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

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66 3 • IFS <strong>of</strong> a GEHR <strong>in</strong> NGC 6946<br />

the case <strong>of</strong> IFUs. These k<strong>in</strong>d <strong>of</strong> studies only consider the results derived from the strongest<br />

emission l<strong>in</strong>es which have small proportional errors. However, we must be careful when the<br />

aim <strong>of</strong> the work is the detailed and precise <strong>study</strong> s<strong>in</strong>ce the errors <strong>in</strong>troduced by the fitt<strong>in</strong>g<br />

are higher for the weakest l<strong>in</strong>es, <strong>in</strong>clud<strong>in</strong>g the auroral ones.<br />

We have produced good cont<strong>in</strong>uum fits for each <strong>of</strong> the 993 spectra <strong>in</strong> the blue mosaic<br />

wavelength range. This can be checked by cre<strong>at</strong><strong>in</strong>g maps (see section 3.4.2) <strong>of</strong> several <strong>regions</strong><br />

(free <strong>of</strong> emission l<strong>in</strong>es) <strong>of</strong> the cont<strong>in</strong>uum after model subtraction. In other words, this k<strong>in</strong>d<br />

<strong>of</strong> maps are plots <strong>of</strong> the fit residuals, s<strong>in</strong>ce the subtracted spectrum should be around zero<br />

<strong>in</strong> the cont<strong>in</strong>uum, except for the emission l<strong>in</strong>es. The fit residuals can be <strong>sp<strong>at</strong>ially</strong> checked<br />

cre<strong>at</strong><strong>in</strong>g a map with the values obta<strong>in</strong>ed by add<strong>in</strong>g the contribution <strong>of</strong> a small <strong>in</strong>terval <strong>of</strong> the<br />

cont<strong>in</strong>uum near an emission l<strong>in</strong>e for each spectrum (spaxel) <strong>in</strong> the RSS file. Two vertical l<strong>in</strong>es<br />

<strong>in</strong> the upper right panel <strong>of</strong> Figure 3.13 show the <strong>in</strong>terval used for the maps <strong>of</strong> the residuals<br />

plotted <strong>in</strong> the lower panels. The lower left panel represents the residual map <strong>in</strong> the spectral<br />

range 6450-6500 Å (near the emission l<strong>in</strong>es <strong>of</strong> Hii and [Nii] λλ 6548,6584 Å) for a fit to the<br />

cont<strong>in</strong>uum us<strong>in</strong>g a templ<strong>at</strong>e with only solar metallicity and a grid <strong>of</strong> 12 ages, as expla<strong>in</strong>ed<br />

before. The lower right panel shows the residual map for a templ<strong>at</strong>e with metallicities 0.004,<br />

0.008, and 0.02 <strong>in</strong> the same spectral range and same grid <strong>of</strong> ages. Two wavelength ranges <strong>of</strong><br />

the fit used to cre<strong>at</strong>e the last map can be seen <strong>in</strong> the upper panels. Whenever the fit is good,<br />

the sum over the small wavelength <strong>in</strong>terval should be around zero. As it can be seen, the<br />

map for a templ<strong>at</strong>e with a s<strong>in</strong>gle (solar) metallicity (lower left panel) gives higher residuals<br />

than us<strong>in</strong>g the three-metallicities templ<strong>at</strong>e (lower right panel). In the last one, the colormap<br />

shows a very uniform distribution with almost all the values conta<strong>in</strong>ed between -0.1 and 0.1,<br />

and only a few <strong>regions</strong> with larger devi<strong>at</strong>ions. On the contrary, the former map has several<br />

<strong>regions</strong> with strong differences between the cont<strong>in</strong>uum and the fit, reach<strong>in</strong>g values as high<br />

as 0.9 (notice th<strong>at</strong> top values <strong>in</strong> the other map are below 0.3). It must be noted th<strong>at</strong> the<br />

devi<strong>at</strong>ions are rel<strong>at</strong>ed with sp<strong>at</strong>ial <strong>regions</strong> with strong emission, usually correl<strong>at</strong>ed with the<br />

<strong>in</strong>tense knots. The shape <strong>of</strong> the cont<strong>in</strong>uum near these zones cannot be properly m<strong>at</strong>ched<br />

with one metallicity templ<strong>at</strong>e alone, so a comb<strong>in</strong><strong>at</strong>ion <strong>of</strong> them are needed. The best fit us<strong>in</strong>g<br />

the lowest number <strong>of</strong> metallicities was us<strong>in</strong>g a comb<strong>in</strong><strong>at</strong>ion <strong>of</strong> 0.004, 0.008 and 0.02.<br />

3.4.2 L<strong>in</strong>e <strong>in</strong>tensities<br />

As mentioned <strong>in</strong> last subsection, FIT3D is a package to fit and deblend emission l<strong>in</strong>es.<br />

Us<strong>in</strong>g this s<strong>of</strong>tware, we fitted l<strong>in</strong>e pr<strong>of</strong>iles on each <strong>of</strong> the 993 blue spectra and 331 red spectra<br />

<strong>in</strong> order to derive the <strong>in</strong>tegr<strong>at</strong>ed flux <strong>of</strong> each emission l<strong>in</strong>e. The program fits the d<strong>at</strong>a with a<br />

given model comput<strong>in</strong>g a m<strong>in</strong>imiz<strong>at</strong>ion <strong>of</strong> the reduced χ 2 and us<strong>in</strong>g a modified Levenberg-<br />

Marquardt algorithm. The d<strong>at</strong>a is provided through a configur<strong>at</strong>ion file where the model is<br />

described. The functions available to build the model are a one dimensional gaussian, a N-<br />

order polynomial function and a spectrum background. A s<strong>in</strong>gle Gaussian was fitted to each

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