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Light echoes give us a unique perspective on the nature of supernovae andnon-terminal stellar explosions. Spectroscopy of light echoes can revealdetails on the kinematics of the ejecta, probe asymmetry, and reveal details onits interaction with circumstellar matter, thus expanding our understanding ofthese transient events. However, the spectral features arise from a complexinterplay between the source photons, the reflecting dust geometry, and theinstrumental setup and observing conditions. In this work we present animproved method for modeling these effects in light echo spectra, one thatrelaxes the simplifying assumption of a light curve weighted sum, and insteadestimates the true relative contribution of each phase. We discuss our logic,the gains we obtain over light echo analysis method(s) used in the past, andprospects for further improvements. Lastly, we show how the new method improvesour analysis of echoes from Tycho's supernova (SN 1572) as an example.

SpectAcLE: An Improved Method for Modeling Light Echo Spectra