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Cape Town Reloaded 2012

     Searching for Supernovae in
        SDSS Galaxy Spectra
 Rahman Amanullah
 Roger Deane
 Ariel Goobar
 Michelle Knights
 Aleksander Kurek
 Bob Nichol
 Hadi Rahmani
Why Search for Supernovae in SDSS?


                                To do cosmology we
                                need light curves not
                                spectra, so why bother
                                looking for supernovae
                                in the SDSS database?




  Perlmutter et al. (1998)
Why Search for Supernovae in SDSS?


                                To do cosmology we
                                need light curves not
                                spectra, so why bother
                                looking for supernovae
                                in the SDSS database?

                                Type Ia supernova rates
                                help constrain the time
                                delay between
                                progenitor formation
                                and explosion. This
                                improves cosmological
                                constraints.
  Perlmutter et al. (1998)
Supernova Rates



                       Ia Supernova rate as a
                       function of redshift.
                       Lines show models for
                       different delay times of
                       SNe progenitors.




Dahlen et al. (2004)
Supernova Rates


                       A photometrically
                       selected sample could
                       yield different SN rates
                       to a spectroscopic one.
                       There could be other
                       surprises once broken up
                       as a function of host
                       type, inclination etc.




Dahlen et al. (2004)
Dependence on Host Parameters


                                Rates are seen to depend
                                on star formation rate
                                and stellar mass. We
                                will look for
                                relationships between
                                galaxy properties and
                                SN rates.




Sullivan et al. (2006)
Searching for Supernovae




                                             Broad
                                             features




 Example galaxy spectrum.   Example galaxy spectrum
                            with supernova.
FFT Method to Reduce the Number of Candidates



                           Periodogram of spectrum
                    FF
                       T
Supernovae Templates




                       SNIa Templates taken from Hsiao et al. (2007)
FFT Method to Reduce the Number of Candidates




                                            Epoch




                      FFT of SNIa Templates from Hsiao et al. (2007)
FFT Method to Reduce the Number of Candidates




                                              These areas have
                                              increased power,
                                              relative to the rest
                                              of the
                                 Epoch        periodogram.




                      FFT of SNIa Templates from Hsiao et al. (2007)
Template Fitting

Spectrum smoothing using a Gaussian filter:
Template Fitting




                   We fit a polynomial
                   to the residuals of the
                   spectrum minus the
                   template to correct
                   for wavelength
                   dependent effects.
Template Fitting

1) Smooth the spectrum to remove galaxy emission lines (Gaussian filter).

2) Step through all epochs, fitting the template to the spectrum.

3) For each epoch:
    * Scale the template appropriately.
    * Subtract the template from the spectrum.
    * Fit a second order polynomial to the residuals, to remove wavelength-
      dependent effects.
    * Calculate the χ2 using the template + polynomial as the model.

4) The minimum χ2 indicates the best fit epoch.

5) All spectra with epoch >-20 (at least some light comes from a
supernova) are candidates.
Mock Catalogue

To test the efficiency of our methods, we use mock catalogues. These are
generated using randomly chosen galaxy spectra from the SDSS dataset
and inserting some SNIa templates into some of them.




                                                    Example spectrum from the
                                                    mock catalogue with best fit
                                                    template.
Summary
Finding supernovae in the SDSS spectral database can constrain
supernova rates and give information about SN progenitors.

With a dataset of nearly one million objects, efficient techniques
must be developed to perform this search in a computationally
feasible way.

An FFT based method has been developed to cut down the
number of candidates. Other methods, such as using
supernovae identifier codes, are also being investigated.

As it is essential to know how efficient a method is before
applying it to the SDSS data, a mock catalogue has been
created.

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Searching for Supernovae

  • 1. Cape Town Reloaded 2012 Searching for Supernovae in SDSS Galaxy Spectra Rahman Amanullah Roger Deane Ariel Goobar Michelle Knights Aleksander Kurek Bob Nichol Hadi Rahmani
  • 2. Why Search for Supernovae in SDSS? To do cosmology we need light curves not spectra, so why bother looking for supernovae in the SDSS database? Perlmutter et al. (1998)
  • 3. Why Search for Supernovae in SDSS? To do cosmology we need light curves not spectra, so why bother looking for supernovae in the SDSS database? Type Ia supernova rates help constrain the time delay between progenitor formation and explosion. This improves cosmological constraints. Perlmutter et al. (1998)
  • 4. Supernova Rates Ia Supernova rate as a function of redshift. Lines show models for different delay times of SNe progenitors. Dahlen et al. (2004)
  • 5. Supernova Rates A photometrically selected sample could yield different SN rates to a spectroscopic one. There could be other surprises once broken up as a function of host type, inclination etc. Dahlen et al. (2004)
  • 6. Dependence on Host Parameters Rates are seen to depend on star formation rate and stellar mass. We will look for relationships between galaxy properties and SN rates. Sullivan et al. (2006)
  • 7. Searching for Supernovae Broad features Example galaxy spectrum. Example galaxy spectrum with supernova.
  • 8. FFT Method to Reduce the Number of Candidates Periodogram of spectrum FF T
  • 9. Supernovae Templates SNIa Templates taken from Hsiao et al. (2007)
  • 10. FFT Method to Reduce the Number of Candidates Epoch FFT of SNIa Templates from Hsiao et al. (2007)
  • 11. FFT Method to Reduce the Number of Candidates These areas have increased power, relative to the rest of the Epoch periodogram. FFT of SNIa Templates from Hsiao et al. (2007)
  • 12. Template Fitting Spectrum smoothing using a Gaussian filter:
  • 13. Template Fitting We fit a polynomial to the residuals of the spectrum minus the template to correct for wavelength dependent effects.
  • 14. Template Fitting 1) Smooth the spectrum to remove galaxy emission lines (Gaussian filter). 2) Step through all epochs, fitting the template to the spectrum. 3) For each epoch: * Scale the template appropriately. * Subtract the template from the spectrum. * Fit a second order polynomial to the residuals, to remove wavelength- dependent effects. * Calculate the χ2 using the template + polynomial as the model. 4) The minimum χ2 indicates the best fit epoch. 5) All spectra with epoch >-20 (at least some light comes from a supernova) are candidates.
  • 15. Mock Catalogue To test the efficiency of our methods, we use mock catalogues. These are generated using randomly chosen galaxy spectra from the SDSS dataset and inserting some SNIa templates into some of them. Example spectrum from the mock catalogue with best fit template.
  • 16. Summary Finding supernovae in the SDSS spectral database can constrain supernova rates and give information about SN progenitors. With a dataset of nearly one million objects, efficient techniques must be developed to perform this search in a computationally feasible way. An FFT based method has been developed to cut down the number of candidates. Other methods, such as using supernovae identifier codes, are also being investigated. As it is essential to know how efficient a method is before applying it to the SDSS data, a mock catalogue has been created.