Empirical optical k-Corrections for redshifts <= 0.7

The Smithsonian Hectospec Lensing Survey (SHELS) is a magnitude limited spectroscopically complete survey for R<=21.0 covering 4 square degrees. SHELS provides a large sample (15,513) of flux calibrated spectra. The wavelength range covered by the spectra allows empirical determination of k-corrections for the g- and r-band from z=0 to ~0.68 and 0.33, respectively, based on large samples of spectra. We approximate the k-corrections using only two parameters in a standard way: Dn4000 and redshift. We use Dn4000 rather than the standard observed galaxy color because Dn4000 is a redshift independent tracer of the stellar population of the galaxy. Our approximations for the k-corrections using Dn4000 are as good as (or better than) those based on observed galaxy color (g-r) (sigma of the scatter is ~0.08 mag). The approximations for the k-corrections are available in an on-line calculator. Our results agree with previously determined analytical approximations from single stellar population (SSP) models fitted to multi-band optical and near-infrared photometry for galaxies with a known redshift. Galaxies with the smallest Dn4000-the galaxies with the youngest stellar populations-are always attenuated and/or contain contributions from older stellar populations. We use simple single SSP fits to the SHELS spectra to study the influence of emission lines on the k-correction. The effects of emission lines can be ignored for rest-frame equivalent widths <~ 100 A depending on required photometric accuracy. We also provide analytic approximations to the k-corrections determined from our model fits for z<=0.7 as a function of redshift and Dn4000 for ugriz and UBVRI (sigma of the scatter is typically ~0.10 mag). Again, the approximations using Dn4000 are as good (or better than) those based on a suitably chosen observed galaxy color. We provide all analytical approximations in an on-line calculator.

Evolution of the Halpha luminosity function

The Smithsonian Hectospec Lensing Survey (SHELS) is a window on the star formation history over the last 4 Gyr. SHELS is a spectroscopically complete survey for Rtot < 20.3 over 4 square degrees. We use the 10k spectra to select a sample of pure star forming galaxies based on their Halpha emission line. We use the spectroscopy to determine extinction corrections for individual galaxies and to remove active galaxies in order to reduce systematic uncertainties. We use the large volume of SHELS with the depth of a narrowband survey for Halpha galaxies at z ~ 0.24 to make a combined determination of the Halpha luminosity function at z ~ 0.24. The large area covered by SHELS yields a survey volume big enough to determine the bright end of the Halpha luminosity function from redshift 0.100 to 0.377 for an assumed fixed faint-end slope alpha = -1.20. The bright end evolves: the characteristic luminosity L* increases by 0.84 dex over this redshift range. Similarly, the star formation density increases by 0.11 dex. The fraction of galaxies with a close neighbor increases by a factor of 2-5 for L(Halpha) >~ L* in each of the redshift bins. We conclude that triggered star formation is an important influence for star forming galaxies with Halpha emission.