A Fast Series Approach to Lensing by Power-law Mass Distributions and Its Applied Examples

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Scientific paper

The general power-law elliptical mass distribution (EMD) is considered as a realistic lens model. We first present the fast series method (developed by Chae, Khersonsky, and Turnshek and described in ApJ, 506, 80) of calculating the deflection and magnification by the EMD. The accuracy and speed of the method are highlighted and are compared with other methods. We then apply the model to three known gravitational lenses, Q2237+0305, H1413+1143, and Q0957+561. For Q2237+0305 a single EMD is used as the lens model while in the other cases two EMDs are used representing the primary lensing galaxy and a cluster (or, a secondary lensing galaxy), respectively. For Q0957+561, the implication of the modeling results to the estimation of the Hubble constant is addressed.

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