams can send back an arbitrary subset of these subbands Frequency coverage not required to be contiguous Calibration will work best in full production system with wide frequency coverage Up to 8 (16, 32) beams, for 16 (8, 4) bit samples, with a combined bandwidth of up to 32 (64, 128) MHz But some fraction of that will be taken up by calibration beams Correlator creates 256 channels within each subband, so final channel resolution is < 1 khz 9/33

Data Rates And Processing Theoretical data rate out of correlator (full processing) in GB/s for the standard 16 bit sample mode Baselines Dutch International LBA 1 9 HBA 3 17 Data rates would grow by a factor of 4 for the 4 bit sample mode if LOFAR can deal with the data rate Currently each subband (IF) is processed semi-independently RFI flagging and coarse calibration Possible frequency averaging to lower effective data rate during calibration 10/33

Outline: LOFAR (Ionospheric) Calibration LOFAR hardware review LOFAR processing software Sensitivity and sources SPAM to MIM (and more calibration terms) Refraction 11/33

Interferometry Processing Path LAD presentation by M. Wise Current pipeline system for imaging working in Groningen Can already deal with modestly large number of bselines Current software really only works (tested) for baselines < 2 km Huge amount of work to be done by April next year for new stations 12/33

MeqTrees LOFAR CS1 HBA image by Sarod Not officially part of LOFAR But being used for much of the LOFAR development and commissioning Ease of installation now greatly improved Rapidly expanding userbase CasaCore and Python Used in CA and NL for focal-plane array calibration Heavily used for SKA simulations http://www.astron.nl/meqwiki Bonn MeqTrees Seminar presentations available at http://usg.lofar.org/wiki/doku.php?id=documents:minutes:2008:2008-05-26_meqtrees_seminar 13/33

BBS (Blackboard Selfcal) GLOW presentation by Vogt LAD presentation by M. Wise Main LOFAR pipeline software C++ and Python, casacore based (eventually) CImager runs in parallel environment Cluster calibration software --- fits calibration terms using information from many subbands (IFs) simultaneously 14/33

Outline: LOFAR (Ionospheric) Calibration LOFAR hardware review LOFAR processing software Sensitivity and sources SPAM to MIM (and more calibration terms) Refraction 15/33

User Sensitivity: I Full (international) LOFAR about 2 times better than NL LOFAR HBA sensitivity roughly flat LBA system peaks around 56 MHz Noise increases rapidly to low frequencies 16/33

Calibration Sensitivity: I 10 s is approximate timescale for ionospheric changes Several beams, MHz of bandwidth dedicated to calibration observations HBA sensitivity roughly flat LBA system peaks around 56 MHz Noise increases rapidly to low frequencies But so may flux density... 17/33

Single Pol Selfcal Noise Level Selfcal equivalent flux density for a single station (ear) naturally larger than image sensitivity Inclusion of longer baselines assumes that sufficient flux density can be found at high resolution 18/33

Selfcal for Different LOFAR Stations (Ears) Noise level (generally) decreases going to the more distant stations, as they have more collecting area But flux density rapidly drops off for long baselines LBA system (< 100 MHz) difficult to calibrate for 1000 km baselines Very few ~several Jy sources at that resolution Need many short baselines to every International LOFAR station 19/33

Global Sky Model LOFAR calibration will not be performed using isolated point sources At most resolutions calibrators will be resolved Fields of view are huge, with strong, distant sidelobes, so there are no isolated sources LOFAR Global Sky Model Catalog of > millions of sources Brightness, shape, polarization, rotation measure,... Coordinate reference system Calibration uses a subset of the Global Sky Model with many sources in the primary beam and sidelobes More flux density for calibration More lines of sight through ionosphere 20/33

Outline: LOFAR (Ionospheric) Calibration LOFAR hardware review LOFAR processing software Sensitivity and sources SPAM to MIM (and more calibration terms) Refraction 21/33

SPAM is the PhD dissertation work of Huib Intema, Leiden Slides taken from Huib's 2008 May LIONS presentation 22/33

23/33

24/33

25/33

BBS Calibration Development Stages Currently implementing SPAM in BBS 2-D ionosphere model now, fits phases Easily extended to 3-D model (extra ~ 2 weeks of development time) LOFAR use of SPAM intended as temporary solution to get LOFAR going while more complicated algorithms are coded SPAM requires initial calibration from somewhere... Long-term algorithm development will fit ionospheric TEC directly to observations Minimum Ionosphere Model (MIM, Noordam et al.) Telescope-based MIM of Noordam fully generalized, and easy to transform results for application of calibration 3-D ionosphere-based MIM of Anderson more complicated to apply to observations, but easier to apply ionospheric physics 26/33

Calibration Details (Future Development) Clock offsets (1 param) LOFAR is a VLBI instrument Ionospheric Terms Ionospheric delay (MIM) Faraday refraction (MIM) Ionospheric absorption (derived) Ionospheric refraction (derived) Also changes station position for (u,v,w) calculation depending on frequency Troposphere Station position offsets (3 param) Weather fronts, ocean loading, and so on produce significant station position offsets even on Dutch baselines Instrumental terms Delay (standard model or MIM) Pressure information from station weather data may be good enough for modeling, but must be calculated over wide-field Complex station/tile/dipole gains (several param + model) Beamformer sawtooth Beamformer delays Dipole/Tile/Station delay and phase offsets Reception location depends on incidence angle (extra station position shift) 27/33

Outline: LOFAR (Ionospheric) Calibration LOFAR hardware review LOFAR processing software Sensitivity and sources SPAM to MIM (and more calibration terms) Refraction 28/33

Ionospheric Refraction In addition to ionospheric delay and Faraday rotation, refraction is important at low frequencies Strongly increases toward lower frequencies Substantial fraction of beam FWHM at low elevations Can have a significant impact on gain calibration To first order interferometer delays are insensitive to this, but... 29/33

Extra Delay from Refraction To higher order, ionospheric refraction is important Bent path delay does not follow standard ionospheric path delay ν 2 relationship --- extra calibration challenge 30/33

Station Position Shift by Refraction Ray path outside of Earth's atmosphere is different (u,v) coordinates are different from simple geometric prediction Fractional (u,v) difference can be many percent, even on short baselines 31/33

Need to Bring In Ionospheric Scientists More work here than we can deal with Need help inverting measurements to electron content LIONS working with different ionospheric groups Refraction, absorption, etc. LOFAR calibration will eventually use realtime GPS-based 3-D ionosphere models from MIDAS Special joint session at URSI GA on Thursday afternoon 32/33

Final Thoughts (Or, Other Random Topics for Discussion) Adopting common terminology useful What software packages are being used? Any hope of adopting common basic libraries (casacore)? File formats FITS-IDI needs some updating for aperture arrays (phased arrays and focal-plane arrays). Please contact me if you are interested in working out some of the details. LOFAR also re-examining our image storage format LOFAR will probably use HDF5 internally, not FITS or aips++ measurement sets. But we are aiming to adhere to a common information content, and will be able to produce standard (FITS?) files Astrophysics with E-LOFAR, Hamburg, 2008 Sep 15--19 33/33