Abstract

There are now hundreds of publicly available supernova spectral time series. Radiative transfer modeling of this data provides insight into the physical properties of these explosions, such as the composition, the density structure, and the intrinsic luminosity, which is invaluable for understanding the supernova progenitors, the explosion mechanism, and for constraining the supernova distance. However, a detailed parameter study of the available data has been out of reach due to the high dimensionality of the problem coupled with the still significant computational expense. We tackle this issue through the use of machine-learning emulators, which are algorithms for high-dimensional interpolation. These use a pre-calculated training dataset to mimic the output of a complex code but with run times that are orders of magnitude shorter. We present the application of such an emulator to synthetic type II supernova spectra generated with the TARDIS radiative transfer code. The results show that with a relatively small training set of 780 spectra we can generate emulated spectra with interpolation uncertainties of less than one percent. We demonstrate the utility of this method by automatic spectral fitting of two well-known type IIP supernovae; as an exemplary application, we determine the supernova distances from the spectral fits using the tailored-expanding-photosphere method. We compare our results to previous studies and find good agreement. This suggests that emulation of TARDIS spectra can likely be used to perform automatic and detailed analysis of many transient classes putting the analysis of large data repositories within reach.

Highlights

  • In recent years, improvements in instrumentation as well as the supply of targets have led to a tremendous increase in the volume of spectral data gathered for astrophysical transients of all kinds

  • We present the application of such an emulator to synthetic type II supernova spectra generated with the tardis radiative transfer code

  • We demonstrate the utility of this method by automatic spectral fitting of two well-known type IIP supernovae; as an exemplary application, we determine the supernova distances from the spectral fits using the tailored-expanding-photosphere method

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Summary

Introduction

Improvements in instrumentation as well as the supply of targets have led to a tremendous increase in the volume of spectral data gathered for astrophysical transients of all kinds. Radiative transfer models have the power to infer underlying physical properties such as the composition and structure of the ejecta; we constrain these quantities by adjusting parametrized models of the emitting objects such that the simulated and observed spectra match This provides, for example, information about the progenitor systems of the explosion for many kinds of transients (e.g., Hachinger et al 2012 for SN Ic, Barna et al 2017 for SN Iax). A cosmological application requires a large number of uniformly studied supernovae, which will be made possible by the use of emulators Such an endeavor will provide an independent, physics-based probe of the cosmic expansion history.

Parametrized supernova models with Tardis
Creation of a SN II spectral training set
Preprocessing and dimensionality reduction
Spectra
Absolute magnitudes
Evaluation of the emulator performance
Learning behavior of the emulator
Modeling observations
Likelihood for parameter inference
Fitting observed spectra
SN 1999em
July 2005 10 July 2005 11 July 2005 14 July 2005 16 July 2005
SN 2005cs
Distance measurements
14 Nov 1999
Full Text
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