The continuous limit of the multiple lens effect and the optical scalar equation |
| |
| Authors: | Hiroshi Yoshida Kouji Nakamura Minoru Omote |
| |
| Institution: | Department of Physics, Fukushima Medical University, Fukushima-City 960-1295, Japan;Department of Astronomical Science, The Graduate University of Advanced Studies, Osawa, Mitaka 181-8588, Japan;Department of Physics, Keio University, Hiyoshi, Yokohama 223-8521, Japan |
| |
| Abstract: | We study the continuous limit of the multiple gravitational lensing theory based on the thin lens approximation. We define a new, light-path dependent angular diameter distance  and show that it satisfies the optical scalar equation. The distance provides relations between quantities used in gravitational lensing theory (the convergence, the shear and the twist terms) and those used in scalar optics theory (the rates of expansion, shear and rotation). |
| |
| Keywords: | gravitational lensing cosmology: theory distance scale |
|
|
