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A spatially resolved study of ionized regions in galaxies at different ...

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62 3 • IFS <strong>of</strong> a GEHR <strong>in</strong> NGC 6946<br />

on the orography <strong>of</strong> the observ<strong>at</strong>ory.<br />

The empirical DAR correction is performed by trac<strong>in</strong>g the <strong>in</strong>tensity peak <strong>of</strong> a reference<br />

object <strong>in</strong> the FOV, like a star or an un<strong>resolved</strong> po<strong>in</strong>t source (i.e. cluster or nucleus <strong>of</strong> a type<br />

I AGN). Thus, the effect <strong>of</strong> the DAR can be easily measured by fitt<strong>in</strong>g a two-dimensional<br />

Gaussian function to each narrow-band image <strong>of</strong> the d<strong>at</strong>acube to the bright po<strong>in</strong>t source<br />

to determ<strong>in</strong>e the centroid position. This can be done by us<strong>in</strong>g the imcntr task <strong>in</strong> IRAF.<br />

A medium-order polynomial function (3 to 5 is usually enough) is fitted to the distribution<br />

<strong>of</strong> the centroid coord<strong>in</strong><strong>at</strong>es as a function <strong>of</strong> wavelength, giv<strong>in</strong>g the rel<strong>at</strong>ive shifts <strong>in</strong> right<br />

ascension and decl<strong>in</strong><strong>at</strong>ion (th<strong>at</strong> is to say, shifts <strong>in</strong> x and y pixel coord<strong>in</strong><strong>at</strong>es) for each slide.<br />

When fitt<strong>in</strong>g a polynomial function to the centroid coord<strong>in</strong><strong>at</strong>es, it is important to <strong>in</strong>troduce<br />

some k<strong>in</strong>d <strong>of</strong> rejection limits below and above the fit accord<strong>in</strong>g to the residual sigma, <strong>in</strong><br />

the same way as when fitt<strong>in</strong>g a cont<strong>in</strong>uum to the 1D spectrum <strong>of</strong> a standard star <strong>in</strong> the<br />

flux calibr<strong>at</strong>ion procedure. This avoids bad fits due to errors <strong>in</strong> the centroid measurement<br />

or common artifacts <strong>at</strong> the edges <strong>of</strong> the resampled images. The measured <strong>of</strong>fsets are used<br />

to shift each spectral image <strong>of</strong> the d<strong>at</strong>acube to a common centroid position. The shift is<br />

estim<strong>at</strong>ed from the difference between the polynomial-fit coord<strong>in</strong><strong>at</strong>es and the fixed one. The<br />

imshift task <strong>in</strong> IRAF can be used to perform the rel<strong>at</strong>ive shifts to each image. It has to<br />

be stressed th<strong>at</strong> us<strong>in</strong>g empirical correction for DAR is only possible if a po<strong>in</strong>t source <strong>in</strong> the<br />

FOV is available.<br />

There are several factors which determ<strong>in</strong>e the extent <strong>of</strong> effects for DAR. Among the<br />

most important ones are the airmass and the geometrical size <strong>of</strong> the spaxels. In effect, the<br />

smaller the spaxels the more <strong>of</strong> the flux <strong>at</strong> <strong>different</strong> wavelengths end up on separ<strong>at</strong>e spaxels.<br />

As described before, the fibers on the PPak IFU are circular, <strong>of</strong> 2. ′′ 68 diameter, and are<br />

separ<strong>at</strong>ed by 3. ′′ 6. On the other hand, DAR effects become important for large airmasses,<br />

with values gre<strong>at</strong>er than 1.1. The fact th<strong>at</strong> all our observ<strong>at</strong>ions were obta<strong>in</strong>ed <strong>at</strong> airmasses<br />

lower than the nom<strong>in</strong>al value, comb<strong>in</strong>ed with the large size <strong>of</strong> the fibers on the PPak IFU,<br />

allows us to neglect DAR corrections.<br />

To check the last st<strong>at</strong>ement, we transformed the blue RSS file to a d<strong>at</strong>acube form<strong>at</strong>, and<br />

we measured the centroid coord<strong>in</strong><strong>at</strong>es <strong>of</strong> a star <strong>in</strong> the FOV. The results are presented <strong>in</strong><br />

Figure 3.12. The estim<strong>at</strong>ed centroid coord<strong>in</strong><strong>at</strong>es are plotted as a function <strong>of</strong> wavelength. The<br />

red l<strong>in</strong>e represents a polynomial fit to the distribution. As it can be seen, the position does<br />

not change significantly along the whole wavelength range, imply<strong>in</strong>g th<strong>at</strong> the DAR effect is<br />

negligible. This allows us to work with RSS files, which are more friendly <strong>in</strong> terms <strong>of</strong> d<strong>at</strong>a<br />

analysis, and avoids to transform it to d<strong>at</strong>acube form<strong>at</strong>, which would impose an <strong>in</strong>evitable<br />

<strong>in</strong>terpol<strong>at</strong>ion <strong>of</strong> the d<strong>at</strong>a <strong>in</strong> s<strong>in</strong>gle dither<strong>in</strong>gs (as <strong>in</strong> the case <strong>of</strong> the red d<strong>at</strong>a).

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