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Hi everyone - I'm looking for web references that explain the physics
behind the different shapes of SN light curves obtained when performing photometric analysis at different wavelength (U,V,B,R,I). Appreciate your assistance with this. Alex |
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I don't know enough about the physics to separate the
grain from the chaff, but Google's new Scholar search is your friend: http://scholar.google.com/scholar?q=...analysis+bands HTH xanthian. |
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Alex wrote:
Hi everyone - I'm looking for web references that explain the physics behind the different shapes of SN light curves obtained when performing photometric analysis at different wavelength (U,V,B,R,I). Appreciate your assistance with this. I suspect strongly that there is no good, simple explanation of the physics underlying the difference in light curve shapes at the level you are seeking. For one thing, one must discuss the radiative transfer of energy through an expanding shell of gas with varying temperature, density and chemical composition. It's a very difficult problem if you want to get into the details. At the simplest level, treat a supernova explosion as an expanding blackbody. As the supernova ejecta expands, its surface area increases (that makes it more luminous), but its temperature decreases (that makes it less luminous). At very early times, the expanding factor wins, and the supernova grows brighter. At late times, the cooling factor wins, and the supernova grows fainter. In this very simple approximation, one might expect almost identical light curves in each passband ... but not quite. The blue passbands would evolve more quickly because they sample light on the exponential tail of the blackbody spectrum, which is more sensitive to temperature. At the next level of approximation, you can try to figure out where the "photosphere" of the star lies within the expanding ejecta. In Type II SNe explosions, which have massive, H-rich envelopes, there is a pseudo-photosphere within the gas at the point where hydrogen is just recombining (i.e. changing from ionized to neutral); this occurs at a temperature of several thousand degrees. As the ejecta flies outwards, the pseudo-photosphere is carried with it ... but it also gradually moves inwards (in a relative sense) as the ejecta thins and cools. If you treat most of the visible light as emitted in this pseudo-photosphere, you can do a better job of re-creating the light curves in different passbands. You might read papers on the "Expanding Photosphere Method" to learn more about this subject. Beyond that, it gets really complicated :-( Michael Richmond |
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