Basic geometry for constructing the projected surface brightness profile I(R) from the 3-D luminosity density j(r). In practice, we measure I(R) and want to deproject it to find j(r). This inversion generates an Abel integral equation for j(r).
Projection of Luminosity: j(r) --> I(R) |
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Basic geometry for constructing the projected surface brightness profile I(R) from the 3-D luminosity density j(r). In practice, we measure I(R) and want to deproject it to find j(r). This inversion generates an Abel integral equation for j(r). |