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Observational Constraints on The Evolution of Dust in ...

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A. Background Sources 113<br />

Figure A.2 – IRS spectra <strong>of</strong> the background galaxies toward Serpens, shown <strong>in</strong> rest-frame wavelength.<br />

<strong>The</strong> dashed l<strong>in</strong>es <strong>in</strong>dicate the rest-frame PAH features at 6.2, 7.7, 8.6, 11.2, 12.8, and 16.4<br />

µm. <strong>The</strong> object number and z are <strong>in</strong>dicated <strong>in</strong> each panel.<br />

A.2 Background Galaxies<br />

Five <strong>of</strong> the sources with clear PAH features show wavelength shifts <strong>in</strong> their l<strong>in</strong>e positi<strong>on</strong>s<br />

compared with galactic sources. <strong>The</strong>se features thus allow us to identify them as<br />

background galaxies <strong>in</strong> this sample. PAHs are comm<strong>on</strong> features <strong>in</strong> most nearby galaxies<br />

with <strong>on</strong>go<strong>in</strong>g or recent star formati<strong>on</strong> (Smith et al. 2007), and some c<strong>on</strong>tam<strong>in</strong>ati<strong>on</strong><br />

by background galaxies is expected (Papovich et al. 2004).<br />

By identify<strong>in</strong>g PAH features from their shape and pattern (Tielens 2008 and references<br />

there<strong>in</strong>), the observed wavelength (λ obs ) can be related to the rest-frame<br />

wavelength (λ rest ) <strong>of</strong> each feature through a redshift (z = λ obs<br />

λ rest<br />

− 1.0). Between 3<br />

(#12) and 5 (#11 and 68) PAH features are identified <strong>in</strong> each spectrum, and the<br />

redshift <strong>of</strong> each l<strong>in</strong>e is calculated. For a given object, the z values derived from the<br />

various l<strong>in</strong>es agree with<strong>in</strong> 2% and the mean <strong>of</strong> these values is taken as the redshift<br />

for that source. <strong>The</strong>se five redshifted galaxies can be seen, <strong>in</strong> rest-frame wavelength,<br />

<strong>in</strong> Figure A.2.<br />

Star-form<strong>in</strong>g galaxies show str<strong>on</strong>g correlati<strong>on</strong>s between the ext<strong>in</strong>cti<strong>on</strong>-corrected<br />

Paschen α lum<strong>in</strong>osity com<strong>in</strong>g from H ii regi<strong>on</strong>s and the lum<strong>in</strong>osity at 24 µm due to<br />

the emissi<strong>on</strong> <strong>of</strong> dust heated by hot, young stars. Rieke et al. (2009) obta<strong>in</strong>ed powerlaw<br />

fits to the relati<strong>on</strong> between the star formati<strong>on</strong> rate (SFR) and the observed 24 µm<br />

flux densities (f 24,obs ), parameterized with respect to z to take <strong>in</strong>to account the fact<br />

that the rest-frame wavelengths sampled change with redshift (Equati<strong>on</strong> 14 <strong>in</strong> their<br />

paper). In order to estimate the <strong>in</strong>frared lum<strong>in</strong>osity (L(TIR)), we use their best-fit<br />

relati<strong>on</strong>s between the (rest) 24 µm lum<strong>in</strong>osity, L(TIR) and SFR (Eqs. 11 and 25).

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