Corpus ID: 10614350

Continuous Limit of Multiple Gravitational Lens Effect and Average Magnification Factor

@article{Yoshida2003ContinuousLO,
  title={Continuous Limit of Multiple Gravitational Lens Effect and Average Magnification Factor},
  author={Hiroshi Yoshida and Kouji Nakamura and Minoru Omote},
  journal={arXiv: Astrophysics},
  year={2003}
}
We show that the gravitational magnification factor averaged over all configurations of lenses in a locally inhomogeneous universe satisfy a second order differential equation with redshift $z$ by taking the continuous limit of multi-plane gravitational lens equation (the number $N$ of lenses $\to\infty$) and that the gravitationally magnified Dyer-Roeder distance in a clumpy universe becomes to that of the Friedmann-Lema\^{\i}tre universe for arbitrary values of the density parameter $\Omega_… Expand

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