atnf synthesis workshop mosaic(k)ing erwin de blok

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ATNF Synthesis Workshop Mosaic(k)ing Mosaic(k)ing ATNF Synthesis Workshop ATNF Synthesis Workshop Erwin de Blok

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Page 1: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Mosaic(k)ingMosaic(k)ing

ATNF Synthesis WorkshopATNF Synthesis Workshop

Erwin de Blok

Page 2: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Overview

Why mosaicking?Different ApproachesMosaicking in PracticeMosaicking at ATCA

Page 3: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Why Mosaicing?

Source larger than primary beam: > /Do not limited by primary beam size

Source structure at large scales: > /bmino better uv coverage

Page 4: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Single Pointing

)())()(()()( xxSxPxDxI

*

Page 5: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Mosaicing: Individual Approach

Observe single pointingsReduce them separately“Stitch” images togetherDisadvantages:

o Deconvolution non-linear (cleaning bowl)o Overlap regions noisy (primary beam shape)o Expensive in observing timeo Does not use all uv information

OK for high-res where source << field

Page 6: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

ii

iii

xxP

xIxxPxWxM

)(

)()()()(

2

N6822 or Barnards Galaxy

mosaiced with ATCA375,750,1.5k,6k arrays

Page 7: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

The Special Stuff: Ekers & Rots (1979)

Single dish consists of many sub-interferometers

diameter DD

“Fourier coverage”

Single pointing cannot recover information: one visibility, many “interferometers”More pointings (e.g. scanning) can: image

Page 8: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Ekers & Rots Trick 2

An interferometer does not just measure baseline b

It measures spacings between b-D and b+D

b

D D

b b+Db-D

“Fourier coverage”

Page 9: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Ekers & Rots 3

Again, one pointing cannot recover this information (individual approach)

Many pointing together can recover this “extra” coverage (joint approach)

Use all uv data from all pointings simultaneously: better uv-coverage,

better beam, better image

Page 10: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Comparison of beams

Individual Joint

Page 11: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Comparison of uv coverage

Individual Jointboth radial (extra uv coverage) and azimuthal (adjacent pointings)improvement

Page 12: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Mosaicing differences

individual joint

Page 13: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Rectangular grido Nyquist sampling = /2Do = 16.5’ at 21cm at ATCA

Hexagonal grido Nyquist sampling = (2/3) /2Do = 19.0’ at 21cm at ATCAo Solid angle coverage better

Mosaicing Grid

19’

16.5’

Page 14: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Drive times

For short drives: t=2(s/a)1/2

a=400 deg/min2

so for 0.5 degree drive, t = 4.3 sec

Page 15: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Complete uv sampling

One baseline measures region in uv plane with size 2D

At transit, time between independent points is =(86400/2)(2D/L) sec where D=diameter, L=longest baseline

Nyquist sampling for N pointings: dwell time is /2N sec

E.g. 375m: 13.4 min. 750m: 6.7 min

Page 16: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Sch

ed fi

les

(©LSS)®

Page 17: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Mosaicking with MIRIAD

Linear mosaic with LINMOS (after CLEAN/RESTOR on indiv pointings)

MIRIAD has multi-source capability: no need to split files

Making cubes: use INVERT with option=mosaic

Deconvolving: Maximum entropy MOSMEM or cleaning with MOSSDI

Restoring with RESTOR

Page 18: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Other mosaicing software

Classic AIPS: o LTESS (linear)o VTESS, UTESS (non-linear)

AIPS++o part of IMAGER tool o has MEM and clean variationso also has “mosaicwizard”

Page 19: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Summary

Mosaicing is essential for widefield imaging

Mosaicing is easyUse individual approach for high

angular resolution observations where b >> D: minimize primary beam errors

Use joint approach where b D: extra uv information

Page 20: ATNF Synthesis Workshop Mosaic(k)ing Erwin de Blok

ATNF Synthesis Workshop

Literature

Ekers & Rots (1979), IAU Coll 49, 61Cornwell (1988), A&A, 202, 316Cornwell, Holdaway & Uson (1993),

A&A, 271, 697Sault, Staveley-Smith, Brouw (1996),

A&A Sup, 120, 375Holdaway (1998), ASP Conf 180, Ch.

20Sault & Killeen, Miriad manual, Ch. 21